MaplePrimes Questions

I have a module with quite a few procedures and it is getting too long and complex. Basicially I write each procedure in a seperate document, them copy and paste it into the module. I want to improve matters as save each proc and read it in to the module

e.g.  Qdim:=proc(A,B).........end proc

        save Qdim , "Qdim.?"   have tried .txt ,.mla , .m  They save fine.

in the module have tried

read "Qdim.txt" etc.   I have included Qdim in export but Qdim doesnt work Qdim(A,B) returns Qdim(A,B)

read "C:\Users\Ronan\Documents\MAPLE\Rational Trinonometry\Qdim.m";

which procuces an error

Error, (in unknown) could not open `C:UsersRonanDocumentsMAPLERational TrinonometryQdim.m` for reading

 

Not sure if this is documented explicitly to Maple users, but normally (prior to Maple 2017) interface(typesetting=extended) was all that was required to output display diff(y(x),x) as y'(x)

With Maple 2017 typesetting=extended is default and one must use with(Typesetting)  Settings(typesetprime=true) in order to output the display of diff(y(x),x) as y'(x).

Perhaps this is well documented somewhere, however I was unable to find the change. 

I am new to Maple and I am trying to add units to the "Flow Through an Expansion Valve" Application Demonstration.  I was trying pressure in [PSI], temperature in [degC] and flow rate in [kg/hour] everything else in SI units.  I included with(Units:-Standard) but had no luck with the fsolve function.

Any chance someone could make a version of this demonstration applicaton that includes units?

 

Thanks

 

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> restart; with(PDETools), with(plots);
> n := .3; Pr := 7; Da := 0.1e-4; Nb := .1; Nt := .1; tau := 5;
> Eq1 := (1-n)*(diff(f(x, y), `$`(y, 3)))+(1+x*cot(x))*f(x, y)*(diff(f(x, y), `$`(y, 2)))-(diff(f(x, y), y))/Da+(diff(f(x, y), y))^2+n*We*(diff(f(x, y), `$`(y, 2)))*(diff(f(x, y), `$`(y, 3)))+sin(x)*(theta(x, y)+phi(x, y))/x = x*((diff(f(x, y), y))*(diff(f(x, y), y, x))+(diff(f(x, y), `$`(y, 2)))*(diff(f(x, y), x)));
> Eq2 := (diff(theta(x, y), `$`(y, 2)))/Pr+Nt*(diff(theta(x, y), y))^2/Pr+Nb*(diff(phi(x, y), y))*(diff(theta(x, y), y))/Pr+(1+x*cot(x))*f(x, y)*(diff(theta(x, y), y)) = x*((diff(f(x, y), y))*(diff(theta(x, y), x))+(diff(theta(x, y), y))*(diff(f(x, y), x)));
> Eq3 := Nb*(diff(phi(x, y), `$`(y, 2)))/(tau*Pr)+Nt*(diff(theta(x, y), `$`(y, 2)))/(tau*Pr)+(1+x*cot(x))*f(x, y)*(diff(phi(x, y), y)) = x*((diff(f(x, y), y))*(diff(phi(x, y), x))+(diff(phi(x, y), y))*(diff(f(x, y), x)));
> ValWe := [0, 5, 10];
> bcs := {Nb*(D[2](phi))(x, 0)+Nt*(D[2](theta))(x, 0) = 0, f(0, y) = ((1/12)*y)^2*(6-8*((1/12)*y)+3*((1/12)*y)^2), f(x, 0) = 0, phi(0, y) = -.5*y, phi(x, 12) = 0, theta(0, y) = (1-(1/12)*y)^2, theta(x, 0) = 1, theta(x, 12) = 0, (D[2](f))(x, 0) = Da^(1/2)*(D[2, 2](f))(x, 0)+Da*(D[2, 2, 2](f))(x, 0), (D[2](f))(x, 12) = 0};
> pdsys := {Eq1, Eq2, Eq3}; for i to 3 do We := ValWe[i]; ans[i] := pdsolve(pdsys, bcs, numeric) end do;
> p1 := ans[1]:-plot(theta(x, y), x = 1, color = blue); p2 := ans[2]:-plot(theta(x, y), x = 1, color = green); p3 := ans[3]:-plot(theta(x, y), x = 1, color = black);
> plots[display]({p1, p2, p3});

I know the latex() command in Maple have many issues and I have no hope of what I will ask having a solution, but thought to ask any way.

Is there a way to make maple generate the latex for all the derivatives to use ' instead of d/dx ?

for example, given this
 

ode:=diff(y(x),x)=x;
latex(ode,output=string);

The Latex generated (which is correct) is

{\frac {\rm d}{{\rm d}x}}y \left( x \right) =x

but sometines I find it more readable if the latex was

y'(x)=x

which is more common in textbooks and other places. The problem also is that I am using worksheet so can't use  y'(x) as input.

But even switching to document mode, and writing it 2D math as input, the Latex output still does not match the input

So if there is a solution to this, would it require changing the latex() command itself? or can it be done at user level?

I'd like all orders of derivatives anywhere in the equation to come out as y'' etc.. so diff(y(x),x$3) should generate the latex y'''(x) and so on.

Is there a trick to do this?

Maple 2017.2

 

 

I am trying to solve a system of equations (I'm using MapleTA< but I'm pretty sure that this applies to any Maple product).  I have successfully solved the system, and obtain a set of solutions, which has name Soln.  I can access the element Soln[1], which is an expression:

vn2 = 12/7

Now, I just want that 12/7, as a decimal.  I try evalf(Soln[1]), but again I end up with vn2 = 12/7.  How do I get the decimal number out, without it being an expression?

on the basis of Fundamental theorem of calculus, the function " f " has Antiderivative F , whichi F is continuous and differentiabe in the range of integration, i have a question ? if function f has an Antiderivative F, should it be also continuous and differentiabe in that range? in the picture below it says "when f is continuous", can f be discontinuous? how it can be ? any examples?

Using convert(f,elsymfun) when f is a symmetric polynomial will write it in terms of elementary symmetric polynomials. For example, x^2+y^2 would become (x+y)^2-2x*y. For this command not to return an error, f must be symmetric, equivalently of type symmfunc(all indeterminants in expression).

I'd like to use this in a broader sense, when there are extra variables hanging around. For example, suppose f is a polynomial in a,b,c,x,y,z, and symmetric in x,y,z, so that type(f,symmfunc(x,y,z)) returns true. Then it is still possible to write this in terms of the elementary symmetric polynomials on x,y,z (with coefficients taken being rational polynomials in a,b,c).

For example, a+x^2+y^2 can be written as a+(x+y)^2-2x*y.

Is there a command available for this? Or is there a roundabout way to make Maple forget temporarily that a,b,c are indeterminants, before putting them back in after?

Thanks

Is there a simple command to generate decimal numbers in a given range? 

For example, I wish to obtain a randomly generated number between, say ... -0.5 and 0.5.

 

I'm plotting matrices using the proc in the attached file.

How do I move the rows in the plot closer to each other?
The first picture show the rows plotted in the values [13,14...19].
I want them to be plotted in values like [13,13.5,14,14.5...].

Second picture shows how I would like it to be. Created it in paint, from a different matrix.Matrix_plot.mw

please help me on check my schmitt2.msim schmitt's trigger 

hi..

I dont know why ''Y'' in this code does not calculate?

Also in Determinant  should exist term ''Omega''!!!

however this term not apear!!

please help

thanksZrO2.mw
 

restart

 

with(LinearAlgebra):

with(LinearAlgebra):

with(VectorCalculus):

E_c:=200e9:

rho_m:=2702:

rho_c:=5700:h:=1:Digits:=200:


E1 := `-`(4.2705019043175109408418470672541038566261199358253*10^11*V1(0))+`-`(2.3725010579541727449121372595856132536811777421250*10^11*V2(0))+1.5696340652026885245525677229595578452458265608494*10^11*W(1)+`-`(2.0979486841753331066266817163288024688566490248347*10^11*W(3))+5.4007241680476829082789400225291715487122216582787*10^10*W(5)+3.5809247085360964145389659227744194611678663499154*10^11*V1(2)+1.9894026158533868969660921793191219228710368610640*10^11*V2(2)+`-`(1.5013483257366249401397118595815208870951202899385*10^11*V1(4))+`-`(8.3408240318701385563317325532306715949728904996586*10^10*V2(4))+2850.*(omega^2)*V1(0)+`-`(2389.7976509529002380373043584565514766271608718347*(omega^2)*V1(2))+1001.9531250000000000000000000000000000000000000000*(omega^2)*V1(4):

 

E2 := VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.3725010579541727449121372595856132536811777421250, 10^11), V1(0))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(4.2705019043175109408418470672541038566261199358252, 10^11), V2(0)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.9894026158533868969660921793191219228710368610640, 10^11), V1(2))), VectorCalculus:-`*`(VectorCalculus:-`*`(3.5809247085360964145389659227744194611678663499153, 10^11), V2(2))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(8.3408240318701385563317325532306715949728904996586, 10^10), V1(4)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.5013483257366249401397118595815208870951202899385, 10^11), V2(4)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.5696340652026885245525677229595578452458265608494, 10^11), W(1))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.0979486841753331066266817163288024688566490248347, 10^11), W(3)))), VectorCalculus:-`*`(VectorCalculus:-`*`(5.4007241680476829082789400225291715487122216582787, 10^10), W(5))), VectorCalculus:-`*`(VectorCalculus:-`*`(2850., omega^2), V2(0))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2389.7976509529002380373043584565514766271608718347, omega^2), V2(2)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1001.9531250000000000000000000000000000000000000000, omega^2), V2(4))):

E3 := VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.8980008463633381959297098076684906029449421937001, 10^11), W(0))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.0464227101351256830350451486397052301638843738996, 10^11), V1(1)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.3986324561168887377511211442192016459044326832232, 10^11), V1(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(3.6004827786984552721859600150194476991414811055185, 10^10), V1(5)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.5915220926827095175728737434552975382968294888513, 10^11), W(2))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(6.6726592254961108450653860425845372759783123997272, 10^10), W(4)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.0464227101351256830350451486397052301638843738996, 10^11), V2(1)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.3986324561168887377511211442192016459044326832232, 10^11), V2(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(3.6004827786984552721859600150194476991414811055185, 10^10), V2(5)))), VectorCalculus:-`*`(VectorCalculus:-`*`(2850., omega^2), W(0))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2389.7976509529002380373043584565514766271608718347, omega^2), W(2)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1001.9531250000000000000000000000000000000000000000, omega^2), W(4))):

E4 := VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.0464227101351256830350451486397052301638843738997, 10^11), W(0))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.2214716299255315813643079206596798103103761378024, 10^11), V1(1)))), VectorCalculus:-`*`(VectorCalculus:-`*`(3.3768909335128648548928127154266879343498252829884, 10^11), V1(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.9781847824423219358080619338342989761407203990375, 10^11), V1(5)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.7549042347962743784892618717635313196920712292577, 10^11), W(2))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.2808745009976567622404499724256074938728417212344, 10^11), W(4)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(5.9312526448854318622803431489640331342029443553127, 10^10), V2(1)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.0192655329160445762728144798285002567196893656192, 10^11), V2(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(8.7843041320517842057351587174649326412354044181698, 10^10), V2(5)))), VectorCalculus:-`*`(VectorCalculus:-`*`(712.50000000000000000000000000000000000000000000000, omega^2), V1(1))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1224.4069434960135017602438595742022681505344916052, omega^2), V1(3)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1055.2267908337921786307617355195123093332341255338, omega^2), V1(5))):

E5 := VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.0464227101351256830350451486397052301638843738997, 10^11), W(0))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.2214716299255315813643079206596798103103761378024, 10^11), V2(1)))), VectorCalculus:-`*`(VectorCalculus:-`*`(3.3768909335128648548928127154266879343498252829884, 10^11), V2(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.9781847824423219358080619338342989761407203990375, 10^11), V2(5)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.7549042347962743784892618717635313196920712292577, 10^11), W(2))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.2808745009976567622404499724256074938728417212344, 10^11), W(4)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(5.9312526448854318622803431489640331342029443553127, 10^10), V1(1)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.0192655329160445762728144798285002567196893656192, 10^11), V1(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(8.7843041320517842057351587174649326412354044181698, 10^10), V1(5)))), VectorCalculus:-`*`(VectorCalculus:-`*`(712.50000000000000000000000000000000000000000000000, omega^2), V2(1))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1224.4069434960135017602438595742022681505344916052, omega^2), V2(3)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1055.2267908337921786307617355195123093332341255338, omega^2), V2(5))):

E6 := VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.5696340652026885245525677229595578452458265608495, 10^11), V1(0)), VectorCalculus:-`*`(VectorCalculus:-`*`(1.5696340652026885245525677229595578452458265608495, 10^11), V2(0))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(4.5129617500523730105208889903786611122746970868863, 10^11), W(1)))), VectorCalculus:-`*`(VectorCalculus:-`*`(6.2131578362567818226243648649366563582660969795536, 10^11), W(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.0922794659196454621738794738143334638130489666375, 10^11), W(5)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.9011462543626305766967003610771589296664104983626, 10^11), V1(2)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.9011462543626305766967003610771589296664104983626, 10^11), V2(2)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.8271521540250046106119733650076103042314699809888, 10^11), V1(4))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.8271521540250046106119733650076103042314699809888, 10^11), V2(4))), VectorCalculus:-`*`(VectorCalculus:-`*`(712.50000000000000000000000000000000000000000000000, omega^2), W(1))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1224.4069434960135017602438595742022681505344916052, omega^2), W(3)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1055.2267908337921786307617355195123093332341255338, omega^2), W(5))):

E7 := VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.9011462543626305766967003610771589296664104983626, 10^11), W(1))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(4.7119107128007866217743468531741155729216807681740, 10^11), V1(2)))), VectorCalculus:-`*`(VectorCalculus:-`*`(5.0748128190543187340378117893989426968741725224549, 10^11), V1(4))), VectorCalculus:-`*`(VectorCalculus:-`*`(3.0995137005629364198630176713255719374808867211330, 10^11), W(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.3168284715873139556329481351343925356696602976947, 10^11), W(5)))), VectorCalculus:-`*`(VectorCalculus:-`*`(3.5809247085360964145389659227744194611678663499154, 10^11), V1(0))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.9894026158533868969660921793191219228710368610640, 10^11), V2(0))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.8164461224961635078233550893702351473496517088145, 10^11), V2(2)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.0724123476084663741457840654142141615476683079173, 10^11), V2(4))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2389.7976509529002380373043584565514766271608718347, omega^2), V1(0)))), VectorCalculus:-`*`(VectorCalculus:-`*`(2182.0312500000000000000000000000000000000000000000, omega^2), V1(2))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1288.2502962167977845669843807304847803693289074734, omega^2), V1(4)))):

E8 := -1.9011462543626305766967003610771589296664104983626*10^11*W(1)-4.7119107128007866217743468531741155729216807681740*10^11*V2(2)+5.0748128190543187340378117893989426968741725224549*10^11*V2(4)+3.0995137005629364198630176713255719374808867211330*10^11*W(3)-2.3168284715873139556329481351343925356696602976947*10^11*W(5)+1.9894026158533868969660921793191219228710368610640*10^11*V1(0)+3.5809247085360964145389659227744194611678663499153*10^11*V2(0)-1.8164461224961635078233550893702351473496517088145*10^11*V1(2)+1.0724123476084663741457840654142141615476683079173*10^11*V1(4)-2389.7976509529002380373043584565514766271608718347*omega^2*V2(0)+2182.0312500000000000000000000000000000000000000000*omega^2*V2(2)-1288.2502962167977845669843807304847803693289074734*omega^2*V2(4)

E9 := VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.7549042347962743784892618717635313196920712292577, 10^11), V1(1)), VectorCalculus:-`*`(VectorCalculus:-`*`(1.7549042347962743784892618717635313196920712292577, 10^11), V2(1))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(6.5012338210738538831817609945731111948027982901282, 10^11), W(2)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.1863576954843550511330528903118121550547428135047, 10^12), W(4))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.9040488725995079969887733136744097432253353062867, 10^11), V1(3)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.9040488725995079969887733136744097432253353062867, 10^11), V2(3)))), VectorCalculus:-`*`(VectorCalculus:-`*`(2.2665101950561447195804856166187258422604042194633, 10^11), V1(5))), VectorCalculus:-`*`(VectorCalculus:-`*`(2.2665101950561447195804856166187258422604042194633, 10^11), V2(5))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.5915220926827095175728737434552975382968294888513, 10^11), W(0))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2389.7976509529002380373043584565514766271608718347, omega^2), W(0)))), VectorCalculus:-`*`(VectorCalculus:-`*`(2182.0312500000000000000000000000000000000000000000, omega^2), W(2))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1288.2502962167977845669843807304847803693289074734, omega^2), W(4)))):

E10 := VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.3986324561168887377511211442192016459044326832232, 10^11), W(0)), VectorCalculus:-`*`(VectorCalculus:-`*`(3.3768909335128648548928127154266879343498252829884, 10^11), V1(1))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(6.1222023070711042519748179963162700048903049636371, 10^11), V1(3)))), VectorCalculus:-`*`(VectorCalculus:-`*`(5.9722762993987285423665483888817556162282387212450, 10^11), V1(5))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.9040488725995079969887733136744097432253353062868, 10^11), W(2)))), VectorCalculus:-`*`(VectorCalculus:-`*`(4.4534580327025486258972640897961855979523955862006, 10^11), W(4))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.0192655329160445762728144798285002567196893656192, 10^11), V2(1))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.7886433757232630459689159808594662420330754071490, 10^11), V2(3)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.6315367543759662237835567740527270814718925725463, 10^11), V2(5))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1224.4069434960135017602438595742022681505344916052, omega^2), V1(1)))), VectorCalculus:-`*`(VectorCalculus:-`*`(2148.6328125000000000000000000000000000000000000000, omega^2), V1(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1959.9062914564655436920860212499538090252187294161, omega^2), V1(5)))):

E11 := VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.3986324561168887377511211442192016459044326832232, 10^11), W(0)), VectorCalculus:-`*`(VectorCalculus:-`*`(3.3768909335128648548928127154266879343498252829884, 10^11), V2(1))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(6.1222023070711042519748179963162700048903049636371, 10^11), V2(3)))), VectorCalculus:-`*`(VectorCalculus:-`*`(5.9722762993987285423665483888817556162282387212450, 10^11), V2(5))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.9040488725995079969887733136744097432253353062868, 10^11), W(2)))), VectorCalculus:-`*`(VectorCalculus:-`*`(4.4534580327025486258972640897961855979523955862006, 10^11), W(4))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.0192655329160445762728144798285002567196893656192, 10^11), V1(1))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.7886433757232630459689159808594662420330754071490, 10^11), V1(3)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.6315367543759662237835567740527270814718925725463, 10^11), V1(5))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1224.4069434960135017602438595742022681505344916052, omega^2), V2(1)))), VectorCalculus:-`*`(VectorCalculus:-`*`(2148.6328125000000000000000000000000000000000000000, omega^2), V2(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1959.9062914564655436920860212499538090252187294161, omega^2), V2(5)))):

E12 := VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.0979486841753331066266817163288024688566490248347, 10^11), V1(0))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.0979486841753331066266817163288024688566490248347, 10^11), V2(0)))), VectorCalculus:-`*`(VectorCalculus:-`*`(6.2131578362567818226243648649366563582660969795536, 10^11), W(1))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.1590169508270918129082825092379880685934152633409, 10^12), W(3)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.1929514898827735667473357103796145708703426375351, 10^12), W(5))), VectorCalculus:-`*`(VectorCalculus:-`*`(3.0995137005629364198630176713255719374808867211330, 10^11), V1(2))), VectorCalculus:-`*`(VectorCalculus:-`*`(3.0995137005629364198630176713255719374808867211330, 10^11), V2(2))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(3.8470197411831163997629889061698911342985204774594, 10^11), V1(4)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(3.8470197411831163997629889061698911342985204774594, 10^11), V2(4)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1224.4069434960135017602438595742022681505344916052, omega^2), W(1)))), VectorCalculus:-`*`(VectorCalculus:-`*`(2148.6328125000000000000000000000000000000000000000, omega^2), W(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1959.9062914564655436920860212499538090252187294161, omega^2), W(5)))):

E13 := VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.8271521540250046106119733650076103042314699809887, 10^11), W(1)), VectorCalculus:-`*`(VectorCalculus:-`*`(5.0748128190543187340378117893989426968741725224548, 10^11), V1(2))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(9.4675908045149947710569375270005700088105651033426, 10^11), V1(4)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(3.8470197411831163997629889061698911342985204774594, 10^11), W(3)))), VectorCalculus:-`*`(VectorCalculus:-`*`(4.8700076253112037420543824992554999016189996047000, 10^11), W(5))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.5013483257366249401397118595815208870951202899385, 10^11), V1(0)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(8.3408240318701385563317325532306715949728904996586, 10^10), V2(0)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.0724123476084663741457840654142141615476683079173, 10^11), V2(2))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.2408423807134586334931704209832226544674079633954, 10^11), V2(4)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1001.9531250000000000000000000000000000000000000000, omega^2), V1(0))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1288.2502962167977845669843807304847803693289074734, omega^2), V1(2)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1490.5792236328125000000000000000000000000000000000, omega^2), V1(4))):

E14 := VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.8271521540250046106119733650076103042314699809887, 10^11), W(1)), VectorCalculus:-`*`(VectorCalculus:-`*`(5.0748128190543187340378117893989426968741725224548, 10^11), V2(2))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(9.4675908045149947710569375270005700088105651033426, 10^11), V2(4)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(3.8470197411831163997629889061698911342985204774594, 10^11), W(3)))), VectorCalculus:-`*`(VectorCalculus:-`*`(4.8700076253112037420543824992554999016189996047000, 10^11), W(5))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(8.3408240318701385563317325532306715949728904996586, 10^10), V1(0)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.5013483257366249401397118595815208870951202899385, 10^11), V2(0)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.0724123476084663741457840654142141615476683079173, 10^11), V1(2))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.2408423807134586334931704209832226544674079633954, 10^11), V1(4)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1001.9531250000000000000000000000000000000000000000, omega^2), V2(0))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1288.2502962167977845669843807304847803693289074734, omega^2), V2(2)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1490.5792236328125000000000000000000000000000000000, omega^2), V2(4))):

E15 := VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.2808745009976567622404499724256074938728417212344, 10^11), V1(1))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.2808745009976567622404499724256074938728417212344, 10^11), V2(1)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.1863576954843550511330528903118121550547428135047, 10^12), W(2))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.6311934721878459214486844029094270431266234063024, 10^12), W(4)))), VectorCalculus:-`*`(VectorCalculus:-`*`(4.4534580327025486258972640897961855979523955862006, 10^11), V1(3))), VectorCalculus:-`*`(VectorCalculus:-`*`(4.4534580327025486258972640897961855979523955862006, 10^11), V2(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(5.0261223082938320761218206092817337666989622620092, 10^11), V1(5)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(5.0261223082938320761218206092817337666989622620092, 10^11), V2(5)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(6.6726592254961108450653860425845372759783123997272, 10^10), W(0)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1001.9531250000000000000000000000000000000000000000, omega^2), W(0))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1288.2502962167977845669843807304847803693289074734, omega^2), W(2)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1490.5792236328125000000000000000000000000000000000, omega^2), W(4))):

E16 := VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(3.6004827786984552721859600150194476991414811055197, 10^10), W(0))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.9781847824423219358080619338342989761407203990374, 10^11), V1(1)))), VectorCalculus:-`*`(VectorCalculus:-`*`(5.9722762993987285423665483888817556162282387212450, 10^11), V1(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.0811342250226880053021853608526459273776333972115, 10^12), V1(5)))), VectorCalculus:-`*`(VectorCalculus:-`*`(2.2665101950561447195804856166187258422604042194634, 10^11), W(2))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(5.0261223082938320761218206092817337666989622620092, 10^11), W(4)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(8.7843041320517842057351587174649326412354044181698, 10^10), V2(1)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.6315367543759662237835567740527270814718925725463, 10^11), V2(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.7046921130066534482600041414890585709013821212606, 10^11), V2(5)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1055.2267908337921786307617355195123093332341255338, omega^2), V1(1))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1959.9062914564655436920860212499538090252187294161, omega^2), V1(3)))), VectorCalculus:-`*`(VectorCalculus:-`*`(2047.7851867675781250000000000000000000000000000000, omega^2), V1(5))):

E17 := VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(3.6004827786984552721859600150194476991414811055197, 10^10), W(0))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.9781847824423219358080619338342989761407203990374, 10^11), V2(1)))), VectorCalculus:-`*`(VectorCalculus:-`*`(5.9722762993987285423665483888817556162282387212450, 10^11), V2(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.0811342250226880053021853608526459273776333972115, 10^12), V2(5)))), VectorCalculus:-`*`(VectorCalculus:-`*`(2.2665101950561447195804856166187258422604042194634, 10^11), W(2))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(5.0261223082938320761218206092817337666989622620092, 10^11), W(4)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(8.7843041320517842057351587174649326412354044181698, 10^10), V1(1)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.6315367543759662237835567740527270814718925725463, 10^11), V1(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1.7046921130066534482600041414890585709013821212606, 10^11), V1(5)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1055.2267908337921786307617355195123093332341255338, omega^2), V2(1))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1959.9062914564655436920860212499538090252187294161, omega^2), V2(3)))), VectorCalculus:-`*`(VectorCalculus:-`*`(2047.7851867675781250000000000000000000000000000000, omega^2), V2(5))):

E18 := VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`+`(VectorCalculus:-`*`(VectorCalculus:-`*`(5.4007241680476829082789400225291715487122216582806, 10^10), V1(0)), VectorCalculus:-`*`(VectorCalculus:-`*`(5.4007241680476829082789400225291715487122216582806, 10^10), V2(0))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.0922794659196454621738794738143334638130489666373, 10^11), W(1)))), VectorCalculus:-`*`(VectorCalculus:-`*`(1.1929514898827735667473357103796145708703426375351, 10^12), W(3))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.8463891254257486220146464851652785318259567235472, 10^12), W(5)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.3168284715873139556329481351343925356696602976947, 10^11), V1(2)))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(2.3168284715873139556329481351343925356696602976947, 10^11), V2(2)))), VectorCalculus:-`*`(VectorCalculus:-`*`(4.8700076253112037420543824992554999016189996046996, 10^11), V1(4))), VectorCalculus:-`*`(VectorCalculus:-`*`(4.8700076253112037420543824992554999016189996046996, 10^11), V2(4))), VectorCalculus:-`*`(VectorCalculus:-`*`(1055.2267908337921786307617355195123093332341255338, omega^2), W(1))), VectorCalculus:-`-`(VectorCalculus:-`*`(VectorCalculus:-`*`(1959.9062914564655436920860212499538090252187294161, omega^2), W(3)))), VectorCalculus:-`*`(VectorCalculus:-`*`(2047.7851867675781250000000000000000000000000000000, omega^2), W(5))):

q := Matrix([[coeff(E1, V1(0)), coeff(E1, V2(0)), coeff(E1, W(0)), coeff(E1, V1(1)), coeff(E1, V2(1)), coeff(E1, W(1)), coeff(E1, V1(2)), coeff(E1, V2(2)), coeff(E1, W(2)), coeff(E1, V1(3)), coeff(E1, V2(3)), coeff(E1, W(3)), coeff(E1, V1(4)), coeff(E1, V2(4)), coeff(E1, W(4)), coeff(E1, V1(5)), coeff(E1, V2(5)), coeff(E1, W(5))], [coeff(E2, V1(0)), coeff(E2, V2(0)), coeff(E2, W(0)), coeff(E2, V1(1)), coeff(E2, V2(1)), coeff(E2, W(1)), coeff(E2, V1(2)), coeff(E2, V2(2)), coeff(E2, W(2)), coeff(E2, V1(3)), coeff(E2, V2(3)), coeff(E2, W(3)), coeff(E2, V1(4)), coeff(E2, V2(4)), coeff(E2, W(4)), coeff(E2, V1(5)), coeff(E2, V2(5)), coeff(E2, W(5))], [coeff(E3, V1(0)), coeff(E3, V2(0)), coeff(E3, W(0)), coeff(E3, V1(1)), coeff(E3, V2(1)), coeff(E3, W(1)), coeff(E3, V1(2)), coeff(E3, V2(2)), coeff(E3, W(2)), coeff(E3, V1(3)), coeff(E3, V2(3)), coeff(E3, W(3)), coeff(E3, V1(4)), coeff(E3, V2(4)), coeff(E3, W(4)), coeff(E3, V1(5)), coeff(E3, V2(5)), coeff(E3, W(5))], [coeff(E4, V1(0)), coeff(E4, V2(0)), coeff(E4, W(0)), coeff(E4, V1(1)), coeff(E4, V2(1)), coeff(E4, W(1)), coeff(E4, V1(2)), coeff(E4, V2(2)), coeff(E4, W(2)), coeff(E4, V1(3)), coeff(E4, V2(3)), coeff(E4, W(3)), coeff(E4, V1(4)), coeff(E4, V2(4)), coeff(E4, W(4)), coeff(E4, V1(5)), coeff(E4, V2(5)), coeff(E4, W(5))], [coeff(E5, V1(0)), coeff(E5, V2(0)), coeff(E5, W(0)), coeff(E5, V1(1)), coeff(E5, V2(1)), coeff(E5, W(1)), coeff(E5, V1(2)), coeff(E5, V2(2)), coeff(E5, W(2)), coeff(E5, V1(3)), coeff(E5, V2(3)), coeff(E5, W(3)), coeff(E5, V1(4)), coeff(E5, V2(4)), coeff(E5, W(4)), coeff(E5, V1(5)), coeff(E5, V2(5)), coeff(E5, W(5))], [coeff(E6, V1(0)), coeff(E6, V2(0)), coeff(E6, W(0)), coeff(E6, V1(1)), coeff(E6, V2(1)), coeff(E6, W(1)), coeff(E6, V1(2)), coeff(E6, V2(2)), coeff(E6, W(2)), coeff(E6, V1(3)), coeff(E6, V2(3)), coeff(E6, W(3)), coeff(E6, V1(4)), coeff(E6, V2(4)), coeff(E6, W(4)), coeff(E6, V1(5)), coeff(E6, V2(5)), coeff(E6, W(5))], [coeff(E7, V1(0)), coeff(E7, V2(0)), coeff(E7, W(0)), coeff(E7, V1(1)), coeff(E7, V2(1)), coeff(E7, W(1)), coeff(E7, V1(2)), coeff(E7, V2(2)), coeff(E7, W(2)), coeff(E7, V1(3)), coeff(E7, V2(3)), coeff(E7, W(3)), coeff(E7, V1(4)), coeff(E7, V2(4)), coeff(E7, W(4)), coeff(E7, V1(5)), coeff(E7, V2(5)), coeff(E7, W(5))], [coeff(E8, V1(0)), coeff(E8, V2(0)), coeff(E8, W(0)), coeff(E8, V1(1)), coeff(E8, V2(1)), coeff(E8, W(1)), coeff(E8, V1(2)), coeff(E8, V2(2)), coeff(E8, W(2)), coeff(E8, V1(3)), coeff(E8, V2(3)), coeff(E8, W(3)), coeff(E8, V1(4)), coeff(E8, V2(4)), coeff(E8, W(4)), coeff(E8, V1(5)), coeff(E8, V2(5)), coeff(E8, W(5))], [coeff(E9, V1(0)), coeff(E9, V2(0)), coeff(E9, W(0)), coeff(E9, V1(1)), coeff(E9, V2(1)), coeff(E9, W(1)), coeff(E9, V1(2)), coeff(E9, V2(2)), coeff(E9, W(2)), coeff(E9, V1(3)), coeff(E9, V2(3)), coeff(E9, W(3)), coeff(E9, V1(4)), coeff(E9, V2(4)), coeff(E9, W(4)), coeff(E9, V1(5)), coeff(E9, V2(5)), coeff(E9, W(5))], [coeff(E10, V1(0)), coeff(E10, V2(0)), coeff(E10, W(0)), coeff(E10, V1(1)), coeff(E10, V2(1)), coeff(E10, W(1)), coeff(E10, V1(2)), coeff(E10, V2(2)), coeff(E10, W(2)), coeff(E10, V1(3)), coeff(E10, V2(3)), coeff(E10, W(3)), coeff(E10, V1(4)), coeff(E10, V2(4)), coeff(E10, W(4)), coeff(E10, V1(5)), coeff(E10, V2(5)), coeff(E10, W(5))], [coeff(E11, V1(0)), coeff(E11, V2(0)), coeff(E11, W(0)), coeff(E11, V1(1)), coeff(E11, V2(1)), coeff(E11, W(1)), coeff(E11, V1(2)), coeff(E11, V2(2)), coeff(E11, W(2)), coeff(E11, V1(3)), coeff(E11, V2(3)), coeff(E11, W(3)), coeff(E11, V1(4)), coeff(E11, V2(4)), coeff(E11, W(4)), coeff(E11, V1(5)), coeff(E11, V2(5)), coeff(E11, W(5))], [coeff(E12, V1(0)), coeff(E12, V2(0)), coeff(E12, W(0)), coeff(E12, V1(1)), coeff(E12, V2(1)), coeff(E12, W(1)), coeff(E12, V1(2)), coeff(E12, V2(2)), coeff(E12, W(2)), coeff(E12, V1(3)), coeff(E12, V2(3)), coeff(E12, W(3)), coeff(E12, V1(4)), coeff(E12, V2(4)), coeff(E12, W(4)), coeff(E12, V1(5)), coeff(E12, V2(5)), coeff(E12, W(5))], [coeff(E13, V1(0)), coeff(E13, V2(0)), coeff(E13, W(0)), coeff(E13, V1(1)), coeff(E13, V2(1)), coeff(E13, W(1)), coeff(E13, V1(2)), coeff(E13, V2(2)), coeff(E13, W(2)), coeff(E13, V1(3)), coeff(E13, V2(3)), coeff(E13, W(3)), coeff(E13, V1(4)), coeff(E13, V2(4)), coeff(E13, W(4)), coeff(E13, V1(5)), coeff(E13, V2(5)), coeff(E13, W(5))], [coeff(E14, V1(0)), coeff(E14, V2(0)), coeff(E14, W(0)), coeff(E14, V1(1)), coeff(E14, V2(1)), coeff(E14, W(1)), coeff(E14, V1(2)), coeff(E14, V2(2)), coeff(E14, W(2)), coeff(E14, V1(3)), coeff(E14, V2(3)), coeff(E14, W(3)), coeff(E14, V1(4)), coeff(E14, V2(4)), coeff(E14, W(4)), coeff(E14, V1(5)), coeff(E14, V2(5)), coeff(E14, W(5))], [coeff(E15, V1(0)), coeff(E15, V2(0)), coeff(E15, W(0)), coeff(E15, V1(1)), coeff(E15, V2(1)), coeff(E15, W(1)), coeff(E15, V1(2)), coeff(E15, V2(2)), coeff(E15, W(2)), coeff(E15, V1(3)), coeff(E15, V2(3)), coeff(E15, W(3)), coeff(E15, V1(4)), coeff(E15, V2(4)), coeff(E15, W(4)), coeff(E15, V1(5)), coeff(E15, V2(5)), coeff(E15, W(5))], [coeff(E16, V1(0)), coeff(E16, V2(0)), coeff(E16, W(0)), coeff(E16, V1(1)), coeff(E16, V2(1)), coeff(E16, W(1)), coeff(E16, V1(2)), coeff(E16, V2(2)), coeff(E16, W(2)), coeff(E16, V1(3)), coeff(E16, V2(3)), coeff(E16, W(3)), coeff(E16, V1(4)), coeff(E16, V2(4)), coeff(E16, W(4)), coeff(E16, V1(5)), coeff(E16, V2(5)), coeff(E16, W(5))], [coeff(E17, V1(0)), coeff(E17, V2(0)), coeff(E17, W(0)), coeff(E17, V1(1)), coeff(E17, V2(1)), coeff(E17, W(1)), coeff(E17, V1(2)), coeff(E17, V2(2)), coeff(E17, W(2)), coeff(E17, V1(3)), coeff(E17, V2(3)), coeff(E17, W(3)), coeff(E17, V1(4)), coeff(E17, V2(4)), coeff(E17, W(4)), coeff(E17, V1(5)), coeff(E17, V2(5)), coeff(E17, W(5))], [coeff(E18, V1(0)), coeff(E18, V2(0)), coeff(E18, W(0)), coeff(E18, V1(1)), coeff(E18, V2(1)), coeff(E18, W(1)), coeff(E18, V1(2)), coeff(E18, V2(2)), coeff(E18, W(2)), coeff(E18, V1(3)), coeff(E18, V2(3)), coeff(E18, W(3)), coeff(E18, V1(4)), coeff(E18, V2(4)), coeff(E18, W(4)), coeff(E18, V1(5)), coeff(E18, V2(5)), coeff(E18, W(5))]]); RR := subs(omega = evalf(Omega*sqrt(E_c/rho_c)/h), q); Y := Determinant(RR); with(LinearAlgebra); Sol := [fsolve(Y, Omega)]; J := min(select(`>`, Sol, 0))

Error, selecting function must return true or false

 

``


 

Download ZrO2.mw

 

 

hi... I have a problem with dsolve.

"unable to convert to an explicit first-order system"

please help me

thanks

unable_to_convert_to_an_explicit_first-order_system.mw
 

sys3 := {-3.94190107376326*10^(-23)*(diff(g3(y), y, y, y, y, y, y))+1.07838202775510*10^(-20)*(diff(g3(y), y, y, y, y))-3.40658117485714*10^(-9)*(diff(g1(y), y, y, y, y, y))-4.01448960000000*10^(-7)*(diff(g1(y), y, y, y))-4.56192000000000*10^(-19)*(diff(g3(y), y, y)), -4032000*(diff(g5(y), y, y))+(9/1000000)*g3(y)-(237/500000000)*g5(y)*omega2-(237/4000000000)*g4(y)*omega2+(237/40000000000)*(diff(g1(y), y))*omega2-(237/20000000000)*(diff(g2(y), y))*omega2, -1.51200000000000*10^10*(diff(g4(y), y, y))-0.900000000000000e-5*g3(y)-4.74000000000000*10^(-7)*g4(y)*omega2-5.92500000000000*10^(-8)*g5(y)*omega2+1.18500000000000*10^(-8)*(diff(g1(y), y))*omega2-5.92500000000000*10^(-9)*(diff(g2(y), y))*omega2-1.15287906461538*10^8*(diff(g1(y), y, y, y, y, y)), 1.62147762523876*10^11*(diff(g1(y), y, y, y, y))+0.252000000000000e-5*(diff(g3(y), y))+5.6000000*10^7*g2(y)-5.6000000*10^7*g1(y)+4.74000000000000*10^(-7)*g1(y)*omega2+5.92500000000000*10^(-9)*(diff(g5(y), y))*omega2+5.92500000000000*10^(-10)*(diff(g2(y), y, y))*omega2+1.18500000000000*10^(-8)*(diff(g4(y), y))*omega2-1.18500000000000*10^(-9)*(diff(g1(y), y, y))*omega2+5.92500000000000*10^(-8)*g2(y)*omega2+3.40658117485714*10^(-9)*(diff(g3(y), y, y, y, y, y))-7.16872433152730*10^(-7)*(diff(g3(y), y, y, y))-1.09035520000000*10^7*(diff(g1(y), y, y))+1.09035520000000*10^7*(diff(g2(y), y, y)), 1.39966033920000*10^6*(diff(g2(y), y, y, y, y))+0.252000000000000e-5*(diff(g3(y), y))-5.6000000*10^7*g2(y)+5.6000000*10^7*g1(y)+4.74000000000000*10^(-7)*g2(y)*omega2-1.18500000000000*10^(-8)*(diff(g5(y), y))*omega2+5.92500000000000*10^(-10)*(diff(g1(y), y, y))*omega2-5.92500000000000*10^(-9)*(diff(g4(y), y))*omega2-1.18500000000000*10^(-9)*(diff(g2(y), y, y))*omega2+5.92500000000000*10^(-8)*g1(y)*omega2+5.29912627200000*10^5*(diff(g1(y), y, y, y, y))+3.40658117485714*10^(-9)*(diff(g3(y), y, y, y, y, y))-4.01448960000000*10^(-7)*(diff(g3(y), y, y, y))+1.09035520000000*10^7*(diff(g1(y), y, y))-1.09035520000000*10^7*(diff(g2(y), y, y))}:

bcs3 := {-(63/25000)*(D(g5))(0) = 0, -(63/25000)*(D(g5))(1) = 0, -(189/20)*(D(g4))(0)+1.12585846153846*10^(-15)*((D@@5)(g1))(0) = 0, -(189/20)*(D(g4))(1)+1.12585846153846*10^(-15)*((D@@5)(g1))(1) = 0, 9.62378191836733*10^(-51)*((D@@3)(g3))(0)-1.51215428571429*10^(-39)*(D(g3))(0)+3.32673942857143*10^(-32)*((D@@2)(g1))(0) = 0, 9.62378191836733*10^(-51)*((D@@3)(g3))(1)-1.51215428571429*10^(-39)*(D(g3))(1)+3.32673942857143*10^(-32)*((D@@2)(g1))(1) = 0, -9.62378191836733*10^(-51)*((D@@4)(g3))(0)+2.70027551020408*10^(-39)*((D@@2)(g3))(0)-3.32673942857143*10^(-32)*((D@@3)(g1))(0) = 0, -9.62378191836733*10^(-51)*((D@@4)(g3))(1)+2.70027551020408*10^(-39)*((D@@2)(g3))(1)-3.32673942857143*10^(-32)*((D@@3)(g1))(1) = 0, 6.33389697358892*10^(-8)*((D@@2)(g1))(0)+3.32673942857143*10^(-32)*((D@@3)(g3))(0)-6.27264000000000*10^(-21)*(D(g3))(0) = 0, 6.33389697358892*10^(-8)*((D@@2)(g1))(1)+3.32673942857143*10^(-32)*((D@@3)(g3))(1)-6.27264000000000*10^(-21)*(D(g3))(1) = 0, 5.46742320000000*10^(-13)*((D@@2)(g2))(0)+2.06997120000000*10^(-13)*((D@@2)(g1))(0)+3.32673942857143*10^(-32)*((D@@3)(g3))(0)-6.27264000000000*10^(-21)*(D(g3))(0) = 0, 5.46742320000000*10^(-13)*((D@@2)(g2))(1)+2.06997120000000*10^(-13)*((D@@2)(g1))(1)+3.32673942857143*10^(-32)*((D@@3)(g3))(1)-6.27264000000000*10^(-21)*(D(g3))(1) = 0, 9.62378191836733*10^(-51)*((D@@6)(g3))(0)-4.21242979591837*10^(-39)*((D@@4)(g3))(0)+3.32673942857143*10^(-32)*((D@@5)(g1))(0)+6.27264000000000*10^(-21)*((D@@3)(g1))(0)+2.85120000000000*10^(-28)*((D@@2)(g3))(0) = 0, 9.62378191836733*10^(-51)*((D@@6)(g3))(1)-4.21242979591837*10^(-39)*((D@@4)(g3))(1)+3.32673942857143*10^(-32)*((D@@5)(g1))(1)+6.27264000000000*10^(-21)*((D@@3)(g1))(1)+2.85120000000000*10^(-28)*((D@@2)(g3))(1) = 0, g1(0) = 0, g1(1) = 0, g2(0) = 0, g2(1) = 0}:

dsys4 := {bcs3, sys3}:

Typesetting:-mrow(Typesetting:-mi(""), Typesetting:-mrow(Typesetting:-mo("for", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mi("bb", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("in", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mi("extra_bcs", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("do", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(":", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mspace(height = "0.0ex", width = "0.0em", depth = "0.0ex", linebreak = "newline"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("try", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(":", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mspace(height = "0.0ex", width = "0.0em", depth = "0.0ex", linebreak = "newline"), Typesetting:-mspace(height = "0.0ex", width = "0.0em", depth = "0.0ex", linebreak = "auto"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mi("print", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("bb", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo("=", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-msup(Typesetting:-mn("10", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mo("&uminus0;", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2222222em", rspace = "0.2222222em"), Typesetting:-mn("13", font_style_name = "2D Input", mathvariant = "normal")), superscriptshift = "0")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(":", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mspace(height = "0.0ex", width = "0.0em", depth = "0.0ex", linebreak = "newline"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mi("res", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("bb", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal", open = "[", close = "]"), Typesetting:-mo("&coloneq;", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mi("dsolve", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("newsys2", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("union", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("bb", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo("=", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-msup(Typesetting:-mn("10", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mo("&uminus0;", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2222222em", rspace = "0.2222222em"), Typesetting:-mn("13", font_style_name = "2D Input", mathvariant = "normal")), superscriptshift = "0")), font_style_name = "2D Input", mathvariant = "normal", open = "{", close = "}"), Typesetting:-mo("union", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mi("bcs3", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mi("numeric", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mi("method", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo("=", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mi("bvp", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("middefer", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal", open = "[", close = "]"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mi("output", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo("=", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mi("listprocedure", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mi("initmesh", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("=", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mn("3024", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mi("approxsoln", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("=", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("omega3", italic = "false", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("=", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mn("0.0000000001", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mi("g1", italic = "false", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("y", italic = "false", font_style_name = "2D Input", mathvariant = "normal")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("=", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-msup(Typesetting:-mi("y", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mrow(Typesetting:-mn("3", font_style_name = "2D Input", mathvariant = "normal")), superscriptshift = "0"), Typesetting:-mo("&sdot;", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-msup(Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mn("1", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo("&minus;", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2222222em", rspace = "0.2222222em"), Typesetting:-mi("y", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mn("3", font_style_name = "2D Input", mathvariant = "normal")), superscriptshift = "0"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mi("g2", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("y", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("=", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-msup(Typesetting:-mi("y", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mrow(Typesetting:-mn("3", font_style_name = "2D Input", mathvariant = "normal")), superscriptshift = "0"), Typesetting:-mo("&sdot;", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-msup(Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mn("1", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo("&minus;", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2222222em", rspace = "0.2222222em"), Typesetting:-mi("y", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mn("3", font_style_name = "2D Input", mathvariant = "normal")), superscriptshift = "0"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mi("g4", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("y", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("=", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-msup(Typesetting:-mi("y", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mrow(Typesetting:-mi("")), superscriptshift = "0"), Typesetting:-mo("&sdot;", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-msup(Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mn("1", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo("&minus;", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2222222em", rspace = "0.2222222em"), Typesetting:-mi("y", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mi("")), superscriptshift = "0"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mi("g3", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("y", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("=", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-msup(Typesetting:-mi("y", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mrow(Typesetting:-mi("")), superscriptshift = "0"), Typesetting:-mo("&sdot;", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-msup(Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mn("1", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo("&minus;", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2222222em", rspace = "0.2222222em"), Typesetting:-mi("y", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mn("5", font_style_name = "2D Input", mathvariant = "normal")), superscriptshift = "0"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mi("g5", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("y", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo("=", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mrow(Typesetting:-msup(Typesetting:-mi("y", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mrow(Typesetting:-mi("")), superscriptshift = "0"), Typesetting:-mo("&sdot;", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-msup(Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mn("1", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo("&minus;", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2222222em", rspace = "0.2222222em"), Typesetting:-mi("y", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mrow(Typesetting:-mi("")), superscriptshift = "0")), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em")), font_style_name = "2D Input", mathvariant = "normal", open = "[", close = "]"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mi("abserr", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo("=", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mn("1e−9", font_style_name = "2D Input", mathvariant = "normal")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(":", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mspace(height = "0.0ex", width = "0.0em", depth = "0.0ex", linebreak = "newline"), Typesetting:-mspace(height = "0.0ex", width = "0.0em", depth = "0.0ex", linebreak = "auto"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("catch", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(":", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mspace(height = "0.0ex", width = "0.0em", depth = "0.0ex", linebreak = "newline"), Typesetting:-mspace(height = "0.0ex", width = "0.0em", depth = "0.0ex", linebreak = "auto"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mi("print", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("lasterror", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(":", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mspace(height = "0.0ex", width = "0.0em", depth = "0.0ex", linebreak = "newline"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("end", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("try", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(":", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mspace(height = "0.0ex", width = "0.0em", depth = "0.0ex", linebreak = "newline"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("end", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("do", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(":", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mi("indx", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("&coloneq;", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mi("indices", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("res", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mi("nolist", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(":", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mspace(height = "0.0ex", width = "0.0em", depth = "0.0ex", linebreak = "newline"), Typesetting:-mspace(height = "0.0ex", width = "0.0em", depth = "0.0ex", linebreak = "auto"), Typesetting:-mi("nops", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("indx", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal", open = "[", close = "]")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(":", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mspace(height = "0.0ex", width = "0.0em", depth = "0.0ex", linebreak = "newline"), Typesetting:-mspace(height = "0.0ex", width = "0.0em", depth = "0.0ex", linebreak = "auto"), Typesetting:-mi("res", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("indx", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mn("1", font_style_name = "2D Input", mathvariant = "normal")), font_style_name = "2D Input", mathvariant = "normal", open = "[", close = "]")), font_style_name = "2D Input", mathvariant = "normal", open = "[", close = "]"), Typesetting:-mo(":", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mspace(height = "0.0ex", width = "0.0em", depth = "0.0ex", linebreak = "newline"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mi("P", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo("&coloneq;", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mi("seq", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("subs", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("res", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("indx", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("i", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal", open = "[", close = "]")), font_style_name = "2D Input", mathvariant = "normal", open = "[", close = "]"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mn("0", font_style_name = "2D Input", mathvariant = "normal")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mi("omega3", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mn("0", font_style_name = "2D Input", mathvariant = "normal")), font_style_name = "2D Input", mathvariant = "normal")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mi("i", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo("=", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mn("1", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo("..", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2222222em", rspace = "0.0em"), Typesetting:-mi("nops", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("indx", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal", open = "[", close = "]")), font_style_name = "2D Input", mathvariant = "normal")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(":", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mo("for", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mi("i", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("from", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mn("1", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("by", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mn("1", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("to", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mi("nops", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("indx", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal", open = "[", close = "]")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("do", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mfrac(Typesetting:-mrow(Typesetting:-mi("sqrt", italic = "false", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mn("10", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo("^", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.1111111em", rspace = "0.1111111em"), Typesetting:-mn("15", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo("*", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.1666667em", rspace = "0.1666667em"), Typesetting:-mi("P", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("i", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal", open = "[", close = "]")), font_style_name = "2D Input", mathvariant = "normal")), Typesetting:-mrow(Typesetting:-mn("2", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo("&sdot;", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mi("Pi", italic = "false", font_style_name = "2D Input", mathvariant = "normal")), linethickness = "1", denomalign = "center", numalign = "center", bevelled = "false"), Typesetting:-mo(" ", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo("od", bold = "true", font_style_name = "2D Input", mathvariant = "bold", fontweight = "bold", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mo(";", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.2777778em"), Typesetting:-mi("plots", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo(":-", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.0em"), Typesetting:-mi("odeplot", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("res", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("indx", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mn("1", font_style_name = "2D Input", mathvariant = "normal")), font_style_name = "2D Input", mathvariant = "normal", open = "[", close = "]")), font_style_name = "2D Input", mathvariant = "normal", open = "[", close = "]"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi(""), Typesetting:-mrow(Typesetting:-mi("seq", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("y", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mi("cat", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("g", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mi("i", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mfenced(Typesetting:-mrow(Typesetting:-mi("y", italic = "true", font_style_name = "2D Input", mathvariant = "italic")), font_style_name = "2D Input", mathvariant = "normal")), font_style_name = "2D Input", mathvariant = "normal", open = "[", close = "]"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mi("i", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo("=", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mn("1", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo("..", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2222222em", rspace = "0.0em"), Typesetting:-mn("5", font_style_name = "2D Input", mathvariant = "normal")), font_style_name = "2D Input", mathvariant = "normal")), Typesetting:-mi("")), font_style_name = "2D Input", mathvariant = "normal", open = "[", close = "]"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mn("0", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo("..", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2222222em", rspace = "0.0em"), Typesetting:-mn("1", font_style_name = "2D Input", mathvariant = "normal"), Typesetting:-mo(",", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "true", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.0em", rspace = "0.3333333em"), Typesetting:-mi("thickness", italic = "true", font_style_name = "2D Input", mathvariant = "italic"), Typesetting:-mo("=", font_style_name = "2D Input", mathvariant = "normal", fence = "false", separator = "false", stretchy = "false", symmetric = "false", largeop = "false", movablelimits = "false", accent = "false", lspace = "0.2777778em", rspace = "0.2777778em"), Typesetting:-mn("3", font_style_name = "2D Input", mathvariant = "normal")), font_style_name = "2D Input", mathvariant = "normal")), Typesetting:-mi(""))

Error, (in plots/odeplot) input is not a valid dsolve/numeric solution

 

``


 

Download unable_to_convert_to_an_explicit_first-order_system.mw

 

I'm trying project a plane onto a surface. Is there a direct command to do this?. There is a command to project a surface onto a plane but i need the oposite. Thanks!

The following integral is obviously positive, but Maple returns 0:  (Maple 2017)

assume(gamma1>0, gamma2>0 , mu1, 'real', mu2, 'real')'
int( 1/sqrt( Pi^2 * gamma1 * gamma2 * (1+((x-mu1)/gamma1)^2) * (1+((x-mu2)/gamma2)^2) ), x=-infinity..infinity )
                               0

(This is the Bhattacharyya coefficient between two cauchy distributions). Numerical integration works.

 

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