MaplePrimes Questions

Hello,I want to plot Q versus B,but i have a little problem.thanks for your helping.

Dear all,

 

I know the solve command is somehow limited, and it cannot find the solution for all equations.

But I have two equations which must be solved and I am desperately looking for solutions!

 

My equations are listed below:

f1:= (1/2)*x + (2*alpha*beta*(x^2+3*y^2)^beta*x^2/(x^2+3*y^2) ) -(3/2)*y - (1/2)*alpha*(x^2+3*y^2)^beta = kappa*rho*c0^2

f2:=-(1/2)*y+ (2*alpha*beta*(x^2+3*y^2)^beta*y^2/(x^2+3*y^2) ) -(1/2)*x - (1/2)*alpha*(x^2+3*y^2)^beta = 0

I need to find x and y in terms of alpha and beta.

The other parameters are known.

But of course, maple gives me the warning: "Warning, solutions may have been lost".

Does anybody have any suggestion?

 

When I try to use my procedure I recieve this error:
invalid left hand side in assignment
This is my code:






Error, (in approx) invalid left hand side in assignment


Someone can help me!

I am quite a new user of Maple 2016.

I intend to plot complex numbers as vectors (Phasors), with diferent relationsships between them. I would like to use parameters and modify them e.g with a slider. I can't find how to do it. 

 

For example:

V1=1*cos(delta)+j*sin(delta)

Ve=0.5*cos(alfa)+0.5*j*sin(alfa)

V2=Ve+V1

V2=1+j0

V12=V1-V2

I=V12/(Zcos(beta)+jZsin(beta))

I would like to be able to see those vectors, employing alfa and beta as parameters (e.g between -pi and pi)

 

Any ideas on how to plot that? Maybe Maple is not the right tool to do it. Is there any specific to plot interactive phasors?

Thanks

Hello Mapleprime users

I am having an issue with a numerical integration calculation. I have a large(ish) polynomial integrand and need to apply two integrations which I am using the _cuhre method for. See attached the minimum working example file.

Numerical_integration_HF.mw

Firstly some simplifications are done to the integrand and then a basic for loop which calculates the integration for r from 0 to 20 in steps of 0.1. The issue occurs when the loop hits r~2.5 (on my machine, Maple 2015, i5, 16GB ram). Up to that point the calculation is steady with the following stats per point calculated:

memory used=87.59MiB, alloc change=0 bytes, cpu time=3.45s, real time=3.15s, gc time=439.16ms


Then when the calculation gets to ~2.5 it just hangs and will not calculate past it. Any ideas as to what is going on here?

Any help would be appreciated with this issue.

Thank you in advance

Yeti

 

 

As far as I can tell from the help pages, Maple 17, which I am using, can perform only one-dimensional Fourier transformations. Has that changed in latter versions?

I ask because I would like to find the 4D Fourier transformation of Heaviside(t^2 - x^2 - y^2 - z^2), the argument being the Minkowski line element. I have made quite some attempts with pen and paper, but the results are not stable. One calculational strategy of mine seems to depend on the order of integration: alongside some other part, a 4D Dirac delta function either appears or not. Another strategy produces an altogther differently looking expression.

It would therefore be nice to have some computational guidance.

Sometimes my code works and sometimes I have this kind of error: 

I am using one argument for cosine and the following operations:

 

Thanks !

 

 

 

 

 

Hello,i cant solve this expression in maple,What is the integral result?

Thanks.

Hello

 

I am having issue in finding the explanation on how to solve inverse trig funtion and expression with inverse trig funtions. I do not understand my school book and I was hoping that the software would have given me an extra help in understanding my school problems. 

 

Thank you very much

Regards,

Perla D'andrea

Hello everyone,

I have a problem with my  code, breif this is the equation that I want to solve 

x^2*(diff(y(x), x, x))+50*x*(diff(y(x), x))-35*y(x) = (1-exp(x+1))/(x+1)+(x^2+50*x-35)*exp(x)+int(exp(xt)*y(t), t = 0 .. 1), x = 0 .. 1

but the problem is that I don't know how to code the integral please guys help me 

Hello people in mapleprime,

Though I wrote the title as Fundamental theorem of calculus,

what I am considering is just how to continue the chain of codes in calculation.

restart;

#I defined F__0 as

F__0:=x->Int(f(t),t=a..x);

#Then, the difference between a primitive function of f(x), F(x), and F__0 is no more than a constant C, so I write.

bb:=F(x)-F__0(x)=C;

#Then, substituting "a" into equation "bb", I obtain the value of F(a)

bb1:=subs(x=a,bb):cc:=simplify(%);

#Then, I substituted the value of C in "bb1" into "bb,"  obtaining the following "cc1."

cc1:=subs(isolate(cc,C),bb);

#And, then, I isolated the term of Int(f(t),t=a..x)  in cc1,

dd:=isolate(cc1,Int(f(t), t = a .. x));

#And, then, I substitute x=b into the outcome of dd, and obtain the final equation.

subs(x=b,dd);

 

Surely, with the above code, I could get the fundamental theorem. But, it looks in a little roundabout way.

So, I thought I would ask here about whether there aren't any better ways to do the fundamentally the same thing or

hints to improve the above code.

Please teach me about this.

 

Thanks in advance.

 

taro

Hi

I need to solve below integro-differential equation

0.3846153846*(diff(F(x, y), y, y))+diff(F(x, y), x)-(diff(w(x), x, x))*y-(1/2)*(int(diff(F(x, y), x), y = -1 .. 1))+diff(F(x, y), x, x)-(diff(w(x), x, x, x))*y-(1/2)*(int(diff(F(x, y), x, x), y = -1 .. 1))

The solution is as follows:

(diff(w(x), x))*y-_C1*y/exp(x)-(1923076923/5000000000)*_c[2]*x*y+_C2*y+(1/6)*_c[2]*y^3+_C4*y+_F1(x)

 

The parameters _C1, _C2, c[2], C4 are functions of x, or functions of y? Or these parameters are constant numbers? 

In addition to, is it reasonable to use C *y instead of _C2*y+_C4*y ?

 

Thank you

n := 5:
z1 := exp(2*3.14*I*k1/n)*cosh(z)^(2/n);
z2 := exp(2*3.14*I*k2/n)*sinh(z)^(2/n);
xx := Re(z1);
yy := Re(z2);
uu := cos(alpha)*Im(z1) + sin(alpha)*Im(z2);

use above example of calabi yau equation, do not know which variables z, k1, k2 are u and v, then i assume k1 and k2 are u and v respectively,

 

E := diff(xx,k1).diff(xx,k1);
F := diff(xx,k1).diff(xx,k2);
G := diff(xx,k2).diff(xx,k2);

then calculate metric
diff(E, k2);
F
diff(G, k1);

which function can input these metric diff(E,k2), F, diff(G,k1) to prove calabi yau equation's metric's ricci is flat

Round := proc(x,n::integer:=1)
parse(sprintf(cat("%.",n,"f"),x));
end proc:

roundcoeffs1:=proc(p,x,n:=1) local t,c;
c:=map(Round, [coeffs(p,x,t)],n);
add(i, i = zip(`*`, c, [t]));
end:

ggg:=.9940413618*y^3-1.785839107*c*A*y^3-2.357517322*c*A*y^2+.375393240*c*y*B-.3575173222*c*A*y-.2082022533*c*B-0.1787591445e-1*y^2-0.1787591445e-1*y-0.5958638151e-2+.2141608926*c*A+.7917977467*c*B*y^3+2.375393240*c*B*y^2;

roundcoeffs1(ggg, [y^3, c*A*y^3, c*A*y^2, c*y*B, c*A*y, c*B, y^2, y, c*A, c*B*y^3, c*B*y^2], 4);


Error, (in sprintf) number expected for floating point format

 

hi.please help me for gain result with out root of form....

thanks

root_of.mw

digite := 20; -1; L := 20*R; -1; varepsilon := solve(tan(sigma*L/(2*R))+tanh(sigma*L/(2*R)), sigma)

(1/10)*RootOf(tan(_Z)+tanh(_Z))

(1)

``


Download root_of.mw

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