Hello,

i did see that u can calculate minimial polynomials for for example \sqrt(2) or smth.

Suppose now u have a ground field K and an extension L=K(p,q) where p,q are some given rational functions in the indeterminates x,y, now i would like to calculate the minimal polynomial for lets say x+y or x over L which then obviously splits over the field K(x,y).

Thx in advance

(in dsolve/numeric/bvp) initial Newton iteration is not converging.

Dear Maple users

I am unsure how to handle events and their probabilities in Maple. Let's say I know that an event A has the probability say 0.3 and another event B has probability 0.8. I would like to make the following assignments:

P(A):=0.3:

P(B):=0.8

and maybe defining the conditional probability:

P(A|B):=0.55

but I am not allowed to do so in Maple because if will regarded as a function definition. My purpose is to make simple calculations with those probabilities for example:

P(C):=P(A)*P(B)  etc.

My problem is therefore more of a notational problem than a mathematical one. I hope someone can advice me on a proper setup. I am using 2D math notation, by the way. I could of course name the variables containing the probability using simple names like X1, X2, etc., but then I need constantly to remember what they really mean. The above assignments would be much better, because they are easier to handle mentally.

Regards,Erik

Trying a few integrals in Maple -- doesn't seem to handle them very well. Any workarounds please?

f1(p,b):= 1/(p^2 + b^2)^2 ;

f2(p,b):= exp(-p/b)^2;

T1pbm := Int(q*f1(q, b)*ln((p+q)^2+m^2), q = 0 .. infinity);

T2pbm := Int(q*f1(q, b)*ln((p-q)^2+m^2), q = 0 .. infinity);

with(IntegrationTools):

PT1 := evalf(Parts(T1pbm, q*f1(q, b), ln((p+q)^2+m^2)));

PT2 := evalf(Parts(T2pbm, q*f1(q, b), ln((p-q)^2+m^2)));

Ev := evalf(-pi*c*Int*(p*f1(p, b)*(PT1-PT2), p = 0 .. infinity))

The following toy procedure does not work (I give a value to a symbol). How to make it work ? Thanks.

Hi .please help me for solve this nonlinear equations , that attch below

thanks a lots.....

dsys3 := {8*(diff(f2(x), x, x, x, x))+9*(diff(f2(x), x, x))+10*f2(x)+11*(diff(f1(x), x, x, x))+12*(diff(f1(x), x))+13*(diff(f3(x), x, x))+14*f3(x)+f3(x)*f3(x)+(diff(f3(x), x))*(diff(f3(x), x))+(diff(f3(x), x, x))*f3(x) = 0, 16*(diff(f3(x), x, x, x, x))+18*(diff(f3(x), x, x))+19*(diff(f3(x), x, x))+22*(diff(f1(x), x))+23*(diff(f1(x), x))+24*(diff(f2(x), x, x))+25*f2(x)+26*f2(x)+27*f3(x)+29*f3(x) = 0, 2*(diff(f1(x), x, x))+3*(diff(f2(x), x, x, x))+4*(diff(f2(x), x))+6*(diff(f3(x), x))+7*f1(x)+(diff(f3(x), x, x))*(diff(f3(x), x))+(diff(f3(x), x))*f3(x)+(diff(f3(x), x))*f3(x) = 0, f1(0) = 0, f1(1) = 0, f2(0) = 0, f2(1) = 0, f3(0) = 0, f3(1) = 0, ((D@@1)(f2))(0) = 0, ((D@@1)(f2))(1) = 0, ((D@@1)(f3))(0) = 0, ((D@@1)(f3))(1) = 0}; dsol5 := dsolve(dsys3, 'maxmesh' = 500, abserr = .1, numeric, range = 0 .. 1, output = listprocedure)12.mw

I have calculated coefficients in maple using a "for...end do" command. For example,

for n from 0 to 1 do A[n] = int(((2*n+1)*(1/2))*simplify(LegendreP(n, cos(theta)))*sin(theta), theta = 0 .. (1/2)*Pi) end do;


A[0] = 1/2

A[1] = 3/4

Here, I can calculate as many coefficients as I want. But, how do I use these coefficients in the following line? For example, I need to calculate a summation. But for each term in the summation, I want to input the coefficients above to the corresponding term in the sum. So. the following summation

 A[0]+A[1]*r*cos(theta)+...

will automaticlly attach the numerical values of the coefficients calculated above to the corresponding term in the sum.

I hope this makes sense.

I know the Wronskian command. I want to use this command for detecting linearly dependence or independence of some polynomials. I know that the polynomials  are  linearly independent if the Wronskian is not zero.  Conversely, if the Wronskian vanishes  then the polynomials are linearly dependent. Now I want to know that how can I find the coefficient vector if the polynomials are dependent by Wronskian command?

For example if [f1,f2,f3] be a list of polynomials s.t. a1f1+a2f2+a3f3=0. How can I find a1, a2, a3? 

Last month, we received a very kind note from a recipient of one of our sponsorships. Maplesoft sponsors several academic and commercial events throughout the year, providing free copies of Maple or MapleSim to lucky attendees. Audrey was one of the winners of the Elgin Community College Calculus Contest, where she won a copy of Maple. Here’s what she had to say:

Thank you so much for the Maple license.  I have become familiar with Maple during the last school year.  At first the commands were like Chinese to me and I had a rough time getting anything done, but once I made a connection between the commands and what they were doing it was a lot easier.  Even without former knowledge of computer programing, the commands are increasingly intuitive.  Maple has been a huge help to me doing my homework and projects, and even as I was studying for the competition it was useful for checking my answers.  Another reason that I love Maple is that it provides visuals for the difficult concepts we learned in class, such as shell method in Calc II and mixed partial derivatives in Calc III.  I enjoy math, but I thank that Maple has enriched my experience along the way.

Thank you again for your generous gift, 

~Audrey~

It’s always nice to hear how students and professionals alike are succeeding with the help of Maple. If you’d like to share your experience, please send an email to customerservice@maplesoft.com or post it here on MaplePrimes.

hi,

how can I convert the decimal representation of the symbolic expressions: I dont want the result in terms of symbols like e^5 or ln(3) 

thanks

Hi,

I have a system of nonlinear equations in conjuction with boundary conditions, as below:

(all coefficients are constant.)

dsys3 := {a2*(diff(f1(x), x, x))+a3*(diff(f2(x), x, x, x))+a4*(diff(f2(x), x))+a6*(diff(f3(x), x))+a7*f1(x)+a1N*(diff(f3(x), x, x))*(diff(f3(x), x))+a2N*(diff(f3(x), x))*f3(x)+a3N*(diff(f3(x), x))*f3(x) = 0, a8*(diff(f2(x), x, x, x, x))+a9*(diff(f2(x), x, x))+a10*f2(x)+a11*(diff(f1(x), x, x, x))+a12*(diff(f1(x), x))+a13*(diff(f3(x), x, x))+a14*f3(x)+a4N*(f3(x)*f3(x))+a5N*((diff(f3(x), x))*(diff(f3(x), x)))+a6N*(diff(f3(x), x, x))*f3(x) = 0, (diff(f3(x), x, x, x, x))*a16+(diff(f3(x), x, x))*a18+(diff(f3(x), x, x))*a19+(diff(f1(x), x))*a22+(diff(f1(x), x))*a23+(diff(f2(x), x, x))*a24+f2(x)*a25+f2(x)*a26+f3(x)*a27+f3(x)*a29 = 0, f1(0) = 0, f1(1) = 0, f2(0) = 0, f2(1) = 0, f3(0) = 0, f3(1) = 0, ((D@@1)(f2))(0) = 0, ((D@@1)(f2))(1) = 0, ((D@@1)(f3))(0) = 0, ((D@@1)(f3))(1) = 0}:
dsol5 := dsolve(dsys3, 'maxmesh' = 500, abserr = .1, numeric, range = 0 .. 1, output = listprocedure)

but i encounter an error as:

Error, (in dsolve/numeric/bvp/convertsys) unable to convert to an explicit first-order system

what is your suggestion to solve this nonlinear equations?

Thank you.

Hi everyone,

I have a great problem with the evaluation of following definite integral

> restart;

> int((t-x)^2)/(1+2t+(1/2)t^2-ln(t^2+2t+2)t-ln(t^2+2t+2)+arctan(1+t)t^2+2arctan(1+t)t+ln(2)t+ln(2)-(pi/4)t^2-(pi/2)t)^2,t=0..x)

I have tried different classical commands but Maple doesn't give an answer. Probably, it's just a silly fault.

Does anyone knows how to solve it?

Thanks.

Is it possible to make scatter-histogram plots in Maple13 like these

http://stackoverflow.com/questions/6508769/matplotlib-scatter-hist-with-stepfilled-histtype-in-histogram ?

I achieved the scatter-plot, but what about the additional histograms?

Hello everyone,

How can unknown values in boundary conditions of system ODEs be determine by using shooting technique. See the work sheet here Sht.mw

Thanks.

I have a set of equations ics_i and a set of variables v_i . How do i assign each solution to the variable before solving the next equation?

I tried- for i from 1 to 3 do solved_i := solve(ics_i, v_i);assign(solved_i); end. This didn't work for me.