I am trying to simplify the eigenvalues of a 2x2 matrix [[a,b],[c,d]] subject to the condition a,b,c, and d are integers such that a+b = c+d. Why do the following commands not achieve this?

with(LinearAlgebra):

A:=Matrix[[a,b],[c,d]]):

Eigenvalues(A) assuming a::integer,b::integer,c::integer,d::integer,a+b=d+c

How might I achieve what I need?

Hello,

I'm trying to calculate the time fro my brachistochrone problem.  An object travels from A(0,a) to B(b,0)

a=7 and b=10

I've already found the parametric version:

x(t)=0.5c(t-sin(t) 

y(t)=a-0.5c(1-cos(t))

c= 7.039837581

I cant get it right in maple:

restart; a := 7; b := 10; g := 9.81; eq1 := .5*r*(u-sin(u)) = a; eq2 := a-.5*r*(1-cos(u)) = b; sol := fsolve({eq1, eq2}, {r, u}); r0, u0 := op(subs(sol, [r, u])); x := proc (u) options operator, arrow; .5*r0*(u-sin(u)) end proc; y := proc (u) options operator, arrow; a+(-1)*.5*r0*(1-cos(u)) end proc; plot([x(u), y(u), u = 0 .. u0]); Int(sqrt((diff(x(u), u))^2+(diff(y(u), u))^2)/sqrt(-2*g*y(u)), u = 0 .. u0); evalf(%)

I would be grateful if anyone would comment on the compatibility of Maple 18 and MacOS 10.10 (Yosemite).

without specify the characteristic,

what is the default characteristic used in hilbert series?

I have been having trouble converting the default slew rate unit from Unit('m'^2*'kg'/('s'^4*'A'))

to V/us (Volts per microsecond)

I trying to get to a point where I can define the slew rate and the result will be in terms of V/us.

Similarly, how can I change the output result from 1/s to Hz?

Hi there

How can I enter an arbitrary partition on an interval for calculating a Riemann sum by Maple 13?please write the concerning command.

Regards

Yegan

Hello everybody,

I will start a course in mastering QM in a MOOC format (Massive Open Online Course).  Up to now, I always do the calculation by hand and sometimes with the LinearAlgebra package.  But now I need to do the calculation more rapidly.  So I decided to learn how to use this package for this course.

The help system give a too generalized way to do it.  Even by looking the example, I didn't find praticle example to it.  So is there a generous person who could take a little bit of hi time to show me how to do it by using an exemple that yo will find attach to this post.

Thank you in advance for your trouble.

Besgt regards.

quantum_mechanics_DIRAC.mw

--------------------------------------
Mario Lemelin

Maple 18.2 Win 7 and Ubuntu 14.04 - 64 bits
MapleSim 7 Win 7 and Ubuntu 14.04 - 64 bits
messagerie : mario.lemelin@cgocable.ca
téléphone :  (819) 376-0987

How to write a procedure to find the product of two different primes

Hey all, I am new to the Maple software.

I have a question: how to find sum of all elements in a sequence?

For example , A:=[1,2,3,4]  the stupid way to find the sum is add them together by : A[1]+A[2]+A[3]+A[4]=10

Is there a better way to sum them together?

Hey all, I am new to the maple software. 

I have a question to create a binary sequence -consisting of m zeroes and n ones.  For example, m=n=2. then the number of combinations of the binary sequence is 6,nchoosek(4,2).  And the combinations could be {1,1,0,0}, {0,0,1,1}

{1,0,1,0} ,{0,1,0,1},{0,1,1,0} and {1,0,0,1}. How do I program the maple code ,that could print out all the combinations above?

hello dear freinds

im new comer in maple.

i want to find  particular solution of an ode by following code:

ode := diff(u[1](t), t, t)+u[1](t) = -(1/4)*a^3*cos(3*beta[0]+3*t)-(3/4)*a^3*cos(beta[0]+t)

m := combine(convert(particularsol(ode), trig))

but maple solution is : m := u[1](t) = (81/32)*a^3*cos(-3*beta[0]+t)-(81/16)*a^3*cos(3*beta[0]+t)-(3/8)*a^3*t*sin(beta[0]+t)+(3/16)*a^3*cos(-beta[0]+t)-(27/16)*a^3*cos(beta[0]+t)+(1/32)*a^3*cos(3*beta[0]+3*t)

but  particular solution is :

u[1](t) = -(3/8)*a^3*t*sin(beta[0]+t)+(1/32)*a^3*cos(3*beta[0]+3*t)

is there any idear for finding the solution?

thanks in advance

A 37 foot ladder is placed against a wall that is 9 feet away from its base. Will the top of the ladder reach a window ledge that is 35 feet above ground? Explain.

How do I get values out of solved augmented matric in 2D math input? I cannot simply assign the solutions to a value by x:=A[1,5}, because it's an augmented matrix.

The ability of Maple to solve differential equations is unsurpassed, but when the solutions appear in terms of Heun functions that result is disappointing because it is either difficult or impossible to convert those functions to other functions more commonly used and for which plots are readily generated.

Specifically, does any reader have a suggestion what to do with Heun C and Heun G functions?  In principle, they seem to be related to 1F1 and 2F1 hypergeometric functions, but the conversion seems not to succeed, and it is not obvious how to make it succeed.  In both cases of interest, the literature contains hints of solutions in other functions.

It seems that a solution of a differential equation in terms of Heun functions is not a solution at all.