MaplePrimes - Questions and Posts tagged with solutions

Assign name to one of multiple results

9colai — Thu, 14 Mar 2013 13:22:27 Z

Hi!

I need to assign a name to a result calculated from a system of equations. In this case, i've got 2 equations and 2 solutions. I want to assign a name to the each of the solutions.

solve({-a+4*b = 0, 2*a+7*b = 2}, {a, b})

{a = 8/15, b = 2/15}

How do i assign a name for a and another for b?

How does the program terminate after exactly 1 solution has been found?

Stavros — Wed, 13 Mar 2013 15:32:54 Z

Hi!

In the program below, all solutions are found for the equation S.R=T subject to

the constraints given by eq1 and eq2. I've tried it for a

few different choices of T and there's usually 80+ solutions.

I want to try more complicated choices of T (for example,

I want the matrix T to have every entry a distinct prime number).

But then the program crashes. I assume the equations get complicated

or there...

Can all 4x4 matrices be written as a product of the matrices S and R that i've defined?

Stavros — Fri, 08 Mar 2013 14:48:53 Z

Hi! Any help would be greatly appreciated :)

I have two matrices S and R, where

S :=

Matrix([[a_1, a_2, a_3, a_4], [b_1, b_2, b_3, b_4], [c_1, c_2, c_3, c_4], [d_1, d_2, d_3, d_4]]);

such that

a_1*d_1 = b_1*c_1
a_2*d_2 = b_2*c_2
a_3*d_3 = b_3*c_3
a_4*d_4 = b_4*c_4;

and

R :=

Matrix([[s_1, t_1, r_1, l_1], [s_2, t_2, r_2, l_2], [s_3, t_3, r_3, l_3], [s_4, t_4, r_4, l_4]]);

Help with a non-linear equation system with trigonometrics

sokaris331 — Thu, 14 Feb 2013 10:16:55 Z

Anybody has a hint on how to solve a non-linear system with trigonometrics. I want to solve x, y and z.

DirectSearch Package - use

gilp — Wed, 06 Feb 2013 20:04:16 Z

i'm using DirectSearch package to solve the following system of equations (in order to find x1a,x1c,x2a,x2c):

How can i limit the solutions just for positive values of x1a,x2a,x1c,x2c? (Currently, I'm just using

Thanks

Gil

Solving equation with radicals

VolMike — Fri, 04 Jan 2013 20:42:52 Z

Good day, dear Friends!

I'm trying to find real positive roots of equation

with Maple 16.01.

One can easly verifies that this euqation has at least two positive real (integer) solutions: at x=5 and x=10,

but Maple function

analytic solutions of a non linear system of equations

auetienne — Fri, 21 Dec 2012 00:03:00 Z

Hi,

I would like to know if the maple student version can give the analytic solutions of a system of non linear and/or linear equations.

thanks

How many solutions?

Markiyan Hirnyk — Tue, 11 Dec 2012 18:38:34 Z

What is the number of all the solutions of the equation frac(x*floor(x)) = 1/2 belonging to RealRange(1,100)? How to count it with Maple?

Gianni-Kalkbrener theorem

monica_od — Wed, 28 Nov 2012 10:30:23 Z

I would like some help in order to build the following algorithm (Gianni-Kalkbrener) on Maple.

I have a cyclic-5 problem of the following polynomials

L := [a*b*c*d+b*c*d*e+c*d*e*a+d*e*a*b+e*a*b*c, a*b+b*c+c*d+d*e+e*a, a+b+c+d+e, a*b*c*d*e-1, a*b*c+b*c*d+c*d*e+d*e*a+e*a*b]

I found the Grobner basis of that using:

GrobnerBasisOfL := Basis(L, tdeg(a, b, c, d, e))

Then, I have found the FGLM of the Basis using:

Put the solutions of an equation into a list

erik10 — Sat, 10 Nov 2012 16:18:54 Z

Dear Maple users

This may be an easy task, but I cannot seem to find out how to do it: How do I get the solutions of an equation on a list form? Let's say the output of the solve command has the reference number (1), then I tried using the convert command and a label to refer to the Maple output, but it didn't work:

convert((1),list)

I hope someone can help me do it.

Regards,

Erik

Does this system of equations have no solutions?

toandhsp — Sat, 10 Nov 2012 15:21:58 Z

I want to find the edges b and c of the triangle ABC knowing that the mesure of angles are 15 degrees, 30 degrees and 135 degrees and the length of one side is 3. I tried

restart:

a:=3:

eq1:=(a^2+b^2-c^2)/(2*a*b):

eq2:=(b^2+c^2-a^2)/(2*b*c):

eq3:=(c^2+a^2-b^2)/(2*a*c):

solve([eq1=cos(15*Pi/180),eq2=cos(30*Pi/180),eq3=cos(135*Pi/180)],[c,b]);

How can I find all of the solutions of the equation sinx = (1/8).x ?

smiths — Wed, 29 Aug 2012 01:37:51 Z

How can I find all of the solutions of the equation sinx = (1/8).x ?

Please help me, thank you very much !

How to choose the best solutions from multiple solutions in inverse kinematics model?

onder — Sat, 25 Aug 2012 21:04:21 Z

Hi,

I have an inverse kinematics model for a double inverted pendulum. There are multiple solutions for each joint angles due to symmetry and I have to choose the appropriate ones. I thought I can use the previous choices and compare them with the current multiple solutions, so I could choose the ones which are closer to the previous ones. However, since the double inverted pendulum moves in in both region at the equilibrium, this aproach does not work. Could you advise...

Irregularities in finding all solution to the system of equations

elango8 — Thu, 02 Aug 2012 20:57:31 Z

Hello All ,

I have attached my workseet for reference.

I find it strange that the solutions calculated in optimization shows a value "X" but when i try a value greater than "X" , there is still a solution available which is very irregular.Since the optimization finds the value beyond which the solution for a6 is zero/negative.

I am not sure what is causing this problem or is it just the problem with the optimization.

What is the proper syntax for the RegularChains[IsEmpty()] command in Maple 15?

rdw42 — Wed, 11 Jul 2012 13:27:41 Z

I am trying to determine if a particular system of 15 polynomial equations in 9 variables has a real solution using Maple's RegularChains library. I am using the IsEmpty command which returns true if there are no solutions and false otherwise. In Maple 16, this can be done using the command:

IsEmpty( sys, R ) ;

where "sys" is a list of equations and "R" is a polynomial ring, both of which I define in the worksheet. But this syntax only works...