consider quadratic equation ax^2+bx+c =0 :
the coefficients vary between -1 and +1 . just like this :
-1<a<+1 , -1<b<+1 , -1<c<+1 ;
how can some one proove that this equation should have real answers ?! can anybody help ? thanks in advance.

i am very new with Maple.

I have the following two equations:

x1=a-y1-d*y2;

x2=a-y2-d*y1;

I wish to express the first equation in terms of y1 and x2, so that

x1 = c - b*y1+d*x2;

where c=a-a*d and b=1-d^2. How can I get maple to rearrange the original equation x1 in term of y1, x2, c and b? 

Trying to get this function to work in Maple 18 

CharacteristicPolynomial(M,x)

I am trying to creat a way to solve matrix differential equations step by step.

Hello Forum:

In the Programming Guide, section 14.3 (Programming Guide: Advanced Connectivity), the subsection `Runtime Environment Prerequisites' a sample script is given in order to set up the environment varibales MAPLE and LD_LIBRARY_PATH:

--8><--------------------------------------------------------------------------

#!/bin/sh
export MAPLE="/usr/local/maple"
. $MAPLE/bin/maple -norun
myapp $*

-----------------------------------------------------------------><8-----------

For testing, `my app $*' can be replaced by `printenv': it seems not to work with Maple 2015.

Any hint ?

Thanks in advance,

Jerome

hi.please help me .why rule ''''Det'''' dose not work properly?

this program attached DET.mwblow.thanks alot

Here is the function I want to find the inverse of 

 U(x):=-(s^2/(s^2+1)+1/(s^2+1)-1)*exp(sqrt(s)*x/sqrt(phi))/(s^2+1)+exp(-sqrt(s)*x/sqrt(phi))/(s^2+1);

where phi>0

Now taking the inverselaplace of U(x)

 u:=invlaplace(U(x),s,t);

which give me an unevaluated integral.

Any idea, how to get the complete inverse, maybe interms of erf?

When solving a simple assignment problem in Maple 2015.1 the bug occurs:

In Maple 2012 there are no problems:

A := Matrix([[1, 7, 1, 3], [1, 6, 4, 6], [17, 1, 5, 1], [1, 6, 10, 4]]):

n:=4:

z:=add(add(A[i,j]*x[i,j], j=1..n), i=1..n):

restr:={seq(add(x[i,j], i=1..n)=1, j=1..n),seq(add(x[i,j], j=1..n)=1, i=1..n)};

sol:=Optimization[LPSolve](z, restr, assume=binary); 

I have the following transition rate matrix. Upto m the matrix follows a patern and after that the patern changes but repetative structure is there upto n. In this problem m=4, n=9. How to write these entries using for loop in maple?

Matrix.pdf

why the the software can't solve the integral like ∫xdlnx？

Thanks in advance for your help.

I want to plot curves with Japanese title and labels. I want to plot through an external java program. Is it possible?

When I tried, I am getting control character unexpected error.

Hi, I am learning GR and new to maple. I played with maple's DifferentialGeometry package.

While duplicated the maple GR example, in DGsetup([t, r, theta, phi], M1, verbose),

I got the error,

DGsetup([t, r, theta, phi], M1, verbose)

The following coordinates have been protected:
[t, r, theta, phi]

The following vector fields have been defined and protected:

Error, (in Typeset:-Tdisplay[true]) `alias` does not evaluate to a module

 I don't know how to fix it. Can anyone kindly help?

Thanks

I have started to use Maple 18 and I have found that my scale starts at 2.*10^16 for all functions I graph no matter if its 3D or 2D. Is there a way to change this scale?

Dear, my attached file take alot time to exicute the result, Please solve this problem. I am waiting your kind response. 

Hirota_Bilinear_Method-3.mw

With my best regards and sincerely.

Muhammad Usman

PhD (Scholar) Mathematics

HITEC University, Taxila

Lecturer of Mathematics

Govt. Degree College Taxila Pakistan.

Visiting Lecturer of Mathematics

University of Wah, Pakistan.

Email: mughal1103@gmail.com

Mob #: +923152329276

1.

similar gap system, which function can output coset table ?

if find example below,

f := FreeGroup( "a", "b" );

g := f / [f.1^2, f.2^3, (f.1*f.2)^5];
tab := CosetTable(g, Subgroup(g, [g.1, g.2*g.1*g.2*g.1*g.2^-1]));

2.

if quotient group is for equivalence relations, what do relations [g.1, g.2*g.1*g.2*g.1*g.2^-1] for? which kind of relations is for input to subgroup parameter which is like relations?

3. equalivance relations in wiki mentioned is to partition cells, how do they satisfy symmetric, reflexive and transitive after partition? how to test these partition?

how to implement a free group with symmetric properties?

i find that equivalence relations = relexive, symmetric and transitive , is only these three ?

if implement symmetric properties, does it mean that adding equivalence relations to group?

how to implement free group with this?

i guess something like

f := FreeGroup( "a", "b" );
g := f / [equivalence relations....];