Dear all

I have the following code that  compute a parameter labeled by A. 

I used some input vectors and my aim is to get A <1 

A_less_than_one.mw

I tried to change some values of input vectors but unfortunattely I can not have A<1 

Maybe I have a mistake in the code or something else 

Thank you for your help 

I am getting errors while applying the HPM method.
I have attached the maple file.

HPM.mw

Please help me to get the solution.

Thanks in advance.

Dear all

I would like if we can solve a problem of a  field homomorphism between two fields. 

Please, if possible a code that help me to define the homomorphism between finite field. 

homomorphism_finite_field.mw

Thank you 

Dear all

I have a linear  system with four equations,  I used solve to get the result but unfortunately nothing returned

linear_system.mw

Thank you 

Dear all

I have a code that compute the elements of the sigma algebra generated by C in the domain X 
If X is a discrete set and C is also a discrete set 

I get a good results 

But in change X to be an interval and C will be set of three elements

No result obtained 

sigma_algebra.mw

Thank you

Dear all 

I have a simple equation that can be solved by hand. But, can Maple solve this equation 

cos(x)> a,   with a :  real number.

Can we get all possible solution with different values of a, 

Equation.mw

thank you for your help  

Dear all

I have a non continuous function at 0,  how can I use the deifnition of Borel measurable funciton, to show that f is Borel measurable function

borel_M_fct.mw

thank you for your help 

Dear all

I have an equation, I would like to introduce a variable R[0], how can I use subs in my equaiton 

subs_equation.mw

Thank you

Dear all

Can I compute using maple intersection between discrete sets

intersection_sets.mw

thank you for your help 

Dear all

How can I determine a positive constant M such that the following inequality hold for any positive values of a, b,c. 

More precisley, I determine M such that  f(a,b,c) greater or equal M a^2 

The constant M is a positive constant depend only on alpha 

find_positive_constant_M.mw

thank you for your help 

Dear all

I would like to compute Hardy−Littlewood maximal function : we use polar coordinate for a radial function  and then evalaute integral with respect the radius r 

Hardy_maximal_function.mw

Thank you for your help 

u := c1*BesselK(0, alpha1*r) + c2*BesselI(0, alpha1*r) + c3*BesselK(0, alpha2*r) + c4*BesselI(0, alpha2*r) - A1*k^2*(k^2 - (-alpha^2*j*s + 4*c*s)/c)*BesselK(0, k*r)/((-alpha1^2 + k^2)*(-alpha2^2 + k^2)) - B1*k^2*(k^2 - (-alpha^2*j*s + 4*c*s)/c)*BesselI(0, k*r)/((-alpha1^2 + k^2)*(-alpha2^2 + k^2)) + ur*(-alpha^2*j*s + 4*c*s)/(c*(1 + c));

w := (-1 - c)/(2*s*(4.*c - alpha^2*j))*collect(diff(diff(r*diff(u, r), r)/r, r) + (alpha^2 - 4*c*s)*diff(u, r)/(1 + c) - A1*k^3*BesselK(1, k*r) + B1*k^3*BesselI(1, k*r), [c1, c2, c3, c4], factor);

om := (-1)/2*diff(u, r)/r;

fn1 := collect(simplify(subs(subs(r = 1, u))), [c1, c2, c3, c4], factor);
fn2 := collect(simplify(subs(subs(r = sigma, u))), [c1, c2, c3, c4], factor);
fn3 := collect(simplify(subs(r = 1, w)), [c1, c2, c3, c4], factor);
fn4 := collect(simplify(subs(r = sigma, w)), [c1, c2, c3, c4], factor);
soln := simplify(solve({fn1 = 0, fn2 = 0, fn3 = 0, fn4 = 0}, {c1, c2, c3, c4}));

What is the result of the following?

solve((4*t1+4*sqrt(t1^2-4*t2))>0,{t2});
 

Dear all

I  have a PDE, I would like to substitute the funciton T by another funciton 

How transform the old PDE to a new PDE

transfirm_equation_using_change_variable.mw

thank you

Dear all

I have an equation obtained from partial derivable of some functions, I would like to compute the limit when my variable named Pe goes to infinity. 

I hope to get a more appreciate presentation of my code to obtain the limit (  Pe -> + infty)

limit_infinity.mw

All derivative are well compute, but How can I add the limit as Pe goes to infinity

Thank you