nm

11353 Reputation

20 Badges

13 years, 20 days

MaplePrimes Activity


These are questions asked by nm

Why 

evalf(evalf(''Pi''))

Produces 

But

evalf(''Pi''):
evalf(%)

Produces

      3.141592654

 

 

Could some Maple expert please explain this strange behavior of int? Using Maple 2020 on windows 10



Same integrand. But in one case exp(arcsin(x)) and in another exp(1)^arcsin(x). Why one worked and not the other?

Here is the code

restart;
integrand1 := (x^3*exp(arcsin(x)))/sqrt(1 - x^2);
integrand2 := (x^3*exp(1)^arcsin(x))/sqrt(1 - x^2);
simplify(integrand1-integrand2);
int(integrand1,x);
int(integrand2,x)

 

Download bug.mw

 

 

Why was the question and answer deleted for this?

 

https://www.mapleprimes.com/questions/229329-How-Can-We-Solve-Following-1D-Wave-Equation

 

 

 

 

 

Word-cloud is popular function which many languages have as add-on. Sometime called tag-cloud. https://en.wikipedia.org/wiki/Tag_cloud

"A tag cloud (word cloud or wordle or weighted list in visual design) is a novelty visual representation of text data"

I did help and did some google search, but can not find function in Maple. May be I did not search correctly.

In Mathematica is it called WordCloud. Here is an example of its use

WordCloud[Import["http://maplesoft.com"]]

And it returns this image back to the screen

 

Can one do the above in Maple? And what is the function name? Is it in special package?

 

Can one hope that next version of Maple will be able to solve the standard convection-diffusion pde in 1D?

pde:=diff(u(x,t),t)=d*diff(u(x,t),x$2)+c*diff(u(x,t),x);

in 1D. Even the most simple form with zero boundary conditions can't be solved.

pde:=diff(u(x,t),t)=d*diff(u(x,t),x$2)+c*diff(u(x,t),x);
bc:=u(0,t)=0,u(L,t)=0;
ic:=u(x,0)=f(x);
sol:=pdsolve([pde,ic,bc],u(x,t)) assuming d>0,c>0,L>0

              sol := NULL

I tried some HINT's also but not all of them.

FYI, Mathematica 12.1 is now able to solve the above PDE

ClearAll["Global`*"];
pde=D[u[x,t],t]==d*D[u[x,t],{x,2}]+c*D[u[x,t],x];
bc={u[0,t]==0,u[L,t]==0};
ic=u[x,0]==f[x];
DSolve[{pde,bc,ic},u[x,t],{x,t},Assumptions->{d>0,c>0,L>0}]

Gives

Is it possible I am overlooking some other option or a trick to obtain solution for the above using pdsolve? Only reason I am asking is that Maple can solve much more complicated PDE's and the above is one of the basic diffusion based PDE's. So I am surprised why Maple still can't solve this as it is just a seperation of variables method.

Maple 2020 on windows 10. Physics version 631

First 129 130 131 132 133 134 135 Last Page 131 of 199