MaplePrimes Questions

question2.15.mw

I have a...

question2.12.mw I use invlaplace command to get inverse laplace transform of an expression,but the result is too jumbled,

How can I get a concise form?  I tried in many ways,but failed.

Can you help me? Thanks a lot!

 

plots[implicitplot](tan(x*sqrt(cp^2/3220^2-1))*(cp^2/3220^2-2)^2+4*tan(x*sqrt(cp^2/6450^2-1))*sqrt((cp^2/3220^2-1)*(cp^2/6450^2-1)) = 0, x = 0 .. 14, cp = 0 .. 7000, gridrefine = 7, signchange = false),

the command above can't give me the whole figure, it lost some points in [0,3.5(approximation)],

can someone help me,

thank you very much

On my computer the following command for weighted median calculation

with(Statistics):
n:=60000;
X:=Sample(RandomVariable(Normal(0,1)),n);
w:=<seq(i,i=1..n)>;
Median(X,weights=w);

is worked for n=6000, but don't work for n=60000.

How it is work on another computers ?

Please, check.

I am working on this d2.pdf       problem,is ther any solution with maple?

 The coefficients are function of (T) and I would like Si's is also a function of T.

The well known(!) Heun's equation is,

 

df:=diff(y(z),z,z)+(gamma/z+delta/(z-1)+epsilon/(z))*diff(y(z),z)+(alpha*beta*z-q)/(z*(z-1)*(z-a))*y(z) = 0;

 

The solution is the general Heun's functions and it should be written as HeunG according to the help file of Maple 14 but my solution is found in terms of some function called HG which is not listed in the help system.

1. Are they the same?

I am using display command to get implicitplot. But I only get the graphs in one red colour. I want to get graphs in different colours. How to do that? 

 

How does one get the InequalityGraphics package? I don't see it as a standard package within Maple 14.

If I open help for pdsolve/numeric in Maple14 I can read

PDEsys - single or set or list of time-dependent partial differential equations in two independent variables

 

How can I solve numerical PDE system with more than two variable? If I try it, I get error message

 

Error, (in pdsolve/numeric/process_PDEs) can only numerically solve PDE with two independent variables, got {r, t, t0}

Hey everyone.

I have a wierd problem when using the "Units[Standard]" addon.

I'm trying to do some simple thermodynamics calculations, and need to raise certain values in an irrational power.

It looks like this:

restart:
with(Units[Standard]):

n:=1.38:
p1:=1.1[bar]:
v1:=3[dm^3]:
v2:=0.4[dm^3]:

p2:=(p1*v1^n)/(v2^n):

If I execute it, I get this error:
Error, (in Units:-Standard:-^) a unit can only be raised to a rational power

I wish to solve the following equations simultaneously:

 

(diff(g(t), t, t))*f(x)-(diff(f(x), x, x))*g(t) = 0

and

(diff(f(x), x))^2*g(t)-(diff(g(t), t))^2*f(x) = 0

 

I searched the help files and did the following:

 

I have tried using solve but get an error

solve({`&x`(diff(g(t), t, t), f(x))-`&x`(diff(f(x), x, x), g(t)) = 0, `&x`((diff(f(x), x))^2, g(t))-`&x`((diff(g(t), t))^2, f(x)) = 0}, [f(x), g(t)])

I really like this package:

http://www.maplesoft.com/applications/view.aspx?SID=1671

But it seems to be impossible to intersect more than two areas:

restart;
with(InequalityGraphics);
inequalityplot(sin(x)+4*y>8 and x*y>1 and y<3-x,x=-2..4,y=-2..4,feasiblepoints=30);

It works if I leave out a condition:

inequalityplot(sin(x)+4*y>8 and x*y>1,x=-2..4,y=-2..4,feasiblepoints=30);

  1. How do I 
  2. Write a maple program to calculate the probability that k cards in 3-dimensonal set game (out of 27 cards) contain a set for k=3…9.

      3  randomly generate 12 cards in 4-dimensonal set game, either find a set or report “no set”.

question1.22.mwMy system differential equations are sys:=[deq1,deq2]

and the linearization point is given by linp:=[...]

Then I use linearization command to get a linear model of the system

linmod:=Linearize(sys,[input],[output],linp)

then maple returns a state-space equation of the linearized system.

I want to get the system transfer function, my method is ,first,extract...

i have the list of figure that produced by bellow maple.
for i from 0 to 10 do
  y := i/2;
  f := 2*x + y;
  plot( f, x, color=black); od;
i want the value of y print corresspond to  each line  of figure. 
for Example, the first value of y =0 should be  printed  correspond to the first  line and so on.
 Thus, in dispaly plot, each line correspond to its value of y.
could please help me how to do this?
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