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MaplePrimes Questions

How to find coefficient for the term if it in deno...

Asked by: Rohith 65
denominator
November 09 2018
0  3

 

Convert to gamma function...

Asked by: nrsyhrhwhd 25
convert integration gamma
November 09 2018
2  1

Can this expression be transferred to gamma function form?

Int(exp(-Pr*(s*eta*lambda^2+lambda*eta+exp(-lambda*eta))/lambda^2), eta)

Solving the following PDE...

Asked by: student_1 305
pde
November 08 2018
0  2

How can we solve the following pde by Maple? 

where v is velocity, v with dot is acceleration. (So, I think we will assume that acceleration is fixed.) And \delta is Dirac distribution.  E,I,m, M , g are fixed numbers.

Boundary conditions are:

Initial conditions are:

 

You can find the equation in the code: question.mw

maple 2018 does not execute sum (which worked in ...

Asked by: shuen 5
sum summation
November 08 2018
1  4

Hi,

this "sum(1/(1+x)^t, t=1..infinity)" is (in my opionon) one of the most standard infinity summation and has the closed form 1/x. 
i used maple 18 and it was executed and i got the closed form 1/x.

with maple 2018 i get the non executed form, also the same inert form as "Sum(1/(1+x)^t, t=1..infinity)".

if i try "sum(1/(1+2)^t, t=1..infinity)" i get 1/2 as result.

why does the version above not working? any ideas?

thank you.

Casesplit applied to a system of PDEs...

Asked by: santamartina 40
pde differential-equations pdetools
November 08 2018
3  1

Dear friends,

I'm trying to solve a linear system of PDEs. After applying the casesplit command Maple returns: 

diff(U, z, y, x, x) = 0; diff(G, y,y,z) = diff(U,x,y,z);  diff(G,x,y,z) = diff(U,x,x,z)     

(with U(x,y,z), G(x,y,z)) 

The solution to the first equation is U = F4(x, y)+ F3(x, z) + F2(y, z) + x*F1(y, z). 

However, given this solution, I cannot satisfy diff(G,x,y,z) = diff(U,x,x,z).  What could I be doing wrong? 

Many thanks for your help.  

Corrupted file ...

Asked by: casper-y 5
worksheet corruption incomplete-question
November 08 2018
1  1

Hi

I have a problem with my maple. 

 

corrupt file 

Is there anybody who can help me solve this problem. 

Casper 

isolve and _SolutionsMayBeLost...

Asked by: vv 13852
isolve
November 08 2018
2  7
> 

sys:={x+y=10,x^2-y^2+z^2=1};

{x+y = 10, x^2-y^2+z^2 = 1}

 (1)
> 

isolve(sys, n);

{x = -(1/20)*(1+20*n)^2+101/20, y = (1/20)*(1+20*n)^2+99/20, z = 1+20*n}

 (2)
> 

_SolutionsMayBeLost;  # It was set in Maple 10 or so!  E.g. x=5,y=5,z=-1 is not found.

_SolutionsMayBeLost

 (3)
> 

# Workaround
> 

yz:=eliminate(sys,x);

[{x = -y+10}, {z^2-20*y+99}]

 (4)
> 

S:=isolve(yz[2], n);

{y = 20*n^2-38*n+23, z = 19-20*n}, {y = 20*n^2-22*n+11, z = 11-20*n}, {y = 20*n^2-18*n+9, z = 9-20*n}, {y = 20*n^2-2*n+5, z = 1-20*n}

 (5)
> 

map(u -> ( u union eval(yz[1],u) ), [S])[];  # The correct solution

{x = -20*n^2+38*n-13, y = 20*n^2-38*n+23, z = 19-20*n}, {x = -20*n^2+22*n-1, y = 20*n^2-22*n+11, z = 11-20*n}, {x = -20*n^2+18*n+1, y = 20*n^2-18*n+9, z = 9-20*n}, {x = -20*n^2+2*n+5, y = 20*n^2-2*n+5, z = 1-20*n}

 (6)
> 

 

Differential forward quote...

Asked by: brian bovril 914
input 1dmath
November 07 2018
0  2

This may seem a bit trivial, but I prefer f'(x) to writing diff(f(x),x) in 1D input. How to achieve?

differential.mw


 

15

  

"maple init loaded..."

 (1)

In Document mode, this works fine.

f := proc (x) options operator, arrow; x^2 end proc

proc (x) options operator, arrow; x^2 end proc

 (2)

diff(f(x), x)

2*x

 (3)

But I mainly use Worksheet (1D) mode, and I can't seem to acheve the same, without using diff(f(x),x)

``

f:x->x^2

proc (x) options operator, arrow; x^2 end proc

 (4)

f'(x)

Error, unexpected single forward quote

  

``


 

Download differential.mw

 

Pulling power into exponential under assumptions...

Asked by: digerdiga 390
exponential simplification combine
November 07 2018
1  9

Hello,

Simple question:

Why does

restart;

(exp(I*t))^q;

`assuming`([simplify(%)], [t > 0, t < 2*Pi, q > 0, q < 1])

 

 

not simplify to exp(I*t*q)

?

Physics package archive?...

Asked by: Christopher2222 6030
package physics
November 07 2018
1  6

The Maplecloud and maplesoft web pages only have the latest version of the physics package. 

Is there an archive of older physics packages?  ie. the latest versions to go with each of the older versions of Maple?

how to get maple to automatically simplify...

Asked by: itsme 774
simplification trig
November 07 2018
0  6

does anyone khow to force maple to automatically simplify expressions that look like this:

restart:

cc:=arctan(sin(phi)/cos(phi))-arccos(cos(phi))      
simplify(cc) assuming phi::real; #should be zero

i've played with convert/expand/simplify and in certain cases of course i can force maple to do this... (kind of manually).. but was hoping this could be more automatic.

thanks!

 

Round with units...

Asked by: bliengme 70
round units
November 07 2018
1  3

The round(x) statement rounds x to the nearest integer but if x has unirs it appears not to work. Known bug?

RoundUnits.mw
 

> 

restart
> 

a := 15; b := 5.3
> 

c := (1/100)*a+b

5.450000000

 (1)
> 

c := round(c)

5

 (2)
> 

``
> 

A := 15*Unit('cm'); B := 5.3*Unit('m')
> 

C := A+B

15*Units:-Unit(cm)+5.3*Units:-Unit(m)

 (3)
> 

C := simplify(C)

5.450000000*Units:-Unit(m)

 (4)
> 

Cr := round(C)

round(5.450000000*Units:-Unit(m))

 (5)
> 

``


 

Download RoundUnits.mw

 

Gamma function problem...

Asked by: miroslav 15
gamma
November 07 2018
1  3

Hello, I am getting the following output from maple: (-ln(lambda)-gamma-ln(k+b))/(k+b) . I have all variables (lambda, k, b) but not gamma and I am not sure what actually it is. I believe it is some kind of Gamma function but I cannot find any expressions for that. Ussually for gamma function I get something like GAMMA(x). Does someone know what this lower case gamma is?

How do I write a simple procedure to evaluate the ...

Asked by: Teep 200
November 07 2018
0  4

I wish to write a simple procedure to evaluate the Poisson quantile function, F, for many possible parameter values, lambda.

The Maple commands to evaluate F for individual lambda values works just fine, however, I have tried to write a simple procedure to evaluate F for prescribed lambda values (imported from Excel) but to no avail. I'm missing something quite basic, I'm sure.

Can anybody offer a suggestion please? Thanks.

 

Inverse_Poisson_Procedure.mw

how i can Substituting......

Asked by: torabi 90
substitution
November 06 2018
0  4

i want to gain diff(p(t), t) and diff(q(t), t) and Jacobian matrix
 according to the attached pdf file.

please help me.

thanks

simplify.mw
 

> 

k := diff(a(t), t) = -mu*a(t)-(1/4)*alpha6*a(t)*sin(gamma(t))

diff(a(t), t) = -mu*a(t)-(1/4)*alpha6*a(t)*sin(gamma(t))

 (1)
> 

j := a(t)*(diff(gamma(t), t)) = 2*a(t)*sigma-(6*(1/8))*(alpha1-alpha2+(1/3)*alpha3)*a(t)^3-(1/2)*alpha6*a(t)*cos(gamma(t))

a(t)*(diff(gamma(t), t)) = 2*a(t)*sigma-(3/4)*(alpha1-alpha2+(1/3)*alpha3)*a(t)^3-(1/2)*alpha6*a(t)*cos(gamma(t))

 (2)
> 

"p(t):=a(t)*cos(gamma(t))"

proc (t) options operator, arrow, function_assign; a(t)*cos(gamma(t)) end proc

 (3)
> 

"q(t):=a(t)*sin(gamma(t))"

proc (t) options operator, arrow, function_assign; a(t)*sin(gamma(t)) end proc

 (4)
> 

diff(p(t), t)

(diff(a(t), t))*cos(gamma(t))-a(t)*(diff(gamma(t), t))*sin(gamma(t))

 (5)
> 

(-mu*a(t)-(1/4)*alpha6*a(t)*sin(gamma(t)))*cos(gamma(t))-a(t)*(2*sigma-(6*(1/8))*(alpha1-alpha2+(1/3)*alpha3)*a(t)^2-(1/2)*alpha6*cos(gamma(t)))*sin(gamma(t))

(-mu*a(t)-(1/4)*alpha6*a(t)*sin(gamma(t)))*cos(gamma(t))-a(t)*(2*sigma-(3/4)*(alpha1-alpha2+(1/3)*alpha3)*a(t)^2-(1/2)*alpha6*cos(gamma(t)))*sin(gamma(t))

 (6)
> 

diff(p(t), t)

2*t

 (7)
> 

``


subs.pdf

Download simplify.mw

 

 

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