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How do I shrink the "useless" white area...

Asked by: rlewis 40
worksheet animation 3d
June 13 2025
1  5

In the screen shot below taken from a 3D animation I want to vastly shrink the area I have stippled with spots (it's actually white on the worksheet).  It's outside the cube defining the 3D animation and inside the square that defines the part of the worksheet used for an image.

How make it error be small in iteration and how a...

Asked by: salim-barzani 1550
June 13 2025
0  4

in my iteration when i got answer the error is so big and the method is powerfull i don't know i did mistake or my exact function i have to change it, becuase error is so big , how i can make error be smaller i did any mistake ?
and how i can plot them together exact and approximate in one graph also 3D and 2D

Num-e1.mw

How to simplify an exponential expression into hy...

Asked by: Ahmed111 135
simplify simplification approximation
June 13 2025
1  2

I am working with a symbolic expression in Maple that combines exponential terms. How can exponential terms be fully converted into hyperbolic functions? 

> 

restart
> 

with(Student[Precalculus])
> 

interface(showassumed = 0)
> 

assume(x::real); assume(t::real); assume(lambda1::complex); assume(lambda2::complex); assume(a::real); assume(A__c::real); assume(B1::real); assume(B2::real); assume(delta1::real); assume(delta2::real); assume(`ω__0`::real); assume(g::real); assume(l__0::real)
> 

expr := A__c*exp(-(2*I)*(A__c^2*g*l__0^2-1/2)*`ω__0`*t)+(2*I)*exp(-I*(A__c^2*g*l__0^2-1/2)*`ω__0`*t)*(sqrt(delta1+I*delta2-sqrt(-A__c^2*g+(delta1+I*delta2)^2))*exp(-2*sqrt(-A__c^2*g+(delta1+I*delta2)^2)*(l__0^2*(I*delta1-delta2)*t*`ω__0`+(1/2)*x))-sqrt(delta1+I*delta2+sqrt(-A__c^2*g+(delta1+I*delta2)^2))*exp(sqrt(-A__c^2*g+(delta1+I*delta2)^2)*(x+(2*I)*`ω__0`*l__0^2*(delta1+I*delta2)*t)))*(sqrt(-delta1+I*delta2-sqrt(-A__c^2*g+(delta1-I*delta2)^2))*exp((2*(l__0^2*(I*delta1+delta2)*t*`ω__0`-(1/2)*x))*sqrt(-A__c^2*g+(delta1-I*delta2)^2))-sqrt(-delta1+I*delta2+sqrt(-A__c^2*g+(delta1-I*delta2)^2))*exp(-(2*(l__0^2*(I*delta1+delta2)*t*`ω__0`-(1/2)*x))*sqrt(-A__c^2*g+(delta1-I*delta2)^2)))*delta2/(exp(I*(A__c^2*g*l__0^2-1/2)*`ω__0`*t)*(((-sqrt(delta1+I*delta2-sqrt(-A__c^2*g+(delta1+I*delta2)^2))*sqrt(-delta1+I*delta2+sqrt(-A__c^2*g+(delta1-I*delta2)^2))-sqrt(delta1+I*delta2+sqrt(-A__c^2*g+(delta1+I*delta2)^2))*sqrt(-delta1+I*delta2-sqrt(-A__c^2*g+(delta1-I*delta2)^2)))*exp((2*(l__0^2*(I*delta1+delta2)*t*`ω__0`-(1/2)*x))*sqrt(-A__c^2*g+(delta1-I*delta2)^2))+exp(-(2*(l__0^2*(I*delta1+delta2)*t*`ω__0`-(1/2)*x))*sqrt(-A__c^2*g+(delta1-I*delta2)^2))*(sqrt(delta1+I*delta2-sqrt(-A__c^2*g+(delta1+I*delta2)^2))*sqrt(-delta1+I*delta2-sqrt(-A__c^2*g+(delta1-I*delta2)^2))+sqrt(-delta1+I*delta2+sqrt(-A__c^2*g+(delta1-I*delta2)^2))*sqrt(delta1+I*delta2+sqrt(-A__c^2*g+(delta1+I*delta2)^2))))*exp(-2*sqrt(-A__c^2*g+(delta1+I*delta2)^2)*(l__0^2*(I*delta1-delta2)*t*`ω__0`+(1/2)*x))+exp(sqrt(-A__c^2*g+(delta1+I*delta2)^2)*(x+(2*I)*`ω__0`*l__0^2*(delta1+I*delta2)*t))*((sqrt(delta1+I*delta2-sqrt(-A__c^2*g+(delta1+I*delta2)^2))*sqrt(-delta1+I*delta2-sqrt(-A__c^2*g+(delta1-I*delta2)^2))+sqrt(-delta1+I*delta2+sqrt(-A__c^2*g+(delta1-I*delta2)^2))*sqrt(delta1+I*delta2+sqrt(-A__c^2*g+(delta1+I*delta2)^2)))*exp((2*(l__0^2*(I*delta1+delta2)*t*`ω__0`-(1/2)*x))*sqrt(-A__c^2*g+(delta1-I*delta2)^2))-exp(-(2*(l__0^2*(I*delta1+delta2)*t*`ω__0`-(1/2)*x))*sqrt(-A__c^2*g+(delta1-I*delta2)^2))*(sqrt(delta1+I*delta2-sqrt(-A__c^2*g+(delta1+I*delta2)^2))*sqrt(-delta1+I*delta2+sqrt(-A__c^2*g+(delta1-I*delta2)^2))+sqrt(delta1+I*delta2+sqrt(-A__c^2*g+(delta1+I*delta2)^2))*sqrt(-delta1+I*delta2-sqrt(-A__c^2*g+(delta1-I*delta2)^2)))))*(-delta1+I*delta2)*(delta1+I*delta2))

A__c*exp(-(2*I)*(A__c^2*g*l__0^2-1/2)*omega__0*t)+(2*I)*exp(-I*(A__c^2*g*l__0^2-1/2)*omega__0*t)*((delta1+I*delta2-(-A__c^2*g+(delta1+I*delta2)^2)^(1/2))^(1/2)*exp(-2*(-A__c^2*g+(delta1+I*delta2)^2)^(1/2)*(l__0^2*(I*delta1-delta2)*t*omega__0+(1/2)*x))-(delta1+I*delta2+(-A__c^2*g+(delta1+I*delta2)^2)^(1/2))^(1/2)*exp((-A__c^2*g+(delta1+I*delta2)^2)^(1/2)*(x+(2*I)*omega__0*l__0^2*(delta1+I*delta2)*t)))*((-delta1+I*delta2-(-A__c^2*g+(delta1-I*delta2)^2)^(1/2))^(1/2)*exp(2*(l__0^2*(I*delta1+delta2)*t*omega__0-(1/2)*x)*(-A__c^2*g+(delta1-I*delta2)^2)^(1/2))-(-delta1+I*delta2+(-A__c^2*g+(delta1-I*delta2)^2)^(1/2))^(1/2)*exp(-2*(l__0^2*(I*delta1+delta2)*t*omega__0-(1/2)*x)*(-A__c^2*g+(delta1-I*delta2)^2)^(1/2)))*delta2/(exp(I*(A__c^2*g*l__0^2-1/2)*omega__0*t)*(((-(delta1+I*delta2-(-A__c^2*g+(delta1+I*delta2)^2)^(1/2))^(1/2)*(-delta1+I*delta2+(-A__c^2*g+(delta1-I*delta2)^2)^(1/2))^(1/2)-(delta1+I*delta2+(-A__c^2*g+(delta1+I*delta2)^2)^(1/2))^(1/2)*(-delta1+I*delta2-(-A__c^2*g+(delta1-I*delta2)^2)^(1/2))^(1/2))*exp(2*(l__0^2*(I*delta1+delta2)*t*omega__0-(1/2)*x)*(-A__c^2*g+(delta1-I*delta2)^2)^(1/2))+exp(-2*(l__0^2*(I*delta1+delta2)*t*omega__0-(1/2)*x)*(-A__c^2*g+(delta1-I*delta2)^2)^(1/2))*((delta1+I*delta2-(-A__c^2*g+(delta1+I*delta2)^2)^(1/2))^(1/2)*(-delta1+I*delta2-(-A__c^2*g+(delta1-I*delta2)^2)^(1/2))^(1/2)+(-delta1+I*delta2+(-A__c^2*g+(delta1-I*delta2)^2)^(1/2))^(1/2)*(delta1+I*delta2+(-A__c^2*g+(delta1+I*delta2)^2)^(1/2))^(1/2)))*exp(-2*(-A__c^2*g+(delta1+I*delta2)^2)^(1/2)*(l__0^2*(I*delta1-delta2)*t*omega__0+(1/2)*x))+exp((-A__c^2*g+(delta1+I*delta2)^2)^(1/2)*(x+(2*I)*omega__0*l__0^2*(delta1+I*delta2)*t))*(((delta1+I*delta2-(-A__c^2*g+(delta1+I*delta2)^2)^(1/2))^(1/2)*(-delta1+I*delta2-(-A__c^2*g+(delta1-I*delta2)^2)^(1/2))^(1/2)+(-delta1+I*delta2+(-A__c^2*g+(delta1-I*delta2)^2)^(1/2))^(1/2)*(delta1+I*delta2+(-A__c^2*g+(delta1+I*delta2)^2)^(1/2))^(1/2))*exp(2*(l__0^2*(I*delta1+delta2)*t*omega__0-(1/2)*x)*(-A__c^2*g+(delta1-I*delta2)^2)^(1/2))-exp(-2*(l__0^2*(I*delta1+delta2)*t*omega__0-(1/2)*x)*(-A__c^2*g+(delta1-I*delta2)^2)^(1/2))*((delta1+I*delta2-(-A__c^2*g+(delta1+I*delta2)^2)^(1/2))^(1/2)*(-delta1+I*delta2+(-A__c^2*g+(delta1-I*delta2)^2)^(1/2))^(1/2)+(delta1+I*delta2+(-A__c^2*g+(delta1+I*delta2)^2)^(1/2))^(1/2)*(-delta1+I*delta2-(-A__c^2*g+(delta1-I*delta2)^2)^(1/2))^(1/2))))*(-delta1+I*delta2)*(delta1+I*delta2))

 (1)

NULL

Download simplify.mw

  1. Further simplify the expression under three physical scenarios, assuming delta__1 > 0:

    • Case (i): When A__c = 0

    • Case (ii): When delta__1 > g * A__c

    • Case (iii): When delta__1 < g * A__c

How i can get the outcome without giving order a ...

Asked by: salim-barzani 1550
pde differential-equations laplace
June 12 2025
2  8

i got some issue regarding to solving numerical example, he got combine function of infinite term i don't know how when he give alpha a number ? and when didn't give number  to order of fractional laplace and stay alpha letter he got outcome i want apply laplace while is for general alpha betwen n-1<alpha<n when n is number of initial condition, i want to get same result as he did steps are not wrong but outcome have problem .

i have same problem in three example in one paper, is related to update maple to 2025, i saw talking about calculating inverse laplace at new version  any one  know how fix this?

Ex1.mw

EX2.mw

Ex3.mw

Why do I get a set with repeated elements?...

Asked by: rstan23 15
matrix mutable set
June 11 2025
1  4

When I load LinearAlgebra and give the command

{Matrix([1])} union {Matrix([1])};

I receive a set with two elements, each equal to the matrix [1]. Why does this happen? How can I eliminate this duplicate element?

How do i print an index of summation?...

Asked by: paulmcquad 105
2dmath typesetting summation
June 11 2025
1  15

I get this ->

sum(i^2, i = 1 .. 5)

55``

 (1)

 

But would like this ->

Where'd the Tools-> Options menus all go?...

Asked by: Christopher2222 6030
options gui preferences
June 10 2025
2  5

Where have all the tools options display / interface / Precision tabs all gone?  That is typsetting (extended or Maple standard) options
plot or font anti-aliasing (Enabled Disabled) options
plot dislpay (inline window) options
Precision (limit expression length to etc...)

installation time...

Asked by: Christopher2222 6030
time installation
June 10 2025
0  1

What is the installation time for Maple 2025?

I looked up the installation times for Matlab and Mathematica.  The AI assistant in google says Matlab takes several minutes to an hour, for Mathematica 20 minutes to an hour, for Maple it said around 15 minutes -  Is that about right? 

Can plot the matrix instead of linear system of od...

Asked by: Math-dashti 15
matrix ode homework
June 10 2025
1  7

in thus example all of them are write in shape of matrix but all of them are linear differential equation which have critical point zero ,i want to plot thus example and decided the kind of critical point by eagenvalue and by eagenvector i can find the trajectory how i can plot by matrix of each example and show that that critical point is which type as mention in picture?

system-phase-examples.mw

Error, (in assuming) when calling evala/preproc. f...

Asked by: salim-barzani 1550
substitution assuming pde
June 10 2025
3  22

in my iteration is appear Error, (in assuming) when calling 'evala/preproc4'. Received: 'floats not handled' which i know is  becuase assuming but how fix it?

and how i can get that table ?

error-problem.mw

Why my function outcome not working?...

Asked by: salim-barzani 1550
substitution abs conjugate
June 09 2025
0  11

my iteration u[i] in last step not working as i want where is the issue?

b1.mw

What is the facebook.net java script good for...

Asked by: C_R 3372
javascript
June 09 2025
0  0

Same question for googletagmanager.

The NoScript extension for Firefox lists the following java scripts

I do not see a degradation in performance when these scripts are disabled. So why are these scripts running?

What do they do?

there is anyway for plot system of ode equation?...

Asked by: Math-dashti 15
ode homework differential-equations
June 09 2025
2  3

i want plot like that but i can't  and there is anyway for finding the equalibriom point of system? 

> 

restart
> 

with(PDEtools)
> 

with(LinearAlgebra)
> 

with(DEtools)
> 

with(DynamicSystems)
> 

sys := {diff(x(t), t) = 2*x(t)+3*y(t), diff(y(t), t) = 2*x(t)+y(t)}

{diff(x(t), t) = 2*x(t)+3*y(t), diff(y(t), t) = 2*x(t)+y(t)}

 (1)
> 

fns := {x(t), y(t)}

{x(t), y(t)}

 (2)
> 

sol := dsolve(sys, fns)

{x(t) = c__1*exp(4*t)+c__2*exp(-t), y(t) = (2/3)*c__1*exp(4*t)-c__2*exp(-t)}

 (3)
> 

ode := [diff(x(t), t) = 2*x(t)+3*y(t), diff(y(t), t) = 2*x(t)+y(t)]; S := dsolve(ode)

[diff(x(t), t) = 2*x(t)+3*y(t), diff(y(t), t) = 2*x(t)+y(t)]

  

{x(t) = c__1*exp(4*t)+c__2*exp(-t), y(t) = (2/3)*c__1*exp(4*t)-c__2*exp(-t)}

 (4)
> 

Student:-ODEs:-ODESteps(ode, {x(t), y(t)})

"[[,,"Let's solve"],[,,[(&DifferentialD;)/(&DifferentialD;t) x(t)=2 x(t)+3 y(t),(&DifferentialD;)/(&DifferentialD;t) y(t)=2 x(t)+y(t)]],["&bullet;",,"Define vector"],[,,x(t)=[?]],["&bullet;",,"Convert system into a vector equation"],[,,(&DifferentialD;)/(&DifferentialD;t) x(t)=[?]*x(t)+[?]],["&bullet;",,"System to solve"],[,,(&DifferentialD;)/(&DifferentialD;t) x(t)=[?]*x(t)],["&bullet;",,"Define the coefficient matrix"],[,,A=[?]],["&bullet;",,"Rewrite the system as"],[,,(&DifferentialD;)/(&DifferentialD;t) x(t)=A*x(t)],["&bullet;",,"To solve the system, find the eigenvalues and eigenvectors of" A],["&bullet;",,"Eigenpairs of" A],[,,[[-1,[?]],[4,[?]]]],["&bullet;",,"Consider eigenpair"],[,,[-1,RTABLE(18446744074191517278,MATRIX([[-1], [1]]),Vector[column])]],["&bullet;",,"Solution to homogeneous system from eigenpair"],[,,(x)[1]=[]],["&bullet;",,"Consider eigenpair"],[,,[4,RTABLE(18446744074192645174,MATRIX([[3/2], [1]]),Vector[column])]],["&bullet;",,"Solution to homogeneous system from eigenpair"],[,,(x)[2]=[]],["&bullet;",,"General solution to the system of ODEs"],[,,x=`c__1` (x)[1]+`c__2` (x)[2]],["&bullet;",,"Substitute solutions into the general solution"],[,,x=[]+[]],["&bullet;",,"Substitute in vector of dependent variables"],[,,[?]=[?]],["&bullet;",,"Solution to the system of ODEs"],[,,{x(t)=-`c__1` (e)^(-t)+(3 `c__2` (e)^(4 t))/2,y(t)=`c__1` (e)^(-t)+`c__2` (e)^(4 t)}]]"

 (5)
 

NULL

Download Plot-1.mw

Error, (in Statistics:-Fit) invalid input: Fit exp...

Asked by: MAXR 30
syntax statistics fit
June 08 2025
0  5

Dear All, I hope this message finds you well. I am currently facing some issues and would appreciate your support or guidance in resolving them. Nusselt_RSM_Model.mw

 
> 

restart;
> 

with(Statistics): with(LinearAlgebra): with(plots):
> 

local A, B, C, D;
> 

Digits := 10:
> 

 

> 

# Step 1: Define the variables
> 

vars := [A, B, C, D];
> 

 

> 

# Step 2: Generate Central Composite Design (CCD) coded matrix
> 

coded := Matrix([
> 

    [ 1,  1,  1,  1],
> 

    [ 1,  1,  1, -1],
> 

    [ 1,  1, -1,  1],
> 

    [ 1,  1, -1, -1],
> 

    [ 1, -1,  1,  1],
> 

    [ 1, -1,  1, -1],
> 

    [ 1, -1, -1,  1],
> 

    [ 1, -1, -1, -1],
> 

    [-1,  1,  1,  1],
> 

    [-1,  1,  1, -1],
> 

    [-1,  1, -1,  1],
> 

    [-1,  1, -1, -1],
> 

    [-1, -1,  1,  1],
> 

    [-1, -1,  1, -1],
> 

    [-1, -1, -1,  1],
> 

    [-1, -1, -1, -1],
> 

    [ 0,  0,  0,  0],
> 

    [ 0,  0,  0,  0],
> 

    [ 0,  0,  0,  0],
> 

    [ 0,  0,  0,  0]
> 

]):
> 

 

> 

# Step 3: Define uncoded variable ranges
> 

rangeA := [0.1, 0.5]:
> 

rangeB := [0.1, 0.5]:
> 

rangeC := [0.1, 0.5]:
> 

rangeD := [0.1, 0.5]:
> 

 

> 

decode := (val, r) -> r[1] + (val + 1)*(r[2] - r[1])/2:
> 

 

> 

# Step 4: Create actual values matrix
> 

actual := Matrix(20, 4):
> 

for i from 1 to 20 do
> 

    for j from 1 to 4 do
> 

        r := eval(cat("range", vars[j])):
> 

        actual[i, j] := evalf(decode(coded[i, j], r));
> 

    end do;
> 

end do:
> 

 

> 

# Step 5: Define model coefficients (for simulation purposes)
> 

beta := [1.5, 0.8, 0.6, 0.5, 0.3,  # Linear terms
> 

         0.1, 0.2, 0.15, 0.18,  # Square terms
> 

         0.05, 0.04, 0.03, 0.02, 0.01, 0.025]; # Interaction terms
> 

 

> 

# Step 6: Simulate Response (Nusselt number)
> 

Nu := Vector(20):
> 

for i from 1 to 20 do
> 

    A := actual[i,1]; B := actual[i,2]; C := actual[i,3]; D := actual[i,4];
> 

    Nu[i] := evalf(
> 

        beta[1] + beta[2]*A + beta[3]*B + beta[4]*C + beta[5]*D +
> 

        beta[6]*A^2 + beta[7]*B^2 + beta[8]*C^2 + beta[9]*D^2 +
> 

        beta[10]*A*B + beta[11]*A*C + beta[12]*A*D +
> 

        beta[13]*B*C + beta[14]*B*D + beta[15]*C*D
> 

    );
> 

end do:
> 

 

> 

# Step 7: Create data frame for ANOVA
> 

X := Matrix(actual):
> 

Y := convert(Nu, list):
> 

 

> 

# Step 8: Fit quadratic model
> 

model := Fit(
> 

    A + B + C + D + A^2 + B^2 + C^2 + D^2 + A*B + A*C + A*D + B*C + B*D + C*D,
> 

    X,
> 

    Y,
> 

    vars
> 

):
> 

 

> 

# Step 9: ANOVA table
> 

anovaTable := ANOVA(model, significancelevel=0.05):
> 

 

> 

# Step 10: Display results with 8 decimal places
> 

printf("RSM Model for Nu (Nusselt number):\n");
> 

print(evalf[8](model));
> 

printf("\nANOVA Table:\n");
> 

print(anovaTable);
> 

 

> 

# Optional: Plotting
> 

pointplot([seq([i, Nu[i]], i = 1..20)], style=point, symbol=circle,
> 

          color=red, title="Nusselt Number vs Run Index",
> 

          labels=["Run", "Nusselt Number"]);

[A, B, C, D]

  

[1.5, .8, .6, .5, .3, .1, .2, .15, .18, 0.5e-1, 0.4e-1, 0.3e-1, 0.2e-1, 0.1e-1, 0.25e-1]

  

Error, (in Statistics:-Fit) invalid input: Fit expects its 4th argument, v, to be of type {name, list(name)}, but received [1.5+2.2*"a"+.805*"a"^2, 1.5+1.9*"a"+.3*"r"+.56*"a"^2+.18*"r"^2+0.65e-1*"a"*"r", 1.5+1.7*"a"+.5*"r"+.57*"a"^2+.15*"r"^2+0.85e-1*"a"*"r", 1.5+1.4*"a"+.8*"r"+.35*"a"^2+.355*"r"^2+.10*"a"*"r", 1.5+1.6*"a"+.6*"r"+.525*"a"^2+.2*"r"^2+0.8e-1*"a"*"r", 1.5+1.3*"a"+.9*"r"+.29*"a"^2+.39*"r"^2+.125*"a"*"r", 1.5+1.1*"a"+1.1*"r"+.31*"a"^2+.37*"r"^2+.125*"a"*"r", 1.5+.8*"a"+1.4*"r"+.1*"a"^2+.585*"r"^2+.12*"a"*"r", 1.5+.8*"r"+1.4*"a"+.1*"r"^2+.585*"a"^2+.12*"a"*"r", 1.5+1.1*"r"+1.1*"a"+.31*"r"^2+.37*"a"^2+.125*"a"*"r", 1.5+1.3*"r"+.9*"...

  

RSM Model for Nu (Nusselt number):

  

model

  


ANOVA Table:

  

ANOVA(model, significancelevel = 0.5e-1)

  

Error, (in plots:-pointplot) incorrect specification of points data

  
 

``

Download Nusselt_RSM_Model.mw

guidance to translate my pen-and-paper solution...

Asked by: jalal 435
complex plotting
June 08 2025
0  7

Hi,

I’m not very familiar with how to handle complex numbers in Maple, but I’d like to solve a final exam exercise (June 2025) on complex numbers in this environment. I’ve already solved it using pen and paper. My goal is also to illustrate the different results graphically, for pedagogical purposes, so I’d like some guidance to translate my pen-and-paper solution.

Bac_25_SM_Complexes.mw

Epreuve_Bac_SM_2025_Ss1_Sol-Exo-02.pdf

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