Maple 2019 Questions and Posts

These are Posts and Questions associated with the product, Maple 2019

Hello,

I'm experimenting the RSA encryption algorithm and in one example, I need to calculate (m^e) mod n where :

n=4142074788597595058238933087635402958555715420375128103710780511

m=65108105099101044032

e=3467995563410655813589059428902496618444213189544232426283402949

and I receive : Error, numeric exception: overflow

Even though these are large numbers, modular arithmetic algorithms should be able to deal with that.

Why is it not the case ?

NB : One of the mathApps in the category Computer Science is "RSA Encryption" and proves to be fairly comfortable with such large numbers, no overflow!

 
V1 := [1.666666667, 1.983050847, 2.372881356, 2.768361582, 
    3.380681818, 3.977272727, 4.767045455, 5.755681818, 
    6.937500000, 8.244318182, 9.801136364, 0.2971428571, 
    0.6914285714, 1.085714286, 0.3942857143]
dV1 := [0.03315280331, 0.03866282527, 0.04508264551, 
   0.05165406892, 0.06212371278, 0.07219635124, 0.08557994498, 
   0.1023815798, 0.1225076192, 0.1447933406, 0.1713677762, 
   0.01380612592, 0.01872473080, 0.02454205309, 0.01488350319]
V2 := [17/10, 2, 12/5, 14/5, 17/5, 4, 24/5, 29/5, 7, 42/5, 10, 3/10, 7/10, 11/10, 2/5]
dV2 := [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

Hey,

i have trouble adding error bars to my plots despite experimenting with it for hours. I tried using ErrorBars but i never get close to what i need. What i have is V1 (values for y) and V2 (values for x) to produce a ScatterPlot which works alright. What i need is something like this: .

For the errors in x and y-direction i have 2 lists dV1 (y errors) and dV2 (x errors).

This is my first post and i´m a bit in a rush so please excuse me for any mistakes i may have made.

Hi, Can anyone help me to write a code for shooting method of given ode in worksheet?

SH.mw

Calculation of these integrals takes much time.

Is there a way to reduce the time?

MY_SYSTEM.mw

 

I have this procedure to perform a Boole-Mobius Transform. I took me quite a while to figure out. Whereas it works, I wonder how it should be done efficiently? The document is also attached which shows the steps I went through to derive the procedure. I can't get the document to display.

BooleMobiusTransform := proc(V) 
local n, im, istep, jm, h, istart, i, j, k; n := ilog2(numelems(V)); im := 2^n/2; istep := im; jm := 1; h := 2^n; 
for k to n do
 istart := 1; 
for j to jm do 
for i from istart to im - 1 + istart do 
V(istep + i) := (V[istep + i] + V[i]) mod 2;
 end do;
 istart := istart + h; 
end do;
 im := 1/2*im; istep := 1/2*istep; jm := 2*jm; h := 1/2*h; 
end do; 
return V; 
end proc

Boole-Mobius_Transform.mw

DEAR SIR,

 

GOOD EVENING.

 

HOW TO FIND THE AREA BETWEEN THE CURVES  USING MAPLE? 

How I can edit and apply the following conditions to my plot functions 

`######   I want to change q  (starting from 0.3) from 0.3 by .001 to 0.377 and plot 2D (u-q) ,(v,q), (u,v) and  plot3D (u,v,q)`

 

`######   I want to change q (starting from 0.37727) from 0.37727 by .001 to 0.390059 and h from 0.1 by .001 to 0.138462  and plot 2D (h-q)  and  plot3D (u,h,q),(v,h,q)`

I couldn't attach my file here, so I uploaded that here

https://drive.google.com/file/d/17purRxEdDqrTJeFDcF1-d9J7b3LkuJnF/view?usp=sharing

 

Hi,

I am studying nonlinear differential equations, and came across an interesting one on maple's help page.  I made a post about this equation already, but I have decided to make a new post because the topic is slightly different than from the previous post.

The topic of this post is:

"Can numerical methods and exact, implicit techniques find false solutions?"

To make the discussion clearer, the rest of this post can be found in the maple file I created.

Hi.why the calculation of this integral is very slow.

This is a small part of the original function that I want to calculate its integrations.

Is there other and faster such as an approximate method to do this task faster?

Best

intergral.mw

 

Hi to all community. I am trying to integrate a lengthy-expression but could not get the result after waiting of 1 and 2 hours even. is there any way to control such integration


 

Integration_Help.mw

 

 

A very simple question (by example):

Consider two polynomials g and h:

with(PolynomialTools):

g:=FromCoefficientList([1,2,3],x);

h:=FromCoefficientList([4,5,6,7],x);

 

What is the syntax for computing the composition of g with h? (As a polynomial.)

For instance, I would like to use CoefficientList on the result.

 

I know the @ operator and the subs command and have tried using them in various ways, but with no success.

(Of course, my question is general; the above is just an example.)

---

Edit: Additional question (which is my real question):

I'm writing a procedure that takes two polynomials g and h, and in which I define an unknown polynomial f. I want to compute its coefficients so that

f "composition" g = h

I write:

fCoeff:=seq(a[i],i=0..t) (to define the unknown coefficients. I can compute t.)

f := FromCoefficientList([fCoeff],x);

Then I would like to do something like:

comCoeff:=CoefficientList(f "composition" g,x)

If I have this, then I know how to solve for the unkown coefficients in f.

Hi to all

can anyone help me to draw when one axis is infarction and pleases guide me on how to put staric and circle on the line of the graph.

graph_help.mw

Greeting,I am trying to integrate my expression by using Simpson 3/8 rule but could not get the express. is it possible to solve the same expression by using newton cotes formula, pls have look on my maple file

 

help_int.mw

Greeting maple community

I want to separate the value of  sigma in terms of a, b and c but could not  get, need help about it

help.mw

Given a metric, to compute quantities in the NP formalism one needs to specify a null tetrad. In the various examples in the help pages, sometimes the tetrad is specified simply as a list of 4 vectors, e.g., NT := [...] and sometimes evalDG is applied as in NT := evalDG({...]). Using the first format, Maple accepted NT as argument in NPSpinCoefficients but  NPCurvatureScalars(SpinCoefficients,NT) complained that the second argument wasn't a list of four vectors. When I used the second format, both commands returned the expected results. Why the difference?

RobinsonTrautmanSpinDG.mw

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