How do you indent your code neatly ? There should be a feature for automatic indentation, the code structure closesly follows python coding style and having it organized would be very helpful.

Any advise is appreciated.

Hello.

I have a problem for determining a and b?

please help me.

thanks

PADE.mw

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/PADE.mw .
 

Download PADE.mw

And the Nobel prize in physics 2017 went for work in General Relativity ! Actually, experimental work involving sophisticated detectors and Numerical Relativity, one of the branches of GR. The prize was awarded to Rainer Weiss (85 years old, 1/2 of the prize), Barry Barish (81 years old, 1/4 of the prize) and Kip Thorne (77 years old, 1/4 of the prize) who have "shaken the world again" with their work on Ligo experiment, which was able to detect ripples in the fabric of spacetime.

General Relativity continues to be at the center of work in theoretical and experimental physics. I take this opportunity to note that, in Maple 2017, among the several improvements in the Physics package regarding General Relativity, there is a new package, Physics:-ThreePlusOne, all dedicated to the symbolic manipulations necessary to formulate problems in Numerical Relativity.

The GR functionality implemented in Physics, Physics:-Tetrads and Physics:-ThreePlusOne is unique in computer algebra systems and reflects the Maplesoft intention, for several years now, to provide the very best possible computer algebra environment for Physics, regarding current research activity as well as related education in advanced mathematical-physics methods.

For what is going on in theoretical physics nowadays and its connection with General Relativity, in very short: the unification of gravity with the other forces, check for instance this map from Aug/2015 (by the way a very nice summary for whoever is interested):

It is also interesting the article behind this map of topics as well as this brilliant and accessible presentation by Nima Arkani-Hamed (Princeton):  Quantum Mechanics and Spacetime in the 21st Century, given in the Perimeter Institute for Theoretical Physics (Waterloo), November 2014. 

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

We have released a small maintenance update to Maple. Maple 2017.3 provides enhancements in several areas, including mathematical typesetting, pdsolve, and the Physics package. It also provides improvements to the MapleCloud, including a fix for a problem that prevented some Mac users from logging on with their Google credentials.

This update is available through Tools>Check for Updates in Maple, and is also available from our website on the Maple 2017.3 download page.

where i'm wrong
 

> with(plottools);
> with(plots);
> m := PLOT(polygon([[2, 2], [2, 3], [4, 3], [4, 2]], color = blue), polygon([[1, 1], [1, 4], [5, 4], [5, 1]], color = red), polygon([[1, 4], [3, 6], [5, 4]], thickness = 3, color = red), curve([[4.5, 5.5], [5, 6]]), polygon([[3.5, 5], [4, 5.5], [4.5, 5], [4, 4.5]], color = red));
> n := PLOT(polygon([[2, 2], [2, 3], [4, 3], [4, 2]], color = green), polygon([[1, 1], [1, 4], [5, 4], [5, 1]], color = red), polygon([[1, 4], [3, 6], [5, 4]], thickness = 3, color = red), curve([[5.5, 6], [6, 6.5]]), polygon([[3.5, 5], [4, 5.5], [4.5, 5], [4, 4.5]], color = red));
> display([m, n], insequence = true);
Error, (in plots:-display) expecting plot structures but received: [m, n]
>

I was to define a function of two variable in terms of two other functions.  This other function depends on another two functions which are unknown.  For example

g(u,v)=alpha(u,v)*beta(u,v)

h(u,v)=alpha(u,v)+beta(u,v)

f(u,v) = D_1g(u,v)*h(u,v).

I tried by writtinge this line 

g:=(u,v)->alpha(u,v)*beta(u,v)

h:=(u,v)->alpha(u,v)+beta(u,v)

f:=(u,v)->D[1](g)(u,v)*h(u,v).

Is this correct?   

If this is correct, then how I make maple show f in tems of the unkown functions alpha and beta?

Thanks,

Sergio

i want to use by part integration for triple integral but parts dont work properly, how i can fix it?

The following procedure describes the path of a projectile fired from the origin with a launch angle of alpha and a launch velocity of u.

z := proc (x) options operator, arrow; tan(alpha)*x-(1/2)*g*x^2/(u^2*cos(alpha)^2) end proc

The projectile's path must pass through the point [a, h], both values greater than zero.

Can an expression be found for the minimum value of u and its related value for alpha?

Group of exercises solved using Maple scientific software, with the necessary considerations of some basic commands: evalf and convert that will show the solutions with the user-defined digits and the angular measurement in sexagesimal degrees. Important use of the law of the triangle through of vector position applied to vectors in vector spaces, vector force and vector moment for engineering students. In spanish.

Exercises_of_vectors_forces_and_moment_with_Maple.mw

Videotutorial:

https://www.youtube.com/watch?v=DxpO0gc5GCA

Lenin Araujo Castillo

Ambassador of Maple

the infint  summation  maple cant evaluated it  when my variables  are more than one decimal number 

;

I have a problem that seems rather simple in theory, yet if implemented in maple there arise problems. I want to solve systems of linear equations that involve roots of unity.

This problem arises when trying to find explicit equations of multivariate polynomials of fixed degree through given points (together with conditions on the derivatives of the curve at these points). In the following case, the points are dented by P[i] and I'm looking for the explicit equation of the degree 9 polynomial through these points. Actually, I know there is a two parameter family of such polynomials, so the solution will be of dimension two.

Sorry for the rather crude implementation.

with(Groebner): with(algcurves): with(LinearAlgebra):

t := exp((1/9)*(2*Pi*I)):
s := exp((1/3)*(2*Pi*I)):
a_1 := -1*t:
a_2 := -s*t:
a_3 := -s^2*t:
P[1] := a_1, 0, 1: P[2] := a_2, 0, 1: P[3] := a_3, 0, 1:
P[4] := 1, t*a_1, 0: P[5] := 1, t*a_2, 0: P[6] := 1, t*a_3, 0:
P[7] := 0, 1, a_1: P[8] := 0, 1, a_2: P[9] := 0, 1, a_3:

G := 0: var1 := 0:
for n from 0 to 9 do
G := G+add(c[k, n-k]*x^k*y^(n-k), k = 0 .. n):
for k from 0 to n do var1 := var1, c[k, n-k]:
end do: 
end do:
F := Homogenize(G, z):
Fx := diff(F, x):
Fy := diff(F, y):
Fz := diff(F, z):
Fxx := diff(F, x, x):
Fxy := diff(F, x, y):
Fyx := Fxy:
Fyy := diff(F, y, y):
Fxz := diff(F, x, z):
Fzx := Fxz:
Fzz := diff(F, z, z):
Fyz := diff(F, y, z):
Fzy := diff(F, z, y):

f := unapply(F, [x, y, z]): fx := unapply(Fx, [x, y, z]): fy := unapply(Fy, [x, y, z]): fz := unapply(Fz, [x, y, z]): fxx := unapply(Fxx, [x, y, z]): fxy := unapply(Fxy, [x, y, z]): fyx := unapply(Fyx, [x, y, z]): fyy := unapply(Fyy, [x, y, z]): fxz := unapply(Fxz, [x, y, z]): fzx := unapply(Fzx, [x, y, z]): fzz := unapply(Fzz, [x, y, z]): fyz := unapply(Fyz, [x, y, z]): fzy := unapply(Fzy, [x, y, z]):

sys := [f(P[1]) = 0, fx(P[1]) = 0, fy(P[1]) = 0, fz(P[1]) = 0, fxy(P[1]) = 0, fxz(P[1]) = 0, fxx(P[1]) = 0, fyy(P[1]) = 0, fzz(P[1]) = 0, fyz(P[1]) = 0, f(P[2]) = 0, fx(P[2]) = 0, fy(P[2]) = 0, fz(P[2]) = 0, fxy(P[2]) = 0, fxz(P[2]) = 0, fxx(P[2]) = 0, fyy(P[2]) = 0, fzz(P[2]) = 0, fyz(P[2]) = 0, f(P[3]) = 0, fx(P[3]) = 0, fy(P[3]) = 0, fz(P[3]) = 0, fxy(P[3]) = 0, fxz(P[3]) = 0, fxx(P[3]) = 0, fyy(P[3]) = 0, fzz(P[3]) = 0, fyz(P[3]) = 0, f(P[4]) = 0, fx(P[4]) = 0, fy(P[4]) = 0, fz(P[4]) = 0, fxy(P[4]) = 0, fxz(P[4]) = 0, fxx(P[4]) = 0, fyy(P[4]) = 0, fzz(P[4]) = 0, fyz(P[4]) = 0, f(P[5]) = 0, fx(P[5]) = 0, fy(P[5]) = 0, fz(P[5]) = 0, fxy(P[5]) = 0, fxz(P[5]) = 0, fxx(P[5]) = 0, fyy(P[5]) = 0, fzz(P[5]) = 0, fyz(P[5]) = 0, f(P[6]) = 0, fx(P[6]) = 0, fy(P[6]) = 0, fz(P[6]) = 0, fxy(P[6]) = 0, fxz(P[6]) = 0, fxx(P[6]) = 0, fyy(P[6]) = 0, fzz(P[6]) = 0, fyz(P[6]) = 0, f(P[7]) = 0, fx(P[7]) = 0, fy(P[7]) = 0, fz(P[7]) = 0, fxy(P[7]) = 0, fxz(P[7]) = 0, fxx(P[7]) = 0, fyy(P[7]) = 0, fzz(P[7]) = 0, fyz(P[7]) = 0, f(P[8]) = 0, fx(P[8]) = 0, fy(P[8]) = 0, fz(P[8]) = 0, fxy(P[8]) = 0, fxz(P[8]) = 0, fxx(P[8]) = 0, fyy(P[8]) = 0, fzz(P[8]) = 0, fyz(P[8]) = 0, f(P[9]) = 0, fx(P[9]) = 0, fy(P[9]) = 0, fz(P[9]) = 0, fxy(P[9]) = 0, fxz(P[9]) = 0, fxx(P[9]) = 0, fyy(P[9]) = 0, fzz(P[9]) = 0, fyz(P[9]) = 0]:
var := [c[0, 0], c[0, 1], c[1, 0], c[0, 2], c[1, 1], c[2, 0], c[0, 3], c[1, 2], c[2, 1], c[3, 0], c[0, 4], c[1, 3], c[2, 2], c[3, 1], c[4, 0], c[0, 5], c[1, 4], c[2, 3], c[3, 2], c[4, 1], c[5, 0], c[0, 6], c[1, 5], c[2, 4], c[3, 3], c[4, 2], c[5, 1], c[6, 0], c[0, 7], c[1, 6], c[2, 5], c[3, 4], c[4, 3], c[5, 2], c[6, 1], c[7, 0], c[0, 8], c[1, 7], c[2, 6], c[3, 5], c[4, 4], c[5, 3], c[6, 2], c[7, 1], c[8, 0], c[0, 9], c[1, 8], c[2, 7], c[3, 6], c[4, 5], c[5, 4], c[6, 3], c[7, 2], c[8, 1], c[9, 0]]:
A, b := GenerateMatrix(sys, var):

Solving this with

simplify(LinearSolve(A, b))

Gives a rather nicely looking solution. But the calculation strongly depends on the form of s, t and the a_i.

For example if we instead define 

s:=t^3:

The computation takes much longer and the result doesn't take a particularly nice form. Similarly if we instead take

a_1 := -t: a_2 := -t^4: a_3 := -t^7:

the computation takes hours / days and the result looks rather ugly (huge coefficients). Yet both of these inputs are mathematically equivalent to the original one.

The thing is that I have similar systems of linear equations that I know must have solutions, but the solution vector that maple puts out has coefficients with thousands of digits (which after the above I suspect to be wrong). I know the systems are vastly overdetermined, but even removing all redundant equations does not solve the problen.

Is there a way to get the correct solutions with maple? Does anyone know whether a different program would handle this problem better?

How can I add legend to a multicolored histogram using display?

I want to make some equation and convert to LaTeX to have some Exercises "Solve the equation" 
My code:
restart; A := [1, 2, 3/2, 4, 5/9]; B := [2, 5, -7, 1, 8]; C := [-1, -2, -3, -4, -5/3]; for i to nops(A) do 'solve*the*equation'*A[i]*x^2+B[i]*x+C[i] = 0 end do
How can I get code in LaTeX, it's mean, I get "Solve the equation $x^2+2x-1=0$" and get roots (if have)

how to approximate this number to The nearest decimal number by maple

0.6364562590

a:=[1,2,3,4,5]:

if I want b to have all elements less than 4 why can't I just write

b:=a<4;

?