MaplePrimes Questions

Hi !

I want to solve several summations which at first glance seems very easy to me.

But I definitely hit a wall. I have Maple 2018 on Windows 10.

I'm not very familiar with the sumtools or Sumtools packages.

 I have attached a file that gives you an example summation and the

 solution I found and especially I show you the way that I obtained this solution.

  The big question is:

  Is there a way to transform this summation to arrive at my solution?

  Or . Can the result I obtained be demonstrated?

  Maple seems unable to solve this summation. Mathematica did no better.

  I know very well that this is more a question for mathematicians than for

Maple users. But when I look at the questions in Mapleprimes I see

although there are good mathematicians behind most of these questions.

Thank you in advance ! 

sum1.mw

hi 

hiiiiiiiiiii

i am working and modling on brushless motor for my project but when i run that i get this error and i can not fix that could you please help me. error is :

equation generation

(}),At offset 4370 in `:-2108.m`, unexpected DAG type: 0,125

every project  i run  has the same error 

Hi everyone...

How can I plot the below function: 

x^2+(y-x^(2/3))^2 = 1;

tnx...

Resistor grid of one ohm to make rubik cube of 3*4*5.
Resistance of red node to node is 

nx, ny, nz;

Ans := R3D;
Ans*Unit('ohm');
                            3, 4, 5

               1.211 Unit(Ω)

Tokoro.

grid cube electrical-engineering

R1 - R31 resistance is 17/11 ohm. (Top to bottom)

R1 - R2 resistance is 16273/25080 ohm. ( Each one element's node to node)

Can any one solve these Electric Circuit?

Tokoro.

Hi !

I just noticed a strange behavior of Maple with Greek letters. 
I have Maple 2017 and 2018 on Windows 10 .

Suppose you write a procedure that contains Greek letters.

If you run the procedure definition, the Greek letters are not displayed correctly. 
They will be displayed in words: alpha, beta, gamma,...
The procedure will still work.

Now close the file. Then open this file. Maple now shows you the procedure with the Greek letters correctly displayed.

I added a file as an example.
Maybe it's an annoying little problem known for a long time ? I don't know .
I have an old version of Maple V Release V (1997) which does not have this problem. 

Best regards !

alphabeta.mw

i want to find best equation with nonlinear fit or fit for my result
my first variable in column one with name h
 my second variable in column two with name d
 my result in the column 3

i just know that my ratio to b is exponential

Matrix(20, 3, [[70, 8, 8.468140006], [70, 10, 4.105515432], [70, 12, 2.36261199], [70, 14, 1.422093923], [70, 16, 0.9], [100, 8, 20.47249229], [100, 10, 9.618450629], [100, 12, 5.360869165], [100, 14, 3.399312905], [100, 16, 2.640399788], [130, 8, 35.90466304], [130, 10, 17.62958097], [130, 12, 9.828362586], [130, 14, 5.866863694], [130, 16, 3.799262645], [160, 8, 57.31814648], [160, 10, 34.49692774], [160, 12, 15.39340528], [160, 14, 9.991012951], [160, 16, 6.049343013]]);

how can i get best equation with ninlinearFit

thant you so much

 

i also show my result in below plot

I am using GenerateMatrix to construct a matrix out of a set of 6 equations with 6 variables.  The output of Generate Matrix is not sorted correctly.  Where am I going wrong? Is this a bug?

restart

NULL``

with(LinearAlgebra)

NULL

NULL

The command GenerateMatrix is not sorting my set of equations properly.

NULL

NULL

Define a set of 6 equations.

equation_set := [5964.000000-770.0000000*T__1+750.0000000*T__2 = 0, 20*T[1]-770.0000000*T[2]+750.0000000*T[3]+100.0000000 = 0, 20*T[2]-770.0000000*T[3]+750.0000000*T[4]+100.0000000 = 0, 20*T[3]-770.0000000*T[4]+750.0000000*T[5]+100.0000000 = 0, 20*T[4]-770.0000000*T[5]+750.0000000*T[6]+100.0000000 = 0, 5900.787944-770.0000000*T[6]+750.0000000*T[5] = 0]

[5964.000000-770.0000000*T__1+750.0000000*T__2 = 0, 20*T[1]-770.0000000*T[2]+750.0000000*T[3]+100.0000000 = 0, 20*T[2]-770.0000000*T[3]+750.0000000*T[4]+100.0000000 = 0, 20*T[3]-770.0000000*T[4]+750.0000000*T[5]+100.0000000 = 0, 20*T[4]-770.0000000*T[5]+750.0000000*T[6]+100.0000000 = 0, 5900.787944-770.0000000*T[6]+750.0000000*T[5] = 0]

(1)

NULL

NULL

NULL

This is what each one looks like individually.

equation_set[1]

5964.000000-770.0000000*T__1+750.0000000*T__2 = 0

(2)

equation_set[2]

20*T[1]-770.0000000*T[2]+750.0000000*T[3]+100.0000000 = 0

(3)

equation_set[3]

20*T[2]-770.0000000*T[3]+750.0000000*T[4]+100.0000000 = 0

(4)

equation_set[4]

20*T[3]-770.0000000*T[4]+750.0000000*T[5]+100.0000000 = 0

(5)

equation_set[5]

20*T[4]-770.0000000*T[5]+750.0000000*T[6]+100.0000000 = 0

(6)

equation_set[6]

5900.787944-770.0000000*T[6]+750.0000000*T[5] = 0

(7)

NULL

The variables used in the above set of equations.

variables_set := [T[1], T[2], T[3], T[4], T[5], T[6]]

[T[1], T[2], T[3], T[4], T[5], T[6]]

(8)

variables_set[1]

T[1]

(9)

A, b := GenerateMatrix(equation_set, variables_set)

Matrix(%id = 36893490238808803916), Vector[column](%id = 36893490238808803796)

(10)

This output seems wrong because a row of zeros appears in A``.  The first entry of the column vector contains the full equation. Thus, it seems GenerateMatrix didn't sort the set of equation properly.  I tried re-writing the  offending equation  as 5964.000000-770.0000000*T__1+750.0000000*T__2 = 0,but maple just changes it back on evaluation.NULL


 I think the output should look like:


A, b := Matrix(6, 6, {(1, 1) = -770.0000000, (1, 2) = 750.0000000, (1, 3) = 0, (1, 4) = 0, (1, 5) = 0, (1, 6) = 0, (2, 1) = 20, (2, 2) = -770.0000000, (2, 3) = 750.0000000, (2, 4) = 0, (2, 5) = 0, (2, 6) = 0, (3, 1) = 0, (3, 2) = 20, (3, 3) = -770.0000000, (3, 4) = 750.0000000, (3, 5) = 0, (3, 6) = 0, (4, 1) = 0, (4, 2) = 0, (4, 3) = 20, (4, 4) = -770.0000000, (4, 5) = 750.0000000, (4, 6) = 0, (5, 1) = 0, (5, 2) = 0, (5, 3) = 0, (5, 4) = 20, (5, 5) = -770.0000000, (5, 6) = 750.0000000, (6, 1) = 0, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 750.0000000, (6, 6) = -770.0000000}), Vector(6, {(1) = -5964.000000, (2) = -100.0000000, (3) = -100.0000000, (4) = -100.0000000, (5) = -100.0000000, (6) = -5900.787944})

NULL

I rename the matrix and column vector and use LinearSolve to find a solution for T.

AA := Matrix(6, 6, {(1, 1) = -770.0000000, (1, 2) = 750.0000000, (1, 3) = 0, (1, 4) = 0, (1, 5) = 0, (1, 6) = 0, (2, 1) = 20, (2, 2) = -770.0000000, (2, 3) = 750.0000000, (2, 4) = 0, (2, 5) = 0, (2, 6) = 0, (3, 1) = 0, (3, 2) = 20, (3, 3) = -770.0000000, (3, 4) = 750.0000000, (3, 5) = 0, (3, 6) = 0, (4, 1) = 0, (4, 2) = 0, (4, 3) = 20, (4, 4) = -770.0000000, (4, 5) = 750.0000000, (4, 6) = 0, (5, 1) = 0, (5, 2) = 0, (5, 3) = 0, (5, 4) = 20, (5, 5) = -770.0000000, (5, 6) = 750.0000000, (6, 1) = 0, (6, 2) = 0, (6, 3) = 0, (6, 4) = 0, (6, 5) = 750.0000000, (6, 6) = -770.0000000})

Matrix(%id = 36893490238866723772)

(11)

``

bb := Vector(6, {(1) = -5964.000000, (2) = -100.0000000, (3) = -100.0000000, (4) = -100.0000000, (5) = -100.0000000, (6) = -5900.787944})

Vector[column](%id = 36893490238885708252)

(12)

NULL

NULL

T := LinearSolve(AA, bb)

Vector[column](%id = 36893490238857651132)

(13)

NULL

Download GenerateMatrix_Improper_Sorting.mw

Hello

I want to declare 'd' as a constant.

Please tell me how to declare 'd' as a constant.

intersection de deux droites l1 et l2 telles que l1 sous forme parametrique est [57/5 + 20*t, -21/5 - 40*t, 20*t] et de la meme façon

 l2 [249/100 - 120*t, 471/100 - 80*t, 200*t]. t est le parametre  . maple donne pour l'intersection de l1 et l2 le point P de coordonnes

 [249/100, 471/100, 0] que je ne trouve pas .expliquez moi ce resultat et merci beaucoup.

I have a big matrix which is computed in a worksheet, now I have to use this matrix in another worksheet. Could you recommend some ways of healthy transferring of quantities between worksheets?

here is logical_circuit.msim

i cannot connect the output of the left two AndGates to the input of the right AndGate. They are both digital signal connectors, why cannot be connected?

with(plots);
with(LinearAlgebra);
A := Matrix([[2, 1, 0, 0, 3], [0, 2, 1, 0, 0], [0, 0, 2, 1, 0], [0, 0, 0, 2, 1], [0, 0, 0, 0, 2]]);
sparsematrixplot(A, matrixview, color = "Red", symbol = "cross");

How do I change the plot to show other symbols? Even though I write for example "cross" I still get the default box.

Also, is there a way in which I can let the color depend on the number in the matrix? Right now it just shows all non-zero entries.

restart:
digits := 20;
unprotect(D);
G := 0.04361098108*x^2 + 0.4810001561*x*y + 1.326278064*y^2 - 0.7320831383*x - 2.656083763*y + 1 = 0
f := (x, y) -> lhs(G);
coeffs(f(x, y));
A, B, C, D, E, F := coeffs(f(x, y));
A := coeff(f(x, y), x, 2);
B := coeff(coeff(f(x, y), x), y);
C := coeff(f(x, y), y, 2);
D := coeff(coeff(f(x, y), x, 1), y, 0);
E := coeff(coeff(f(x, y), y, 1), x, 0);
F := tcoeff(f(x, y));
expand(B^2 - ((4*A) . C));
                          digits := 20

   f := proc (x, y) options operator, arrow; lhs(G) end proc

  1, -0.7320831383, 1.326278064, 0.04361098108, 0.4810001561, 

    -2.656083763


A, B, C, D, E, F := 1, -0.7320831383, 1.326278064, 0.04361098108, 

  0.4810001561, -2.656083763


                       A := 0.04361098108

                       B := 0.4810001561

                        C := 1.326278064

                       D := -0.7320831383

                       E := -2.656083763

                             F := 1

                               0.


with(geometry):
_EnvHorizontalName := 'x': _EnvVerticalName := 'y':
conic(co,f(x,y),[x,y]):
detail(co);
                 /                            
   GeometryDetail\["name of the object", co], 
   ["form of the object", ellipse2d], 
   ["center", [1.212351672 ^(10, 10), -2.198412833 ^(10, 9)]], 
   ["foci", [[2.424703344 ^(10, 10), -4.396825668 ^(10, 9)], 
   [0.1787052775, 0.9855002601]]], 
   ["length of the major axis", 2.464245740 ^(10, 10)], 
   ["length of the minor axis", 66579.62094], 
   [                                               2
   ["equation of the ellipse", 1. + 0.04361098108 x 
                                      2                 
    + 0.4810001561 x y + 1.326278064 y  - 0.7320831383 x
                       ]\ 
    - 2.656083763 y = 0]/;
   "_noterminate";

G is a parabola with B^2-4*A*C=0 or an ellipse ? A =1 or F=1 ? Thank you for youy answer. 

I need the Infinitesimals(Lie group analysis) of the system of PDE. I have attached below the system of PDE in MAPLE given below.MAPLE_Help.mw

Thank you

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