## Solving systems of equations with "or" logical con...

Could anyone please tell me how to solve the following system of equations and inequalities numerically in Maple:

{x + y = 2 and y = 1 and x > 0} or {x^2 = 4 and x < 0 and y = 0}?

By now I have been using solve() function in similar cases, but did not manage to adopt it for the or logical connector.

Solving the two cases separately obviously works here, but does not help in the example, for which I need this,

## Basins of attraction...

Hi! I'm trying to draw the basins of attraction for Newton's method with f(z) = z^3 - 1 in three colors, just like the pictures on the links below:

https://i.stack.imgur.com/0wHfa.jpg

or

http://dept.cs.williams.edu/~heeringa/classes/cs135/s15/labs/lab3/

Can this be done? Thanks in advance,

RM

## intsolve error for Abel integral equation...

The Abel integral equation of the form

g(x) =  Int( f(y) / (x-y)^alpha, y = 0 .. x ) assuming alpha>0, alpha<1;

is linear and has a well known explicit solution for f(x).

It is a particular form of Volterra equation of the first kind.

It occurs in many problems of physics with alpha = 1/2.

However intsolve gives an error message:

> eq := g(x) =  Int(f(y)/(x-y)^alpha, y = 0 .. x) assuming alpha>0, alpha<1

> intsolve(eq, f(x));
Error, (in intsolve) numeric exception: division by zero

Replacing (x-y)^alpha by sqrt(x-y) gives the same error message.

 (1)

 (2)

 (3)

 (4)

 (5)

 (6)

## Monotone_class_generated_by_set...

Dear all

I have a set of three element, I want to apply each step of the definition of monotone class generated by a set to obtain the element of the monotone class generated by a given set.

The definition and condition of monotone class is added in maple worksheet.

I hope find some steps ( using maple) that will be applied later to other problem.

Monotone_class.mw

thanks

## I cannot load student packages...

windows 11 maple 2020 I can load other packages but cannot load the student packages

## Axis and focus of a parabola ...

How to find the axis and focus of a parabola whose equation we know ? Thank you.

## DeepLearning Save/Restore in Win 10 64-Bit...

Session Save doesnt work:

DeepLearning:-Save("model.ckpt");
Error, (in DeepLearning:-Save) format not supported

DeepLearning:-Save("model.h5");
Error, (in DeepLearning:-Save) format not supported

DeepLearning:-Save("model.keras");
Error, (in DeepLearning:-Save) format not supported

Which format is supported?

## Are there two vectors a and b with integer coordin...

With two vectors a and b, we know that
Norm(CrossProduct(a, b)) = Norm(a)* Norm(b) * sin(a,b).
I tried with a := <1, 2, -2>; b := <2, 10, 11>;

Note that a perpendicular to b and

Norm(CrossProduct(a, b)) = Norm(a)* Norm(b)

I tried

restart;
with(VectorCalculus);
SetCoordinates(cartesian[x, y, z]);
a := <1, 2, -2>;
b := <2, 10, 11>;
Norm(a);
Norm(b);
v := CrossProduct(a, b);
Norm(v);

Are there two vectors a and b with integer coordinates and  not perpendicular,  so that Norm(a), Norm(b), Norm(CrossProduct(a, b)) are interger numbers satisfying
Norm(CrossProduct(a, b)) = Norm(a)* Norm(b) * sin(a,b).

## Solve for variable in compound interest formula....

Hello!

I am trying to isolate each variable in this equation.I get a weird answer when I solve for n in this equation. I do know it is possible to isolate n in this equation. You might have to use/apply the Lambert Series identies to isolate it. Any help/insight would be appreciated.

Attached is a picture of the equation.

## where can I find a maple udf file for notepad++ ?...

For syntax highlighting etc of Maple programs

## Error, (in IntegrationTools:-Indefinite:-Algebraic...

Why int gives this error? Is this a known problem?

Update

fyi, This is reported to Maplesoft.

Here is updated worksheet. The int() command does not generate the error the second time it used, but generates the error the very first time used. Hopefully will be fixed in 2022 Maple.

 > interface(version);

 > restart;

Example 1

 > expr:=(7*x - 3 + sqrt(x^2 + (x^3*(x - 1)^2)^(1/3) - x) + sqrt(-2*((-x^2 + x + (x^3*(x - 1)^2)^(1/3)/2)*sqrt(x^2 + (x^3*(x - 1)^2)^(1/3) - x) + x^2*(x - 1))/sqrt(x^2 + (x^3*(x - 1)^2)^(1/3) - x)))/(12*x*(x - 1));

 > int(expr,x)

 > int(expr,x)

## sigma algebra generated by set using maple...

Dear all

I can I obtain the sigma-algebra generated by a given set.

sigma_algebra.mw

thanks