## How to Use Nonexecutable math in documents.?...

The attached worksheet is a stripped down version of some notes I am creating concerning the solution of vector equations in geometric algebra.  For the purposes of explanation it is best to show the math in its conventional typeset form before showing how to solve the equations in maple. The non-excutable math is in the text which is contained in a paragraph inserted before the execution group. In the first instance, the typesetting engine seems content to leave the text alone, but in the second case (which I created in the same way) it insists on parsing the equations and generating errors. I have tried repeatedly to make the second set of equations non-executable (since in maple terms they are nonsense) to no avail.
Can anyone suggest how I can use maple's text features to make the explanatory text inert.

Note that I have included the calls to my geometric algebra module in case they have some relevance to the problem, but they will not execute without the module.

Sample worksheet:  nonexecmatherror.mw

## How do I search all worksheet files in a folder fo...

After using Maple for about a year now, I have quite a few worksheets and documents that I have created.  Often I would like to use code that I know I wrote in a previous document but I don't remember which file that was in.  It appears that those files are in a binary format.

Is there a Maple search utility or another way that would allow me to search a group of Mapele files for text?

Thanks,

David

## How to extract an operator of a given form?...

Let expr defined this way

```expr := piecewise(x(t)<0, -1, x(t)<1, 0, 1) + f(t) + piecewise(t<0, 0, t<1, 1, 0) + x(t)*piecewise(t<0, 1, t<1, 0, 1) + a*piecewise(t<0, 3, t<1, -1, 2)
```

How can I extract all the operators which contain a piecewise function of  t alone (the three bold operators in the expression above)?

TIA

## How to use Edit Code Dragged?...

I'm looking for a simple example on how to use the Edit Code Dragged (event), in a plot (embedded component).

I couldn't find it in the Maple Documentation of elsewhere.

Thanks,
Jos

## How far can Maple go, in terms of displaying Ferma...

Hi all,

Wrote some Maple code, and want to share.

I put less than eight hours into this exploration.

I have been running a computer to find Fermat factors for over ten years now.  Want support.

This is an exploration in some mostly composite whole numbers.

also see

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/2_to_the_exponent_p_3.mw .

Have a look.

Regards

Matt

## "how to solve non linear differential equation in ...

ff := dsolve({eq1, Vt(0)=0}, Vt(t), type=numeric, method=classical, start=0, stepsize=.00001);

this is a old syntax of maple 5, with maple 2017 version it is not working, is it possible to solve non linear equatins with maple

## Error attempting to install Physics Package Update...

When I click on the "install" option for the update to the Physics Package, get the following error message:

Fetching package "Physics Updates" from MapleCloud...
ID: 5137472255164416
Version: 988
URL: https://maple.cloud

An error occurred, the package was not installed:

## 3-D Workspace: What does "unlayed out view" mean...

The 3-D Workspace of the stuart platfrom example

displays as follows. Clicking on the central object I get

Q1: What does "Unlayed out view mean"?

Q2: What is actually displayed in the center?

Q3: Why is only one leg shown in instead of 6?

I would really appreciate more insight into the 3-D Workspace. I use it to inspect structural integrity of models and assembly errors, but I am often lost by its behavior.

Thank you!

(I have tried to work it out myself with online resources, Maples help system and MapleSim user guide.)

## Error, (in SumTools:-DefiniteSum:-ClosedForm) nume...

In Maple 2021.1

```restart;
int(cos(3*x)/(-(-1+8*cos(x)^2)^(1/2)+(3*cos(x)^2-sin(x)^2)^(1/2)),x)
```

gives

Error, (in SumTools:-DefiniteSum:-ClosedForm) numeric exception: division by zero

But in Maple 2020.2 it works OK giving an answer. (A very long one)

```3/4*arcsin(2/3*sin(x)*3^(1/2))-3/4*arctan(sin(x)/(-1+4*cos(x)^2)^(1/2))-3/4*arctan(sin(x)/(-1+8*cos(x)^2)^(1/2
))+5/8*arcsin(2/7*sin(x)*14^(1/2))*2^(1/2)-1/2*sin(x)*(-1+4*cos(x)^2)^(1/2)-1/2*sin(x)*(-1+8*cos(x)^2)^(1/2)```

Is this a known issue? I know Maple int has went some changes and improvements in Maple 2021 from the release notes. May be this was caused by some of these changes?

https://www.maplesoft.com/products/maple/new_features/

• Integration has been enhanced with improved algorithms for indefinite integration, and the ability to easily specify which integration method should be used and to compare the results from different methods."

Maple 2021.1 on windows 10

update July 2, 2021

These are additional failed integration in 2021.1 that throw exceptions now. no errors in 2020.2

```#427
int(cos(3*x)/(-(-1+8*cos(x)^2)^(1/2)+(3*cos(x)^2-sin(x)^2)^(1/2)),x)

#533 #no error in Maple 2020, it does not evaluate there. But no error
int((-3+exp(7*x))^(2/3)/exp(2*x),x)

#26/11 #no error in Maple 2020, it does not evaluate there. But no error
int((b*x+(b^2*x^2+a)^(1/2))^(1/2)/(b^2*x^2+a)^(1/2),x)
```

## form of primes greater than four...

Hi all,

Do some of you know the form of all primes greater than five?

Is it 6*p +/- 1?

Maple Worksheet - Error

et/convert/                                  Maple_prime_expository_number_one_for_sharing.mw .

Regards,

Matt

## Finding a conic tangents to 3 sites of a triangle ...

We consider a triangle ABC, its circumscribed circle (O), of radius R, its inscribed circle (I) of centre I. We designate by α, β, γ the points of contact of BC, CA, AB with the circle (I), by A', B', C' the points of meeting other than A, B, C, of AI, BI, CI with the circle (O), by the media of BC, CA, AB.
.Establish that there is a conic (E), focus I, tangent to βγ, γα, αβ.
My code :

restart;
with(geometry);
with(plots); _local(gamma);
_EnvHorizontalName := x; _EnvVerticalName := y;
alias(coor = coordinates);
point(A, -5, -5); point(B, 7, -1); point(C, 1, 5);
triangle(ABC, [A, B, C]); circumcircle(_O, ABC, 'centername' = OO); incircle(_I, ABC, 'centername' = Io);
line(lBC, [B, C]); sol := solve({Equation(_I), Equation(lBC)}, {x, y}); point(alpha, subs(sol, x), subs(sol, y));
line(lCA, [C, A]); sol := solve({Equation(_I), Equation(lCA)}, {x, y}); point(beta, subs(sol, x), subs(sol, y));
line(lAB, [A, B]); sol := solve({Equation(_I), Equation(lAB)}, {x, y}); point(gamma, subs(sol, x), subs(sol, y));
line(lAO, [A, OO]); intersection(Ap, lAO, lBC);
line(lBO, [B, OO]); intersection(Bp, lBO, lCA);
line(lCO, [C, OO]); intersection(Cp, lCO, lAB);
midpoint(l, B, C); midpoint(m, A, C); midpoint(n, A, B);
triangle(T, [alpha, beta, gamma]);
dr := draw([ABC(color = blue), _O(color = red), _I(color = magenta), lAO(color = black), lBO(color = black), lCO(color = black), T(color = red), alpha, beta, gamma, Ap, Bp, Cp, l, m, n], printtext = true);
display([dr], axes = normal, scaling = constrained, size = [800, 800]);
How to find the Equation of (E); Thank you.

## plots showing sin(30°) without italics?...

The command

plots[textplot]({[4.2,1.9,typeset(sin(30°))]},
symbol=point,color=black,font=["Arial","Bold",25]);

will output

Can we have the number 30 in a non-italic format?
Thank you!
mapleatha

## Why is the minus sign so weak even in the bold fon...

Why is the minus sign so weak even in the bold font case? My students sometimes miss it in online tests.
How do we make the minus sign bolder?
Thank you!

mapleatha

## Two questions about Logic package and a strange re...

Hi,

First question
Let P1 the logical proposition

```restart
with(Logic):
local O
P1 := (&not O) &and (&not C) &implies (&not Q);
```

Is it possible to obtain its contraposition P2  in a form that contains &implies?

```# P2 := (Q) &implies &not ((&not O) &and (&not C));
```

Second question
Why does the modulo 2 canonical form of proposition P5 above contains "1" "plus" other terms:
(if 1 is present this means 1 + something = 1 and then that P5 is a tautology, which is obviously wrong as Tautology(P5) shows)

```restart
with(Logic):
local O
P1 := (&not O) &and (&not C) &implies (&not Q);-
P2 := (Q) &implies &not ((&not O) &and (&not C));
P3 := op(1, P2) &and (&not C);
P4 := op(2, P2) &and (&not C);
P5 := P3 &implies P4:

Canonicalize(P5, {O, C, Q}, form=MOD2)

C O Q + C Q + O Q + Q + 1

```

Verificaion of what the modulo 2 canonical form of a proposition including an "addititive" tautology is

```T := O &or (&not O):
Canonicalize(T, {O}, form=MOD2);
Canonicalize(T &or S, {O, S}, form=MOD2);
1
1
```

Is it that I missed something or is iot a bug?

Watchout: this result has been obtained with Maple 2015.2

TIA

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