Markiyan Hirnyk

## 7163 Reputation

11 years, 162 days

## How much is "Vanity Fair"?...

Maple

What is the total number of the characters in "Vanity Fair" by William Thackeray?
How to determine it with Maple, making use of StringTools and EssayTools? I think an electronic version of this novel is free.
AFAIK, there are about 600 personages in "And Quiet Flows the Don" by Mikhail Sholokhov.

PS. It happened to me to collaborate with Dr. I. Kulchytskyi on text analysis, but the asked problem is new for me.

PPS. Here is a link to the plain text.

`Import("http://www.gutenberg.org/cache/epub/599/pg599.txt");`

## How to find triple integral?...

Maple 2016

How to find the integral of  over the part of the unit ball  centered at the origin which lies in the positive octant  ? Numeric calculations suggest .

## How to find double integral?...

Maple 2016

How to find the double integral of  over the disk of radius  which is centered at the origin?

Here is my try

```restart; evalf(VectorCalculus:-int(sin(x^2)*cos(y^2), [x, y] = Circle(`<,>`(0, 0), 1), inert), 15);
0.722091449378409
identify(%);
0.722091449378409
```

## How to simplify this hypergeometric func...

Maple 2016

It is suggested

`hypergeom([1/3, 2/3], [3/2], (27/4)*z^2*(1-z)) = 1/z`

if z > 1. Here is my try to prove that with Maple:

 (1)

 (2)

 (3)

## Want for execution...

Maple 2016

Can somebody execute this code on a powerful comp and report the result in MaplePrimes? That would be kind of her/him.

 RealDomain:-solve(a^2+b^2+c^2+a*b+a*c+b*c-  (a+b-c)*sqrt(2*a*b+a*c+b*c)-(a+c-b)*sqrt(a*b+2*a*c+b*c)-(b+c-a)*sqrt(a*b+a*c+2*b*c));