Education

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Example. One of thousands.
The function of two variables.
Individual works for russian biology students.
I am interested in they reaction.
HTML: 01.zip 08.zip
Maple:

Being easy to use is nice, but being easy to learn with is better. Maple’s ease-of-use paradigm, captured in the phrases “Clickable Calculus” and “Clickable Math” provides a syntax-free way to use Maple. The learning curve is flattened. But making Maple easy to use to use badly in the classroom helps neither student nor instructor.

In the mid to late ‘80s,...

C6 Logic 2012 hits

May 09 2012 by Valery Cyboulko 110 Maple

2

4

education

Russian USE.
Download the archive of the html-manual: c6.zip
The main file: c6.html.
Online: http://webmath.narod.ru/do/c6.html

Russian USE.
Download the archive of the html-manual: c5.zip
The main file: c5.html.
Online: http://webmath.narod.ru/do/c5.html

Russian USE.
Download the archive of the html-manual: c4.zip
The main file: c4.html.
Online: http://webmath.narod.ru/do/c4.html

Russian USE.
Download the archive of the html-manual:c3.zip
The main file: c3.html.
Online: http://webmath.narod.ru/do/c3.html

In memory of a Friend. Maple 16 for Russian students.

260412.zip

Оформление - облегченное, чтобы работало на любом компьютере. Разархи и открыти файл ege.html. Неточности присутствуют, наверное. Поправим вместе.

Скачать решебник C1 (Тригонометрия) ЕГЭ сезона 2011/2012 в виде html-пособия: ...

I did not come across with a sorting algorithm animation that allows me to enter my own data, so I decided to write one in Maple.

In this worksheet, you can create an animation on sorting the integers that you have entered. If you let the worksheet to generate the data for you, you can specify the sortedness of the data. This feature allows you to visualize how some algorithms perform better or worse on data of a certain characteristic: The time complexity may not be...

 

with(numtheory):

f := proc (x) options operator, arrow; sum((-1)^n*(n^(1/n)-1), n = x .. infinity) end proc

proc (x) options operator, arrow; sum((-1)^n*(n^(1/n)-1), n = x .. infinity) end proc

 (1)

What are the quotients  ot the  continued fration of the sum of f(1)+f(2)+f(3)+f(4)+...

Here are the  quotients  of some partial sums.

``

cfrac(evalf(sum(f(x), x = 1 .. 2)), 'quotients')

[0, 2, 1, 1, 1, 21, 10, 4, 1, 4, 8, `...`]

 (2)

cfrac(evalf(sum(f(x), x = 1 .. 3)), 'quotients')

[0, 6, 1, 2, 3, 1, 1, 2, 3, 3, 24, `...`]

 (3)

cfrac(evalf(sum(f(x), x = 1 .. 4)), 'quotients')

[0, 2, 1, 2, 1, 4, 2, 1, 3, 1, 1, `...`]

 (4)

cfrac(evalf(sum(f(x), x = 1 .. 5)), 'quotients')

[0, 5, 1, 99, 1, 1, 1, 6, 1, 3, 1, `...`]

 (5)

cfrac(evalf(sum(f(x), x = 1 .. 6)), 'quotients')

[0, 2, 1, 6, 1, 2, 1, 2, 2, 1, 1, `...`]

 (6)

cfrac(evalf(sum(f(x), x = 1 .. 7)), 'quotients')

[0, 5, 1, 1, 142, 1, 1, 1, 1, 19, 1, `...`]

 (7)

cfrac(evalf(sum(f(x), x = 1 .. 8)), 'quotients')

[0, 2, 1, 47, 1, 1, 1, 1, 27, 4, 1, `...`]

 (8)

cfrac(evalf(sum(f(x), x = 1 .. 9)), 'quotients')

[0, 5, 5, 3, 1, 7, 1, 1, 1, 2, 1, `...`]

 (9)

cfrac(evalf(sum(f(x), x = 1 .. 100)), 'quotients')

[0, 3, 1, 1, 1, 11, 2, 2, 1, 1, 4, `...`]

 (10)

cfrac(evalf(sum(f(x), x = 1 .. 200)), 'quotients')

[0, 3, 1, 2, 1, 1, 1, 11, 3, 4, 6, `...`]

 (11)

cfrac(evalf(sum(f(x), x = 1 .. 400)), 'quotients')

[0, 3, 1, 3, 3, 3, 1, 18, 1, 2, 1, `...`]

 (12)

cfrac(evalf(sum(f(x), x = 1 .. 800)), 'quotients')

[0, 3, 1, 3, 1, 4, 16, 14, 3, 23, 2, `...`]

 (13)

cfrac(evalf(sum(f(x), x = 1 .. 1600)), 'quotients')

[0, 3, 1, 4, 7, 4, 436, 1, 1, 1, 2, `...`]

 (14)

``

Here are the quotients of the  continued fration  of the sum. 

cfrac(evalf(sum(f(x), x = 1 .. infinity)), 'quotients')

[0, 3, 1, 4, 1, 1, 1, 1, 1, 9, 1, `...`]

 (15)

With the exception of the leading 0, that is close to the integer squence of pi.

``evalf((65241/65251)*Pi)

3.141111191

 (16)

The exponents of 2 that sum the numerator and denominator, in the following way, of that multiple of pi give rise to the integer sequences {0,1,2,3,8,16},numbers such that floor[a(n)^2 / 7] is a square, and {0,2,3,4,8,16},{0,3} union powers of 2.

evalf((2^16-2^8-2^5-2^2-2-2^0)*Pi/(2^16-2^8-2^4-2^3-2^2-2^0))

3.141111191

 (17)

We can do the same thing for the first 20 quotients giving rise to the integer sequences {0,1,2,5,6,8,10,13,17,19,22,23,24,28,31} and {0,4,6,9,12, 14,15,16,18,22, 23,24,28,31}. What can be said of these sequences?

cfrac(evalf(sum(f(x), x = 1 .. infinity), 20), 20, 'quotients')``

[0, 3, 1, 4, 1, 1, 1, 1, 1, 9, 1, 3, 1, 2, 1, 1, 1, 5, 1, 3, 11, `...`]

 (18)

evalf((1849023129/1849306543)*Pi, 20)

3.1411111913121115131

 (19)

````

evalf((2^31-2^28-2^24-2^23-2^22-2^19-2^17-2^13-2^10-2^8-2^6-2^5-2^2-2-2^0)*Pi/(2^31-2^28-2^24-2^23-2^22-2^18-2^16-2^15-2^14-2^12-2^9-2^6-2^4-2^0), 20)

3.1411111913121115131

 (20)

``


 

NewtonBlackArea.mw

I have been working with Newton-Raphson fractals for some time.  Like others it was necessary to deal with the "black areas" many times, so I performed some additional analysis and present some of these results here.  This will allow others to stop coloring these areas black and allow visualization of the structure inside these areas.  It will also help demonstrate...

2012.zip

Ukraine. External independent evaluation (ZNO) in 2012. Trial in Maple 16. 

html 3-interactive in Ukrainian: zno.zip

link: http://webmath.narod.ru/zno/pro.html

Mechanics of Materials Toolbox Screencasts:

http://youtu.be/czz_uw0918E

prototypes.zip

HTML-Navigator of the tasks' prototypes  of the unified state examination in Russia 2012.
Supplied with the links to the Maple-solutions of 2011.

Online: http://webmath.exponenta.ru/beg/index.html

ZNO 2012

January 27 2012 by Valery Cyboulko 110 Maple

0

0

academic maple web

Ukaine-2012. External independent evaluation. A trial version in Maple, by Maple.
HTML, Java-Interactive:
http://webmath.exponenta.ru/zno_11/ranok/z.html
Maple:2012_ranok_ru_bez.mw

The cost of some mathematical sites (estimated bizinformation.org):
 8.000.000 $ - wolfram.com
   372.456 $ - webmath.exponenta.ru (Russian Maple in education)
   292.301 $ - maplesoft.com

    82.342 $ - exponenta.ru
    61.278 $ - webmath.ru
    54.895 $ - math.ege
    43.302 $ - univ.kiev.ua (Kiev National University)

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