"MATHEMATICA"

, , - .

NEW



:
! "MATHEMATICA" . : , , , , (18-50). Minsk, Belarus. Research paper. Agreement.

BIBLIOTEKA.BY HIT.BY - KAHANNE.COM FUT.BY
 Orphus

66 24
(): • : • :


. . : , ,

E-mail: hakimova@bug.ieml.ru

_____________________________________

- . - , , , "Mathematica".

: - , , , "Mathematica".

_____________________________________

- , . . , .

- . , , . , .

? () - " , , ( , , , , , , , , )" [1, . 12].

. , . ( , . .), (, . .) .

. () - , () , , , . , , .

"Mathematica". , - ,  ( !) . "Mathematica" , , , , , . , . , , , . - . , , , .

"Mathematica", , - .

- . " - , , ." [2, . 170].

" - , ... ( ) . : , , , , , ." [2, . 186].

x = (x1, x2, ..., xn), f(x) = f (x1, x2, ..., xn), ( ) , x G.

, :

) f(x) x1, x2, ..., xn;

) G .

, , "Mathematica" .

. - . 1 , 2 1 , - 3,5 , 0,5 1 . 350 , 240 150 . , , , 10 , - 20 . , 60 .

. - . , , , f(x) = 10x1 + 20x2 .

( ) x1 + 3,5x2 ≤ 350. ( ) 2x1 + 0,5x2 ≤ 240. ( ) x + x2 ≤ 150. ( ) x2 ≥ 60. x (x1 ≥ 0).

.

: f(x) = 10x1 + 20x2.

:

. , "Mathematica".

.

:

1) ;

2) ;

3) ;

4) .

:

Show [RegionPlot [x1 + 3,5x2 ≤ 350 & 2x1 + 0,5x2 ≤ 240 & x1 + x2 ≤ 150 & x2 ≥ 60 & x1 ≥ 0, {x1, 0,150}, {x2, 0, 150}, AspectRatio → Automatic], ContourPlot [10x1 + 20x2, {x1, 0, 150}, {x2, 0, 150}, Contours → {1000, 1500, 2000, 2500}, ContourShading → False], AspectRatio → Automatic, Axes → Automatic].

Region-Plot , , (1).

a: 10x1 + 20x2 = a. , , .

ContourPlot , a: a = 1000, a2 = 1500, a3 = 2000, a4 = 2500.

, , 2500.

Maximize :

Maximize [{F[x1, x2], con1, con2, con3, con4, con5}, {x1, x2}]].

Maximize : F[x1, x2] = 10x1 + 20x2, , con1 = x + 3,5x2 ≤ 350, con2 = 2x1 + 0,5x2 ≤ 240, con3 = x1 + x2 ≤ 150, con4 = x2 ≥ 60, con5 = x1 ≥ 0 .

: {2300, {x1 → 70, x2 → 80}}.

.

2300 70 80 .

, "Mathematica" . , , . , .

, , . , , (. ). , "Mathematica" , , , .

1. : -. . / .-. . . , . . , . . , . . . - : 2006.

2. . . - : . - 5- ., . . - .: , 2003.

USE OF MATHEMATICS COMPUTER SYSTEM "MATEMATICA" IN REMOTE TRAINING TO MATHEMATICS AT HIGHER SCHOOLS OF ECONOMIC PROFILE

A.A. Khakimova

head of the Bugulma Centre of Remote Training of the Institute of Economy, Management and Law, post-graduate student of the Elabuga Pedagogical Institute

The article is devoted to problem of information communication technologies use in remote training to mathematical disciplines of economic profile students. Author offers to apply mathematics computer system "Matematica" as one of means of information communication technologies, and as environment for preparation and use of pedagogical software products intended for training to mathematics.

Keywords: information communication technologies, mathematical programming, problem of linear programming, mathematics computer system "Matematica".


22 2014




? CTRL+ENTER!

. . • (): LIBRARY.BY : , 9, 2010, C. 21-24

?

LIBRARY.BY+Google

?

LIBRARY.BY:

...

LIBRARY.BY


! LIBRARY.BY , , .