Работа в системе Eureka

5) ??? ?????? ???????????? ?????; 7) ???? ????????? ????? ???? ?????: ????, ?????? ??????(????? ?????? ?????),??????????????????????.???? ???????? ?? ???
IBM PC XT ?AT ? ????????? ? ?????? ???????? 360 ???. ???? ??????? ? ?? ?? ???????? ??????, ???
??????????????????? ???? ???. ??? ????? ???? ???? ?????? ??????? ???? ??? ?????? ???????
??? ??: Solution - ?? ??? ??????
?????????????????? ????????,?????? - ??????????????? ????? ??.
- 2 - ? ??????? ???? ???????? ????????? Edit - ??????? ???? ??? Options - ??????????? ???? ??? ?? ????? ????????? ?????? ????? (hot keys). Ee
????? ??????? ???????? ??? ??? ???????????????? ??? ?????? ???? ???????.? ?????? ??????? ????????? F5 -
Zoom - ????? ????? ?? ? ?? ??? ??? ???? ??(??????????? ? ????
????; SCROOL - Size/move - ???????????????
??. Esc - ???
????(?????????????); ???? ????Enter ????? ???? ? ????? ????: Change dir - ????????????;
??????????? ??? ????Enter, ? ? ???? ??? ??????? ??? ???? ???? ??????? ????? ????Solve. ??? ??
????????? ??? ???? ?????? Esc (?? ????? ????? ??? ??) ????????????? Solve,???????? ? ?? ???? ????Enter. ????????
??? ??? ??????? ?????? ? ???? ????????. ?????????? ???? ???????? ???????????? Solution. Find other -
??????????? (?.? ?????? ??? - 4 -
? ?? ????? ??? ?? ????? ???
??? ???? ?? ?????? ??? ??? ??????? ??????? ??? ?????.);
????? ?? ????? ????? ???? ?? ??? ????? ? ???????? ?????. ???? ???? ??????? ( Report ) ????? ?????????: Output - ?????? ??? ??? (???, ????; Capture - ??? ??? ??? eureka.log (
?????? ????? ???????? ?????? ??
?????? ON, ???OFF); ?????????? ??????? (?? ????????
?????Enter) ??????? ?? ???????- Graph. ? ?????? ???? ??????????- Function. ? ?????? ?????? ??? ???? ????
???????(???? y(x) ??ab) ?????Enter. ??????????? ??? ?????????????????(???? sin(x)+x^2) ?????Enter. ??? ???
?????????????? ??????- Plot. ? ?????? ??? ???? ??? ????? ????? ?????????Enter. ??????????? ??
?????????????????Enter. ? ????? ?? ??????????? ? ????????? ??,????? ???, ?????????????????? ?????? ??? F5, ? ???
?????? ? ?? ??? ????? ???? ???? ????? ????F5 ???? ??????? ???? ????????????? ? ???????? ??????? ????????? ??????? ?? ??? ????? ??????? ?? ???F5 ?? ??? ????F4. ?? ??? ?? ?? ???????? ????
????????????? ???? ???? ????? ??? F7. ???? ??? Edit. ???????????????????????? ????(????:
p(x)=deriv(deriv(5*cos(x),x),x) ?????? ????? ??? ?? ??????????????Solve. ??? ??, ????????? ??? ?????? ??????? ??? ??
Graph. ? ?????? ???? ??????????Plot. ?? ???????? ??, ??????????????? (? ????????? ??? Edit) ?? ????? ???? ???
??????????? ????? ???? ?? ?? ???? ????? ???? ???? Enter. ??? ??????? ? ? ????, ????1-? ????????????????
Plot. ???????? ???????????? ??????? ????(? ????????? ??? Edit), ? ?????:
?????? Edit, ???? ??? ?? (??????????????? ? ??????), ??????? ???Solve ????????? ??????? ????. - 6 - ?????? ?? ??? ? ??? ???????????? ???? ?? ???????
???? ?????????? ??? ?,????? ??? Plot ??????? ???List. ?? ???Eureka ????????: ??? ??????????, ??????? ???????
???????????? ???? ???? Variables - ????? ???? ????? ??????? ?
????;
accuracy - ???????????????;
casefold [yes/no] - ? ????? yes ???? ????? ? ????? ???? ??? ???
?? ?????????? substlevel=n - ??? ????? ???????
?????,??? ?????? ????? ??? ?????????? ??? ???. ?? n = 0 ??? ??????? ?
???????. ????????? ? n: 0,1,2,....,6. ??????? ?? ???????? ??? ?????? ?
???? ?????? ?? ?, ? ?????? n ?????????? ??? ???????? ????. ??, ? ??? N14 ??
???????? ??? ??????? ????? ??? ??? ???? ???? $ substlevel=2 . ??? ??????? ?????????? ??? ??????????? ?????? ????
??? ???, ???????? ???? F1 (?? Help).
Directories - ?????????? (???? ???????? ? ???????? ???? ??????? ???
??? ??????????? ??????? ? ?????????????????.); - 7 -
Open - ????????? ?????????; Stack -
???????? ?? ? ???; ????? ????? - ?????? ?????????? ? 40 ????,? ??10 ?????? ????? -
????????? ???? ???? ? ???200; ??
??????????(? ? ? Z) ????? (? ?? z) ??????????????: ???? ????? ?????????????? ????
???????? ? ??? ???. - ????? - 8 - ^ ????? ????? < ???; > ???; <= ??? ????? >= ???
????? Eureka ???????re(z) ?
im(z), ??????? ??????? ???? ????????? ???z=x+iy. ??? ?????????????????? ??? ????? $ complex=yes
abs(z) - ??? ; exp(z) - ????? e=2,71828... ?????z;floor(x) - ??? ??? ?
ln(z) - ????? ?????? ????? z; log10(z) - ????? ?????? ????? z;sqrt(z) - ????? ??? ??????? z;
pos(x) - ????? ????gt;0 ?0 ?????????; sgn(x) - ?????: 1 ???gt;0,-1 ???lt;0 ?0 ??x=0;
atan2(y,x) - ????? ?????? ? ?????? x ? ? (?? ?????? ????? ???????,??? ???? (0,0) ? (??); polar(x,y)
- ??????? ????? ??????????; sin(z), cos(z), tan(z) - ?????: ???, ???? ????? z; sinh(z),
cosh(z),tanh(z) -????? ???????? ???, ???? ? ???? z. fact(n) - ????? ?????
???n; sum(f(i),i,n,k) - ????? ???f(i) ??????i, ?????? ? n ?
k. ? ????Eureka ??????
????????????? ???????????????????? ?????. ???? ?????? ????? ???: ?? ????(???
?????) := ????? ------------------------------------
-------
????? ??? Edit: exp(x^2)-5*x+1=0. ?????? ???? ????????? " ???? ??? " ( ??? ?? ??? ?????? " ??? ???
").
Variables Values ?? ??? ????? ??? ???
???????????? ???? ?? ??????? Edit: (exp(x^2)-5*x+1)/(x-1.3086594)=0 ???? ??? ???. ???? ???
??????????????? ??? ?? Find other ?????? radius. -
----------- x_56_0-x_54_0-
x_53_0+3x_52_0-1=0. ?? ????? ????, ???? ??????? ?????????? ???? ????? Eureka ????? ?????? ????: $ settings ; ???????????? accuracy=1.0e-9 ;
?????? ???? ????? . #
Real part Imaginary part 2 -
0.54737816 0.0000000 4 0.94982970 -
0.6507578 6 -1.0251783 -
0.9608054 ??? ????? ???
????????? ????. ????? ???, ??? ?????????????? ?? ??? ??????? Edit ????????: z1=a^6-a^4-
a^3+3*a^2-1
z3=c*c*c*c*c*c-c*c*c*c-c*c*c+3*c*c-1 ??? ??? ????? ??? ?????? ???? ?????? ??? ?????? ?????. ? ????? ??? ?????? ????? ???????
????? ????Eureka ??????? ? ????? ?????. ??? Eureka ??? ????? " Error 5: too many formulas ",
????? ???? ????????, ????? ?? ?????????. ------------- ????? ?????? ???? f(x)=3lg(x)-_7?_0(x/2)+x_52
_0????0,5. - 11 -
?.? ?????Eureka ???? ???? ???? ??????? ??????????, ? ????????? ???? ???????? ??????
lg(x)=ln(x)/ln(10). z=deriv(f(x),x) Variables
Values x = 0.50000000
????4 lg(1+x) (1+x_52) z=integ(f(x),x,0,1) Variables
Values z = 0.11821420 _7p _72_0 _7\\\\\\\\\\\\\\\\\\\\\\\\\\\\ _0 dx =_7
\\\ _50
- 12 - t2=-0.45 :
i2=integ(f(t2,x),x,0,3.1415926) t4=0.45 :
i4=integ(f(t4,x),x,0,3.1415926) ??? ??? ???? ??? Solution: ????6
Eureka ????? ??? ??? ??? ??????????????? ???? ????: $min ?$max. ?? ??? ?? ???? ??????????????, ? ??
????? ??, ???? ??? ??????????? ??? ???????? ? ??? ???? ??? ????? ?????? ? ?????? ?? ??? ?????? ? ????????
??????????????????? ?????????, ???? ???? Eureka ? ????? ???? ???? ? ??? ?????? ???????? ? ??? ????? ???? ????f(x)=5xe_5(-
x/2)_0(2+sin(3x)), ??? ? ??? ?? ??? 10.
- 13 - $ max (T) V(x)>10 x =
2.5805009 ----------- ???????? Edit: F(x,y,z) = x^2 +y^2 +z^2 -1 ??? ??? ????
??? Solution: x
= 6.1257e-13 z = -
5.9622e-14 ----------- ???? ????? ?? ??? ? ???? a. ?? ???????
????????? ???? ? ??? ??? ?????? ??? ???? ? ???? c????? ? ??. ??????? ?? ??????????????, ??????????????? ??????
??????? ??a=6. - 14 -
$ settings $ Max(Y)
Y=G(x) : 0<x<a/2
a = 6.0000000 Y =
16.0000000 -----------_7 _72 _0 2x + 3y + z =
11 ????????????????? _7 _0 _7* _0x + y + z = 4
_72_0 7x - 2y - 3z = -37 ????_7 9 Variables
Values y =
5.000000
------------ ????? ???????? ????? A= . ???? Eureka ? ????????????? ?? ????? ???? ???? ???? ?? ????, ?? A*A_5-
1_0=E. ?.? : * =
?? *
= ? * = ????????
Edit: Variables
Values b = -
7.000000 d =
5.000000 ------------ _72_0 _7 _0e_52x_0 +
sin(3x) - y_52_0 = 0 ????????????? ????? _7*
_72_0 x_53_0 + 7*y + tg(5*x_52_0) = 0
_79
Variables Values y =
0.32744950 ------------ +--------------------------------------
---------------------+ +-----+---
--+-----+-----+-----+-----+-----+-----+-----+-----
+-----------------------------
------------------------------+ ????? Hb(e) ??e=25 ?? ????? ?????? Hb(e) = 118 +
a*e^b Hb(15) = 152 : Hb(20) =
163 Hb(40) = 194 : Hb(50) =
206 Variables
Values b =
0.70583936 y =
169.21009 - 17 -
------------ +----
-+-------+-------+-------+-------+------- +----------------------------------
-----------+ ???
??????? ?????? ??? ?? ???? ? ????? ?????? ???? ????? ????? ??? ???????? ??????? ? ????Eureka ?????? ?????
???????. L(x) = a*x^4 + b*x^3 + c*x^2
+ d*x + e x1 = 7.9 : y1 = L(x1) Solution b
= -1.93250000 d = -
51.97750000 x =
6.90000000 y =
8.36504340 . ???? ?? ??????????? ????? _7*_0 -x +
5y + 4z - v = -14 _79_0 1,5x + 0,5y + z -7*v = -6,5 ????2 ??? ???????? ????? ????A: ----------- +-----------
---------------------------------------+ x 1 1,5 2 2,5 3 4 5
+----------------------------
----------------------+ x = 1,5;3
?5.
-----------
+-------------------------------------------------
+ x 5 6 7 8 9 10
+---------------------------
----------------------+ x = 6;8
?10. ----------- - 20 -
x_41_0+ _7\\\_0 ,
x_41_0+ _7\\\\_0 , x_41_0+ _7\\\\_0 , x_41_0+ _7\\\\_0 , x_41_0+ _7\\\\_0
. h = 0,005 x_41_0 =
1,335
+-----+-------+-------+-------
+-------+-------+------- f(x) 4,162 4,256 4,353 4,455 4,562 4,673
----------- ??? x, ?? ???? ???? ????y=f(x) ???? ????
???? ??? ????
+---------+-------+-------+------
-+-------+-------+------- y=f(x) 4,162 4,256 4,353 4,455 4,562 4,673
----------- _72_0
__________________________ dx = 2 . _71_0 _7?_0 1 - 2
a cos x + a_52 ????? ????????? a = -0,9;-
0,45;0;0,45;0,9. -----------
a a_52 _72_0 x_53_0 sin(x_52_0) dx =
_7\\\_0_72_0 x sin(x) dx _72_0 2 _72 _50_0 _50 _7\\\\\\\_0 1
_7?_0 x + 1 - _7\\\_0 = 0_7 _0 ?? x_52_0 - sin(_7p_0x) = 0,
x - 22 -
??? ??? ? ????? e = 0,00001. ------------ _7( \\\\\ ) 7 _72_0 0,7854- x_7?_0 1-
x_52_7 _0 _72 lg(6x) - _7\\\\\\\\_0=0 ?? 0,3+x-cos_72\\\\\\\\\\\\\\\\\\2_0=0,
6(2x+1) _72_0 _7 _0 1-x_52_7 _0 _7 2
_79 _0 _7 0 ??? ??? ? ????? e = 0,00001 . ------------- _7( _0 _7\
_72_0 x + y + z - 2,54732 = 0 , ------------ _72_0 e_5XY_0 - x_52_0z_52_0 + y_7?_0z
- 1,5 = 0 , _7*_0 ( x + _7?_0z - 0,5
) + y_52_0 - 1 = 0 , _72_0 x + y +
z - 1,84643 = 0 ,
???????? ????? ?= 0,00001 . ------------ ?? ? ?????? ??
????? ????? ?????? ?????? t , ?. C
+---------+---------+--------
-+---------+--------- 777 927 1077 1227 1827
+-------------------------------------------------
+ 10 7,5 6 5,5 5
+----------------------------
---------------------+ ????? ????? ? ?????
?????? ?? x
Si( x ) = _72_0 ------- du
+---------------------------------------------------
------+ +--------+------+------+-
-----+------+------+------+------
+---------------------------------------------------
------+ ?????? ?? ????? ????? ???? ??
?? ?? ????? ???????? ??? ?????? 0,0000001. ------------ ????? ???? ?? _7!_0
_7\\\\\\\\\\\\\\\\\\\
_71 t 0,000 _7p_0/36 _7p_0/18 _7p_0/12 _7p_0/9
5_7p_0/36 _7p_0/6 +--------+-------+------+------+-----
-+------+------+------ +--------
--------------------------------------------------
+ ?? y(t) = 1,46 ? 1,56. _7p_0/2 y(t) - _72_0 _7?_0
1 - sin_52_0(t)sin_52_0(x) dx = 0 .
?? ????? ????? - 26 -
????? ???????????