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升级   91% TA的每日心情 | 难过 2012-8-27 18:22 |
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签到天数: 1 天 [LV.1]初来乍到
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例子4:为隐函数绘图准备数据(x取1~10,y取1~10,z取1~10):f(x,y,z)=(x+y+z)*(x*y+x*z+y*z)-10*x*y*z;6 v9 R/ T1 ^& U1 u# y2 @; Q
 - !using("fcopt");& B- J6 l/ m3 |, z( O
- f(x,y,z)=(x+y+z)*(x*y+x*z+y*z)-10*x*y*z;; w: r1 I3 z$ \# I8 }7 y
- init(:x,y,i)={
- ( }4 e8 l9 ^7 @5 a( M2 v( Z8 @- E
- i=0,
- 9 \ V+ z8 F- L( o; J8 A: Q) u) N
- x=1,while{x<=10,
- 9 f' h: W: G2 D8 t
- y=1,while{y<=10,
- / F\\" v- I6 W3 ]7 H& a! D( d
- i=i+isolve[HFor("f"), optrange,1,10, optthis,2, optpara,x,y],) r7 t& ~/ w1 j2 v/ F2 `5 w
- y=y+0.5- F/ U. Q* T6 \! D* z$ D8 a$ t& u
- },
- + r% _8 ^$ ^# e2 w; a\\" A. e' R
- x=x+0.5; W' V7 z\\" v5 [# n
- },& `* G! ^; R2 {# J: ?) m
- i; q3 V! e& U% B
- };
- 2 Q( s4 {& m y! t. n( Z
1. 1. 2. 0.4 C' N) k% h+ y$ |- o
1. 1.5 2.226208734813002 0. C" D) S- \( E! x5 S
1. 2. 1. 0.) l7 F T4 ]" q/ q8 _$ i* s
1. 2. 1.999999999999999 0.1 f8 c) j1 @" c9 L6 z
1.5 1. 2.226208734813 0.4 b- ]2 r5 c& f/ I+ _
1.5 1.5 3. 0.' J) D, R; m' S+ x/ G
1.5 2. 3.30716411545796 0.
, _, D; Z0 c* S& Q9 B1.5 2.5 1.135767284302283 0.2 J* ]" A5 \7 g/ N+ f
1.5 2.5 3.301732715697718 0.: o' H" o9 U# |/ x
1.5 3. 1.499999999999999 0.
. [2 c; l! ]2 I1.5 3. 3.000000000000004 0.
; q g) L: _; \8 C9 |' s9 p- W3 q2. 1. 1. 0.
) V6 z2 q/ h" s$ h& h+ z. r0 S3 c7 Y2. 1. 1.999999999999996 0.
/ l: s" Z# f/ `0 S; N u' Y2. 1.5 3.30716411545796 0.: t) P# M1 d0 j0 p, R
2. 2. 1. 0.# t' Y3 N0 Z6 i8 B( N
2. 2. 4.000000000000001 0.
( o( S, p" C8 A" o6 o% a; c2. 2.5 1.149218940641788 0.
r7 m; P% R$ T+ M5 v+ ^; X2. 2.5 4.350781059358212 0.2 n5 b# H6 L- ~$ G$ A' E
2. 3. 1.347582530373998 0.6 p" L2 M: R2 b$ V
2. 3. 4.452417469626003 0.
3 o; m" v# Q+ R: V2. 3.5 1.611932882193128 0.
3 Q5 S3 X0 D7 `$ U2. 3.5 4.342612572352325 0.
, f4 [% z$ \' }7 ^9 [4 d% Y2. 4. 1.999999999999999 0.! R! p1 w. \2 m8 h8 p# B/ N
2. 4. 3.999999999999999 0.5 `$ [% d. ?% v; k4 W/ A( _
2.5 1.5 1.135767284302283 0.# Q- P0 b/ H" I. s3 n- {
2.5 1.5 3.301732715697717 0.% R, q Q; c" J+ Y! Y) O; F
2.5 2. 1.149218940641788 0.
3 F4 ^' D. F, P3 E" `3 ?2.5 2. 4.350781059358212 0.
% X! b, G/ a l- c7 R$ s2.5 2.5 1.25 0." y5 ^( {4 S. c" O
2.5 2.5 4.999999999999998 0./ W5 W6 _8 S& p$ Z1 x B5 B
2.5 3. 1.39451558049041 0.
. M' z$ s$ z; B/ q2.5 3. 5.378211692236864 5.684341886080802e-014+ g* d! ^1 F" S
2.5 3.5 1.577202478216426 0.
7 r3 D, ] b7 i, U" ^& B8 _2.5 3.5 5.547797521783575 0.. W/ q: k A- N g4 b$ {
2.5 4. 1.804522914534426 0.
. C: K" h" X/ z/ d* a5 U5 {/ V2.5 4. 5.541630931619419 0.0 X. j+ F2 ~4 f! o; A) b
2.5 4.5 2.09541126457111 0.. T# b1 Y- ~2 N9 c' J7 y
2.5 4.5 5.368874449714605 0.
% x, e) @3 B3 u, P9 q% ?4 k5 u2.5 5. 2.5 0.
, S# I* K p R4 j+ `2.5 5. 4.999999999999998 0.' O0 \9 y2 P# k) i8 u
2.5 5.5 3.292157134434847 0.$ h8 k, D6 @3 G- p$ o6 |/ v
2.5 5.5 4.176592865565161 0.+ }9 r5 x" l9 B y& M% }
3. 1.5 1.499999999999999 0.9 J( |/ a9 }# g* _; W& f
3. 1.5 3.000000000000004 0.
; V$ I1 k1 C2 e3. 2. 1.347582530373997 0.! k$ a7 w% z3 _
3. 2. 4.452417469626003 0.
' I8 D' h3 h8 U. s2 S3. 2.5 1.39451558049041 0.
% F/ v2 _6 [" C) x) ]3. 2.5 5.378211692236861 -5.684341886080802e-0145 t) p; _2 E, `6 s- o9 u: _
3. 3. 1.5 0.8 i1 g' t W9 [" _, m4 L9 S5 M
3. 3. 6.000000000000001 0.) Z7 N2 z$ \; C- ~' ?& v: V
3. 3.5 1.641371232518948 0.
0 r! ]. H& E0 ?1 O# G3. 3.5 6.397090305942587 0.
. z L1 T2 U8 {5 m% X+ {3. 4. 1.814243197655509 -2.842170943040401e-014" x" Z" {1 e \: y( U2 a
3. 4. 6.614328230915922 0.4 d$ o" o% V' Z! U1 j8 G
3. 4.5 2.021373795560996 0.% y: }, Z7 f2 W3 n4 b
3. 4.5 6.678626204439006 0.
+ f0 |9 a9 P0 K3. 5. 2.271534568604568 0.; p3 x. l7 Z4 n: N
3. 5. 6.603465431395431 0.6 Q4 f9 q7 M& H
3. 5.5 2.583225948048685 0.6 ^. C$ I7 K# z' \
3. 5.5 6.387362287245431 0.
/ ~3 @) W, z5 G+ G3. 6. 3. 0.- ^4 W$ s6 _1 V" F' X F# o
3. 6. 6.000000000000004 0.& s% i1 S+ N! f- ?3 ~$ w
3. 6.5 3.692013773129524 0.
/ q0 n, F2 Q. L3 `3. 6.5 5.281670437396789 0.
0 @/ g$ t! i. c2 @! J; u2 K3.5 2. 1.611932882193128 0.
4 Z5 L* O/ D3 V! L$ ?) ] I F- V2 P3.5 2. 4.342612572352325 0.
2 Q& r3 b1 S: _3 |- M% D3.5 2.5 1.577202478216427 0.
5 i* Y9 S# B, c: v0 e/ ]3 C% l5 ~3.5 2.5 5.547797521783575 0.
) |/ d! G% _3 A7 S6 Q3.5 3. 1.641371232518947 0., g) @3 i. D6 p" N0 w
3.5 3. 6.397090305942591 0.' W! U8 j6 D' Q' l- q5 V
3.5 3.5 1.75 0.. S/ w0 H; v _6 W
3.5 3.5 7. 0.
' J& e1 A. R u) v; W3.5 4. 1.889112461544294 0.0 Q n# W1 y; O e% \$ T
3.5 4. 7.410887538455708 0.
* l; A8 Q; A$ v( m: S+ \3.5 4.5 2.055177184113076 0./ I" ?1 I Z$ c; g/ ^3 a5 e
3.5 4.5 7.663572815886926 0.
# b* _7 I4 a4 j) C5 u; I- }3.5 5. 2.249335186315033 0.% r H; ]) h% ^" s/ x
3.5 5. 7.78007657839085 0.
0 F5 W. R, S) Z9 q# o- s3.5 5.5 2.476297487447864 0.
6 Y; x/ l9 Q+ [. }3.5 5.5 7.773702512552139 0.& {) A/ r/ j& @( s8 U3 {6 W/ n1 n3 y
3.5 6. 2.745300211529267 0.
" f3 u+ M. v- m3.5 6. 7.649436630576002 0.$ Z* r* d. \1 u! t' a3 O
3.5 6.5 3.073844239487252 0.# S, W8 h0 S ^, a7 d- _
3.5 6.5 7.401155760512754 0.
( Z. `9 ~; c# F3.5 7. 3.5 0.
2 `& d& {) g c" a @" x3.5 7. 7. 0.( z' \8 _( ^$ \. I
3.5 7.5 4.146248634662254 0.( J; \( u2 P- q" z* O- y! W- r# ]
3.5 7.5 6.331024092610477 0.( _7 V+ i6 p: @* G5 X2 u
4. 2. 2.000000000000001 0.9 l8 x% M# }1 l! d$ G2 f, I; v
4. 2. 3.999999999999997 0.
0 s2 G' ~; l, |4 P# C. d' J4. 2.5 1.804522914534426 0.: j; O; n- y/ ~9 T/ w) r8 F1 `, ~2 i
4. 2.5 5.541630931619421 0.4 U- C+ y( ^ y& C7 E
4. 3. 1.814243197655509 0.# g, e: q x% I/ l8 Z& W
4. 3. 6.614328230915922 0.3 w4 M# v" o4 m) G: J0 B
4. 3.5 1.889112461544296 0.! m/ e3 Y! ^. `5 w h
4. 3.5 7.410887538455708 0.
1 f& }) v# q9 }4. 4. 2. 0.
4 I! `4 j' \) v* @1 o4. 4. 8. 0.8 L* y2 f; G0 q: R: c* {
4. 4.5 2.137407852977751 0.
1 k* W2 w/ A$ S- a4. 4.5 8.421415676434013 0.6 w* C" f$ y) S# t' S
4. 5. 2.298437881283576 0.4 K0 E! ^# _+ W# G( \$ p
4. 5. 8.701562118716424 0.
: A6 ^7 k, X& b6 r& \4. 5.5 2.483445700017514 0.
5 x0 V% u8 u- Y. E, s9 C9 `4. 5.5 8.858659563140384 0.4 k9 L3 y; l9 r1 [7 s7 j( ~
4. 6. 2.695165060747996 0.1 p/ H4 {- S4 a! M {8 }$ n9 s
4. 6. 8.904834939252009 0.
) ] Y6 e" Y0 k: O% Z4. 6.5 2.938916502606828 0.
) f! Q6 ]3 m; \/ _6 y- o4. 6.5 8.846797783107462 0.* I7 {- Z$ Q) o3 v- Y6 u0 O
4. 7. 3.223865764386256 0.
" `( I ^4 D% Z8 ?9 V4. 7. 8.685225144704656 0.
! I3 l; a+ m/ ]9 ^8 ~4. 7.5 3.566387492405245 0.' l" q5 Q' W" V' p9 R" l# i9 b, ]! c5 U
4. 7.5 8.411873377159974 0.' L& j) t/ S9 K( c
4. 8. 4.000000000000002 0.
( f k- T- g3 ~) r+ e4. 8. 7.999999999999995 0.1 P% E8 K2 h9 I7 B2 Q& X/ R% l
4. 8.5 4.618832614156824 0.
: |/ B* H! f7 u1 q* b. G; r4. 8.5 7.361167385843178 0.
( Q) E: G h/ F8 a- d, ^4.5 2.5 2.095411264571111 0.: \+ p' C0 Q# N( r' ^2 u
4.5 2.5 5.368874449714603 0.5 G: e3 T2 T9 d& h' R! d0 z
4.5 3. 2.021373795560996 0./ s& i( |8 J( O0 h! a# L
4.5 3. 6.678626204439004 0.
) Y! n5 M4 P, w% ?2 p: ^$ s4.5 3.5 2.055177184113076 0.
' L: ~2 K2 ?; }5 [7 s4.5 3.5 7.663572815886925 0.
! o" |$ x: @# W7 M$ ]4.5 4. 2.137407852977751 0.
! |% G, E' Z8 y9 j. P8 ]$ e4.5 4. 8.421415676434013 0.6 t( a. L8 i7 K) y; v
4.5 4.5 2.25 0.7 d: t r! L+ o: c
4.5 4.5 9. 0.7 B. C4 g. @# b7 ^6 D( R4 @& \
4.5 5. 2.386074153449669 0.
% k3 H W1 o8 c2 ~: N4.5 5. 9.429715320234545 0.0 A p9 d. i/ k* R6 V0 U
4.5 5.5 2.543211996792689 0.
; z. T2 o; ?: T4 O; L6 m% S1 d4.5 5.5 9.731788003207315 0.
# M! p' t" i0 {9 N( ]4.5 6. 2.721364796483262 0.9 \4 P u# q1 {" H5 o
4.5 6. 9.92149234637388 0.
" K) A3 Y- F2 b+ m+ }- G( y4.5 6.5 2.922185008548723 0.
/ C3 F0 a) L8 t: i- E) @1 }4.5 7. 3.149000780229209 0.
! @) i9 e2 L6 s% n2 t- w. [2 A- A* L) m4.5 7.5 3.407301852906852 0.
$ Q: J, s; E: `9 M, T+ h4.5 7.5 9.905198147093154 0.
! j, j% y" T& `3 p0 s4.5 8. 3.705986018674346 0.
7 e0 f9 C5 X* g# x# C$ v4.5 8. 9.714013981325651 0.
0 W. S" t' F, \- @0 q4.5 8.5 4.060312832145664 0.
' f1 r3 E" e. v3 k- N! X4.5 8.5 9.420456398623564 0.
5 X0 ?. y& S- n9 @! N1 W4.5 9. 4.5 0.
! T5 I. }( p3 T4 I4.5 9. 9.000000000000005 0.% R0 a% R" c8 Y# q" u
4.5 9.5 5.100326474258905 0.
5 _3 g2 H+ }) d) k' w: j* ]) P7 V4.5 9.5 8.381816382883958 0.( l# T6 M, E. {/ n7 \, @
4.5 10. 6.402193416458818 0.% z9 |$ k+ a( P' S7 P( z0 d+ X5 h
4.5 10. 7.028841066299776 4.547473508864641e-013' v, r6 D5 y# v) J- B
5. 2.5 2.499999999999997 0.
' Z2 U/ o! E+ q: a( y$ ~5. 2.5 4.999999999999998 0.
" j9 R+ t; i/ Z5. 3. 2.271534568604568 0.% [& _( C! L1 k
5. 3. 6.603465431395431 0./ f* I" I7 U/ U) x
5. 3.5 2.249335186315031 0.% ^- _$ }8 k2 h3 l( A2 s0 H
5. 3.5 7.78007657839085 0.
* |' J. f8 T. j5 X5. 4. 2.298437881283576 0.
2 P. e) A4 c* c) l) ^# q( U+ P5. 4. 8.701562118716424 0.
' d, f' X: D# \ s+ Y; x4 B5. 4.5 2.386074153449668 0.2 s4 r% r/ d0 v _2 q, w: X
5. 4.5 9.429715320234545 0.
/ x$ U4 z( L' f1 d* G6 ?' u5. 5. 2.5 0.7 e% c" {3 c% ]7 B
5. 5. 9.999999999999993 0.
+ U6 t( _9 \: m- G9 U" \) x5. 5.5 2.635001373375082 0.
/ e5 p' r. I x0 `8 W4 P- @) e0 Q5. 6. 2.789031160980821 0.
: @1 H# K1 m! `& |: S5. 6.5 2.961827475384206 0.
t; o9 ^2 I& H5 w8 O% P/ G9 Y2 U5. 7. 3.154404956432853 0.2 \# ]9 j2 S( N
5. 7.5 3.368956325934996 0.
6 h! l4 w% \/ i" w1 R1 Y5. 8. 3.609045829068848 0." |9 p) f/ E4 c; V8 s' t8 Z, }, S
5. 8.5 3.880150804346176 0.
2 a/ {2 r4 h/ y; Z8 Q" P! u5. 9. 4.190822529142221 0.2 k$ v0 H( [8 w" \
5. 9.5 4.555265557190405 0.3 Y- H9 L9 `7 t8 q8 n
5. 10. 4.999999999999997 0.
0 N( t! D, Y+ f8 h* Y5. 10. 10. 0.7 M* {$ N7 V5 {' D( W+ p
5.5 2.5 3.292157134434847 0.
% `" T" m2 ~" B- H# l2 p* m5.5 2.5 4.176592865565167 0." }+ Q, o# {* `( t
5.5 3. 2.583225948048685 0.
4 m& C! ~, _/ a, J# Y- w) a5.5 3. 6.387362287245431 0.; l! _$ l8 o* i4 n9 m( b
5.5 3.5 2.476297487447864 0.4 I+ n: K: W% J% @8 Y
5.5 3.5 7.773702512552133 0.$ A( G+ n; ?/ `; X! q& ?; h( Q
5.5 4. 2.483445700017513 0.
+ k6 T+ {% Q5 w9 ` y1 Z% e9 [5.5 4. 8.858659563140384 0.+ k5 \( A6 s" l
5.5 4.5 2.543211996792689 0.
. R- } O0 ^5 X3 {. }- e. J! I5.5 4.5 9.731788003207313 0.
9 u; l+ O$ ] K+ Y1 E1 \5.5 5. 2.635001373375081 0.; G# V9 V8 N6 l. ^$ S, o. e
5.5 5.5 2.749999999999999 0.
& z4 m4 L6 C5 d! ~ ?1 ~- U& m5.5 6. 2.884119329429114 0.
3 x; e" i7 i! {, j1 m/ u: o5.5 6.5 3.035604845963815 0.
! U) q7 p i) m, \/ c& i. p5.5 7. 3.204083523261024 0.
- U, R% U3 L4 L# S5 l5.5 7.5 3.390173520212255 0.
: x3 }/ s% D5 K0 |) Y3 t& F5.5 8. 3.595369279178611 0.$ ~- f. a) O" |# A9 ]
5.5 8.5 3.822111065390602 0./ g; w: D2 g+ z. y4 L+ \
5.5 9. 4.074041860443781 0.
3 p' i: f8 p5 q/ { k) d5.5 9.5 4.356541541407054 0.
) J9 G/ \9 { {8 o* R$ Y+ L5.5 10. 4.677786777828594 0.
1 W! C7 N6 s" o: v0 s; F6. 3. 3. 0.
7 t8 m+ n4 r k6. 3. 5.999999999999999 0.
6 m5 J @8 @/ i6 H' t3 C3 Z6. 3.5 2.745300211529266 0.
1 T8 G9 n7 L( k5 p1 a- e' h3 k6. 3.5 7.649436630575996 0.
& b% F, u8 O7 }2 M' s% C* s6. 4. 2.695165060747994 0.
% V b% m$ O4 _" y( o. W# G# E6. 4. 8.904834939252005 0.
- _: k2 J- {6 a$ V$ G* Q6. 4.5 2.721364796483262 0.& T# V7 O0 _" B
6. 4.5 9.92149234637388 0.
) w( K( R$ }; @/ \* X1 F4 D! c6. 5. 2.78903116098082 0.( x0 F: w, @" [. ?+ H8 y8 W( _" d1 P
6. 5.5 2.884119329429112 0.
- [- {# h" G5 |& t1 M6. 6. 3. 0.
* v: G( m2 ]& [' b% ]5 W6 v6. 6.5 3.133381054885423 0.% x- f% |7 u" g0 C; C% ]
6. 7. 3.282742465037893 0.: l9 y6 u2 ^# I4 n
6. 7.5 3.447656821925362 2.273736754432321e-013
4 |8 D# z1 g q' K4 o4 Y) t6. 8. 3.628486395311015 0." Z/ v6 x3 m0 o( a* [. ?" ~
6. 8.5 3.826272163735232 0.& k( T# H3 l' ]/ y( v- k
6. 9. 4.042747591121993 0.0 q7 {' ~5 L+ o) D! `
6. 9.5 4.280465505524228 0.
' ~7 ^: ~+ E& q) q6. 10. 4.543069137209136 0.
: x8 B1 H. C9 I- N6.5 3. 3.692013773129525 0.
% l7 O' R( A1 e0 x. x# a5 s6.5 3. 5.281670437396786 0.
% V9 y3 u0 V9 Q7 n6.5 3.5 3.073844239487251 0.
. u7 F& @6 w8 w1 b/ {6.5 3.5 7.401155760512746 0.: `0 w ]( h0 w* G3 C% j( [, A9 A
6.5 4. 2.938916502606827 0.& V0 K/ [5 v; y% [
6.5 4. 8.846797783107464 0.
# F: s1 Y) t/ k8 A& U @5 V6.5 4.5 2.922185008548724 0.& N% C4 o5 K5 z9 u0 s
6.5 5. 2.961827475384206 0.
4 G4 o# ^2 J+ K6.5 5.5 3.035604845963813 0.
0 Y5 m2 n4 ~' _- e/ j% U6.5 6. 3.133381054885422 0.1 f+ z$ A) N+ }. i, J+ c, `
6.5 6.5 3.25 0.
3 F8 `0 @/ ^4 f, D( T6.5 7. 3.382753896487015 0.2 [& B7 e) v3 u
6.5 7.5 3.530313399868478 0.$ T8 q" d8 ?4 O$ ~& k! V ^
6.5 8. 3.692229149874506 0.
$ Y7 F% a! T7 o6.5 8.5 3.868693727795107 0.4 c8 e/ L/ ^) Y0 E
6.5 9. 4.060441442861232 0.7 H# H/ `7 Y6 d, o& Y6 N5 S( [
6.5 9.5 4.268736592110795 0.
) e3 n+ L% J" f* f9 q; W! D9 [6.5 10. 4.495435882583067 0.
4 C1 W' Y6 s d; H7. 3.5 3.500000000000001 0.+ S/ L8 x2 q$ u
7. 3.5 7. 0.3 B+ N+ |/ k1 e, z
7. 4. 3.223865764386255 0.! Q$ L7 D2 y4 ]9 f) e
7. 4. 8.685225144704656 0.; F$ T# s5 B `4 H9 @8 c
7. 4.5 3.14900078022921 0.
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