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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;5 p3 m _( I( l
 - !using("fcopt");
- / U0 w2 w6 X- l' L/ B
- f(x,y,z)=(x+y+z)*(x*y+x*z+y*z)-10*x*y*z;% x( W& u3 l5 e4 l7 `% v: C- d
- init(:x,y,i)={ t6 o$ l, U J# H; _
- i=0,: {# y. r6 u/ O/ O7 X. W
- x=1,while{x<=10,$ y' f% L; E+ I
- y=1,while{y<=10,7 n: E' K$ O- q- |1 o8 G
- i=i+isolve[HFor("f"), optrange,1,10, optthis,2, optpara,x,y],5 w6 _! ]! V. [7 e- t% {
- y=y+0.50 |: q, p. C+ F4 j; E6 R
- },; [# F\\" g9 [3 f4 L
- x=x+0.53 c& p# S+ p1 s4 G1 U# f
- },
- 7 D' ^0 P! D4 o i7 u
- i
- 0 E* r, O- ]\\" b# e1 a1 O
- };1 `* R& ~8 T- f1 C0 i$ f
1. 1. 2. 0.
2 n! L2 v" M3 f# R* H; T1. 1.5 2.226208734813002 0.
) T$ M, o4 G: y( x( ^1. 2. 1. 0.
' g* \7 j) H4 E1. 2. 1.999999999999999 0." l% l+ n3 I: X" y9 E
1.5 1. 2.226208734813 0.1 \4 v5 V" N- r
1.5 1.5 3. 0.
2 n* l6 P( }8 i$ b5 I+ \ c) O) B1.5 2. 3.30716411545796 0.
( P+ i/ _) ]- y1.5 2.5 1.135767284302283 0.
& J B6 j' m& r1.5 2.5 3.301732715697718 0.
: X; Q0 F! i1 r5 ^5 z1.5 3. 1.499999999999999 0.
1 a4 N, d& n6 |/ j/ ~1.5 3. 3.000000000000004 0.
% Q/ g# R0 r1 [9 t+ N) n- ~2. 1. 1. 0.: d; D# X9 y* ]" Y
2. 1. 1.999999999999996 0.3 S8 I: [" s1 i
2. 1.5 3.30716411545796 0.1 L# ]# c2 G8 X9 M
2. 2. 1. 0.
# g4 A0 C) t/ k" `' q7 Z2. 2. 4.000000000000001 0.; R5 f5 V7 X& r, z3 h
2. 2.5 1.149218940641788 0.
: h% ~7 g. T! S/ B0 Z9 Y2. 2.5 4.350781059358212 0.
8 K. b" V# f- s* f8 p2. 3. 1.347582530373998 0.
0 ~" F% i) {7 d2 K( O2. 3. 4.452417469626003 0.- d; f! U7 T3 R, p! \5 m
2. 3.5 1.611932882193128 0.; A( m( E5 k1 U+ [" o: u
2. 3.5 4.342612572352325 0.
8 k. W2 o5 M4 X3 h- i2. 4. 1.999999999999999 0.
% f. {' b$ h, m8 m; L2. 4. 3.999999999999999 0.
9 a! Q4 A! v5 o' a2.5 1.5 1.135767284302283 0.
8 n6 N7 V5 g8 G+ ^: X2.5 1.5 3.301732715697717 0.! @+ }% K# M# a* M5 J0 h/ M
2.5 2. 1.149218940641788 0.
; t% [* R5 N+ ^$ { D; ?0 H/ t2.5 2. 4.350781059358212 0.5 V: e4 ~7 U! }& r
2.5 2.5 1.25 0.
5 Q S) o) W T* b Z& e. U2.5 2.5 4.999999999999998 0.
9 }' Z: g" s* @) o* @2.5 3. 1.39451558049041 0.
! l/ F' h2 i n. e3 o% X( ]$ H r2.5 3. 5.378211692236864 5.684341886080802e-014
( t2 g4 x0 H L: I. c* c; c2.5 3.5 1.577202478216426 0.
0 e: Z+ n, X% \' J9 ]* V2.5 3.5 5.547797521783575 0.
% G, b H$ V/ i7 a8 q3 G7 f2.5 4. 1.804522914534426 0.4 {8 o; z) x {. ^3 e; ~9 t( X
2.5 4. 5.541630931619419 0.0 x6 q: U) L. [2 o+ r0 z
2.5 4.5 2.09541126457111 0.
/ V7 k. G+ M) S9 h: L2 K, P9 z6 o1 c2.5 4.5 5.368874449714605 0.
7 X( v2 Y$ H; U( D2.5 5. 2.5 0.
0 i% O1 M, e( E2.5 5. 4.999999999999998 0.
! ^" e/ ?) f- j- q- i3 B: V7 B$ ^' _2.5 5.5 3.292157134434847 0.
1 ]3 `6 F$ h9 w2 H0 |2.5 5.5 4.176592865565161 0.8 e& l; Q8 |: ]; l- x
3. 1.5 1.499999999999999 0.+ z# R Z5 Z* G" j! E. z* t6 t
3. 1.5 3.000000000000004 0.
, J' n- Z$ P$ m0 B/ k( x3. 2. 1.347582530373997 0.
6 x7 o9 ]; G) J) ? [. |; U3. 2. 4.452417469626003 0.9 y1 z+ W c y9 w& \' R1 A- [
3. 2.5 1.39451558049041 0.
' T/ K+ o* J3 }! m8 J3. 2.5 5.378211692236861 -5.684341886080802e-014( ]2 A3 ?5 ]- _7 E g7 @
3. 3. 1.5 0./ z, a: a% S$ r' W) S" E, X
3. 3. 6.000000000000001 0.
& t+ v! C$ U2 [9 u2 W2 P0 @, p3. 3.5 1.641371232518948 0.( j* Z' X4 C, e: e
3. 3.5 6.397090305942587 0.
h" `& Q7 f7 s* n3. 4. 1.814243197655509 -2.842170943040401e-0144 v% t4 `2 Q2 A9 R: M* f! E
3. 4. 6.614328230915922 0.- P( |+ c$ e5 j5 }
3. 4.5 2.021373795560996 0.: N$ l- P6 `* R5 r% ~3 Z/ K. u
3. 4.5 6.678626204439006 0.
6 N9 \* k0 V/ q4 H! u3 k& Z0 F& ]3. 5. 2.271534568604568 0.6 u0 X9 o) @+ A- l/ ^3 K" C; d
3. 5. 6.603465431395431 0.: D8 U! ~4 }% q$ [' ~
3. 5.5 2.583225948048685 0.
' @; E$ g1 Z8 [ t, d$ F" `3. 5.5 6.387362287245431 0.# T1 \0 J6 }( s1 h* t5 N: Z' i3 Z
3. 6. 3. 0.
- B+ P) s* Y6 Z% W" J& f3. 6. 6.000000000000004 0.
J, \6 n- t5 U& W, K3. 6.5 3.692013773129524 0.* s7 N ]8 \- a: W$ N
3. 6.5 5.281670437396789 0.8 s' [) A+ I4 c) T. X2 x: T
3.5 2. 1.611932882193128 0.+ E: x# \: @0 E( G2 X# g
3.5 2. 4.342612572352325 0.% Z/ e1 j. x2 u8 J2 p0 `
3.5 2.5 1.577202478216427 0.
# ?3 K. C* `0 z- Q2 Y1 v) d3.5 2.5 5.547797521783575 0.
* p/ n/ H+ x" V0 |7 A7 r/ w+ \3.5 3. 1.641371232518947 0. ?. c1 C" ]5 c- j( Q1 k w
3.5 3. 6.397090305942591 0.! f! W) _" c3 ^
3.5 3.5 1.75 0.
2 t2 p0 n* T3 u1 u3.5 3.5 7. 0.& a3 n) D; t8 d$ d7 T" o
3.5 4. 1.889112461544294 0.
# k9 g& w8 a( \6 k2 P0 H5 M; g3.5 4. 7.410887538455708 0.1 L1 |* R' j: j7 y2 g F
3.5 4.5 2.055177184113076 0.& X$ V1 b+ f% e8 a# N5 L% [
3.5 4.5 7.663572815886926 0.
+ E9 D3 U: F" K& l3.5 5. 2.249335186315033 0.
$ V4 B7 m4 e. B3.5 5. 7.78007657839085 0.- g2 t; I4 N# Y4 y! f; Q% g" ?
3.5 5.5 2.476297487447864 0.
1 M: ^4 K. ^6 C- U) E3.5 5.5 7.773702512552139 0./ g4 R- `# Q$ o' g
3.5 6. 2.745300211529267 0.
& H, d4 ]7 }, M2 s8 O$ v3.5 6. 7.649436630576002 0.1 y5 F6 D2 T" c& T% p
3.5 6.5 3.073844239487252 0.
6 l# p# G: d9 O3.5 6.5 7.401155760512754 0.
2 @1 @# v, S4 z7 G9 i3.5 7. 3.5 0.! J' u5 s% H9 V# D
3.5 7. 7. 0.
! Q. F3 |1 g9 H, V" Q J3.5 7.5 4.146248634662254 0.
# C; I/ a' a6 d N7 ~" {3.5 7.5 6.331024092610477 0." C5 F& V! O% r/ J1 U" {! v5 X* f
4. 2. 2.000000000000001 0.
2 X- A7 U( Z: s N4. 2. 3.999999999999997 0.+ e3 ~: }- P; V- B, H8 _
4. 2.5 1.804522914534426 0.
) ~: q7 u0 e/ G' B4. 2.5 5.541630931619421 0.- x" x C8 b+ x- x8 q+ k
4. 3. 1.814243197655509 0.
* {/ b( s+ t* Z2 ]4. 3. 6.614328230915922 0.
& N; c% T0 o/ Z3 }. Q1 h4. 3.5 1.889112461544296 0.
0 O+ D2 X/ ?6 M4. 3.5 7.410887538455708 0.
5 V% o, z( w- ^9 n4. 4. 2. 0.# I* L8 A6 f# U& ~! G
4. 4. 8. 0.
# n$ t2 Z2 Q j. `& w' h3 l/ T4. 4.5 2.137407852977751 0." p' m( s# [$ X8 r3 K% Z' y
4. 4.5 8.421415676434013 0.
1 @- }8 r- U5 u7 E! N. u4. 5. 2.298437881283576 0.
$ I; z# w5 D6 h# R. P4. 5. 8.701562118716424 0.
) x% }; @! w4 N6 i, u4. 5.5 2.483445700017514 0.
( t( Z4 F) v' c4 t% Q4. 5.5 8.858659563140384 0. f$ e6 F8 ^8 ^ V$ t5 ` D
4. 6. 2.695165060747996 0.
z8 V, @8 c" K9 d4. 6. 8.904834939252009 0.
7 @) [! a& a" e# V9 D! V c, z# [4. 6.5 2.938916502606828 0.9 {9 v e) x5 X' z8 U$ j a
4. 6.5 8.846797783107462 0.* O: Q- H$ m* H
4. 7. 3.223865764386256 0.
+ g ~$ {3 g, [4. 7. 8.685225144704656 0.7 X, A" q" c5 W5 P5 u9 N
4. 7.5 3.566387492405245 0.0 f/ h( ^2 k- L
4. 7.5 8.411873377159974 0.. S6 `1 `" ?/ x
4. 8. 4.000000000000002 0.! m+ w: x- H8 N8 P- P
4. 8. 7.999999999999995 0.
2 d# t6 Y, i( V) k4. 8.5 4.618832614156824 0.3 d; {2 M/ H! F# m" Z6 n4 g: Z
4. 8.5 7.361167385843178 0.1 h/ j) ~! J/ ~9 x* \. J& H5 n
4.5 2.5 2.095411264571111 0.
# Z% D6 ~* b& {9 {0 F4.5 2.5 5.368874449714603 0.
9 |% B n" {, l0 w* {- V1 }4.5 3. 2.021373795560996 0.8 W- S; K. l( V2 a
4.5 3. 6.678626204439004 0.
! r5 o1 K' y3 P, B+ M/ z* C4.5 3.5 2.055177184113076 0.
2 @3 e' l6 P4 V. I1 {# P, ^4.5 3.5 7.663572815886925 0.4 E" q0 J# h |+ k" s# B" G, y
4.5 4. 2.137407852977751 0.- n; j+ B7 A' q* f @8 Q) [
4.5 4. 8.421415676434013 0.2 q' n" b. E& b, N7 e
4.5 4.5 2.25 0.
2 Y$ O/ [3 X& [- y3 ?" p1 O3 N6 [4.5 4.5 9. 0. n" c5 ~" w. U6 S0 C) o
4.5 5. 2.386074153449669 0.
: r+ E! d* E. P1 O; |3 p, I4.5 5. 9.429715320234545 0.+ r* e; c8 i1 N, `2 C& B, O$ m
4.5 5.5 2.543211996792689 0.
, Y+ z: o n& i& a1 u4.5 5.5 9.731788003207315 0.
! g: w. n% h& {; F4.5 6. 2.721364796483262 0.( D+ G* M' {6 @8 }+ D: E
4.5 6. 9.92149234637388 0.
$ M7 F2 [( k. A$ D4.5 6.5 2.922185008548723 0.
6 E4 l6 ~: j6 Y% a& W4.5 7. 3.149000780229209 0.7 @; G$ a: b2 Y. n/ y
4.5 7.5 3.407301852906852 0.
( ]0 a, ^5 l$ Z5 C3 k- V4 F! [4.5 7.5 9.905198147093154 0.
, h% e D( ~3 n5 W* V0 L4 V- Z4.5 8. 3.705986018674346 0.
) X: b1 s) Z) c( C v: @) e: j% |& O4.5 8. 9.714013981325651 0.
7 O. Z7 G! V2 F8 _) F, _3 H4.5 8.5 4.060312832145664 0.' m! c& X6 H9 u: ?
4.5 8.5 9.420456398623564 0.+ Q" q/ g5 [3 P0 a; F
4.5 9. 4.5 0.
( }% q/ a% g0 `4.5 9. 9.000000000000005 0.2 q; y8 W3 k# n+ K( |& Z; V
4.5 9.5 5.100326474258905 0.8 L, V+ b& B* H) Y) c o
4.5 9.5 8.381816382883958 0.
# Q3 ?& ?# X- ]7 `6 p4.5 10. 6.402193416458818 0.: N- [; S. W9 I# g
4.5 10. 7.028841066299776 4.547473508864641e-0138 g; |/ D# n$ @3 N
5. 2.5 2.499999999999997 0.$ w2 k3 ^8 {% }* P% O
5. 2.5 4.999999999999998 0.. Q9 w; [0 `' _1 q V9 N! j k
5. 3. 2.271534568604568 0.9 a3 l0 [5 Y! ^2 X0 [8 ^' x
5. 3. 6.603465431395431 0.# K! b, R0 `$ X1 G) E- z
5. 3.5 2.249335186315031 0.
4 N) w8 J, r+ ?& Q; G5. 3.5 7.78007657839085 0.
" }9 h% Z% E" G l" }5. 4. 2.298437881283576 0.
' ~8 ^& m( r2 P0 k5 i6 m1 g5. 4. 8.701562118716424 0.
' \& H. k4 C6 [5. 4.5 2.386074153449668 0.3 d( F' O% @$ N& e( }( ~
5. 4.5 9.429715320234545 0.( M, s1 A/ h. Z! Z* j! y
5. 5. 2.5 0.
0 _# T" B2 }' Y. o. M# l5. 5. 9.999999999999993 0.* E; s1 B( a0 W+ W2 f
5. 5.5 2.635001373375082 0.
( {: @# h o& i) d9 x: L4 n. |5. 6. 2.789031160980821 0.- |3 L8 e- X5 Q0 Q& ^* Z
5. 6.5 2.961827475384206 0.0 i0 r2 N- B8 ~1 h
5. 7. 3.154404956432853 0.
! Q9 N. i0 [# S6 B( G u5. 7.5 3.368956325934996 0.5 g2 }: ^9 ]5 N
5. 8. 3.609045829068848 0.) ?# o- C3 D8 {5 [ K, f
5. 8.5 3.880150804346176 0.
5 h e! Q- [( W/ B& {5. 9. 4.190822529142221 0.
; h1 I% t. G0 j2 P) D, o* W0 \5. 9.5 4.555265557190405 0.
: n# ?* {# n8 Y5. 10. 4.999999999999997 0.
/ w5 q0 M# K, b. o0 @* v5. 10. 10. 0.
$ U C0 D$ ]5 H6 l* O* V5.5 2.5 3.292157134434847 0.: H3 d5 g/ x0 y+ ~8 R$ v
5.5 2.5 4.176592865565167 0.
% R3 K7 v; u# V! z' M! d5.5 3. 2.583225948048685 0.6 y: E" [& s/ K/ A& j. x& j
5.5 3. 6.387362287245431 0.
! ~0 o% m5 O, h; A5.5 3.5 2.476297487447864 0.2 V. z* e* [& {0 j/ e- z& D
5.5 3.5 7.773702512552133 0.% p1 j6 F% t/ C0 [" B
5.5 4. 2.483445700017513 0.
6 p1 h/ w6 H! D8 V6 |# Q# S5.5 4. 8.858659563140384 0.
. @0 W. Z$ H7 m5 @5.5 4.5 2.543211996792689 0.) c; ^! A$ H$ E$ v' V# P/ ?6 {
5.5 4.5 9.731788003207313 0., o2 i6 r& p6 _0 o2 d8 |/ b
5.5 5. 2.635001373375081 0.
4 F; k" j# K1 Y/ V; m/ R6 s( P9 c5.5 5.5 2.749999999999999 0.4 ^- c# B( i! K8 i
5.5 6. 2.884119329429114 0.
* @ L2 Y; n6 S& z4 L$ `5.5 6.5 3.035604845963815 0.3 ?) A2 F0 ]) i8 I2 E" ~* z7 |
5.5 7. 3.204083523261024 0.' M. }) U! M- [+ F o7 b; r/ l4 P
5.5 7.5 3.390173520212255 0.
& o/ u+ x% g$ x# B7 m8 c$ k5.5 8. 3.595369279178611 0.
8 D" m" j- `* B% n5.5 8.5 3.822111065390602 0.7 j! ^2 C$ k0 |+ Q+ j, t
5.5 9. 4.074041860443781 0.
# L' |! A" F! R; [3 j5.5 9.5 4.356541541407054 0.. a3 ]% @: o- T& J* @) U
5.5 10. 4.677786777828594 0.! Q' G$ N0 s% T" P0 R
6. 3. 3. 0.3 w* Z& e9 s6 z" _5 q# G
6. 3. 5.999999999999999 0.1 n0 I: J. b! L' B
6. 3.5 2.745300211529266 0.
2 H' W# c, f* e0 s6. 3.5 7.649436630575996 0.) L' I4 D$ x' h2 o9 K5 u+ _
6. 4. 2.695165060747994 0.
3 m; E! _: x8 @6. 4. 8.904834939252005 0.
5 c* C3 b0 V& g7 y1 ^$ G6. 4.5 2.721364796483262 0.. L6 j2 J+ Z$ d7 I7 m( M5 K
6. 4.5 9.92149234637388 0.
. z3 J1 D) o) Q Z, s, L( R3 H! _+ O6. 5. 2.78903116098082 0." f4 O) y& k2 o1 }4 y
6. 5.5 2.884119329429112 0.
6 t/ |% o8 ]7 z( U& B6. 6. 3. 0.
: \! f) l) d" r6. 6.5 3.133381054885423 0.
; e# S" N1 ]0 ?* A) d0 L' V3 j6. 7. 3.282742465037893 0.4 U" u4 u+ [' f
6. 7.5 3.447656821925362 2.273736754432321e-0131 p2 S+ a, F; @& {3 p$ E. T
6. 8. 3.628486395311015 0.
. _: J( N! E; t* `6. 8.5 3.826272163735232 0.1 Q* W) l6 Y& q" f6 W" X
6. 9. 4.042747591121993 0.
, C% O* K$ |- l6. 9.5 4.280465505524228 0.
5 _, d' e# g+ f* q# t) a6. 10. 4.543069137209136 0.
& O& O+ Z; E3 W+ F: C6.5 3. 3.692013773129525 0.9 |5 \8 ? V I1 b. x# R0 N
6.5 3. 5.281670437396786 0.0 O4 {. T1 U9 {" U9 N/ J6 E$ W
6.5 3.5 3.073844239487251 0.
3 ^7 \ b5 p& w" T! e; A$ P& ? _6.5 3.5 7.401155760512746 0.5 U7 A' N' Y9 U
6.5 4. 2.938916502606827 0.
" I* Z0 f$ x) v7 ]6.5 4. 8.846797783107464 0.( y# U% G& x* L
6.5 4.5 2.922185008548724 0./ U# E) V; {: `/ A- S Q
6.5 5. 2.961827475384206 0.4 G1 R: K7 O3 ^- _
6.5 5.5 3.035604845963813 0.% |- A4 r- y( N% m ?
6.5 6. 3.133381054885422 0.& v7 x b1 i W6 \) b# }- K+ E
6.5 6.5 3.25 0.( G" |5 m4 f1 I4 O
6.5 7. 3.382753896487015 0.
9 y8 I3 G% n1 k" w; a6.5 7.5 3.530313399868478 0.! _* W+ `0 }2 S- X. e
6.5 8. 3.692229149874506 0.
: _& B" g' V* O/ \6.5 8.5 3.868693727795107 0.2 O: L6 T! ]/ `% A- z% t+ s
6.5 9. 4.060441442861232 0.9 W, n, V3 j j& D7 O
6.5 9.5 4.268736592110795 0.
' l. Y( V5 x! Q9 ^- R' d- {6.5 10. 4.495435882583067 0.5 e1 o f8 ^+ ~( q
7. 3.5 3.500000000000001 0.7 v* |# L, K# s( I1 y/ A
7. 3.5 7. 0.
4 w0 E+ {! e: X' ]- f7. 4. 3.223865764386255 0.
' S Z9 H* ~! U' C0 q" C% K7 [! |7. 4. 8.685225144704656 0./ }% A3 Y# j7 i$ \- O" p+ {# {
7. 4.5 3.14900078022921 0.
8 u+ k1 Q) [4 o0 O7. 5. 3.154404956432853 0., ~% i6 m# G+ K
7. 5.5 3.204083523261021 0.8 P% p( i& C: }; d: \
7. 6. 3.282742465037893 0.
' s/ W5 C( u9 c r7 l7. 6.5 3.382753896487015 0., E' z5 w" K* I- U
7. 7. 3.5 0.
! Q: |( a+ q% m4 t- w. `7. 7.5 3.632214429249618 0.
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