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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;
) v. G0 N! O* ~ - !using("fcopt");9 y! ^5 L5 A) n8 M9 r! v
- f(x,y,z)=(x+y+z)*(x*y+x*z+y*z)-10*x*y*z;
- ! X ^& }' D6 B: E. L5 j2 k2 p
- init(:x,y,i)={2 }2 k2 X! p! f: @
- i=0,4 K+ W0 H\\" F6 n. P# k
- x=1,while{x<=10,/ S6 r6 i& Q- ]' g0 S4 A
- y=1,while{y<=10,
- % y$ W! |# ] f0 K8 t% R+ F
- i=i+isolve[HFor("f"), optrange,1,10, optthis,2, optpara,x,y],1 c- U$ W7 v; Y* q& k
- y=y+0.5
- x' |- Q8 W4 X! P; y' V+ b
- },
- . N( R# U @2 h
- x=x+0.51 m4 D\\" l' R9 V
- },
- ) ~& Q% d; P$ O8 A8 |/ f5 s3 ^
- i
- \\" L, u) p7 f\\" L
- };* @+ X& F6 N* y, c\\" m\\" u- F
1. 1. 2. 0.
0 Z1 m t5 S8 f0 v0 y- s9 W1. 1.5 2.226208734813002 0./ a) r3 y6 C! |! S
1. 2. 1. 0.& q" m& F: B b! S3 h9 N% V
1. 2. 1.999999999999999 0.
+ y2 I1 W5 X% s5 l- |1.5 1. 2.226208734813 0.
8 N! T4 S- G' |" W1.5 1.5 3. 0.
0 T+ t/ v8 U2 v1.5 2. 3.30716411545796 0.9 i7 A1 y- P. t8 n& c
1.5 2.5 1.135767284302283 0.3 S" O% `, _) |
1.5 2.5 3.301732715697718 0.
X$ ?5 s. L, Y3 k6 F1.5 3. 1.499999999999999 0.3 c; ^% X# _9 o4 ^- X |
1.5 3. 3.000000000000004 0.
( N( E3 e) }* [2. 1. 1. 0.
$ Q$ t7 L7 r$ C& |; }2. 1. 1.999999999999996 0.
; e4 D8 s# s- ^. J7 z2. 1.5 3.30716411545796 0.% E5 R# z* [0 l# @ d
2. 2. 1. 0.& ^( H: [; A9 w' `' z9 G
2. 2. 4.000000000000001 0.
t% \* L l. _5 G: @) |2 V+ `4 p; }; N2. 2.5 1.149218940641788 0.
5 G% L7 j) M% {. h P7 d2. 2.5 4.350781059358212 0.
4 M" ^$ P& ^' F# S' f7 A2. 3. 1.347582530373998 0.
' O) o. U3 B+ f2. 3. 4.452417469626003 0.
) h# h" h3 b0 p/ M2. 3.5 1.611932882193128 0.
: {+ N, [7 `1 m1 @6 p2. 3.5 4.342612572352325 0.3 @3 w$ l, J9 z7 e% M$ R
2. 4. 1.999999999999999 0.0 e$ J; y, g, E' ~# D, k
2. 4. 3.999999999999999 0.: Z. n" a9 y- \
2.5 1.5 1.135767284302283 0.2 K/ j1 e+ I3 k* c
2.5 1.5 3.301732715697717 0.. k' D, ], @) x# O- r
2.5 2. 1.149218940641788 0.* q2 d5 l% I* Q4 Y$ F# Q: F1 f6 Z
2.5 2. 4.350781059358212 0.
( L! g+ E, }6 ?" Z s4 @2.5 2.5 1.25 0.4 p5 P- j4 q, A5 }, {
2.5 2.5 4.999999999999998 0.
: x$ H. b6 R, |5 F2.5 3. 1.39451558049041 0.6 \ h; `# f6 h h6 Y
2.5 3. 5.378211692236864 5.684341886080802e-014: M% L9 ^5 K1 n( q9 N+ b
2.5 3.5 1.577202478216426 0.5 P+ V5 r" D1 w( L$ F( v
2.5 3.5 5.547797521783575 0./ m) |6 R/ F B
2.5 4. 1.804522914534426 0.
5 y: u( K4 `% E/ J2.5 4. 5.541630931619419 0.) K* a0 e/ h: G
2.5 4.5 2.09541126457111 0.9 m! `; Z0 @% C: |0 f% X
2.5 4.5 5.368874449714605 0.; K+ R0 I H4 N i- p- _) y% i
2.5 5. 2.5 0.- Z& D% F8 G" I* m1 }
2.5 5. 4.999999999999998 0.
% \9 {, u6 v0 \7 I/ G2.5 5.5 3.292157134434847 0.- |: S" [# q; r9 ]) x
2.5 5.5 4.176592865565161 0.* f3 c4 y- b/ o$ ~' {
3. 1.5 1.499999999999999 0.
2 {3 |6 z- K& q2 O- k# k1 P3. 1.5 3.000000000000004 0.
7 Z2 d9 ^1 u" T9 p* u& d3. 2. 1.347582530373997 0.0 {! g, a5 {, h. N$ s6 L' z
3. 2. 4.452417469626003 0.
5 l( x4 u0 ]3 `" M, |3 F; s4 |1 H3. 2.5 1.39451558049041 0.8 S5 A5 ~5 s$ Y. v
3. 2.5 5.378211692236861 -5.684341886080802e-014
8 G6 g7 m/ O+ z) y* D0 W: l3. 3. 1.5 0.
3 q9 @- {9 [$ [0 N, K$ f4 X* h2 ]3. 3. 6.000000000000001 0.
8 ]& ^$ T; {+ D7 \3. 3.5 1.641371232518948 0.7 A7 z6 @1 }' f: p, w
3. 3.5 6.397090305942587 0.
& D5 M ~. r- z" O5 x3. 4. 1.814243197655509 -2.842170943040401e-014
- u. z u6 K6 {3. 4. 6.614328230915922 0.
3 K9 X4 R6 h. t& S2 K3. 4.5 2.021373795560996 0.! x+ D5 p g: g8 e3 v
3. 4.5 6.678626204439006 0.: e) R3 u( J- h) S7 g- w. Z* d
3. 5. 2.271534568604568 0.
. x! C/ \" e, g+ W! Q4 \: x2 F, v3. 5. 6.603465431395431 0.
4 T* j. [* E5 z1 ^2 B3. 5.5 2.583225948048685 0.; I4 R5 y! f' _ S
3. 5.5 6.387362287245431 0.
/ C' u0 _ V, u. r: e- A* Z* V. {3. 6. 3. 0.
6 \% \+ B6 |' u* B0 s3. 6. 6.000000000000004 0.
# W; _- ~* L' O7 |3. 6.5 3.692013773129524 0.5 m! d ~% E0 m9 r7 |& \
3. 6.5 5.281670437396789 0.
& t2 T5 n+ a) {" t3.5 2. 1.611932882193128 0.
1 p9 ?( c! y: ^/ r( |9 R6 |3.5 2. 4.342612572352325 0.
4 w4 B) X& |5 V$ ?3.5 2.5 1.577202478216427 0.; p% f. }+ W* ^ h
3.5 2.5 5.547797521783575 0.3 U( x, B2 m. ~5 W: k( @; [
3.5 3. 1.641371232518947 0.7 d8 R- W! |8 h
3.5 3. 6.397090305942591 0.: y O. S3 i& L% `
3.5 3.5 1.75 0.
+ D7 _6 B6 Q& x5 G4 O3.5 3.5 7. 0.
8 T7 w, D; N# J( X Y/ U3.5 4. 1.889112461544294 0.
' s, ?9 A6 G: O7 W# o3.5 4. 7.410887538455708 0.2 Y8 o/ N+ f# h' n/ b/ I
3.5 4.5 2.055177184113076 0.) w' o& `; B- [& g- o' F
3.5 4.5 7.663572815886926 0.% F; W$ b( J3 r9 G
3.5 5. 2.249335186315033 0.6 R* S& g$ {" s4 v1 ^1 ~
3.5 5. 7.78007657839085 0.5 n" O) w; c4 j2 W) g
3.5 5.5 2.476297487447864 0.
% D# |( K* L. o( U' e3.5 5.5 7.773702512552139 0.' P& X0 M C/ j; u% I
3.5 6. 2.745300211529267 0.3 i4 L3 I3 D# p) b& J
3.5 6. 7.649436630576002 0.9 W) a# q% q( C6 Y y/ ^
3.5 6.5 3.073844239487252 0.4 O. q0 n; O; M! T
3.5 6.5 7.401155760512754 0.7 v+ W/ D6 }9 |2 v$ M% Q$ P1 y' r
3.5 7. 3.5 0.) g5 q, [: ]/ N6 k
3.5 7. 7. 0.
. U! b" j! @1 y. M4 T% Q! y. z9 G3.5 7.5 4.146248634662254 0.5 o& F' n% }' |. L% n* j1 o- b
3.5 7.5 6.331024092610477 0.
- {' W: r1 O4 G& } r& {4. 2. 2.000000000000001 0.
' `7 x& p0 Z0 _. d; T* y4. 2. 3.999999999999997 0.
' O, |3 ?* V- v7 I4. 2.5 1.804522914534426 0.% o+ u6 D& b2 r# x+ K
4. 2.5 5.541630931619421 0.
& z6 r# \! {6 @5 j( s4. 3. 1.814243197655509 0.; M! e }3 `) r' t$ c9 W+ N. r
4. 3. 6.614328230915922 0.
# \+ D$ ~* Q& ^8 [" f4 C4. 3.5 1.889112461544296 0.. ~- s0 w0 z1 H
4. 3.5 7.410887538455708 0.( a2 b% u u$ m7 B4 L1 Y
4. 4. 2. 0.9 `' q- n5 z/ s# h
4. 4. 8. 0.' U* A2 h( J5 ]. {: }0 ?
4. 4.5 2.137407852977751 0.5 Q" V- c1 H5 O
4. 4.5 8.421415676434013 0.) ]5 c8 \0 l$ D& Q) b, p
4. 5. 2.298437881283576 0.
0 K# J3 r0 K; t8 [* W4. 5. 8.701562118716424 0.
/ C; d; g7 Z$ F7 l% J4. 5.5 2.483445700017514 0.
* v5 M ]+ \ t2 o8 s! z4. 5.5 8.858659563140384 0.
3 t8 f* `5 ~% Q* s4. 6. 2.695165060747996 0.
8 v3 N0 j& h4 ]4. 6. 8.904834939252009 0.
) m6 R) {4 i8 P) n5 [4. 6.5 2.938916502606828 0./ E9 ], N; V+ t- o" A& Q& K0 v
4. 6.5 8.846797783107462 0.
+ i* n- K8 W& d, z4. 7. 3.223865764386256 0.
0 \) L: [3 o6 U0 J9 |4. 7. 8.685225144704656 0.
( w+ a. ]! a# q' Z1 [4. 7.5 3.566387492405245 0.
6 B$ [- Q- c5 u. ?1 U3 g4. 7.5 8.411873377159974 0.' w) E9 `+ _: H9 c4 A3 X Q1 }
4. 8. 4.000000000000002 0.
: [$ r2 X1 S2 x+ L* g; Y7 _4. 8. 7.999999999999995 0.( b% n1 G% i0 ]4 P
4. 8.5 4.618832614156824 0.
1 p: R, ~5 o" E- f4. 8.5 7.361167385843178 0.1 u3 d$ e1 V- V
4.5 2.5 2.095411264571111 0.
2 m: D; g8 v2 c6 z8 J9 a4.5 2.5 5.368874449714603 0.* a1 T$ H' O. N1 W& B3 H
4.5 3. 2.021373795560996 0.
. y9 M5 m2 W) k. i4.5 3. 6.678626204439004 0.
! V/ T2 |3 i% H4 J1 j4.5 3.5 2.055177184113076 0.
4 o- O. q1 f: |2 \. a4.5 3.5 7.663572815886925 0.
, L- I& B1 f$ H2 a3 s4.5 4. 2.137407852977751 0.' s# U# u c+ j3 y! ^/ x2 A
4.5 4. 8.421415676434013 0.5 W% M% p B0 A& h/ P+ U; E y
4.5 4.5 2.25 0.- F8 ^* o1 t r. h. o: B$ m
4.5 4.5 9. 0.: a( M$ a. t4 ^3 D. r( l+ E D
4.5 5. 2.386074153449669 0.
- n* _7 d6 {3 E7 k+ @4.5 5. 9.429715320234545 0. W; J* z8 f9 F; D) t
4.5 5.5 2.543211996792689 0.! p; r/ y- N% w$ C
4.5 5.5 9.731788003207315 0.
5 {! A4 N0 P8 y/ i W4.5 6. 2.721364796483262 0.
, C9 I9 P, s+ G. F$ @$ d4.5 6. 9.92149234637388 0.# R& p. u8 G- o- j
4.5 6.5 2.922185008548723 0.9 n8 x# E5 U; a. A
4.5 7. 3.149000780229209 0.+ [: [0 K" n/ {' Z) h- k U
4.5 7.5 3.407301852906852 0.
, o2 S- n/ I; d! P4.5 7.5 9.905198147093154 0.
$ f$ o, G c' Y4.5 8. 3.705986018674346 0. K) F1 X( p; Z
4.5 8. 9.714013981325651 0.
9 t5 Q, B! a, J6 ~4.5 8.5 4.060312832145664 0.
1 O3 e) r+ V- ~3 l D& m4.5 8.5 9.420456398623564 0.
2 N) @, |( ]9 }4.5 9. 4.5 0.
* B4 G/ d+ }( f9 E& H8 I4.5 9. 9.000000000000005 0.2 K ?2 v! K( K$ }; l! f
4.5 9.5 5.100326474258905 0.
, u$ E$ E, Q0 U( ]- B4.5 9.5 8.381816382883958 0.3 ]) \! ~* A* h' U+ k
4.5 10. 6.402193416458818 0.' g2 z% g- q9 I. y, C z2 A
4.5 10. 7.028841066299776 4.547473508864641e-0139 C8 U5 h i6 O+ f$ Y6 P. i
5. 2.5 2.499999999999997 0.' e6 N( q( j. E" h. ^& u7 v# p0 d0 m
5. 2.5 4.999999999999998 0.5 z! ~ I& A* l2 V8 H9 j
5. 3. 2.271534568604568 0.
1 C: _5 Y" q/ t' R5. 3. 6.603465431395431 0.
3 H6 w7 \. o. @' S) P; K5. 3.5 2.249335186315031 0.
0 h% W9 l: s2 u5. 3.5 7.78007657839085 0. Q/ R. B4 k8 s" d) p1 h% R
5. 4. 2.298437881283576 0.! [2 w8 q. a5 V2 W7 e# x& l
5. 4. 8.701562118716424 0.7 ]" v- K6 H1 q' k7 e
5. 4.5 2.386074153449668 0., u3 G4 b. s3 R0 B$ @9 Z( I& V
5. 4.5 9.429715320234545 0.
* g( y/ ~& K8 G7 o) I' W2 r5. 5. 2.5 0.
. k/ G! r8 {0 Z; k3 J1 y5. 5. 9.999999999999993 0.. V+ Y2 N# \+ Q* d' g7 I( l0 U8 m
5. 5.5 2.635001373375082 0.6 e/ G+ `3 K5 S% w% P
5. 6. 2.789031160980821 0.
1 Z0 G, B" U; ^& ]2 g5. 6.5 2.961827475384206 0.1 l3 U/ D& j$ r. @7 g
5. 7. 3.154404956432853 0.
' Q `3 D( |+ g9 s5. 7.5 3.368956325934996 0.' `0 S2 {& K1 X5 J8 `6 ^0 |7 _) s
5. 8. 3.609045829068848 0.
8 W: B' J# t o2 T7 x5. 8.5 3.880150804346176 0.
A1 C2 [. o% L: `4 `, o5. 9. 4.190822529142221 0.
9 e3 @6 \' B& M7 i7 o5. 9.5 4.555265557190405 0.# z* u! g: b9 K5 Y7 V
5. 10. 4.999999999999997 0.
9 G' \% S; P/ f5. 10. 10. 0.
* \/ o. m, e/ ~% G k- Y# D5.5 2.5 3.292157134434847 0.
5 X# M! J R+ r2 i2 C) y5.5 2.5 4.176592865565167 0.5 ]4 f; L4 o4 X
5.5 3. 2.583225948048685 0./ S. z5 a) \' k) d! X2 S" M
5.5 3. 6.387362287245431 0.
: Q# D# Q( k# U# x9 X* z5.5 3.5 2.476297487447864 0./ J( j& B, U) c% m/ B) \
5.5 3.5 7.773702512552133 0.
3 m4 Y2 W, Y0 E5.5 4. 2.483445700017513 0.
, A2 v2 \+ ]1 X+ }$ T# p5.5 4. 8.858659563140384 0.
) e7 |6 e1 W7 O5.5 4.5 2.543211996792689 0.
5 Q8 Z; c5 S" K! v5 q! A5.5 4.5 9.731788003207313 0.$ E0 _+ P6 N! Z
5.5 5. 2.635001373375081 0.
) v* U: e% s! w/ u I) \3 Z5.5 5.5 2.749999999999999 0.
3 Q8 E! E5 b* p, U5.5 6. 2.884119329429114 0.
! N" e8 K5 \. N! q/ x5.5 6.5 3.035604845963815 0.
. a m8 y5 L5 J- u. \, y' v; V* f5.5 7. 3.204083523261024 0.& `0 K* s- x: p, p8 G% w
5.5 7.5 3.390173520212255 0.
6 S% N: U# Q3 B8 z5 p) y2 `5.5 8. 3.595369279178611 0.# I' [# ~% r3 L1 A; G$ ]+ R$ ]
5.5 8.5 3.822111065390602 0.# L3 [1 @0 X5 O3 d1 b9 m- [
5.5 9. 4.074041860443781 0.- s' }' T3 Q8 U3 Q& F3 J. s( H+ G# W
5.5 9.5 4.356541541407054 0.
$ c* l: O ?- N% P: j5.5 10. 4.677786777828594 0.- S I3 P& Y, _6 e: V9 b
6. 3. 3. 0.
0 q4 q& F4 S W3 {6. 3. 5.999999999999999 0.9 G+ O: o. @8 @) {4 r7 G
6. 3.5 2.745300211529266 0.
$ c4 B' c, D! o( e9 g1 C- D: y6. 3.5 7.649436630575996 0.
0 c/ {8 W* V/ H/ A6. 4. 2.695165060747994 0.1 }' \# e! a# L: n5 d# i2 Q' H
6. 4. 8.904834939252005 0.
% K2 U( H# ?) T6. 4.5 2.721364796483262 0.
+ a* ~' @6 k6 \! u6. 4.5 9.92149234637388 0.
7 `" g1 X, J F1 r( _9 r* B6. 5. 2.78903116098082 0.# [* N# P+ g: {0 A ^! X
6. 5.5 2.884119329429112 0.
9 \, y0 a! O! t6. 6. 3. 0.
, N4 Z3 r" [& v* u6. 6.5 3.133381054885423 0.
, c0 A1 _; N; n! C( D6. 7. 3.282742465037893 0.
9 J% V1 { i$ ^9 J6. 7.5 3.447656821925362 2.273736754432321e-0133 I! b" J+ C* K- V' ~
6. 8. 3.628486395311015 0.
6 ^: z; O W1 F& t8 B6. 8.5 3.826272163735232 0.
$ [; j+ ~" J+ T) P* i5 W) n2 ~1 U6. 9. 4.042747591121993 0.1 P! u' z# ~" G- i& s* a; t
6. 9.5 4.280465505524228 0.
2 o7 U' F, s; R; q' G# @* r" T4 D6. 10. 4.543069137209136 0.
, X9 s% L* H& n! w6.5 3. 3.692013773129525 0.
, y9 O" i+ C& z# h- F0 H/ B6.5 3. 5.281670437396786 0.$ e9 `) T5 A1 ^4 E
6.5 3.5 3.073844239487251 0.
5 k N p) \6 s# R8 K6.5 3.5 7.401155760512746 0.
, ?2 j4 c- P, {* S S5 i1 n7 @6.5 4. 2.938916502606827 0.: q2 z- @& f% G+ {7 o# G) d1 E
6.5 4. 8.846797783107464 0.8 k. M7 z+ B- A) w" U
6.5 4.5 2.922185008548724 0.
( Y/ Z8 [: t6 l8 U( p( b2 r6.5 5. 2.961827475384206 0., V2 X4 U% D$ p
6.5 5.5 3.035604845963813 0.0 y) I. f, v( K) w
6.5 6. 3.133381054885422 0.
: u- I4 I" s% z) r" H* ]/ H$ {6.5 6.5 3.25 0. Y- D; x$ L. [2 W" {1 O5 O, h
6.5 7. 3.382753896487015 0.2 F- x; X" C; d
6.5 7.5 3.530313399868478 0.
# g6 {- p5 J; G' A5 J4 O. T6 `0 H6.5 8. 3.692229149874506 0.
6 v0 L }# V- v6.5 8.5 3.868693727795107 0.1 n6 q8 f4 W/ B: H2 M
6.5 9. 4.060441442861232 0.
" {, Q% V* E$ l: E6.5 9.5 4.268736592110795 0.6 {: f# k3 T( h0 n: e; o% ~
6.5 10. 4.495435882583067 0.
; y( {" W0 K; }7 g2 N, S+ |7. 3.5 3.500000000000001 0.& `5 K* V7 A2 f9 h/ v
7. 3.5 7. 0.2 e- [4 a9 D; U
7. 4. 3.223865764386255 0.3 n/ }4 x7 ~% }( A( ^4 w
7. 4. 8.685225144704656 0.
8 m3 T$ Z+ M( w. Y0 a7. 4.5 3.14900078022921 0.7 ~8 c# g( @" o1 m* h: m7 M$ x
7. 5. 3.154404956432853 0.
- x8 p7 }. c+ a# ^" T7 M* ?7. 5.5 3.204083523261021 0.0 O) |/ z: Q. t3 O' `0 g
7. 6. 3.282742465037893 0.2 g$ f1 O6 R' D5 U" @9 R
7. 6.5 3.382753896487015 0.& @6 l M' z; f3 X
7. 7. 3.5 0.
% y8 m- L* \1 B6 e; T6 W7 v7. 7.5 3.632214429249618 0.4 u5 D& h" x4 u3 o- G, v
7. 8. 3.778224923088592 0.$ Z1 R0 ~1 z$ m+ f2 m N" W) i
7. 8.5 3.93757894317775 0., a- q2 G0 y8 `/ }( o
7. 9. 4.110354368226149 0.
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