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升级    91% TA的每日心情 | 难过
2012-8-27 18:22 |
|---|
签到天数: 1 天 [LV.1]初来乍到
|
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;$ T# w% h) {/ d. k2 p6 o
 - !using("fcopt");
- + u. k. m; A3 D6 a& P: m
- f(x,y,z)=(x+y+z)*(x*y+x*z+y*z)-10*x*y*z;
- 0 G\\" k4 R/ W8 U0 Q# t. U' e v
- init(:x,y,i)={$ f9 n: i; u( N G
- i=0,: ?1 K\\" ?7 O7 k) A' b' {& e$ H
- x=1,while{x<=10,
- 6 f; O, m8 x. V% f7 ^: _% F
- y=1,while{y<=10,1 y/ S8 b6 I, d. x9 d
- i=i+isolve[HFor("f"), optrange,1,10, optthis,2, optpara,x,y], z\\" B. {\\" ^( c' m3 K
- y=y+0.5
- 1 ]\\" \6 ]' Z5 |/ [5 w0 j2 }' |
- },2 D8 u6 J8 x8 u9 ~0 m* @ f
- x=x+0.5( ~7 Y/ p6 [) j4 p. z% u
- },8 S3 f- H* Q7 t* N& B! Z
- i: A( D4 S& u- ?, R- @- t8 M( S# w, @8 r
- };& ]# A- d& @! V6 m I
1. 1.5 2.226208734813002 0.; p0 z2 W5 @ u+ F
1. 2. 1. 0.
9 J! q/ T- i# D3 j' ~8 w) ^1. 2. 1.999999999999999 0.
* q" I% {9 u' m4 I# L1.5 1. 2.226208734813 0.6 x$ y6 d! i, w& t" c6 \0 Z$ W
1.5 1.5 3. 0.; z Q" v1 i* \6 E ^3 n6 w
1.5 2. 3.30716411545796 0.
; y; g" x* `$ K$ ^! e3 `1.5 2.5 1.135767284302283 0.
$ D1 z$ _! P2 X3 s! E) p+ V C/ C1.5 2.5 3.301732715697718 0.
) e& J& `3 U2 X+ y# h0 |7 p1.5 3. 1.499999999999999 0.3 ~" `' H$ H) K! C+ C
1.5 3. 3.000000000000004 0.! v2 N* ?7 ^- y- D
2. 1. 1. 0.: p* V* C5 v; e) }5 H. e( z
2. 1. 1.999999999999996 0.1 G+ t+ W7 k3 g# Q* J* N& j- x
2. 1.5 3.30716411545796 0.
% u8 v; h4 o( ^! A- x' Q) S9 ]/ O2. 2. 1. 0.* ~! H- z* Q- G. W2 @8 c
2. 2. 4.000000000000001 0.
, L# k2 x1 ~% K# X4 X8 Z& a2. 2.5 1.149218940641788 0.
! j" G! w! b' a) e0 Y2 q5 a6 _2. 2.5 4.350781059358212 0.; @5 G) U, E- `) Y! l
2. 3. 1.347582530373998 0.6 W# M* ?! I; k3 `4 N1 i! @6 V- f
2. 3. 4.452417469626003 0.& k' A; X" j; L- `$ H9 c
2. 3.5 1.611932882193128 0.
4 v9 m X5 Q6 H* `8 U4 \2. 3.5 4.342612572352325 0.
* r1 y) n& a. Y; W! M( N2. 4. 1.999999999999999 0.
A8 p% a4 ~* |2. 4. 3.999999999999999 0.7 V# u0 W& L6 r. k! A
2.5 1.5 1.135767284302283 0.4 a/ o9 V, X! B: E
2.5 1.5 3.301732715697717 0.; _3 w7 h4 _6 w0 k# C+ w/ y- J. o
2.5 2. 1.149218940641788 0.; L4 H0 D+ Y0 z/ W, i' V
2.5 2. 4.350781059358212 0.
9 _4 n. U5 D% Z+ J9 k- c2.5 2.5 1.25 0.3 ?2 b( d# P2 g/ x' X* D
2.5 2.5 4.999999999999998 0.
# {7 z8 P: B; V- R2.5 3. 1.39451558049041 0.
( S5 K" A; B* H2.5 3. 5.378211692236864 5.684341886080802e-014
) J: T, u( \3 E Z5 f, e& [ t9 g+ ^! q7 M2.5 3.5 1.577202478216426 0.
$ p" d$ k5 T( N C* S" E3 s% ~2.5 3.5 5.547797521783575 0.2 @! c& G7 ^, H6 {% g6 l7 M, J( ^
2.5 4. 1.804522914534426 0.1 Z* f0 a* W. y3 k
2.5 4. 5.541630931619419 0.
6 |+ ^, _" r* o! `* n/ t8 T2.5 4.5 2.09541126457111 0.
* t# y: P8 @3 z6 ~7 `5 Q2.5 4.5 5.368874449714605 0.
7 O1 v* i3 \$ {+ O1 d0 D/ Q1 B% m- Y% l2.5 5. 2.5 0.9 Q2 E( e: N. }
2.5 5. 4.999999999999998 0.+ l: N+ K# V# x/ ~3 {/ P; {6 w# r+ N
2.5 5.5 3.292157134434847 0.
2 |9 A+ _9 l3 _5 J2.5 5.5 4.176592865565161 0.
, Z( L5 F t+ p5 F3. 1.5 1.499999999999999 0." x" g/ m* Z! j, ~2 `/ a; j
3. 1.5 3.000000000000004 0., u6 \! x4 u1 ~9 G+ U D* l% b$ I$ Y
3. 2. 1.347582530373997 0.
/ f! K9 F" q6 h3 u, ^1 S1 ^3. 2. 4.452417469626003 0.
& ^4 y& C4 _2 [% }2 O" h3. 2.5 1.39451558049041 0.
3 V' j6 S. }5 O( z9 K3. 2.5 5.378211692236861 -5.684341886080802e-014
' H2 B) I% t# ^3. 3. 1.5 0.
8 G& Q* s7 `, Z) A8 S! ^8 {6 `8 m3. 3. 6.000000000000001 0.
1 k$ g. [, g! `: @% c* V: c/ e3. 3.5 1.641371232518948 0.. i9 S* \" @1 j+ k$ k, w
3. 3.5 6.397090305942587 0.
: h) ^; x* s! v3 G3. 4. 1.814243197655509 -2.842170943040401e-014! _$ y% \7 r: B# C p) V1 K
3. 4. 6.614328230915922 0.' ]9 J+ o$ F9 m1 }1 f, a
3. 4.5 2.021373795560996 0.1 E- P& w" d* X; j
3. 4.5 6.678626204439006 0.
2 y' Q1 T2 T S3 s/ j1 d4 R a3. 5. 2.271534568604568 0.
/ b* B8 ?1 J1 {% P6 w8 m- U7 t3. 5. 6.603465431395431 0.- W$ Y) i+ o' T0 e
3. 5.5 2.583225948048685 0.7 b$ `' `. G! i( A$ i' g P
3. 5.5 6.387362287245431 0.
% e$ H* O% s6 H3 A5 O3. 6. 3. 0.& V: T% T( d4 T( ?/ E! {& c' C
3. 6. 6.000000000000004 0.
# y3 @6 } E7 V3. 6.5 3.692013773129524 0.
( D! _9 c. ` }5 o+ H; Q" A% e3. 6.5 5.281670437396789 0.
2 a/ o. a* {/ Q3 x3.5 2. 1.611932882193128 0.
% q8 n6 @, E7 N9 x" D8 [3.5 2. 4.342612572352325 0.) [. ]# S4 m9 O: d9 N5 j8 c8 A* u. t
3.5 2.5 1.577202478216427 0.9 H2 S) `# o$ Q% c( Z
3.5 2.5 5.547797521783575 0.3 O6 ~4 b/ B2 L! U" n5 J" Y, o; l
3.5 3. 1.641371232518947 0.8 \( F' X9 b5 ] ^. D* v
3.5 3. 6.397090305942591 0.7 g" u: {( O+ ^4 `# s/ \2 @
3.5 3.5 1.75 0.
8 X# P- h) s+ b2 X3.5 3.5 7. 0.) ]6 Q1 E7 }. W; X
3.5 4. 1.889112461544294 0.; K x5 m4 d' t1 k* \
3.5 4. 7.410887538455708 0.( @8 i0 x$ K, O) u9 b
3.5 4.5 2.055177184113076 0.
" J. J f, V& R9 P4 R0 Z3.5 4.5 7.663572815886926 0.: b2 h* E; i4 R, v% `' _0 |, z
3.5 5. 2.249335186315033 0.9 n+ V8 m3 u7 c& x8 }, j: d- J! U; N
3.5 5. 7.78007657839085 0.& [3 m* f' P4 N4 m' q( k! \
3.5 5.5 2.476297487447864 0.
& u% N1 V* h3 F/ s1 Z _3.5 5.5 7.773702512552139 0.. O( w1 ]) H5 m/ L
3.5 6. 2.745300211529267 0.
0 G) o8 @( D3 ]' i# t8 x3.5 6. 7.649436630576002 0.. `5 N& N( t2 n9 h; A4 r" `
3.5 6.5 3.073844239487252 0.
% x3 J s' A! R3.5 6.5 7.401155760512754 0.
, k. f& C4 ?0 f V H" u! j3.5 7. 3.5 0.+ L7 g+ X0 M& F
3.5 7. 7. 0.+ _4 ]* E/ j3 W( p( R+ W- {* G
3.5 7.5 4.146248634662254 0.
! W5 s, [% {! F z3.5 7.5 6.331024092610477 0.5 V7 R2 f6 E. V7 r
4. 2. 2.000000000000001 0.
' A+ V/ q. }) E. F% J! B7 ?2 [4. 2. 3.999999999999997 0.
9 V8 J. g5 \% F1 Z0 R4. 2.5 1.804522914534426 0.
2 |0 `! f3 v+ l" C1 y4 C/ q4. 2.5 5.541630931619421 0.5 O' c" ~2 O3 H
4. 3. 1.814243197655509 0.. F3 m- A8 o, Z+ Y- x+ a
4. 3. 6.614328230915922 0.
# F2 e) O6 H0 y( z4. 3.5 1.889112461544296 0.- o! s: U H, ^ n
4. 3.5 7.410887538455708 0.
: ~0 _) V9 l& U7 i0 `6 l- }2 @4. 4. 2. 0. [' g* p/ s e+ T" s) X1 F
4. 4. 8. 0.
, l1 w8 _ E$ T4. 4.5 2.137407852977751 0.2 W3 d% P; x9 f
4. 4.5 8.421415676434013 0./ ^( }! T, M4 _' q2 W3 q
4. 5. 2.298437881283576 0.
& Q! k- }9 W2 D- p& L) W4. 5. 8.701562118716424 0.
3 a D* C* z# N( {0 n. |4. 5.5 2.483445700017514 0.
6 t/ |$ ]) }) M) L0 E: k4. 5.5 8.858659563140384 0.
( p! k$ J" M" E3 M$ M) g+ |" }4. 6. 2.695165060747996 0.
9 u3 J" j1 `/ b4 P) Z$ y4 ]4. 6. 8.904834939252009 0.
o4 q% f- t0 e" m+ K7 P0 |4. 6.5 2.938916502606828 0.+ b& T; X8 U/ n& O
4. 6.5 8.846797783107462 0.
+ C: k" z3 Z. [8 s, n! \3 _" N4. 7. 3.223865764386256 0.% I {3 E& |+ q
4. 7. 8.685225144704656 0.2 `9 R y9 |3 L& S: _
4. 7.5 3.566387492405245 0.0 k! F1 p* |0 X# Z- A
4. 7.5 8.411873377159974 0.% D( p; @% N$ g& Q1 }6 H7 _
4. 8. 4.000000000000002 0.
3 G% \/ \" L0 u2 o6 n+ U% L4. 8. 7.999999999999995 0.% o. G, [/ i7 e' f
4. 8.5 4.618832614156824 0.# {1 W7 r$ l& N J, H3 n! z
4. 8.5 7.361167385843178 0.
7 K1 p3 ^" Y9 |9 M4 J% a/ Q& H& e4.5 2.5 2.095411264571111 0.
! b3 }4 ~' m K" R4.5 2.5 5.368874449714603 0.
7 ?) ]/ C- c, b; L' H4.5 3. 2.021373795560996 0.
7 [% G8 i' A8 K; C% e z, [+ ^4.5 3. 6.678626204439004 0.$ {7 ?) y1 w3 u$ A+ J3 N
4.5 3.5 2.055177184113076 0.: p. N. h6 b* ?) w
4.5 3.5 7.663572815886925 0.
( ~0 t" ~$ a& P+ z" C4.5 4. 2.137407852977751 0.
1 l, c2 g3 D5 n. u% P9 h3 x4.5 4. 8.421415676434013 0.
. Q/ v2 J( _6 F: y/ w4.5 4.5 2.25 0.
4 S4 ]5 M& D0 m, ?! g4.5 4.5 9. 0.
- i- P" U1 }; u7 \4 l; ?4.5 5. 2.386074153449669 0.
& F; e k5 y; X- P4.5 5. 9.429715320234545 0.5 j; w6 E: l2 c/ ?3 \
4.5 5.5 2.543211996792689 0.7 A' s9 w/ `# b2 f& ^. O! ^
4.5 5.5 9.731788003207315 0.
% I3 p" I8 \+ u4 a1 C- p4.5 6. 2.721364796483262 0.3 T+ K& o& O8 D6 Y0 [ c
4.5 6. 9.92149234637388 0.' f3 ^0 ]' b" i
4.5 6.5 2.922185008548723 0.6 G8 a* d E- M3 K% y: E
4.5 7. 3.149000780229209 0.: Y- ^# s& z' D7 R$ `+ Z
4.5 7.5 3.407301852906852 0.) s% @0 T3 s# e4 s
4.5 7.5 9.905198147093154 0.- k3 v% P& M8 B( G5 s7 X/ n& _8 p
4.5 8. 3.705986018674346 0./ o6 ?& a" T O8 [- A/ q1 b. q
4.5 8. 9.714013981325651 0.+ `/ L9 q6 @" ?) z
4.5 8.5 4.060312832145664 0.% [! P! H8 g. H( e4 n
4.5 8.5 9.420456398623564 0.
, C8 S0 t* j8 K3 [: U$ }( ?+ m4.5 9. 4.5 0.; A- N4 y+ j f+ M
4.5 9. 9.000000000000005 0.0 }, f( t& O. q, D8 `: D
4.5 9.5 5.100326474258905 0.
4 r9 c# V8 [# h. O4.5 9.5 8.381816382883958 0.! c. |( j S7 d# g+ ` @
4.5 10. 6.402193416458818 0.
2 a- }" G5 f3 ` G! F$ D! l4.5 10. 7.028841066299776 4.547473508864641e-013
, W# w7 j; t# O4 t5. 2.5 2.499999999999997 0.% l5 B) q0 @3 R7 D
5. 2.5 4.999999999999998 0.
6 m: N! R3 u# Y5. 3. 2.271534568604568 0.8 H7 _$ w) z3 v6 [: s/ L+ o* m
5. 3. 6.603465431395431 0.# G4 P2 c2 M4 h6 x' ?0 b5 Z
5. 3.5 2.249335186315031 0.4 Y0 Y+ o( ?, P! [9 q8 k% j* ^
5. 3.5 7.78007657839085 0.
$ z/ `# x6 V6 [' ]. O4 C5. 4. 2.298437881283576 0.
9 v1 y" k+ ^( n/ N5. 4. 8.701562118716424 0.& a& H% A0 h- y# C' o! V; z8 L
5. 4.5 2.386074153449668 0.
) a* V. R7 |" [8 D, k5. 4.5 9.429715320234545 0." ~4 E( [1 a1 O' T8 `- N
5. 5. 2.5 0.
: t3 t2 b0 L, @$ Q1 }# A$ z5. 5. 9.999999999999993 0.5 X% g3 f3 Y: L5 H
5. 5.5 2.635001373375082 0.
' F; L5 p3 E) F' N! D/ r* D5. 6. 2.789031160980821 0.( O* ~5 B0 k5 X3 G
5. 6.5 2.961827475384206 0.% a& Z% K) m6 R. |2 f
5. 7. 3.154404956432853 0.- T( q6 U. Z$ t) s5 S1 W/ U
5. 7.5 3.368956325934996 0.: A; w8 [5 f! `/ ~
5. 8. 3.609045829068848 0.8 a$ j; F2 c0 N, B& X2 K
5. 8.5 3.880150804346176 0.2 w& q. g: C8 f! H
5. 9. 4.190822529142221 0.2 v. J9 z4 k' g/ n9 |; [ T
5. 9.5 4.555265557190405 0.: D, A" F# ?& R) q& [% o1 U u z
5. 10. 4.999999999999997 0.
9 }. Z) X6 j, T+ H! U, t5. 10. 10. 0.; s& N- {2 c% f( O/ b
5.5 2.5 3.292157134434847 0.
' l4 Y2 |4 q8 h' e* @5.5 2.5 4.176592865565167 0.
: E7 U" V3 e( Y5.5 3. 2.583225948048685 0.
$ d( l0 u2 v! i: `% g6 ^) b5.5 3. 6.387362287245431 0.& L* j# M8 _& L! W. F, R* X
5.5 3.5 2.476297487447864 0.
" q4 X+ P. H# O7 P: t' k5.5 3.5 7.773702512552133 0.
8 { y1 B* Q# O- N5 c; A7 T5.5 4. 2.483445700017513 0.
( ]5 d/ {1 i# [% \7 k5.5 4. 8.858659563140384 0.: g h+ v- ~6 @& S0 k6 _! a
5.5 4.5 2.543211996792689 0.
4 z; O3 y; [4 d; ^4 ?% i0 ^5.5 4.5 9.731788003207313 0.
( [9 f& {9 E" D& ~5.5 5. 2.635001373375081 0.) ^: C- c/ w- u% t) g
5.5 5.5 2.749999999999999 0.
) W; z0 K: Q$ f2 j0 f3 n5.5 6. 2.884119329429114 0.
: H- ^4 C, e/ W' f# R3 G5 b, N5.5 6.5 3.035604845963815 0.
. d* f/ |3 B/ N7 q; G, L5.5 7. 3.204083523261024 0.
7 B( w9 V7 `& P* d; `; J5.5 7.5 3.390173520212255 0.* \/ w8 f, M& G
5.5 8. 3.595369279178611 0.. ]5 i, G5 Y$ \ c+ q2 r& K+ s, c+ T2 Z
5.5 8.5 3.822111065390602 0., L, W) i; z0 L4 G
5.5 9. 4.074041860443781 0.
' a. v, ^ e9 r0 c1 Y" [5.5 9.5 4.356541541407054 0.
+ D3 j g, c! g% A' R2 m: A8 W5.5 10. 4.677786777828594 0.; x/ B" R4 ?% {( {! u8 y0 t$ A
6. 3. 3. 0.& u- G1 `9 o2 F3 L U8 s; S# b
6. 3. 5.999999999999999 0.
. _, ?9 p |; A* O8 E6. 3.5 2.745300211529266 0.0 }- q6 C: Z& m' b+ G& N+ Y/ h
6. 3.5 7.649436630575996 0.
" r: f+ P+ S y+ t: y: E) m8 Q: w6. 4. 2.695165060747994 0. x' { _: M* t; R* d: I
6. 4. 8.904834939252005 0.
6 c$ g4 `# G2 T9 ^6. 4.5 2.721364796483262 0. c- o' L4 ] B: M+ u3 t
6. 4.5 9.92149234637388 0.
1 ~4 T" O4 }. x: }/ y. g6. 5. 2.78903116098082 0.: f! S0 g1 O2 J G% b
6. 5.5 2.884119329429112 0.) {+ r; M+ {6 Y# M6 X
6. 6. 3. 0.
8 T: V5 B4 u A7 E; s0 Y) A8 e' h6. 6.5 3.133381054885423 0.6 F) M1 Y" _+ D9 a. }! r. ]
6. 7. 3.282742465037893 0.
0 @ A9 q6 m& n% s' P- u6. 7.5 3.447656821925362 2.273736754432321e-013
' q) Q# {! N& C( E% X! o9 }& {6. 8. 3.628486395311015 0.
4 y# z4 z5 U0 k o. x6. 8.5 3.826272163735232 0.
! Y- D% |8 Y/ b1 q6. 9. 4.042747591121993 0.4 A+ Z. s T9 t# A+ s
6. 9.5 4.280465505524228 0.; {+ e# Q* k) M b' V
6. 10. 4.543069137209136 0.
8 @3 ], {, c' K# c4 w! c6.5 3. 3.692013773129525 0.. a* h& K. U5 f9 c
6.5 3. 5.281670437396786 0.
. i. r( a/ K; d4 S6.5 3.5 3.073844239487251 0.
: v- T+ f5 L) G6.5 3.5 7.401155760512746 0.
6 E. T R, l/ ?" O- i' Q! W6.5 4. 2.938916502606827 0.) F2 U t! s; J) ~. {& x8 A( m
6.5 4. 8.846797783107464 0.: t: j5 j$ ~9 \0 Q: s, l) N
6.5 4.5 2.922185008548724 0.
W d5 z6 }3 b! P: P& _3 d3 t6.5 5. 2.961827475384206 0./ ?2 B$ G9 u1 o0 e6 E( D) |
6.5 5.5 3.035604845963813 0.
, m( }( `( W# m/ M( _6.5 6. 3.133381054885422 0.
6 _0 [6 ]* V) u7 t8 J. T3 r' J) ?6.5 6.5 3.25 0.2 A/ y1 G+ F! m/ L( i% p
6.5 7. 3.382753896487015 0.' U" \; c' n4 R% k' r3 u
6.5 7.5 3.530313399868478 0.
" j3 R/ j% U6 }+ J) }& a- _6.5 8. 3.692229149874506 0.
% d6 ?* S# `& F2 d/ E6 w5 S6.5 8.5 3.868693727795107 0./ p0 r. p# L' Y% ?7 K8 C [
6.5 9. 4.060441442861232 0.
8 F' k. }1 E% Z- o k6.5 9.5 4.268736592110795 0.+ J; ^8 X" k' ?* e7 }
6.5 10. 4.495435882583067 0.
0 y; V: Y x0 G$ x4 X7 H7. 3.5 3.500000000000001 0.
! c7 m' h6 F* }7. 3.5 7. 0.3 |. ?& y. y4 l; `5 v
7. 4. 3.223865764386255 0.6 `( t+ {/ p8 F' n$ T& }
7. 4. 8.685225144704656 0.5 u6 P! ? ] z* Y# n$ g
7. 4.5 3.14900078022921 0.. b8 j$ u' B* ?% W/ h
7. 5. 3.154404956432853 0.
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7. 6.5 3.382753896487015 0.* Y" N3 s9 n& H. }' A3 p6 E" d2 i
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7.5 5.5 3.390173520212255 0.1 Q( f. e, W7 y$ N
7.5 6. 3.447656821925362 0.
6 V4 H7 ]" z* a3 ]3 m# G5 \7.5 6.5 3.530313399868477 0.
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