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Matlab

????. ????????????????????????plot???????????????????????. ??. MATLAB?Matrix Laboratory(?????)???,?Mathematica?Maple?????????? 20??70??,????????????????Cleve Moler?FORTRAN??????MATLAB?1984??Little?Moler?Steve Bangert??????MathWorks?????MATLAB?????. MATLAB??. . ????. >> (1 2*5-4)/2ans = 3.50000000000000??????:?( ),?(-),?(*),?(/),??(^)>> 2^10ans = 1024.

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Matlab

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    1. Matlab ?????? ?? ????

    2. ???? ???? ????? ???? ???? ??????? plot ???? ??????? ????? ???????

    3. ?? MATLAB?Matrix Laboratory(?????)???,?Mathematica?Maple?????????? 20??70??,????????????????Cleve Moler?FORTRAN??????MATLAB? 1984??Little?Moler?Steve Bangert??????MathWorks?????MATLAB?????

    4. MATLAB??

    5. ???? >> (1+2*5-4)/2 ans = 3.50000000000000 ??????:?(+),?(-),?(*),?(/),??(^) >> 2^10 ans = 1024

    6. ???? ????,Matlab??????????ans ??????????????,?y >> y=(1+2*5-4)/2 y = 3.50000000000000 ???????? ??:Matlab?????????double??,??????

    7. Matlab???? eps:?????? exp:???????e i ? j:?????? inf:???, ??1/0 NaN:???(Not a number),??0/0 pi:??? p(= 3.1415926...) realmax:??????????? realmin:???????????

    8. ?? ???????: 1. ?????,?:M?m?? 2. ??????????,????????????? 3. ????????31?(matlab7) 4. ??????????,?i,j (???)

    9.

    10. ?????? ????????format????? ??:format???????,????????? Matlab??????????? format short ??? format long ??? format short e ???e?? format long e ???e?? format bank 2?????? ?:??file>preferences>command window??

    11. ?matlab????????????????????????mat????? 1. save 覧 ?????????????matlab.mat???? 2. save data覧?????????????data.mat???? 3. save data a b 覧??????a?b????data.mat???? ????matlab????load????????mat??? ????????

    12. ?load 覧 ?load data 覧 ?load data a b 覧 mat???????????,???ASCII??????

    13. ???? sin,cos,tan,cot,sec,csc,asin,acos,atan,acot,asec,acsc,sinh,cosh,tanh sqrt (?????),exp (e???),pow2(2???),log(????,?e??),log10,log2,abs(????????) real(???),imag(???),angle(???),sign(????) round(??????),floor(?-inf??),ceil(?+inf??) ,fix(?0??) ???????????????,??????(??)?,???????????????

    14. ????? ???????? ????????????????,matlab????????????? ???????????,??????????

    15. ??,?????? sin,cos,tan,cot,sec,csc,asin,acos,atan,acot,asec,acsc,sinh,cosh,tanh sqrt (?????),exp (e???),pow2(2???),log(????,?e??),log10,log2,abs(????????) real(???),imag(???),angle(???),sign(????) round(??????),floor(?-inf??),ceil(?+inf??) ,fix(?0??)

    16. ??????? Matlab????????????(???????????),???????????? ??:?Matlab?,???????????????????????????????

    17. ??????? >> M=[1,2,3;4,5,6] M = 1 2 3 4 5 6 ??????????????,????? ?????[ ]?? ?????????????,??????????????

    18. ??????? >> M=[1 2 3 4 5 6] >> M=[1 2 3; 4 5 6] >> M=[1 2,3 4,5 6]

    19. ?????????matlab??? ,????? ,??????, M1=[sqrt(2),pi/2;7^(1/2),3+5i] ????

    20. ????? ??????????????(????),?????1? 0:10 0:2:10 10:-1:0 ???????????????? ?????

    21. ?????????? ??????????????(???1??),?????? M=[1,2,3,4;5,6,7,8;9,10,11,12;13,14,15,16] m=M(3,2) (Matlab?????,m?M??) a1=M(1,2:3) a2=M(2,:) a3=M(4:-1:1,2) ?????????? M(2,2)=pi

    22. ???? (?)plot 覧 ?????????? plot???: plot????????????Figure ???????????????? ???????????????,????????????????????,??????,??x, y ????????

    23. ????????????,plot?????????,????? ?????????;?????????;???????????;?????? ???????????? ????????????????

    24. plot????? plot(x) 覧 ?????????,x???, ?x???????,????????????? plot(x,y) 覧 ????,?y(x)????????????,??y?nﾗm???,??x ????,??m??? plot(x1,y1,x2,y2) 覧 ????????

    25. plot(x,y,痴) 覧 ????,??????s???????????, ?: plot(x1,y1,馳*,x2,y2,池O,)

    26. S????????: ?? ?? ?? ?? y ?? ｷ ?? m ?? ? ?? c ?? ﾗ ﾗ? r ?? + +?? g ?? - ?? b ?? ? ??? w ?? : ?? k ?? -ｷ (--) ???

    27. v ??? ^ ??? < ??? > ??? square ??? diamond ?? pentagram ??? hexagram ???

    28. ???????? x=[0, 0.48,0.84,1,0.91,0.6,0.14] plot(x)

    29. ???????? t=0:pi/100:2*pi; y=sin(t);y1=sin(t+0.25);y2=sin(t+0.5); plot(t,y,t,y1,t,y2)

    30. y=sin(t);y1=sin(t+0.25);y2=sin(t+0.5); y3=cos(t);y4=cos(t+0.25);y5=cos(t+0.5); plot(t,[y,y1,y2,y3,y4,y5])

    31. y3=cos(t);y4=cos(t+0.25);y5=cos(t+0.5); plot(t,y3);hold on; plot(t,y4); plot(t,y5);

    32. ?plot??????? sin,cos,tan,cot,sec,csc,asin,acos,atan,acot,asec,acsc,sinh,cosh,tanh sqrt (?????),exp (e???),pow2(2???),log(????,?e??),log10,log2,abs(????????) real(???),imag(???),angle(???),sign(????) round(??????),floor(?-inf??),ceil(?+inf??) ,fix(?0??)

    33. ?matlab?????? ?? [ ] matlab??????,?????????,????? rand 覧 ????(?0?1??????) randn 覧 ????(??????) eye 覧 ????1,???0??? zeros 覧??????0??? ones 覧??????1???

    34. >> plot(rand(1,1000)) >> plot(randn(1,1000))

    35. ???? ???????randn????????? ??N(5,2^2)

    36. ?????(+,-)?? ??: ? ???????????????????????????? ? ??????????????????????????????????? ????

    37. ???(?)?? ??: A?????????B????? ??????????? a=[1 2 3;4 5 6;7 8 0];b=[1;2;3];c=a*b c =14 32 23

    38. d=[-1;0;2];f=pi*d f = -3.1416 0 6.2832 ??????????????,???????,?matlab????????? A/B A\B

    39. a ^ p 覧 a ??p?? ????覧 a^n,a^p,p^a

    40. a=[1,2,3;4,5,6;7,8,9];a^2 ans =30 36 42 66 81 96 102 126 150

    41. inv 覧 ???? A/B=A*inv(B), A\B=inv(A)*B det 覧 ????? eig 覧 ?????? diag 覧 ???? 覧 ????(?????????) sqrt 覧 ???? ???????

    42. ????????? ????? a=[1:12];b=reshape(a,3,4) ????? rot90:??; fliplr:???; flipud:??? ????? diag:??????;tril: ?????; triu:?????

    43. ???????????????, ????????????????? ?????? ????(.+,.-) a.+b a.- b ???????

    44. ????(??,./,.\) a??b 覧 a,b?????????? ???????????? a=[1 2 3;4 5 6;7 8 9]; b=[2 4 6;1 3 5;7 9 10]; a.*b ans = 2 8 18 4 15 30 49 72 90

    45. a=[1 2 3;4 5 6;7 8 9]; b=[2 4 6;1 3 5;7 9 10]; a*b ans = 25 37 46 55 85 109 85 133 172

    46. a./b=b.\a a.\b=b./a a./b=b.\a ??a????b???? ?? a.\b=b./a ??a????b???? ?? ?: a=[1 2 3];b=[4 5 6]; c1=a.\b; c2=b./a c1 = 4.0000 2.5000 2.0000 c2 = 4.0000 2.5000 2.0000

    47. ?? A=[1,2,3;4,5,6] 2.^A (??2???????2??A??? ???) A.^2

    48. ???? ????????????????,???????(??????,?????????) max (???),min(???),sum(??),length(??),mean(???),median(???),prod(??),sort(??????)

    49. ???? size(????),det(???),rank(?),inv(???),eig(???),trace(?),norm(??)

    50. ???? Matlab?0?????,?????0??????????? ??????? &???,|???,~??? (???????) && ???, || ??? ?????? all(M) ?????,???????,???? ?????,???? any(M) ?????,???????,???? ?????,????

    51. ???? ?????: < , > , <= , >= , == , ~= ?????,????????????,?????????? ??:??????????????,?????????????? ?: 10+eps==10 10+4*eps==10 10+5*eps==10 1+eps==1

    52. ????? 1. () 2. . , , .^ , ^ 3. ????(???)+,-, ???~ 4. *, \ , / , .* , ./ , .\ 5. +, - 6. : 7. >, >=, <, <=, ==, ~= 8. & 9. | 10. && 11. ||

    53. matlab????? matlab??????????????????,??????,????,????? (1).???? 覧 ????????????? (2).???? 覧 ??????????,???????????????? ???????:

    54. ???: for i = ??? (????????) ????? end ?:??for???1!+2!+3!+ ??? +5!?? sum=0; for n=1:5 pdr=1; for k=1:n pdr=pdr*k; end sum=sum+pdr; end

    55. ? while end ?? while??????????????????? ???:while ??? ????? end ?????????????????????????,???????????;??????? ?0,????;???????0,?????

    56. ?:?while???1~100????? sum=0; n=1; while n<=100 sum=sum+n; n=n+1; end sum sum = 5050 ?:matlab??????????,??????? sum(1:100)

    57. (3). ????覧????????????? ?? if else end???3??? ? if ??? ???? end ? if ??? 覧 ? ??1 else 覧覧 ? ??2 end

    58. ? if ???1 覧 ??? ??1 elseif ???2 ??2 elseif ???3 ??3 ｷ ｷ ｷ else ??n end

    59. SWITCH switch_expr CASE case_expr1, statement1; CASE case_expr2 statement2; CASE case_expr2 statement3; ... OTHERWISE statements END

    60. ??????[-2,2]?????,?????

    61. ??

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