14 2 Scilab Scilab GUI インタグラフ プリタ描画各種ライブラリ (LAPACK, ODEPACK, ) SciNOTES ハードウェア (CPU, GPU) 21 Scilab SciNotes 呼び出し 3 変数ブラウザ 1 ファイルブラウザ 2 コンソール 4 コマンド履歴
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1 13 2 Scilab Scilab Scilab 21 Scilab Scilab[4] INRIA C/C++, Fortran LAPACK Matlab Scilab Web Windows 10/8x MacOS X, Linux Scilab Octave Matlab (Matlab Toolbox) (Mathematica Web 22 Scilab Scilab GUI 22 Windows GUI GUI Scilab (sce Scilab
2 14 2 Scilab Scilab GUI インタグラフ プリタ描画各種ライブラリ (LAPACK, ODEPACK, ) SciNOTES ハードウェア (CPU, GPU) 21 Scilab SciNotes 呼び出し 3 変数ブラウザ 1 ファイルブラウザ 2 コンソール 4 コマンド履歴 22 Scilab Windows GUI ) 2 Scilab 3 Scilab 4 Scilab Scilab Scilab
3 22 Scilab 15 1 Scilab (SciNotes) Scilab ) Scilab SciNotes Scilab IEEE754 (8 Byte, 2 53bits, ) (variable) Vec vec -->Vec = 3 Vec = Vec >vec = 2 vec = 2 clear -->Vec Vec = Vec 3 -->clear Vec Vec -->Vec!--error 4 : Vec Vec ; -->Vec = 3 Vec 3 Vec Vec = 3 -->Vec; Vec
4 16 2 Scilab -->Vec Vec = Vec 3 -->Vec + vec Vec vec 5 -->Vec - vec Vec vec 1 -->Vec * vec Vec vec 6 -->Vec / vec Vec vec 15 Scilab (x y ) 2 -->2ˆ(1/2) >2ˆ(05)
5 >sqrt(2) Scilab format 16 -->2ˆ(1/3) >format(20) 20 -->2ˆ(1/3) /3 = Scilab ( ) ( ) inputsce Scilab (11 ) SciNotes C++ //( ) input 1: 1: // 2: a = input("a > "); // 3: b = input("b > "); a, b
6 18 2 Scilab 3 a, b} \verbdisp printf 4: ( ) 5: // 6: disp("a = "); disp(a); // 7: printf("b = %2517e\n", b); // C printf SciNotes a 3 b 4 a > 3 3 b > 4 4 a = b = e+00 a + b a - b 8: ( ) 9: // 10: disp("a + b = "); disp(a + b); 11: printf(" a - b = %2517e\n", a - b); 24 Scilab Scilab % π = %pi e = %e -->format(20) -->%pi %pi =
7 >%e %e = i = 1 %i -->%i %i = i -->%iˆ2-1 -->c = * %i c = 3 + 2i complex -->c = complex(3,2) c = 3 + 2i 21 c = 2 + 3i, d = 2i 1 ic + (3 + 2i)d 2 ( i)cd
8 20 2 Scilab 25 (list) [ ] (,) -->a = [1, 2, 3] a = ; -->a = [1; 2; 3] a = ( ) -->a = [1; 2; 3] a = >a ( ) -->a = [1+%i; 2 + %i; 3+%i] a =
9 i 2 + i 3 + i -->a 1 - i 2 - i 3 - i -->a 1 + i 2 + i 3 + i v = 3 2 1, w = v + w, w v, 2v Scilab Scilab v vec_v w vec_w vec_v = [3; 2; 1] vec_w = [-4; -3; -2] -->vec_v + vec_w >vec_w - vec_v - 7-5
10 22 2 Scilab >2ˆ(1/2) * vec_v a = [ ] T, b = [ ] T Scilab a 3a + 2b b (a 5b) + 4b Scilab prob22sce 2 c = [2 + 3i 2 3i] T, d = [2i 3i] T C 2 a ic + (3 + 2i)d b ( i)cd T 26 A, B R A = 4 5 6, B = mat_a, mat_b mat_a = [-1, -2, -3; -4, -5, -6; -7, -8, -9]; mat_b = [-9, -8, -7; -6, -5, -4; -3, -2, -1]; A + B, A B, AB mat_a + mat_b mat_a - mat_b mat_a * mat_b
11 27 23 mat_a * vec_v mat_b * vec_w 23 A, B R 4 4 A = , B = A + 2B 2 A 2 3 3A 2 + 4B 27 Scilab C/C++ do, while, for 3 for for for = :( :) end; 1 v = [ ] T R 5 vec_v vec_v = [] // ( ) for i = 1:5 vec_v(i) = -i; end; disp("vec_v = "); disp(vec_v); // vec_v for A R n n
12 24 2 Scilab A = [ (i + j) 1] n i,j=1 = 1 2 n 2 3 (n + 1) n (n + 1) (2n 1) n = 5 mat_a = []; // ( ) n = 5; // for i = 1:n for j = 1:n mat_a(i, j) = -(i + j - 1); end; end; disp("mat_a = "); disp(mat_a); // mat_a B R n n B = n n 1 1 n 1 n = [n max(i, j) + 1] n i,j=1 n = 5; // 5 b = []; for i = 1:n for j = 1:n b(i, j) = n - max(i, j) + 1; end; end; disp("b = "); disp(b); inv disp("bˆ(-1) = ") b_inv = inv(b); disp(inv(b)); BB 1 = I n
13 27 25 disp("b * bˆ(-1) = "); disp(b * b_inv); eye disp(" I - B * Bˆ(-1) _2 = ") disp(norm(eye(n,n) - b * b_inv)) 24 H R n n H = [1/(i + j 1)] n i,j=1 = 1 1/2 1/n 1/2 1/3 1/(n + 1) 1/n 1/(n + 1) 1/(2n 1) n N n hilbertsce n = 3, 4, 5
31 4 MATLAB A, B R 3 3 A = , B = mat_a, mat_b >> mat_a = [-1, -2, -3; -4, -5, -6; -7, -8, -9] mat_a =
3 4 MATLAB 3 4. A, B R 3 3 2 3 4 5 6 7 8 9, B = mat_a, mat_b >> mat_a = [-, -2, -3; -4, -5, -6; -7, -8, -9] 9 8 7 6 5 4 3 2 mat_a = - -2-3 -4-5 -6-7 -8-9 >> mat_b = [-9, -8, -7; -6, -5, -4; -3, -2, -]
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