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1 (2018)
2 p(x) = a n x n + a n 1 x n a 1 x + a 0 = n a n x n k=0
3 p(x) = a n x n + a n 1 x n a 1 x + a 0 = n a n x n k=0 1 a k x k = a k {{ x x x
4 p(x) = a n x n + a n 1 x n a 1 x + a 0 = n a n x n k=0 1 a k x k = a k {{ x x x 2 x x k x k = x x k 1 x k 1
5 p(x) = a n x n + a n 1 x n a 1 x + a 0 = n a n x n k=0 1 a k x k = a k {{ x x x 2 x x k x k = x x k 1 x k 1 ( 3 x (x(xa ) ) n + a n 1 ) + a n 2 + a1 + a 0
6 p(x) = a n x n + a n 1 x n a 1 x + a 0 = n a n x n k=0 1 a k x k = a k {{ x x x 2 x x k x k = x x k 1 x k 1 ( 3 x (x(xa ) ) n + a n 1 ) + a n 2 + a1 + a 0 {{ n
7 p(x) = a n x n + a n 1 x n a 1 x + a 0 = n a n x n k=0 1 a k x k = a k {{ x x x 2 x x k x k = x x k 1 x k 1 ( 3 x (x(xa ) ) n + a n 1 ) + a n 2 + a1 + a 0 {{ n
8 n 2 double _simple(double x, double *a, int n) { int i, k; double s, t; s = 0; for (k = n; k >= 0; k--) { t = 10; for (i = 1; i <= k; i++) { t *= x; s += a[k] * t; return s;
9 n 2 double _simple(double x, double *a, int n) { int i, k; double s, t; s = 0; for (k = n; k >= 0; k--) { t = 10; for (i = 1; i <= k; i++) { t *= x; s += a[k] * t; return s; k n k 2 = n(n + 1)/2 1 2n
10 Honer n double _honer(double x, double *a, int n) { int i, k; double s, t; s = a[n]; for (k = n - 1; k >= 0; k--) { s = s * x + a[k]; return s;
11 Honer n double _honer(double x, double *a, int n) { int i, k; double s, t; s = a[n]; for (k = n - 1; k >= 0; k--) { s = s * x + a[k]; 1 2n return s;
12 pow() double _power(double x, double *a, int n) { int i, k; double s, t; s = 0; for (k = n - 1; k >= 0; k--) { s += a[k]*pow(x, k); return s;
13 pow() double _power(double x, double *a, int n) { int i, k; double s, t; s = 0; for (k = n - 1; k >= 0; k--) { s += a[k]*pow(x, k); 1 2n 1 n return s;
14 gettimeofday #include <sys/timeh> int gettimeofday( struct timeval tv, struct timezone tz) struct timeval { time_t tv_sec; /* */ suseconds_t tv_usec; /* */ ; struct timeval ts, tf; gettimeofday(&ts, NULL); /* */ gettimeofday(&tf, NULL); /* */ tftv_usec - tstv_usec; /* */
15 gettimeofday #include <sys/timeh> int gettimeofday( struct timeval tv, struct timezone tz) struct timeval { time_t tv_sec; /* */ suseconds_t tv_usec; /* */ ; struct timeval ts, tf; gettimeofday(&ts, NULL); /* */ gettimeofday(&tf, NULL); /* */ tftv_usec - tstv_usec; /* */ POSIX1-2008
16 clock_gettime #include <timeh> int clock_gettime( clockid_t clk_id, struct timespec res) struct timespec { time_t tv_sec; /* */ long tv_nsec; /* */ ; clockid_t clk = 1; struct timespec ts, tf; clock_gettime(clk, &ts); /* */ clock_gettime(clk, &tf); /* */ tftv_nsec - tstv_nsec; /* */
17 1 2
18 1 2
19 1 2 3 CPU
20 1 2 3 CPU
21 1 2 3 CPU gcc O gcc - On ***c (n =0,1,2,3)
22 2 g v dv x dt = bv x, dv y dt = g bv y (1) b v 0 θ x(t) = v 0 cos θ ( 1 e bt) (2) b y(t) = 1 ( v 0 sin θ + g ) ( 1 e bt) g b b b t (3) 11 ( ) p14
23 2 1 y 4 t m y > 0 y < 0 t m1 h = t m (3) 0 [ t m1 h, t m1 ] t m2 3 t m2 (3) y(t m2 ) 0 4 x(t m )
24 2 4 rk4fixo rk4fixv6 main x(t), y(t) g = 98 m s 2, b = 10 m 1, v 0 = 98 m s 1 θ mod
25 2 θ = 26 h $ /hw2018a-2 Th = 26 tm = t = , y = e-13 t = , y = e-13 t = , y = e-14 t = , y = e-13 t = , y = e-13 xm =
26 2 θ 3 2 θ = y x
27 2 wasedajp 1Y17B :00 hw2018a-2c
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I117 7 School of Information Science, Japan Advanced Institute of Science and Technology
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1 http://www7.bpe.es.osaka-u.ac.jp/~kota/classes/jse.html kota@fbs.osaka-u.ac.jp /* do-while */ #include #include int main(void) double val1, val2, arith_mean, geo_mean; printf( \n );
重力方向に基づくコントローラの向き決定方法
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December 28, 2018
e-mail : kigami@i.kyoto-u.ac.jp December 28, 28 Contents 2............................. 3.2......................... 7.3..................... 9.4................ 4.5............. 2.6.... 22 2 36 2..........................
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10. : (NMR) ( 1 H) MRI ρ H (x,y,z) NMR (Nuclear Magnetic Resonance) spectrometry: NMR NMR s( B ) m m = µ 0 IA = γ J (1) γ: :Planck constant J: Ĵ 2 = J(J +1),Ĵz = J J: (J = 1 2 for 1 H) I m A 173/197 10.1
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II Karel Švadlenka * [1] 1.1* 5 23 m d2 x dt 2 = cdx kx + mg dt. c, g, k, m 1.2* u = au + bv v = cu + dv v u a, b, c, d R
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数値解析 平成 24 年度前期第 13 週 [7 月 11 日 ] 静岡大学創造科学技術大学院情報科学専攻工学部機械工学科計測情報講座 三浦憲二郎 講義アウトライン [7 月 11 日 ] 関数近似と補間 最小 2 乗近似による関数近似 ラグランジュ補間 形状処理工学の基礎 点列からの曲線の生成 T.Kanai, U.Tokyo 関数近似 p.116 複雑な関数を簡単な関数で近似する関数近似 閉区間
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スライド 1
数値解析 平成 29 年度前期第 14 週 [7 月 10 日 ] 静岡大学工学研究科機械工学専攻ロボット 計測情報分野創造科学技術大学院情報科学専攻 三浦憲二郎 期末試験 7 月 31 日 ( 月 ) 9 10 時限 A : 佐鳴会議室 B : 佐鳴ホール 講義アウトライン [7 月 10 日 ] 関数近似と補間 最小 2 乗近似による関数近似 ( 復習 ) ラグランジュ補間 形状処理工学の基礎
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c y /2 ddy = = 2π sin θ /2 dθd /2 [ ] 2π cos θ d = log 2 + a 2 d = log 2 + a 2 = log 2 + a a 2 d d + 2 = l
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マルコフ連鎖の時間発展の数値計算
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C による数値計算法入門 ( 第 2 版 ) 新装版 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 新装版 1 刷発行時のものです.
C による数値計算法入門 ( 第 2 版 ) 新装版 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. http://www.morikita.co.jp/books/mid/009383 このサンプルページの内容は, 新装版 1 刷発行時のものです. i 2 22 2 13 ( ) 2 (1) ANSI (2) 2 (3) Web http://www.morikita.co.jp/books/mid/009383
x h = (b a)/n [x i, x i+1 ] = [a+i h, a+ (i + 1) h] A(x i ) A(x i ) = h 2 {f(x i) + f(x i+1 ) = h {f(a + i h) + f(a + (i + 1) h), (2) 2 a b n A(x i )
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5 partial differentiation (total) differentiation 5. z = f(x, y) (a, b) A = lim h f(a + h, b) f(a, b) h........................................................... ( ) f(x, y) (a, b) x A (a, b) x (a, b)
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II A A441 : October 02, 2014 Version : Kawahira, Tomoki TA (Kondo, Hirotaka )
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