29 ( ) 90 1 2 2 2 1 3 4 1 5 1 4 3 3 4 2 1 4 5 6 3 7 8 9
f(x) = e x2 25 d f(x) 0 x d2 dx f(x) 0 x dx2 f(x) (1 + ax 2 ) 2 lim x 0 x 4 a 3 2 a g(x) = 1 + ax 2 f(x) g(x) 1/2 f(x)dx 11 0 24 n n A f(x) = Ax (x R n ) 25 A 2 = A A 2 A 2 = A t A = A A t A A 3 n = 2 A 2 = O A f Ker(f) m(f) 1
n (n > 2) x 1, x 2,, x n G A A k (i, j) (A k ) ij 3 G G 50 G A x l x l 3 A = 0 1 1 0 1 0 1 1 1 1 0 0 0 1 0 0 2 G A 3 (A) ij (A 2 ) ij 0 i, j G 2
4 C C i, N i, P i, S i 1 4 50 C = 10 i 1 2 3 4 N i FUN 1 FUN 2 FUN 3 FUN 4 P i 8 9 12 15 S i 3 5 7 8 2 C ( ) C (j = 1, 2,, C) j (V 4 j ) 4 4 (V i j ) j = 1, 2,, 10 i = 1,, 4 2 2 j 1 2 3 4 5 6 7 8 9 10 Vj 1 0 Vj 2 0 Vj 3 0 Vj 4 0 3
2 3 4 i = 1 N 1 j(= 1, 2,,C) (V 1 j ) L j ( ) V 1 j 0 L j i = 2 N 1 N 2 j(= 1, 2,, C) (V 2 j ) L j 2 i = 3 N 1 N 2 N 3 j(= 1, 2,, C) (V 3 j ) L j 2 i = 4 N 1 N 2 N 3 N 4 j(= 1, 2,, C) (V 4 j ) L j 2 C 2 Vj i = Vj i 1 j j S i 0 P i + V i j S i j Vj i V j i P i + Vj S i i L j L j Si N i V k 0 = 0 (k = 1,, 4) 4
50 00 20 T1 10 T2 T1 T2 2 3 4 5
29 ( ) CT 90 1 2 2 2 1 3 4 1 5 1 4 3 3 4 2 1 4 5 6 3 7 8 9
f(x) = e x2 25 d f(x) 0 x d2 dx f(x) 0 x dx2 f(x) (1 + ax 2 ) 2 lim x 0 x 4 a 3 2 a g(x) = 1 + ax 2 f(x) g(x) 1/2 f(x)dx 11 0 24 n n A f(x) = Ax (x R n ) 25 A 2 = A A 2 A 2 = A t A = A A t A A 3 n = 2 A 2 = O A f Ker(f) m(f) 1
n (n > 2) x 1, x 2,, x n G A A k (i, j) (A k ) ij 3 G G 50 G A x l x l 3 A = 0 1 1 0 1 0 1 1 1 1 0 0 0 1 0 0 2 G A 3 (A) ij (A 2 ) ij 0 i, j G 2
4 C C i, N i, P i, S i 1 4 50 C = 10 i 1 2 3 4 N i FUN 1 FUN 2 FUN 3 FUN 4 P i 8 9 12 15 S i 3 5 7 8 2 C ( ) C (j = 1, 2,, C) j (V 4 j ) 4 4 (V i j ) j = 1, 2,, 10 i = 1,, 4 2 2 j 1 2 3 4 5 6 7 8 9 10 Vj 1 0 Vj 2 0 Vj 3 0 Vj 4 0 3
2 3 4 i = 1 N 1 j(= 1, 2,,C) (V 1 j ) L j ( ) V 1 j 0 L j i = 2 N 1 N 2 j(= 1, 2,, C) (V 2 j ) L j 2 i = 3 N 1 N 2 N 3 j(= 1, 2,, C) (V 3 j ) L j 2 i = 4 N 1 N 2 N 3 N 4 j(= 1, 2,, C) (V 4 j ) L j 2 C 2 Vj i = Vj i 1 j j S i 0 P i + V i j S i j Vj i V j i P i + Vj S i i L j L j Si N i V k 0 = 0 (k = 1,, 4) 4
50 00 20 T1 10 T2 T1 T2 2 3 4 5
29 ( ) 90 1 2 1 2 1 3 1 4 5 1 4 3 3 4 2 1 4 5 6 3 5 7 8 9
50 00 2 50 1
50 Atkinson Shiffrin (1968) 150 2 Craik Lockhart (1972) 250 Atkinson, R. C., & Shiffrin, R. M. (1968). Human memory: A proposed system and its control processes. n K. W. Spence & J. T. Spence (Eds.), The psychology of learning and motivation, Vol. 2. New York: Academic Press, pp. 89-195. Craik, F.. M., & Lockhart, R. S. (1972). Levels of processing: A framework for memory research. Journal of Verbal Learning and Verbal Behavior, 11, pp. 671-684. 2
2008 3 50 2 50 2008 pp. 19-21. 3
4 C C i, N i, P i, S i 1 4 50 C = 10 i 1 2 3 4 N i FUN 1 FUN 2 FUN 3 FUN 4 P i 8 9 12 15 S i 3 5 7 8 2 C ( ) C (j = 1, 2,, C) j (V 4 j ) 4 4 (V i j ) j = 1, 2,, 10 i = 1,, 4 2 2 j 1 2 3 4 5 6 7 8 9 10 Vj 1 0 Vj 2 0 Vj 3 0 Vj 4 0 4
2 3 4 i = 1 N 1 j(= 1, 2,,C) (V 1 j ) L j ( ) V 1 j 0 L j i = 2 N 1 N 2 j(= 1, 2,, C) (V 2 j ) L j 2 i = 3 N 1 N 2 N 3 j(= 1, 2,, C) (V 3 j ) L j 2 i = 4 N 1 N 2 N 3 N 4 j(= 1, 2,, C) (V 4 j ) L j 2 C 2 Vj i = Vj i 1 j j S i 0 P i + V i j S i j Vj i V j i P i + Vj S i i L j L j Si N i V k 0 = 0 (k = 1,, 4) 5
29 ( ) 90 1 2 2 2 1 3 1 4 5 1 4 3 3 4 2 1 4 5 6 3 7 8 9
f(x) = e x2 25 d f(x) 0 x d2 dx f(x) 0 x dx2 f(x) (1 + ax 2 ) 2 lim x 0 x 4 a 3 2 a g(x) = 1 + ax 2 f(x) g(x) 1/2 f(x)dx 11 0 24 n n A f(x) = Ax (x R n ) 25 A 2 = A A 2 A 2 = A t A = A A t A A 3 n = 2 A 2 = O A f Ker(f) m(f) 1
n (n > 2) x 1, x 2,, x n G A A k (i, j) (A k ) ij 3 G G 50 G A x l x l 3 A = 0 1 1 0 1 0 1 1 1 1 0 0 0 1 0 0 2 G A 3 (A) ij (A 2 ) ij 0 i, j G 2
D z = x + iy w(z) = u(x, y) + iv(x, y) w u, v Cauchy-Riemann u x = v y u y = v x u, v, x, y R, i = 1 50 u, v 2 u x 2 + 2 u y 2 = 0 2 v x 2 + 2 v y 2 = 0 2 x = r cos θ, y = r sin θ Cauchy-Riemann u r = 1 r v θ v r = 1 r u θ 3 w u u = x 3 + axy 2 a w a v(1, 1) = 0 w v 3
4 C C i, N i, P i, S i 1 4 50 C = 10 i 1 2 3 4 N i FUN 1 FUN 2 FUN 3 FUN 4 P i 8 9 12 15 S i 3 5 7 8 2 C ( ) C (j = 1, 2,, C) j (V 4 j ) 4 4 (V i j ) j = 1, 2,, 10 i = 1,, 4 2 2 j 1 2 3 4 5 6 7 8 9 10 Vj 1 0 Vj 2 0 Vj 3 0 Vj 4 0 4
2 3 4 i = 1 N 1 j(= 1, 2,,C) (V 1 j ) L j ( ) V 1 j 0 L j i = 2 N 1 N 2 j(= 1, 2,, C) (V 2 j ) L j 2 i = 3 N 1 N 2 N 3 j(= 1, 2,, C) (V 3 j ) L j 2 i = 4 N 1 N 2 N 3 N 4 j(= 1, 2,, C) (V 4 j ) L j 2 C 2 Vj i = Vj i 1 j j S i 0 P i + V i j S i j Vj i V j i P i + Vj S i i L j L j Si N i V k 0 = 0 (k = 1,, 4) 5
29 ( ) 90 1 2 2 2 1 3 1 4 5 1 4 3 3 4 2 1 4 5 6 3 7 8 9
f(x) = e x2 25 d f(x) 0 x d2 dx f(x) 0 x dx2 f(x) (1 + ax 2 ) 2 lim x 0 x 4 a 3 2 a g(x) = 1 + ax 2 f(x) g(x) 1/2 f(x)dx 11 0 24 n n A f(x) = Ax (x R n ) 25 A 2 = A A 2 A 2 = A t A = A A t A A 3 n = 2 A 2 = O A f Ker(f) m(f) 1
n (n > 2) x 1, x 2,, x n G A A k (i, j) (A k ) ij 3 G G 50 G A x l x l 3 A = 0 1 1 0 1 0 1 1 1 1 0 0 0 1 0 0 2 G A 3 (A) ij (A 2 ) ij 0 i, j G 2
3 3 3 50 2 3
4 C C i, N i, P i, S i 1 4 50 C = 10 i 1 2 3 4 N i FUN 1 FUN 2 FUN 3 FUN 4 P i 8 9 12 15 S i 3 5 7 8 2 C ( ) C (j = 1, 2,, C) j (V 4 j ) 4 4 (V i j ) j = 1, 2,, 10 i = 1,, 4 2 2 j 1 2 3 4 5 6 7 8 9 10 Vj 1 0 Vj 2 0 Vj 3 0 Vj 4 0 4
2 3 4 i = 1 N 1 j(= 1, 2,,C) (V 1 j ) L j ( ) V 1 j 0 L j i = 2 N 1 N 2 j(= 1, 2,, C) (V 2 j ) L j 2 i = 3 N 1 N 2 N 3 j(= 1, 2,, C) (V 3 j ) L j 2 i = 4 N 1 N 2 N 3 N 4 j(= 1, 2,, C) (V 4 j ) L j 2 C 2 Vj i = Vj i 1 j j S i 0 P i + V i j S i j Vj i V j i P i + Vj S i i L j L j Si N i V k 0 = 0 (k = 1,, 4) 5