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1 :, HP.. HP 4 (, PGM/PPM )., python,,, 2, kadai4,.,,, ( )., ( ) N, exn.py ( 3 ex3.py ). N 3.., ( )., ( ) N, (exn.txt).. 1

2 ( ) kadai4, kadai4.zip.,. 3 cos x [ π, π] Python. ( 100 ), x cos x ( ). (, ). def print cos(): print cos() : for ( 4 10 ) print ( 4 8 ) cos ( 4 3 )., (>). python ex1.py > cos.dat,, gnuplot. gnuplot 2

3 gnuplot, (gnuplot>). G N U P L O T Version 4.2 patchlevel 4 Send bug reports and suggestions to < Terminal type set to wxt gnuplot> (gnuplot> ), plot cos.dat. plot cos.dat with lines,. gnuplot gnuplot>, Ctrl-d (Ctrl d)., gnuplot. gnuplot, plot. gnuplot, gnuplot., ( : show.gpl) plot cos.dat pause -1, gnuplot show.gpl.. Excel., (,),.csv (print x,,, cos(x)).,,, gnuplot ( )., Excel. 3

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5 :, for print, print fib print. def print fib(n): print fib(10) a, b, 2 u 0, u 1 n 2, n (u n ),., a = b = 1, u 0 = u 1 = 1. u n + au n 1 + bu n 2 = 0 (n 2). def print recurrence(a, b, u0, u1, n): print recurrence( 1, 1, 1, 1, 10) 5

6 7, a = 1, b = 1, 3. a = 0, b = 1, 4, a = 1, b = 1, 6.., 5 a, b?, (gnuplot ). 13?, x 2 + ax + b = 0 2 α, β. α = β, α β, u n = Aα n + Bβ n (A, B u 0, u 1 ). 8 (, ). a, b, u(0), u (0), t, u(t). u (t) + au (t) + bu(t) = 0. def solve de(a, b, u0, u 0, t): solve de(0, 1, 1.0, 1.0, 10.0) t, 0 t, ( t, u(t)), gnuplot. a, b (, a, b ),, ( ). 6

7 : Excel. t u(t), u (t), u(t + t) t u (t), u (t), u (t + t) t u (t), u (t) u (t), t u(t), u (t), u(t + t), u (t + t). u(0), u (0) u( ). Excel,,. (1), ( ).,, u (t) + u (t) 2 + log u(t) = 0 u (t) + sin u(t) + log t = 0,., u t, u(x, y, t) ( ),.,,,,,. (2) t, u(t) t, LCR. a = 0, b > 0 (ma = kx). a > 0, a (ma = av kx) ( ). b > 0, b,,.. a > 0,,.., : x 2 + ax + b = 0 2 α, β. α = β, α β, u(t) = Ae αt + Be βt (A, B u(0), u (0) ). α, β (, e αt ).,,,, α, β. 7

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11 def print blue ppm(): print P3 print 512,256 print 255 for for print print blue ppm() 11 2 PPM, 2. xy [ 2.0, 2.0] [ 1.0, 1.0], f(x, y) = x2 4 + y2 PPM. PPM ( ex11.ppm) f(x, y) 0 (0 0 0), 2.0 ( ),. :.. x ( ), int(x).,. 12 (),.., n c. z 0 = c z n = z 2 n 1 + c (n 1) z n,. c. N, z 0, z 1,, z N 1 ( ) 2 11

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