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Htdp27.key
1.
(VARIATION ON A
THEME)
2.
<<Powered by MindHD
for MacOSX>>
3.
-
4.
5.
6.
EX 27.1.1 sierpinski
draw-triangle, too-small?
7.
27.2
/ 1. empty 2. (cons s f) : s f
8.
,
. 'NL : NewLine symbol
9.
10.
11.
27.3
12.
TOLERANCE
13.
14.
EX 27.3.1
15.
27.4 http://en.wikipedia.org/wiki/Newton's_method
16.
17.
27.5
18.
28
19.
28.1
20.
21.
22.
EX 28.1.2
23.
28.2
24.
29
. , .
25.
29.1
, (Abstract Running Time) .
26.
27.
K
, K=2 N.
28.
SORT -> N^2
N/2 -> N insert N -> N*N N*N + N -> N*N
29.
MAX -> 2^N
30.
29.2 '
' F - 1000 G -1
31.
32.
-
??? c bigEnough bigEnough<=n f O(g) . f(n) <= c*g(n) f(N) = 1000*N, g(N)=N*N 1000<=n bigEnough = 1000, c = 1 f(n) <= 1 * g(n) f O(g)
33.
max -> O(2^N) max2
-> O(N) . , n->10 : max -> 2^10, max2 ->10 max2 2 , n->10 : max->2^10, max2->20 max2 2 , n->100 : max->2^100, max2->200
34.
29.3
-' ' .( , hashtable) (build-vector N f) = (vector (f 0) ... (f (-N 1))) (vector-ref (vector V-0 ...V-n) i) = V-i (vector-length (vector V-0 ..V-n)) = (+ n 1) (vector? (vector V-0 ...V-n)) = true