1 01,0,1,0

i0,1,1,0 (1111) (0000)(1110) (0001)(1101) (0010)(1011) (0100)(1010) (0101)ii 11001000110010101001

0+0=01+0=0+1=11+1=0 11110000

(3,3) (0,0)H~W A(3,3) O(0,0) 1-2 1-2 , , , , ,,4,., 5,

ABCDEFGHIJKLMNOPQRSTUVWXYZ KLMNOPQRSTUVWXYZABCDEFGHIJ

ABCDEFGHIJKLMNOPQRSTUVWXYZ CONSTRUABDEFGHIJKLMPQVWXYZ ABCDEFGHIJKLMNOPQRSTUVWXYZ KLMPQVWXYZCONSTRUABDEFGHIJ

cugmyoahpznbiqsdjvrtekwrflx

3 ABCDEFGHIJKLMNOPQRSTUVWXYZ DEFGHIJKLMNOPQRTSUVWXYZABC

THE HISTORY OF ZJU IS MORE THAN ONE HUNDRED YEARS.7THEHISTORYOFZJUISMORETHANONEHUNDREDYEARStouthyhrihueeysanahomndrifoorsszrnetjeed

constructMATHEMATICAL MODELING IS USEFULCONSTRUCT 1 4 3 675 9 28MATHEMATICALMODELINGISUSEFU L MCNLTLFTLIAAGMDSHMSEOSIIUAEE

26 t,a,o,i,n,s,h,r; e; d,l; c,u,m,w,f,g,y,p,b; v,k,j,x,q,z;

th,he,in,er,an,re,ed,on,es,st,en,at,to,nt,ha,nd,ou,ea,ng,as,or,ti,is,er,it,ar,te,se,hi,of The,ing,and,her,ere,ent,tha,nth,was,eth,for,dth 26

1929 ABC DE FG H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0

A 26 JXCPI WEK

key

Dear Mac God forbid.

pqn=pq (n) =(p-1)(q-1)p,q 100, n=pq, n p,q(n) =(p-1)(q-1) ee(n) dr ed+r(n) =1 ed 1 (mod (n)) n,ed ne p,q, (n) d

p=47q=59, N=pq=2773,(n)=(p-1)(q-1)=2668.e=17(n) pqd=157(e,n)=(17,2773)(157,2773). I love zhejiang university 00A01B02Z26 0900 1215 2205 0026 0805 1009 0114 0700 2114 0922 0518 1909 2025 (17,2773)

s(t) K si(i=1,,k)

4.6

Sj+1=SjM

an=0,1,2,ian,bncnn AA,Aaaa x (n)n

b(ii)nAAn1AAAAAAn1AaAAAA 1/2 n1aaAA AAn=1,2(4.2)(4.3)(4.4)

4.24.34.4(I)(4.2).(4.3)(4.4)M (4.5)

4.5

P-1=P

AA AA

M

AAaa

biiin1n

x(0) n M

=(4.8) (4.8)1/2 (4.9)

c 4.9(4.10)

20005922 28 Aa Apaq=1-p AAAaaa p22pqq2 F aa

(F=0) a aa F AA p2+FpqAa 2pq(1-F)

aaa

1/16,

q2=10-4 7.19

(A,AA)2/3(a,aa)1/3

34.7S4

rnrnn Irr OrsRsr SssSnnsF=(IS) -1F

p0

T

Fq=1-pa2 4123

6

ai(t)t n4.15 4.16 4.16 c1c2 4.15

4.15

4.17 (C1,,Cn)

t ( )xt Pt xM*Mt

M* M* M* M*

4.214.194.214.204.224.22

4.22 r

It

4.12 y0=1600y1=1700 G=550 y2=1862.5, y3=2007.8, y4=2110.3, y5=2171.2, y6=2201.2, y7=2212.15, y8=2213.22, y9=2210.3,

5

y6=21y7=19 5 t=1,2,,20

a0=0.6937,a1=0.8737,a2=0.1941,t21 y21=17.58y25=19.16

Logistic 4.254.25 4.26,(4.26)4.27