Bieu Dien Tri Thuc Va Suy Luan
Transcript of Bieu Dien Tri Thuc Va Suy Luan
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
1/54
I HC QUC GIA TP HCM
TRNG I HC CNG NGH THNG TIN
KHOA KHOA HC MY TNH
BO CO N
Mn: Biu din tri thc v suy lun
ti: T hiu !h"#n$ !h%! suy din &n$ t'nh
t(%n v &n$ )*i t"+n$ t'nh t(%n
,-./:
Ths0 N$uyn Th1 N$2c /i
3-T.:
.(n$ Tr2n$ N4 5
67879;8
TP H CH MINH Ngy 26 Thng 1 Nm 2016
1
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
2/54
2
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
3/54
MC !C
CHNG 1 : GII THIU BIU DIN TRI THC V H GII TON.... .....
1.1 . C!" #$% &' "( )*% +,-% +/0+ 34+ /5 0*0 +-!% 678 +,9% +,0 +/".......
1.2. V$% &' )0;< 60=% +,0 +/".........................................................................>
CHNG 2 : ?NG T@NH TON....................................................................A
2.1. ?NG T@NH TON :...............................................................................A
2.1.1. C!"
2..2. S0 0*0 "Q8 )F0 +-!% :........................................................................2
2... S0 0*0 +0 < "Q8 )F0 +-!% :..............................................................2
CHNG : ? HNH TRI THC CC WI TXNG T@NH TON..............1. G0Y0 +/05
2
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
4/54
3.3.1 Cc thnh ph5n...................................................................................>
3.3.2 C!u t*6c c7a cc tp tin (&u t*#..........................................................c
. ?Z /[%/ CO\B &P" def 67% "g "!" < &0;3 ^8< &ef:..........................
CHNG : V@ Dh GII CC BI TON IN HC i j A................
.1 k+ #$% &' )F0 +-!% #F +/< +/lm +,0 +/"......................................................
,.1.1 8i9n thc ; (? (4p @:...........................................................
,.1.2 A!n $:................................................................................................
.2 T/0+ +/ : TI IU THp? \HO.............................................................n
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
5/54
CH"#NG 1 $ GI%I THI&U 'I(U )I(N T*I TH+C ,- H& GI.I
T/N
T,0 +/" &g% #80 +,q
+/" +,-% "( ^_ +,0 +/".
}~ 6v% "!" /
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
6/54
Cg +/; %g0 ,% +,!0 +03 "Q8 /5 +/% uF m/% "( ^_ +,0 +/"t +,-% &g
"/8 "!" 0% +/" "% +/0+ "/- #05" 0*0 "!" )F0 +-!% +,-% 34+ 30'% +,0 +/"
%/$+ &%/.B4 ^
` }7 +!"/ )05+ ^ uF3 "/- #05" )0;< 60=% +,0 +/" +,_ %9% +7 %/09% /(%t % 0 #Y0
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
7/54
)0;< 60=% +,0 +/" uF +/; /05% "!" 3Z +* #' +/ 0Y0 )9% %-F0 6Y0 6% ^8-
"/- "!" 3!f +/Z% 30%/ "g +/; &8 +Y0 %/% + u
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
8/54
2. j/(% m/!m )0;< 60=% ^
3v" +09< #' 0* +/0+ )% "!"/ !m 6v% "!" u
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
9/54
VE 6v 1:
0*0 ^~ +8 &8%
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
10/54
} "./"2} m.,
CZ% +/" +E%/ 605% +E"/ +/- "%/ "Z% +/" H,-%:
}2 mm ` 8m ` )m ` "
N< dz+ #!" &' +E%/ +-!% 605% +E"/ +!3 0!" #Y0 f< + &P" "/- +,Y" +/[ ^
)F0 +-!% "v +/; u9% &%:
H
12C
22. N< %/ % #Y0 30 )F0 +-!% +8 "F0 &k+ 34+
+/
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
11/54
# #2 #1+ +2 +1
VE 6v :
T,-% /g8 /r" "/% +8 +/S% m/*0 ^~ 6v% "!" ^!% m/*% % /g8 /r" &;&0'< "/ "!" "/$+ %Ff + "!" "/$+ /!". -0 #$% &' %Ff "y% "/- +8 34+ 6% +(%
+7 %/ +,-% 2 #E 6v +,9%: "/- +,Y" 34+ ^ "/$+ /g8 /r"t +[3 "!"/ &0'< "/ ,8 34+
/8f 34+ ^ "/$+ %F- &g.
CH"#NG 2 $ MNG TNH T/N
21 MNG TNH T/N $
?% +E%/ +-!% uF 34+ 6% )0;< 60=% +,0 +/" "g +/; 6% )0;< 60=% "!" +,0 +/" #'
"!" #$% &' +E%/ +-!% #F &P" !m 6v% 34+ "!"/ "g /05<
1
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
12/54
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
13/54
+8 #0+
T8 "g +/; # /[%/ )0;< 60=% "/- "!"
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
14/54
pBC 1c &(% #: &4
L
? {d1td2t...td%}t
{1t2t...t3}.
1
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
15/54
0 #Y0 30 t +8 /05< ? uF +lm "!" )0% "g u09% /5 +,-%
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
16/54
22 ,N V T*WN MNG TNH T/N $
C/- 34+ 3% +E%/ +-!% ?tt ? uF +lm "!" )0% #F uF +lm "!"
+/; d!" &%/ &P" B.
BF0 +-!% d!" &%/ B + p +,9% 3% +E%/ +-!% ?t &P" #0+ 6Y0 6%:
pBt
+,-% &g p &P" r0 uF 0* +/0+t B &P" r0 uF 3v" +09< +E%/ +-!% /8f +lm )0% "% +E%/
"Q8 #$% &'. T,S% /Pm +lm B "/| {3 "g 34+ m/% +~ )t +8 #0+ #% ++ )F0 +-!% +,9% uF
p).
[nh ngh\D 21:
BF0 +-!% p B &P" r0 uFgii c/0 "g +/; +E%/ +-!% &P" 0! +, "!" )0%
+/
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
17/54
m/!+ + 0* +/0+ p +/[ ^ +E%/ &P" "!" )0% +/
) )Y+ 34+ ^
T,-%
[nh ngh\D 22:
C/- D {1t 2t ...t }uF 34+ 6wf
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
18/54
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
19/54
2p p=
.
p B p B
p B p B
np B p B
0 #Y0 +E%/ 0*0 &P" "Q8 )F0 +-!%t +8 "g +/; 6= 6F% 0;3 "/% 35%/ &' ^8
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
20/54
T &%/ u %ft +8 "g +/; 0;3 +,8 +E%/ 0*0 &P" "Q8 )F0 +-!% p B )% "!"/ +E%/ )8-
&g% "Q8 +lm p ,{0 dz+ d3 B "g )8- /F3 +,-%p
/8f /Z%.
Mnh 5 ZZ: C/- 34+ 6wf
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
21/54
*- u0t 0* ^~ "g 2. VY0 "!" &0'< 05% "g &P" )_0 2 +8 +/$f {0}uF uS0 0*0 "Q8
#$% &' p0`1p0t #Y0 3r0 0 1t2t ...t . T 35%/ &' .2 ^
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
22/54
8`g=n
B B ?
{} (o)i P khQi (5n Rem RSt au
`nBf Un:=Y B B1
.p
B
Gh= h: T,9% &ef +8 &w %9< u9% &k" +,% "/- +E%/ 0*0 &P" "Q8 )F0 +-!% +,9% 34+ 3%
+E%/ +-!% #F "/| ,8 +/
+lm )0% B. DY0 &ef uF +/
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
23/54
ThO: :
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
24/54
}-u
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
25/54
2 D0`1}0 uF 34+ uS0 0*0 "Q8 )F0 +-!% pB #Y0 3r0 03t ...t 2t 1.
N< }0uF 34+ 6wf "-% +/l+ ^7 "Q8 } 0+/[ D0`1}0/Z% m/*0 uF 34+ uS0 0*0
"Q8 )F0 +-!% p B #Y0 3r0 0.
}1uF 34+ uS0 0*0 ++ "Q8 )F0 +-!% p B.
T &%/ u . +,9% +8 "g 34+ +/
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
26/54
T/"g /% 34+ /(% uF "!"
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
27/54
_
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
28/54
VE 6v : Bef 0S +8 dz+ 34+ #E 6v "v +/; &; 30%/ /r8 "/- "!" +/
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
29/54
. M9< "< +E%/ : } 605% +E"/ "Q8 +83 0!".
T/- &' )F0 +8 "g 0* +/0+ uF : p {8t t }t #F +lm )0% "% +E%/ uF B {}}.
pm 6v% +/
)Y" 2: +E%/ ) !m 6v% 2.)Y" : +E%/ } !m 6v% A.
L
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
30/54
2ZZ != g=9= :j= c D 8= :
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
31/54
)F0 +-!% "g +/l+ ^7 +/8 0* +/0+ /8f /Z%t +8 "g +/; 678 #F- +/
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
32/54
%ft +8 m/*0 ) )Y+ + u
[nh Y Z. C/- {1t 2t ...t 3}uF 34+ uS0 0*0 ++ "/- )F0 +-!% p B +,9% 34+
3% +E%/ +-!% ?t. k+ :
p pt p0 {1t 2t ...t 0}pt #Y0 3r0 01t...t3.
\/0 &g "g 34+ 6wf {Bt B1t ...t B3`1t B3}t +/8 "!" &0'< 05% ^8< &ef:
1 B3 B.
2 B0p0t #Y0 3r0 0t1t...t3.
VY0 3r0 01t...t3t {0}uF uS0 0*0 "Q8 )F0 +-!% B0`1B0%/% /Z% m/*0 uF
uS0 0*0 "Q8 )F0 +-!% G B0t +,-% &g G uF 34+ +lm "-% +/l+ ^7 +f "Q8 B0`1.
C/% 30%/ : T8 def 67% 6wf {Bt B1t ...t B3`1t B3})% "!"/ &k+: B3 Bt
#F % #Y0 30 0 3t &k+:
B0 B01p0 p0t
1
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
33/54
#Y0 p0 uF +lm "g E+ m/% +~ %/$+ +,-% p0 B01^8- "/- 01!m 6v% &P" +,9% +lm /Pm B 01
p0 p0. T/l+ ,8t p0 "g &P" d!" &%/ %/ ^8
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
34/54
d!" &%/ "!" +lm pt p1t ...t p3.
d!" &%/ "!" +lm B3t B3`1t ...t B1t B.
d!" &%/ "!" +lm B1t B2t ...t B3 .
,S B :
G0* ^~ +,9% 34+ 3% +E%/ +-!% +8 "g {1t 2t }uF 34+ uS0 0*0 ++ "/- )F0 +-!% p Bt
+,-% &g :
p {81t )1t )2}t
B {)}t
1t 2uF "!"
p pt
p1 {81t )1t )2t "1t 61}tp2 {81t )1t )2t "1t 61t 62t 2}t
p {81t )1t )2t "1t 61t 62t 2t )}t
B Bt
B2 {)1t 2}t
B1 {)1t 81t "1t )2}t
B {81t )1t )2}t#F "!" +lm )0% "% u% uP+ +E%/ +-!% +,-% )F0 0*0 "/- )F0 +-!% uF :
B1 {"1}t
B2 {2}t
B {)}.
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
35/54
T &g +8 "g
+E%/ "1 !m 6v% 1t
+E%/ 2 !m 6v% 2t+E%/ ) !m 6v% .
CH"#NG Z$ Mo HpNH T*I TH+C CC I T"qNG TNH T/N
Z1 G=r= :h=
?Z /[%/ +,0 +/" "!" C`-)"+ "g +/; 6% &; )0;< 60=% "/- 1 6% "( ^_ +,0 +/"
)8- {3 "!" /!0 %053 #' "!" /!0 %053 "g "$< +," "% #Y0 "!" u-0
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
36/54
` Tlm /Pm "!"
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
37/54
)0% +/7" "y% %/ +,9% "!" u-0 C`O)"+t &P" def 67% +/Z%
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
38/54
VE 6v: O).8 nt DOpNptB 3t GOCptBtC .
}7 05% #' ^7 )% %/8< 08 34+ &0 +P% /8f 34+ +/
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
39/54
11 }7 05% %9< u9% ^7 m/v +/. Tlm +0% }ACTz:: u< +, +/Z% +0% #' "!" u-0 ^7 05% /!" %/8
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
40/54
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
41/54
C4 :; :Oe :=n ~H=`;D;hy::
C4 :; :Oe :=n ~{:En ?h= n=m Cv/8`:|::
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
42/54
1
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
43/54
2
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
44/54
C4 :; :Oe :=n ~/e`;D:
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
45/54
C4 :; :Oe :=n ~}ACTz::
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
46/54
C4 :; :Oe :=n ~*U!xz::
C!"/ +] "/" "( ^_ +,0 +/" %/ +/ "/- +8 34+ "$< +," +,0 +/" , ,F% #F +!"/ )05+
#Y0 &f &Q "!" +/Z% +0% "% #Y0 "!" u09% /5 /!" %/8< ,$+ &8 6%.
Z Ms hnh C/k' 5cd y Bng c 5=Jm LD 5y$
T/E"/ /Pm "/- #05" +/0+ 34+ "Y ^_ +,0 +/" #Y0 "!" /!0 %053 "g +/; &P" )0;e
` CS% &4 6q% &05% "g 0! +, %/ %/8< +0 34+ &0;3: I I1 I2
` H05< &05% +/ 08 /80 &< &-% 3"/ )% +]% /80 /05< &05% +/ 08 /80 &< 30 &05%
+,_ +/F%/ m/%: U U1 U2
` H05< &05% +/ 08 /80 &< &-% 3"/ )% +]% /80 &05% +,_ +/F%/ m/%:
R+6 R1 R2
` H05< &05% +/ 08 /80 &< 30 &05% +,_ +| u5 +/
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
49/54
` CS% &4 6q% &05% "/
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
50/54
^ Csng L4:$
10^ Nh=: Ycdng :D ;D :;En By Bn ?h= Bng 5=n hRy ;D
4.!. Hn (% T,9% 34+ &-% 3"/ &(% 0*%t "/- +,Y" 0! +, "Q8 34+ ^ )0%t +E%/ 0!
+, "Q8 34+ #F0 )0% 3v" +09
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
51/54
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
52/54
` ^
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
53/54
'cr $ T[3 34+ u: 9 5R: 5cd$
N3 , /(% #' u +/
-
7/26/2019 Bieu Dien Tri Thuc Va Suy Luan
54/54