Аналитическая геометрия. Часть III. Многомерные пространства. Гиперповерхности второго порядка. Шурыгин В.В. - 11 стр.

UptoLike

ВУЗ: 

КФУ | Казань

Составители: 

Рубрика: 

A
4
2
A
5
3 2
π
m
∩ π
0
k
= ∅ L
0
k
∩ L
m
= L
00
p
p > 0
p < m p < k π
m
π
0
k
p
π
00
p
= {M
1
, L
00
p
} M
1
[M
0
M
0
0
]
π
q
q < k q < m p
π
m
π
0
k
π
m
π
0
k
p α
p
β
p
eα
m−p
e
β
k−p
π
m
α
p
eα
m−p
π
0
k
β
p
e
β
k−p
π
0
k
π
00
p
π
m
e
β
M
0
0
β
M
0
eα
α
L
00
p
L
0
k
L
m
(A
n
, V
n
, ψ) (A
0
m
, V
0
m
, ψ
0
)
α : A
n
→
A
0
m
A, B, C, D ∈ A
n
−→
AB =
−−→
CD
A
0
= α(A) B
0
= α(B) C
0
= α(C) D
0
= α(D)
−−→
A
0
B
0
6=
−−→
C
0
D
0
α
V
n
V
0
m
A B
C D
A
0
C
0
D
0
B
0
α : A
n
→ A
0
m
( )
V
n
V
0
m
’-¨7-:2 B A4 :-927 /13*ˆ0B57>/8 DB* .38:A* 060 .38:58 0 2 .6-/1-/7> 
B A5 :-927 /13*ˆ0B57>/8 .38:58 0 3 .6-/1-/7> 060 DB* 2 .6-/1-/70 <
     +ˆ58 /0725½08 -.0/AB5*7/8 /6*D2‡ˆ0: .3*D6-“*,0*:<
    ŽXYZ[—¡Y\]Y^ ž}hi‚ π ∩ π0 = ∅ w j L0 ∩ L = L00 w xnm p > 0 w
p < mw p < k €
                      ¢gxn j g|m eogh
                                 m
                                      v ghia
                                        k
                                                 a
                                             πm πk   0 ejfjoomo‚bc peoghvghia
                                                     k     m     p
                                                                    p
                       n              n            v
πp00 = {M1 , L00p } w x m M1 Ÿ hmfm abj gifml j [M0 M00 ] w a bm h}qmhik}mi
eoghvghia πq w xnm q < k w q < m w fjldmfbghia |go‚¾mu p ejfjoomo‚bgu
vjyngu al eoghvghimu π a π0 €
     ªœZœ«œ Ë^ ’-15E57>  )7- .6-/1-/70
                              m     k
                                           πm 0 πk0 0E .3*DAD2ˆ*9- .3*D6-“*,08
/-D*3“57 .53566*6>,A* p .6-/1-/70 αp 0 βp  /13*ˆ0B5‡ˆ0*/8 .6-/1-/70
em−p 0 βek−p 0 .30 ¨7-: πm ,578,275 ,5 αp
α
0 αem−p  5 πk0 ,578,275 ,5 βp 0 βek−p <                                πm
    ҙœ¤œ\]Y^ 5//:-73*7> .38:A* D-.-6,*                   M0
                                                               α
                                                               e
                                                                      α
,08 .-D.3-/735,/7B5 .-D.3-/735,/7B5 L00p B πp00
L0k 0 B B Lm <                                                   0
                                                      βe    M0     β
                                                                       πk0
–^Ë Ó]\\Y —š—­Xœ¡Y\]®^
’2/7> (An, Vn, ψ) 0 (A0m, Vm0 , ψ0) F 5„„0,,A* .3-/735,/7B5 5 α : An →
                                                   )
A0m F ,*1-7-3-* -7-+35“*,0* < 5//:-730: 7- 10 A, B, C, D ∈ An 7510* 
)7- −
    AB = CD < ’2/7> A0 = α(A)  B 0 = α(B)  C 0 = α(C)  D0 = α(D) < ’30
     → −−→

                      A0 B 0 6= C 0 D0  7- */7> -7-+35“*,0* α ,* -.3*D*68*7
¨7-: B--+ˆ* 9-B-38  −−→       −−→
,0151-9- -7-+35“*,08 0E Vn B Vm0 <

            C                 D                 D0
                                                                  B0



    A                   B                     A0           C0
  VWXYZY[Y\]Y^ Ôig|fjymbam α : A → A0 bjlckjmiht j``abbcd gig|p
fjymbamd ( dgf`aldgd j``abbcr efghifjbhik) w mhoa gbg abn}†af}mi
                                 n     m


oabmubgm gig|fjymbam al Vn k Vm0 w igsbmmw mhoa h}qmhik}mi oabmubgm

                                      Õ

Страницы