2024年1月9日发(作者：)

xxxxxKpJxxKbxJKpxxKxKxKpKuKpxxxxKpJxKxJJJxxKnxKxKuxKpKxKpKxKpx

xAx+Buy=CxKbJKpA=JKnKKKpBCKKpTKpJJJKKKp

MMffMMMyMyffKcKccByByKccyByyx=cyxxxxxcyxTyuyTTycfyfcxxKxMKxMxyxKxMKMxBxMBMBxBxMBxMMMffK

xAx+Buy=CxA=KMKMKMKMKBMBMBMBMBBMMC

yGsabyssyyuusbsababAaaaCBbabnbnanbn

baaaaaaaaaaaaaaaabbbbbbbaBTTC

yGsssysyssyuuubCbbbB

WsCSIABdSISSSATTSSSSSSSSSSSSSSSSTSSSSSSSSSSS

IAPAAPPPPPTJCPPBTBTCTIAPP2TAPPPAPP

PAPPTTJTATTBCT

WsSWsIWsWsSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

214.A0410eAt122133eIAtAtAt2!3!t2t4t6t3t5141664,16t42!4!6!3!5!t3t5t2t4t64t1664,1416643!5!2!4!6!AtIAP1AP2TA10PP2P11,22j1P22jTT212j112j2j

eAtTeTt1sin2t12cos2t24sin2t2cos2tS11(SIA)11S2S441S1sin2t2cos2t4S(SIA)1eAtL1cos2t2sinn2t1,20(t)1(t)2j2jt2jtee2()14j(e2jte2jt)110112e1te2teAt(t)I1(t)Acoss2tsin2t12cos24sin2t2cos2t

2AeAt1141122133AtAt2!3!73t213321t5t,ttt2!66228133t234t4tt,1t5t62!6IAtTeAt123t1;T2t112423tt11e),ee12(ett3t3t44(ee)2(ee)1111SIA1142(S314(S30(t)1(t)S1S3S1111),2()S1S3S1),()eAt1e3e4e3tet3tteAt0I1T

(0)01x00(1,0)x1,020u1u(2!1t01xex0AteA(t)Bu()d1t01d01()d1122tt222t21t1 =0111t =1t0t0t1

27.1.u(t)At23x0K(t)x(0)Atx(t)ex0eBK,KxAtu(t)t0ex0ex0AtAteA(t)BK()d()dBK0t0eA(t)ex0eAtA(tAt)|BKex0eBK2u(t)xK1(1t)ex0ex0ex0ex0AtAtAtAtt0x(0)eA(t)x0BK1(t)ddBK)t0t0eA(t)Ae11A(tAt|BKI)BKA(e

3u(t)Atk1(t)t0x(0)et0A(t)x0x(t)ex0ex0(eeAAtBK1(t)ddeBKAteA)'e|t0t0AAeAAt0t0AedAeAdt0eAdAAA11eteAA|t01t0eAAtAdt01AeA(e1|teAI)x(t)ex0AtA(e2AtI)Ate11AteBKAtex0AtA(e2AtI)AtBK

2-9.T0.1s2-21s,u1u21x1x2yx1x2y21x1Ku1x1u22x1x1x2x2K00u11u21010x121x2IA1.101100;12IAP110P1100

P1201TIAP2T01010111P2T101110TTP211G(T)eH(T)AT10TTT0eAtT01e1ett0101T0edtB0TTe1e01K0dt011eT1eTTK00TK(1e)TK(T1e)

x1(k1)x2(k1)eTTx1(k)G(T)x2(k)01x1(k)x2(k)0Tu1(k)H(T)u2(k)1eK(1eT)TK(T1e)y(k)Tu1(k)u2(k)210.1se0.10.1x1(k)x2(k)010x1(k)x2(k)u1(k)x1(k1)x2(k1)K(1eK(e0.11e)0.9).9)9)0.10.1u2(k)y(k)Tx1(k)21x2(k)1s

x1(k1)x2(k1)K(1e1)Ke1e01101x1(k)x2(k)1eu1(k)1u2(k)y(k)21x1(k)x2(k)u1(k)TBu2(k)0Tu1(k)u2(k)x1(k1)x2(k1)1TT01x1(k)(TAI)x2(k)x1(k)x2(k)0.900.110u1(k)0.1u2(k)KT0x1(k)x2(k)T0.1sx1(k1)x2(k1)0.1K0T1s0011x1(k)x2(k)K00u1(k)1u2(k)x1(k1)x2(k1)

12eAttABBA

3-11x2ux4ya, b, c, d

x1x2x3x4a0100b1000c1000dx1x2x3x410u00yx1x20010x3x4b1000a010rankMa, b, c, dAbAb22MAba02acccd33a02aca1a4,

C001NCA11cCA2acbcc2CA3a2acc2b2bcc2c3rankN4,a, b, c, d2x1abx11x2cdx21uy10x1x2MbAb1ba1cdM1ba1cdabcd0abcd0000

NCCA10abb30ab

ab

31MM[bAb]21 0cd 0 0cd31101121 01221NCCAN1202211

2MdetM1AbAb32T1324b13242411c10211431rankM0NdetNCCA221CCA1102002343M123bAb21323Ab2332222823423132223detM0

NCCACA2W(s)14detN41303s6s82s5122s4s3s4s3Ib01c5d201TTA1IIA1b4T52cd13M112bAbAb2001100201detM0rankM3

RcRc13detRc1000010TˆAˆbc3RcbcRc1RcARc1001111W(s)1s3ss2W(s)s1

13s100001s201102s000102000,010r0r0r101,100rIrI2r1000AcIr0rI1rI10

Bc0r0rIr00001000,0001Cc012:NCcCcAc2CcAcRank(N)36

Ro11Ro1Ro

ˆAˆAAˆR11112oARoAˆ21Aˆ221000BˆR101oBBˆ1Bˆ2100000CˆCR1000oCˆ1Cˆ201000000

ˆA11WAˆA11ˆC1ˆˆCB11001100,Bm0,01ˆB1CmW(s)1s3ss13s012W(s)s101s100001102s002001,102000,0111000

00000000m0m0I000mA000oIm0m1I10m001000mIm2Im010B010110,21000C000010o0m0mIm000001:000000

MBoAoBoABo2o1rankM36Rc1Rc

R1000001c1000AˆR110000cAoRc0001001BˆR100cBo

ˆCCoRc1ˆˆCB11010000,Bm1,00ˆA11WAˆA11ˆC1ˆB1Cm123MA3-3bAbAbn1n323

4-11P11Q(x)P12xPxP13P23P333231TP=P21P22P31P32202i11017.75020iQ(x)10Q(x)1111417.750T 2P1xPx1312310

Q(x)30

3160

4-2IA2a11a22a11a22a12a211122a11a2200a11a22a12a21P11P12P11P12P=APPAAa11a12a21a22P11P12TP12P222P12P22a11a21QIQP12P22a12a2210012(a11Pa21P11112)(a11a21)Pa21Pa21P2212112(a12Pa21P22)1120

P11P22P12AA2aa222trAA22212a11a122trAAa11a22a21a112trAAtrAAtrAa11a22AP11P11P22a11a22a12a21P0P12P21(AP11P22a2122PP12P21a11220a12)2)(Aa22)4trAA2(a12a222a21a11)224trAA2(a11a12)(a12a21)24trAAAP11a11a22a12a210A2000

trA0a11a220a11a22a12a21a11a22004-31v(x)0v(x)P2v(x)2x12x221x22xexPxT06x26x1x2P1102330i361i0ii0Pv(x)0xT v(x)APPAQQI

P745825838x21211020Pv(x)2(xx222v(x)xx2)0v(x)120012x21APPATQP 4-21v(x)x2x22x12

5-2M1b,Ab,Ab321110990rankM2f()detIK(Abk)k03k1(1110k2)k22(1110k110k2)10k0f()(3*10)10)()(21j3)(4401.200.10101001j3)122K22444110110990Mb,Ab,Ab32010rankM

2IIA3112110001TcIA2bAbb21990.1000100T1cI00.100101000.10.1010A1cITcIATcI001011111bT1TcIb0012Kk0k1k2010AbK001k0k111k2110010111

f()3(k211)*32(k111)2k0f()K12404Ab45-5KKTcM11.2Ab00520.11b201detM0RankMkM5-8(1)c1ABc2ABdetE100010;c2AB10det10000c1ABdetc2AB0;

5-10(1)NccAIIIa11(2)deta0Txy(3):A0;LL;T12:;01;10L;0010g1g21u;0LNN1TATxTbubcTx01xG,

f()det2I(AGc)g11:g1g2g2(4)f*()((5)g12r;2r)(f()g2*2r)f()3r:G23r:2r22r3r2xGTG(7)ˆx2r22r1ˆx03r22r:ˆbuGy(AGc)x1u03ry;22r