Schemes for MATHEMATICS - MODULE 1 (THEORY AND METHODS) [30448], Schemi e mappe concettuali di Analisi Matematica I

Scarica Schemes for MATHEMATICS - MODULE 1 (THEORY AND METHODS) [30448] e più Schemi e mappe concettuali in PDF di Analisi Matematica I solo su Docsity! Structures and Topology ovedì 29 ottobre 2020 15:15 Fietb : set F Willa ADDITION cmd MUCTIPLICATTON L ORDER) : ORiceen set Suck fat ig erit i gue X4>o WF x>o Ag>o BOWDS —UPPER BovwA B xsk Vee S SUPPEHUH Pas Sy <f i or UÎPeR Bound + du KR Geng Bova Above due, e MAXIMUM sup S e S look BOND K: Kr a Yue S TNFIMUM Az iutS -Y>A ds NOTA (WEA BoUNd * Atimun auf S e E Bose asxeft, fx e E AgSLuTe VALE {eofE RTIES fam dlxgi lx] J e-gl- 41 5) TRIANGIE NEQUALTY k+g(clx[+la] 6) reeess TemeIE WeRWAITY ||x{-lyll< ls CONVEX cwud Co NCAVE Sers SEGMENT — Sk of o@ CONVEX GMENATIONS (Au FUMEN BEER x dl 4) ngi e R°, ce [A] |8= (en)xiay GNVEX SET Veg eC Ne eta] (ze C (ueny tour A CELY SEMEST Smaeh c) INTERSECTION of GVEX SETS 2 CoNvex Tu (RL: evreRvIS CEVEL SET -YaeR (An reRUAL 0 doma) ulta DUAGE n ABOUE/ BELOW) o. 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TUTESRAL ca GA] F(3)= [" FILE PLofeRTIES nec — pese (/5 Fd) ‘Mowotonit 4 so — Wwerchi ne FO NDAMENTAL THEOREM of CALCULUS Of ENTEGRARIE vu Pb] + Fx) £ CONTINOUS @fA curvo —£(A=F'G) (F() pu ANTIDERIVATIVE) 6 UO Fd F6) = Fa) TMPLOfER INTEGRAL Si tAda/S% (dx Twes - e 7, fd: Comvereent A" dire for Ai = Ne dona ST elle SE, Plana SA File — AsyuProne contaRisov resr fe Lx) convenge SE 3 (2) converse fosmve Fh,g)zo TINTEGRAB(E o [uk]Xioo E *Aspufrorie ag de da sfostnve Fl,gf)zo *INTEGRABLE o [ak], Vios « Aspufrorie Toei, oe] buereene Al: a Linear Algebra LINEAR ALGEBRA Succ R L-BASIS Sf, 2° kx — Sis LIVEARLY WDIPENDENT Ri isa Lmcar cuBmATION of $ - DIMENSION —1A (lontet o GT vesoRa) ADDITION <F € =, eas[ 4), 023/97 UIDAMEUTAL VECTORS @4,..-,Eu (eg. 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COLUMNS — SUBMATRIX — RENGNING (GLUNIS/AUS CINVERSE 2 — ASASI (una®) L'IP unus TP pen} É 4 Aa be a PRODOT C=A8 —Ciu=Resbat andare i +0 bue Pam, Bug, C- xe PROPERTIES — Asseaamue —ie]c =A (89) Ge] 8TA” — NOT COMMUTATIVE (1 AB #84 — Asso 4 K0v ta f SYSTEM ol LINEAR EQUATIONS — Ax=b L(EFFIUEUT MATRIX ATA = EAUATIONS , Ww= UNKOWNS Arssrvoy + RovotÈ-careli =J sosurianS 34 + rami (A)=vane (AI) (e Spsta4 i SITE) (DIGG OTIOME fia ee a cri ae ueetcì Aorsstvoy + ROUOÈ- CAMELI —J soLoriaNS 34 + rami(A) = vane (AI) (me sosti sie) SALUTONI fim na QUAI MAtRI) cnanen 3'x=A4 3474 Erase (A)<U SENFWRE sotunicUS. (vukoms lotta. ceglt) dk (A)=<0 -ZA* = HOMOGENOUS AX=O + X=0/X,=) Kg Uve Gastone dt 24 Vosnk (A) = vv UNIQUE SALUTION de (A) 70 34° = HoMolEnovs Ax=0 + x=0 fMtSR DETERMINANT o (A) —OULY for SQUARE HAFRIX! CoMf UTATION UA Solet (A) 044 W32 Sd (A) 0A Ad —‘=* SARRUS RULE (w=3) cut (A)= Sua of PoOBUETSA ‘> St of PRONICIS ol 432 STANDARD METHOD IEZZO) < Nika o Lt 7 * + dk.(A)-5 tc HAUT È) = Act) lt a) cu PfoPERTIES did — IINERSE MATRIX che (A°)= ata — 2 EXCMAUGED RouS + dik 8)= -kk(4) — IBENT TY det (£)=4 — Thaustose ek A = ek AT — PRODUT ché AB= hh A LAB Linear Spaces giovedì 3 dicembre 2020 19:22 LInEAR|TrausroRMATION T: RAR f=Ax (A-vu) UfeoteeTiEs -TBy)= 7 (x + BT(A) «A is QNIQUE KERNEL. van €=fxeR"| f(x) =0) — iu or {= U, - VAMK(A) «(KAGE Tua F=F(RA) Lie" f):g] - di Tu £ = VaMK (A) n° 7 CLASSES TASECTIVE: Kw f=f0] , mea SURSEOTIVE:Tua fe RS, 24 DISECTIVE : wewa - f4.A4