Danilo Raskovic - Tablice Iz Otpornosti Materijala

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Danilo Raskovic - Tablice Iz Otpornosti Materijala

Transcript of Danilo Raskovic - Tablice Iz Otpornosti Materijala

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u' + v ...- q 3b- al p= 3 q = O)lHOCRO U= I"',q"')'l',+=;';(,7/,=p;'i ); 27e+20'-90b 27 110 D .-- (27q'+4p') =-:-4- 27 [('/, q)' +('/,p)') :- 4 - 27- to; t1=('1, q)' + (' I, p)'-o0csa//lpuKopellapeDAll ejeJJ.aHjellpDAU, D 0KopeH"cypeaAllu"PaJilH"HTH(HeCBOJVbHBcily"aj- casus irreducibilis)_ 11OBOIICJlyqajyccynoTpe6Jb3BaTpHrOHOlleTpHCKa"eTOJla a': - 'I, qTjI ('1, 'I)'r('/ , p)' re l'I :a += ,(cos'P + I sin'P)' KaKOie D> 0TOjeA ,--('/, q)"('I,p)O; r.16Y2;..... =./.1""2;.,='/,';..';'-4; COl(l1/u_l= -2(ra-1); .,=2V3-2;z,=-8;z,=-2n-2 . 4)elileatHU z, .;. az' + bI' + cz + d0, elleBOIIz=x-'I,aCBOJlHeeHax'.j.px'+qx +r=O; ,-b-'/,o';q='I,a'-'/,ab+c;r.=-/u,Q'+'/.. a'b-'I,ac+d_ npeTxOAHOTpe6apeWHTHKy6HYjeAHa4HHY I''- 2pI.'+ (p" - 4 r) 1 - q' =0 (qleroeape30Raellwa).!-beH"cy x t= 'f) vt;+ VI,f{i;). x. = 'IAft; - VI,- 'II,). KopeHHI "t,.I,n.cy x, ='/.. ( - vt; vI..- "-t ) .- , ... X. ='I,(-VI,-VI,tV!.,). 'II, . Vt,.VI"= - q. III "p...p.0p=-IO;q=O; P,{x)--.r'-lOr+9==O; '. =0;1':,:.:16;1::1::=.4;x, ::.;I;-I;3;-3; . , - 3;J;5;-I. npH6nH)I(Il0peW80albejeAHa'lltlla "-OJMrwonamaHrrHille(Newton""phson).-- HeKa 0nooyhHTaHreHTYHaKpHBy. KopeKjenpeceKTaKreHTe"OCCOX.OeajnocTynaKTpe6aCnY4ajeBH. y">O OJ A 11y"< 0 a)y' > 0TaHreHTYnORy!.H,nTa4KeBIIn.jenpH' 6nHlKHaBpeAliocTKopeHa X=b_/(b). ' .f' (b) h =_ f(b) 1'(1)) flOUPOUIlO b)y' < 0TaHreHTY f (u) nOByhHTJ4KC1/ [t(t!H.naje Xl ;::0- --. I' (a) liolipaBKa I(y"Oj I(,,''''oj b)0)1,) B A y:CO ,,' I x/ 1/ y( h( =_IIx,) f (XiI 1 ,xf+ l - Xf+ h 2-1100,1 02.\0 2.10O,OS11 ,23-0.0052,095 I b)Mefiiol1a(regulafolsi). - AKOieI (a)< 0,I (b) > 0noayk" CeQHIlYAB.OHAaieynpeceKyC eaoeOMOxnpll 6J1HlKHaspeAHoeTKopeHa x, = a - I (a)(b-a)HIlH t (b)- /(a) nocrynaKnOH08HT .... .llpyraanpOKcHMBUHja6Hbe f(x,) x= b - I (b)(b-a). ,f(b)-f(a) np ...p. - 3,rop ..yWalll,'oay)...... "y..... 600wo1(2)=-1.1(2,5)=5,6250 naJenpllnpK6I1H)KHlapUHocTkopena%1I11III2+(0,5/6,6'250)=2,0754.ra\lHHj.apuuoCT .op... J.2.095. r)KO.M6uHOBGHOMtWOAG(Dude-lin)- DalleteKopMc:rcoCienpenOJJ;HCMClOne. Jtp npH6nRlICHc'peJlKOCTKre*eJ.: opeHYCdpUIIHQaTHXCTpaBaKpHHe. d)Mefiiop. a (Gregory).- l:IeKajeXonpa>npH6ltHlKHa speAKOC!Y.=t(x).Koi ai e.KaoH['(xl.HenpeKHAHa 10"'10eenpe."",Hl""Oep3HY $yHKUHj y , =q>(") . jep.nOWTOIf 1 ,> 1,TO jc i x'(y)I< 1. I x' (y) npHJ(t p.I lxJ=l.JI -2.r -3:::.. 0It "'.,.;o pe"'!pII l ,d., yp.5;'21jl'!" 1(l ,:l j1(2 ):: 1 > 0.KlkocyKJlOAM1' lz }=3.r:- '2TOcyt t1.5J='.? Ji S ,:,OHI' P I-Il1,Ilile Q. npout cAHl epreKllIl.TeItHle.Pl HjONAo6MUWO 'P (.rJ=r2\"" +3 .CUllJe:r ll.51'0-= 1.8171;TAll it H)'Je.pell MOn HaPA'I YKABAIbEBPEllHOCTHAnrE&APCKII Xnon llHOMA HajnaKwoeeSPW"noXopHeposojexe"H /(X) ;:. D"X"+ D"' _IX"-I+ a ... _:: xn-1..1. ..-!L a. x. x, .,. (x' a.0 .. -,D,,_".! a ..o.0 , + b"x.+ bll-1 .10+b:. x.+ b:: xo Ib, x. b.b" _ Jblt_ ::b..b,b, =!(x,) np_Me p,H3ftHJ3 ' xo= 1BpeAHoeTnonKHOM' I (x) =x' - 3x'+ 2 x' - 6 x: + 3 .,,:2I 1,2 1.2u 3, 1 o 3.1 - 1,2 ti :l '1 - fi x"='2), 114 no.t...OMI (x)ypet)elfnoCTt-nUN".0,1x.,o*eceJllkOypUHTR..noClene""". 01(.r - %0)rIOMohyXoplepoaec!ellel.naClTHyo6')I&Y f(.rJ-Att+A, (x -xo)+ A, (x - xp)z+ . .+ A", (x-xaJ", raecyICae4JtlUlfJuTMA,o6,ulCI XOPHCPOInOCTynllCTpe61nO"OIKTHOIOAH"OnyuIConJepeAlxY'A". HInpMwep,pili lit"nOIl""014 !(x)=-z'-8.l1+3.x'+8x+12noCTeneHIlWI.1-2. .1'.-2183l12 2-12-18-20 1-6-9-10 -8 2-8A. -1-4-17-44 2-4 A, I-2- 21 2 A. 1 0 A, f (x!'= (t - 2)'- 21(x -2)' - t4 (x-2) -8. no"ohyXOpHepOseexeMeMoryeepeWI8.TK jeAH.4KHe. AKOjex,npsanpK611H)I(R'epeAHOCT nOllKHOMOp. (x) = O OHAaMOpa6KTK p. (x) = p._, (x,(Ol). (x -x,("l )+ p.(x,lOl) = 0, jep._,nOllNKO ..3ajeAHKKIlYKK)I(erpeAaOAnp806KTHornOllKHo ..a p.(x)=Oap.(x,(O*0. jepx,HHje.T34H.speAHoeTlber080r"opeHa. 360rToranonp.BKYy3......0y0611HKy p. (x,(Ob. I:JI C"- =_--,. p. _, (x, (0)(, rAecyb.H"noclIcAIbK KoeHIlKjcHTIIXopHepOBeeXCMC H .o;pyror noeTynk.npH611H)I(HlspeAHoeTKopeK.jc x,(I.)::;-x.(')I- I1h. nOCTynaKTpe6..BuweDyWaDOHOlJU/UUAOKceHe.o;06Kje)l(eJbeHa TnHoeTKopeH..llcJbelbe..nOllKHO...KopeHHM4KHHOlleMeHK)I(OSa'ce peAnOllHHo ..a,nonoerynaKTpe6aOOHOBHTKca08aKOAooK8eHHM 001lH80..0"1. npaaop,P(x)=x' -- 9,c'+ 18x-6=0 P(0)= - 6;P(I)=4 ;P(O,5)=7/8,I'(O,4, =-22/125;x,(0)=O,4 x, I-918-6 6h 0,4-3,44 5,824 0,41- 8,614,56 - 0,176 0,4-2,88 -0,116 0,015 -1 11,68 , -7,211,68 1 - 918-6 0,415-3,56285,9910 1-8,58514,4372-0,0090 0,415 0,415-3,3906 0,0008 1-8,17011 ,0466 1-918-6 0,4158-3,58936,0003 1-8,584214,43070,0003 0,4 158 0,4158-3,3964 - 0, ()()()02 I- 8,168411,0343 1: 1:Xi .t il' ::::18;XIX2 xJ-=6', BA)f(HHJETPAHCU.EHlJ;EHTHEJElJ;HA'IIIHE 1)tgox=x KopeHH:xo=O;Xl= 4,4934;x,=7,7253;x,= 10,9041; x,= 14,0662;x,= 17, 2208 ;x.",,(n-,'j, )"3an > 5, 2)xtg x=a 115 a 0,010,100,501.001,502,003,004,005,0010,00100 X",I.0,100,310,650,860,991,081,191,261,311.431,568 Ii 6 3)azr ig axacia a It (1 "_ 0 I .... '., l)Ig % rThX 30' II 62 12001500180 4.383.002.362.072.00 .r, r 3. 27:.r. - 7.069;.r,c J.(l,210:x.rI3,352;%, = 16,493 x. - 16,493(n - 5)..38n > 5. 5)Ig % r.Th % .r. - O; .r.-5,498;.r. ,.,5,498 +(n - 2}1 2. 6)cos.rCb.: = 1 .:, = 4.7300:.:,: 7.8532 ;.:, = 10,9956; r. :::: (n - ' /. ) : 3. 7)cos x Ch .: c- 1 x, &1. 8751 ;x.=4.6941 ;.:. =10.9955; %.:::: (n - ' / , )I 4. 0)P)lOBH I} ApMTMeTHQKH o.o +d,0 +2d,. : . ,a" a. = a + (n - I) d S.= '/. (a +0. ) n = ' /: n[2a+(n - I) dJ. 2)reo.. eTpHCKHD.aq.oq.. . ..o. 3) 4) a,. -:-::aqf1- 1 S.=a(q" - Il=qo.-a q- l .q - I (1- X") 1 + x + x'+X'+ .. . + xlt - 1= I - x n(n + 1)=(n+21, ) Ic 2+ 3 + 4 t, ..+ (n - J) + n =.2 117 5)I' ,2',' (n n ln l1)(2nfl) ,3! 0)1' / 2'13' 4' , .. . , (n I)' n'KaBa pel'.3.kjeAHHH.ua. 3)F[y.t.y" ... y,()J - 4>[y.P.q', .... qCO-I )J- O;p=y';q' - dp/dy. 4)F [x, y, )1' .... ,f")J =' 0,XOHoreHinoy, y' ... , y, yCo); y' :"' zy;y"=(z'+z')y;y'''a.(z'+z'' +.3zz') y;... .,'. nOCTIje4>[x,.>,l',.,. ,z:"-')J=O. I,,',. ',; 1y' -,.. - 6x1'= y'(("+%')-. z'-6x) =D ; ',_,IU,=+ c1 JC:. 5)F(Y(-'),.f")j= 4> (z,z') =0;y(-I)=z. 6)F(y(ft-Il,y(o)J = .,,(z,zoo) = )/(0-1) = z. 7)y" = (y);2y'du2dy;2y'dy' = 2(y)dy;' ., ,' . ' ,. 1"-J2(y)dy+C, =,,(Y)+C.;y'= h(y) + C,=dy/dx; x+C, =f dy/ V,(y) + C,. 127 8)XoMorcHnCJKOHcrahTHHMKoeIjJHUH]eHTHMa: . +A.y"l +. . . LA.y"l=O, o y =; t\ np:tKTepBCTI-14 HajeAH3 q H Ha ... " +A, '-+A.; LA. >"'=O;'-" . .. >.,. ... '-. o " Itl,x)....X)..l.}. ,.x_Y;LC,e=C,'+(.,e+ ... -tCn'- kY"Pewelhe r=1.,.:; \ ?"+3y"-y'-3y=O;)..'+3)..'-).. - 3:0;).., ;1;- 1;-3; 0)npOCTKopeH Y - C eA,x. ,-,I c)KOlhyrooaHoKOMnneKCHHC (o+j:J)x . Yr::':,.eI y,+ i sin+ C, (cos - 1 sin pxll; = .a.IA cos + 8sinprj d)Kopel!moorpella eO< [(A, + A, x + A,'x' +. _ , +Am-xm -') cosx + (8, + B,x + - - -+ )..,=1;2;2;2;3i;(-2+4/)';(-2-4/)' y = C, e' + (C,+ c, x + c. x') e"+ eO' (C, cos x + C,sin x) +e-"(C, + C,x+ + C, x') cos 4x + (C,.+ CIIx+ C,.-"')sin 4x)_ 9)HexoMoreHacaKOHCTaHTHHMKoeljJHUHjeHTHMa " ,\ ' (x) =L A.y(kl;t(X);y=Ey,+Eq; o y. = OnWTItHHTcrpanXO'lOreHe;qnapTHKyJl apHHHHTerpaJl HeXOMoreHe, 0)f(x);c;q(x);A b) q(x);P,(x);s; m+v ;v11300D,fI'JHHlKerpella OilH(x);O; f(x);em,;m#)..; .-, d)f(x) ;em, ;m;)..'; Il =AX'e"''''; {sinmx; e)I(x);cosmx; mi:F A;q= I1... . lIrnx +Bcosmx;I=y-=-r; 12 I) f) [SInmx, I (x) =nu ='A'- , cos mx; x' (A' si n mx + Bmx) Il)f ( x) ; """?(x );y =e"" z;y' ; (mz +z' )e"" ;y" ; (z"+2m,'+ + m' z)e'''';N (x) = '::8,z") =P (x), y" '+3y" -Y-3y= 3i:l+ lOsl n3.r;),'+3)..2- ),, - 3=. 0:Ar= l ;- I ;-3: rt:=A sin3.t +Bcos3x I)BEI(TOPCI{OPA'IYHAIbE a)BeKTopCKaaJlre6pa -+-+-to-+ a+ b = b+ a =s,; '.'. -+- ).... 'b=b, i+b,j+b.k; -.-. ..."""'t- ........- )...,..... s = s.i +s. i +s, k =(a,, +b,) i +(a, + b, )j +(a, + b,)k; ".. 2)b = Aa;b. =)"a,;by =M,;b, = Aa; .... 3)a =a=(a3:r+a2y+aSr)lit ; a.: =1. 4)cosa =a, fa;cos p =a,/a;cosy- a,/a; , ,, , a ,+ cos'+ cos',r- (a,' + 0': -j- 0,')/ a> 1 ; r - .-.- ,- )- )-t....... ".. 00, =a,i + a, j +a,k - a (i cosa+ j cos+ k cosr), - , -jo-+..., a, - i COSa + j cos p + k cos y; -)-. 5)(0 b) -ab cos (a,b) =ob cos &= o. b.+ Oyb,+a, b,; - ),,'. ..-+........'H' ... 6)(a aJ=a';(ii)=(jiJ- (kk)-I ; (i j)_(j k) - (k i); 0: --....,... -. - )-,,._ H......... -+ 7.) (a b) -Cba);(a, b +c)=(abJ+(ac); (l..a,b) = 1.. (0 b) , 129 ...-+... 4-+4 8)[ab]=e= a,.0.1G, i.ik .......-;*... -r. i+eyj + e,k - (absin6) n;n.la. -+ ...-+ b.byh,n.lb;10 1=I. a" . b, 'a.ay, (, =b.b,. -+-+-+-t-+-+ ......-)-+-.......- . 9)[abj=-[baj;[iij-k;[ikl - i ;[kij=L -+-+ -+-+ [ii]-lijj=[kkl=O. , a.b]=),.[abj. a.0)1a, -+-+-+-+-+ -+....... -. \1)(a[bcJ)-(b[ea])=(e[ab]) - b.byb. c.( '1C, ...... ... (i[jk])=l. -+-..-+-+ 12)(a b)'+ [a b]' =a' b'; ....-.. 13)0pTOrOH3nHOCT;[ab]=OKOJlHHeapHocTHoapaJleJlHOCT; -+-+" (a [b ell = 0KOMnJl3I1apllocT'. - .... . .-+- ) -+ 14)[a[bell={a e)b-- (a b)e -+ -+4-+- t......... .-+-+ 15)([ab].[ed])=(iIC)(bd)-(ad)(be) .......-+-+,'......-+-+- +0 , ) 16)[[ab].[edJ]=c(a[bdlJ-d(a[bcj). b)AHaJlHTH'IKareoMeTpHJa - -+-+..._+_).- t- ). I.Ta."a- I)OM=r=xi+yj+zk - r(icosa+jcosj!+kcosy);AI(x;}' ;:)' -.... 2)M,(r,) ;M,(r,); - )---+-)-+ d';' M,M, = r, - r , ;d_ [(x,_x,)'+(YI-Y,)'+(z, - =,)']'h .-]. 3)TpaHcMl\>ljaeMCTe"a ..._ l. ) - .-4-+-+ . p;::i +yj + :k=(a+Oi 130 -........................... 4)POTaItHjaypaaHHb-acos'P+(ka)sinl';Ibl-Ial; .....-+ , -+........ i'- i cos'P+i sln'P;j =-i sin'p+j-+--+--+-+-t...-.....-t-to II.PUGH - .I)OM-OP+PM-pn +p=r;(rnl-p;n-icosa+jcoSll+ III.npa8a , .. -+-+-+ + keosy;(r 0) -p _r cosa+ .y COS + z COSy- p = O. ......,.- .....-+ 2)i+Bj+Ck: -D=p(JI'+B'+C")'1' -+-+ (rq)-lcJlx.f"By+Cz+D-O; yz-D-D a'+b"+c=l:ao;--:.1-:b-T: -+ -D e-C' 3)PalluKp03TpHTnKeM, (r,):1- I, 2, 3 ---to-_-.-.-+ .....-+..... (M M,[M, M" M,M,ll - (r- r,fr,-r,. r.- r,]) =0. -+ 4)YraopasHHR; (n.).i c1,2;a = cos a, ... =A, A.+B, Ba+C,C, (A,'+B,'+C,')'I. [A.'+B,' .+.............. J. (0, n.) =,(q, q.) - A,A, +.:;,8.+ 'I C, - 0 -+-+. II[o,n.)=(q,q.)=O;A.tA.=B,/D.=C,/C. - ,-+ 5)PI3A,11JbHHanqKeM, (r,)OilpaBuHR(o). -, -+ (r,o)=p+d; ....... d(-+... )(r,q)-s.A.x, + By, + ez, + D s,n- .q ..(A'+B' .....-+-+-+-+-+ I)M,(r,);lui-I ...'.. -' .. .. p-).u-ai+bj+ck: ..... . (,-r"p)_1); x-x,y-y..z-ZI - =.p'=o'+b'+c'. DIItI 131 ........-t ....-2) ,M.(,.);M.(,.);p =,.-,,;[,- F"', - ',] =0, ....-to-to- . 3)M, (,,);1=1,2,3;\f. - f" ...-. ... ..(p,P. ) 4)L,(p,);L,(p,);eos &== P,p, (al ++ (2)':',(a2 Ib' t(2)'I.' til... ... .1(P, p,)" a, a, + b, b. + c, c, =0; ... .. II "(P,pal- 0';a,ia, = b,lb. = c,/c., , -t.. 5)Pa3A8JbHHaTaqKeM. (f,)0.8;npaseL (p) .....,."1' . MHor.Koeq,HuH]eIlTH, KaoNanpHMepe - 21 .10'N/ cm'.O. A06Huj yce onllTO..HnwMepe,.,e"3jaB.lbace ' _ecro"6poj.,,:'" 3.1416927 . . .RT./l. nanOWTOnOA_UHHHCY_nconYTHonqHHHe.. o>l< eceIf KOqeKlta.THAI hepe3ynTaT6HTH_nconYTHoTaQatl. P.MHKaTn"He(N)RopH6nHlKHeBpUNoeT"(n)HUNBaco allcanymHarpeUlKam.upuonuH"speRMoemu cN - n. OHaHMaAHMeH3H1YHCTYKaoIi6pOjeSHNHn_MOlKt6HT"nOJHTMO/U HlIHHeraTH OHa. AKO If anpllMepu3MepuMonpeQHHK UHnlt H.IlP.l74 111menrdlfll o whyAO 1mm0llA3cenpe"HHKKpeheYrp.HRU.....73,5 < d< 14.5,T).anconYTlla rpc; wKajeyrpaHltn..ra - O,5 < G< 0,5.11juliaapeAftOCT'...". rpewKe6_ =Aj e '0,5mmH308eceaDcoAyillHa M". r optoO aUeoAymHer pClUlit.noWl'OcerpcUJIUII"etTO" e110 oueHHTHTOcey8el(1+ke) Nt_n" e,c:::::ske . .n" PUaWUIJHarpewf(aeWellelta/tJ!,l/alt;aitDPOUSIIOAYuS.lOXIWljaUp6' ... tptWNi ' OCItOBe. !.. ;.AKOje.& rpeWKaje ... TeieanconYTHarpeWKaCTenCHa 0, ==Nit-:- nil::::=k nk-1 l>. KaKOje nlJf: T) .:PtAolIi"BHarp#WKaKopeHak orU3AO,xuoqaDpu6AUJlCH4JtJtIlHa" a KOAU141fyptAOOi U81tl!rpl.wlttDOtDICOpe.Ht. UU3JfOXUOIiO. H,"p".cr.1.00 1.0;)4;0.9W"" I- O,OJI",,0.995;1,001'",, 1.012:0,_0.985; l ,oew1.:;::.1.002; .....1,002 . TOje TJ. 6)JlorapHTMK.- KaKoj e 1,1",, 0,04, 10g( 1 +0,01) c log 1,01"" 0,004, log(I -- 0,1) = log O,9"" - 0,04, log (I- 0,0 \) = log 0,99 ""- 0,004, log ( I tt)'" 0,4a. HPI .Cp.I,,!/1,003 0,0012:loe 1,0l c0,012. npeMaTOMeie log Nlog[n (I +e)].,. logn+O,4e 0= log N- logn ""0,4 e, ADcOAylllHOrpewl(a.wrapuDlMaDpu6AuxHor6pojajeAHaKaje40'1,pella IlIUBHtrpeWKtucillor6poja(0,46). .'PCna1'l18'tarpeWKaTpOt\HljlpotlHXf,JoieaajeyrpaHHt\aof3< 'Ill, .11.0YHKI.\Hje,- 30ljlYKKUHjyU = I (x, y)6 .. hcduI (:r"y,)- f (xo'l) 6u= 0/M+iJ! 6y -f- R a du+RQ:du, dxOr r peWKa,pY" 'qll jej eAllaKajr IilO:ilaAHO.1I.tUr/JepeHquja"yucmetPYHltqU/I, PeJl a TK BHI

rpeWIi'fI0pMy..ta .= rpewu % % (I a) (I""I a 111...10g( 1 +a)cO,434a - O,217a'""33 a' {Ua)'''' 12u 100.0.11+(1 '" 33,,'log --'" 0,869 a I-a {I;(,,;' ""I "" 300 "I log N = 0,4343 InN peH6poj 2.82 x 3.4h .. ..p= I,q - I,,-I, JepJe2x;I=6, 8,43 x 6,23q. . . ,p-I, q- 1.,.2,JoPJo8x 6- l B, 12,3lx2,85- .. . ,p- 2,q= I,,-2, JepJeI x 2 - 2, 9,83 x1,24-=. ...p-l, 9-1.,-2, JoPJo9,8.. 10. f)MHOlKelbeceRlBOJlHcKpahcHOcaKOpCKTypaMa,Ji3I8,3h . 4,5826=.... 6285 4 q= l,4 :I ,,..,,:l 1'- 2,f=?15,:>2,,r ,:,I. l})ite.:t.eH>e... ",.,r;. .. , H(I,OOM -' _jyh.i; [email protected]!;.t4: '., 5., /I.4,!! :... ?..6,l S 12. fI:8,r' ... I'1212'iii(flltl .. " I(it6-- - a . . -:2I I1:2(8;-;:1",,1l ..;\' - 1, =-Hoi, :':I, &I>'2n r ,'li - ....----...-.... .... : 124= J! ..tm 1n u s ----,5)Cmtaefj0\9l1lOtIlxfJpeflll'IJalD't .G)IiM.lrynsa.t -or , nllliHliI.6poja{j!]i'Kfiili1llKSO:. ..j a....;. A:n4' '' !:&. -. . tQ'"< ... r_ I 146 b)AnconyTHarpewK.korKopeHs6poj. (1.-.) nk nHSHoeH6, =- k-,- 6. c)CTeneHoBalbeHaApyr.HTpehHCTeneH,OAHOCHOKopeHoBalbe .CT...H3nOlKWOUHNa,BPWHceynpaKcHnONohyTpoUHcjJpeHeTa6nHue KBBAp"TaKyOOSB.JI.nONohyJlOrapHT .. apa. 0I2J4567 j 9 I1,001,211,441,691,962,252,562,893,248,61 24,004,414.84 5,295,766.256,767,297,848,41 g,OO9,6110,210,g11,612,213,013,714.4IS,2 416,016,817,618,520,221,222,123,024,0 a25,026,027,028,129,230,231,432,533,631,8 36,037,238,439,741,042,243,644,946,247.6 749,0SO,451,853,354,856,257,860,862,4 a84,08M6',2611.970,672,274,075,777,479,1 881,082,884,686,588,490,292,294.196,098,0 0I2J4567 I B9 I1.001,331,732,202,743,384,915,836,86 28,009,2610,612,213,815,617,619,722,024,4 a27,029.832,835,939,342,9SO,754,9SV,3 464,068,974,179,S85,291,1g7,3I().I III118 5125133141149157166176185195205 2162272382502622752873013143211 7343358373389405422 457475493 8512531551M2593' 61463665968170s 8729754779804831857885913941970 AKOienOTpe6HaTpehaUHcjJpaOHA3cenp ...elb YieJlHUeapHaHRTep-DO.IIaUllja, HIap."ep,3,Pa 10',2;4,3'=79,5; JoPIe6,20'-38,46,3QI-39,7; ......... Jo39,7 -38,4= I),'nonplt..p= 1,3XO:03/O,10=O,4,naJo6,23'=38,4+0,4 = -38.8'111111ce,..ep .....oHeaocpe.... oWH01.U:H.CM. 6,23'=16,20'=238,6,30'=250,p= 12x0,3=4,65 .. a06 ..... o238+5=243. 115,7=8,7;'593_8,1(Ilu6,".1,018;0,97' ",>1-2 ,0,03,., 0,94 1,03' "" 1,09;0,98' '" 0,94;0,99' "'> 0,96;9,97'=0,997" II)rT.02"" 1+ 'It . 0,02'" 1,01 ; "" 1- '/., 0.D2... 0,99; rl,03"" 1,01 ;rU,97 '" 0,99;vil.Y6 "" 0,99; YlOI,4""10Vf:UI4""10,07. IIIJlorapHl'Map norapUTMapjeHajnpocTHjHaiellHOBpeMeHoH HajBHweKopHlDheHH. HHCTpYMeHTJa'paqYHalbe.OHjeYCTBapHcKyn. orapuUJa.KCKuxCKaAO HIHeTHXHacaMoMHHCTPYMeHTY011KojHXcyHeKelIeiioKpelilHeaHeKe DaKpelilHe.360rOBHXCKanaOHnpeTcraa: "aAOrapulUaJlcl(elila6,lUqeca IUpualltnHMIf"HOHca'tlilupu3Ha,ainequ(ppe,CaIbHMece.3BOllecae 149 P""YHCKCollcpa'lHi cKoiecyyBe3Hca06u,"u"(BrigSOB.".) H OpUpOJIHU." lNC' pcr'OBHM)JlornpUm.(IIIMO. 1l0rap11TaMCKOCKaAaieCKaAaKelbeceMOlKeHllipWHTHHH8CKana ..aAHB.HaCJlHIlH1 b ienpHK3:'OHnpoH3BoAp=6 2.45=14.7. 1CKMeB CraBBTH.COOA QUHHOua6CKaneAysnaKeHKOHQaHHuyH3QHHHnau2.45coneBnt H'HailIbeH'CKanHAYBn.KenpOqHTaTHnpOH380JlP14,7. Meli YTHMnpO" 3BOJl7.54.8HeMOlKeMOH3BPWHTHno"ohyCKa"a eHDa "ouohyCKanaAHB,naHlHOCMps36.MHjey 150 npailCHy06RqaieHoAacenpOH3aOAapWHHaAO"'""CKaJlaMaCHDna ce1I0llCeOCTaapHTHHaoaaiKa'lHK(eJl .) c):Tpe6aU"ljJpy)0CKaJleC CTaBHTMHSHaA'I"HHou.aa= 7,5CKaneD)fKOHl13HHUYHa"'H"Hnau.b ,.;-4,8 . I .',I.. . " I . " , " .. jI c U1 I' . ,. 1I'.\ ) rn'I". .,I ,Vi '0 ,1'",I . ',' ''''\' ' ''b/ . h .. f . ,.. . 1. ", 'UtiilP:tl I.1,, "".. , ),\'I D ...'.0 ... ,.., lb) ,, ", " 0 , " "

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I' , ., ., "4 ' .. ". : , c) j I "'I' ...\ !T " '1l1 l1r ihjiil,.l. lI jiilW'il liilw"p , ;jlfU . ."U11 If I00 II I. "'''f. j.I T'1.,Go " ."I,,,fr.- ,. ,' ,,' ."CIO '''' '" II,I. "'I,, 1. ,' .. .,, D .. ..1,1 c...I CKa.lleCDaHCDOAIbeYaCKaIlHDnpo'lHTaTHnpoH3BOA3,6aOHie .yCTB.IpHJleceWayWaBellu,p=IO3,6=36. : OBAeCliOYCTBapHy"ecTo DpoHSBo,Aa.p=abyaellHnpOK3BOAp/IO=a.b/iO,naieiog(p/IO)=loga-10-logb)' TeCliO"pea,yIlTOTIIYOlKHJlHea10.360r oBoraeeYBOAH DOJIII6poja ,i.,cfiJaKIIH6pojaSHa"osa(m).nOll6pojeMMeclUa(3noKoaa) I/UUJC6poje8a 'UHeDpo8uxlleliUMlUnuxP03AOMOKODOllilo3YMeBoce6poj Ijurpapa.Wora6poJaHaMecWyqeAux(IUJ.6pajqucpapaJleBaalllleceIDno S.aD,We);"all.apa8ux,llequMaJlHUXpaaJlOAIOKaoaajje6pojneralUuaonu /el{Halt6po/yHyAalleeHOqlloecewllesod.fiJe'aoUpaequcppep03Au.uIDe 01{HyJle. H.up.wep:345 (m=ai::H.5(m=2):3.45(m= I):0,345(m=O) :0,0345(m= -I): 0,00345(m= -2):0,0003(m=-3):0,00003(nr =- 4). YroPIbHII"npHllepKMa6Hhep2,53",7,5:Teey6pojeBHMeeTa .H1I80qani, -m.1 8IlpOHaBOA3m= I, naje m = m, + m. - l. 'yAp-yroMCJly" 'llI}ylep = 7,5" 4,8 = 36,m,= m ...; 1"m - 2..aaKlle,KaAaeeMHOlKH.e ,/less'(ri.ca1 C)OHA8ee6poj"eCTayMalbyje3a)aKaAaeeMHOlKH .c4eCHQ'(ri.ea10 C)OHAaeeHey"albyje,naje .CAelJa" m"(m,)+(m.)- 1\.cIlecno"m'g(m,)+(m,). 6pojlIetraTpe6aY3eTHcaCBOj""npeA3HaKllH., 151 11,016,97=17,0(m=2+ 1- 1=2); 0.98931 =30,1(m =0+2=2); 0,563.0,316=0.178(m=O+O= O); 1240,021_ 2,601(m =3- 1 - 1= 1), KOJlH4HHKABa6pojaje q;' all',najelog q = Jog a ,-logb.KaKoje q = = u.l0g q =u log a - 'dog b 6Hlle q- a-h,TeceAeJlelbeCBOAHHOOJ/Y3UMUlbe JlOrapHTaMa.nOCTynaKje06pHYTroplbeM;Tpe6aAeJbeHHK0(TiojYleTH HSeKaJlH0aH3HaAIberaeraBHTHAeJlHJlallb(rj. ,'o)CKaneCnape3yn TaTnp04HTaTHHS , CKanH0HenOAHHAeKeHeIlHljlpeI CHnK10 C. 5poj3Ha4ajHHxMcera6Hhr .c ' lIesa(I C)'m-(m,)-(II',J+ I;, cJ/eCHa(10 C,'m-(m,) - (m.). 5pojPleCraY3HMa!'"caCBOjHM3HaKOM. HacnHI.UIla IeKonH''(RMK6poJcaaq=7,S:3=2.S.(m;:1-1-+1=1),I IHIc."lcICOIlHQHHK9=36:04,8=1,5. (m=2-1=1). 360rManeTaqHOCT.HAenelbeceBPWHHaCKanaMaAHB, KOAcnolKeHHiercnyqaja,HanpHwepx = a bIt,Tpe6acePYKOBOAHTH HO"l(!JlOMp'Giepe3YllIDaIDmawtUjuYKOIIUKOceMQlbeOyIDonOMepuU38/1QKQ. HenpHwep .=3,24,6,3114 ,58= (3,11/4,58).6,31 - 44,6,(m =I - I +I =I), Yon WTe.3a x - aIa, ' a ... 0./ b, . b, . b, ' .. b, 6pojMeera6Hhe m=}; (m,)-:E (m,)+:E k, rAejeknonpa,BKa360rnOMHllalbaH3BlloKe.OHaH3HOCHk- + 1SKOje npHHaMeWTaIbYH3BnaKe3aAenelbeKopHwheHHRAeKC1CKaneC,OA' HOCHOk= -1aKajeKopHwheH33MHOlKelbeHHAeKc1CKaneC. HanpHwc'p x=98,3 . 17,23,81/7,95.I ((98,3/7,95) . 27,2\115,3).84,04, ..b .... I.O.I"n, 1.46037511,6190 5.12994.9051 704'4 -4Z4,1214]13,9 '" .,. 14t61,1545611.661:9S.14264.9127,1.3,294f1026 14.526,1 .,. ." 7t9."1553 11.,.., S,I,,1 4.?2007,299)410,-4014;411 ')7 .,. ......11,7.47.)S,16", 4,92737..... ,]).5, 1-4957.1 ." ,,. '9".' .uS61911,7191,.1101 .f.9343 7.19-1.10(0.61 13"4.7 .,. 141 .-.,-...e," 5.19::,5',94 H, 1,'4f9419.811.5393.8u. '41 .,... do)UI 1I.e70 5"..8 .,9.88 1,0921 442.96.,6.,., ' .. ..., 7" 26.7208 I. on' 6."09 I 400393 7" 26,'3956,,,23 ,.01:5'3 I;:: , 26.,,82 .. I 4011639 ,-;, '"y 40l7f1d

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110. 19081 12 0,2070 r IIJ0.22405 I " 0.24102 150.2!1Sa2 I 160.270;64 170,29237 18O,JOva2 " 0,32557 100,3'202 21O,J5837 220,37':61 23 0,30e7J 2.0,40674 25 0,42262 260,4.3831 270,45.)99 28290,48481 300,50000 JI0,51504 J20.52992 3J0,54464 3.0,55919 35O,b7J58 J60.58779 J70.60182 38 061566 )9 0,62932 _0 0,64219 -" 0,05606 .20,60913 .J0.68100 ..0,09460 50' XlV.TAB.JIl1UA TPHrOHOMI!TPHCI3701 a.belU 0.1>45280.6494157 3) U 64941 0.65355 0,65711 0,661ell 0.666080,670211 0.6745156 34' '0,67451 0,083010,60128 0,69157 0,69588 0.7002155 350,70021' 0,10455 0,708910,11329 0,11169 0,72211 0,7265'5. 360.726$4 0,7lloo 0.1)996 9.?44410,74900 0,753555J 31 0,15355 0,758'20,76272 O.767J3 0.77196 o,n66 I 0,78129 52 3) O,711a 0,78598 0.79070 0.80020 0,80408

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