104 B. B. JIEnEraKHH*b. H3CJTBAOBAHM HA^T> OCMOTHHECKHMH 



m,ecTBT> pacTBopeHUbixx, Tkwh CHJibHte OTpaacaeTca ea H3MiHeHie Ha ocMOTHqecKowb AaBJietmi. 

 CjiiAOBaTejibHo npn oraocHTejibHO oAnaaKOBOivrb yMeBbnieain nponnnaeiMOCTH njia3MaTHqecKoii 

 nepenoHKH kji-btok-b toh h Apyron nojioBHHbi coqjreBeaia npa saTeMHiHin, ocMOTnqecKoe AaBJie- 

 Hie KJiiToiHaro coKa, a BurECTi ct Tbm> n TypropHoe AaBJieHie, AOJiamo yBejiHqHBaTbca cnjib- 

 Hte bt> Bepxaen nojioBHB'B. ,a,Jifl SoJibmefi hchocth TOJibKO q-ro CKa3aHHaro, npeACTaBHMX ce6i 

 pa36npaeMbifi nponeccb bx MaTeiviaTnqecKOH ^opuit. 



IlycTb P e ecib pa3eocTb ocMOTHqecKHXT, AaBJieaifi" KJTEToqHaro coKa h pacTBopa, aacbi- 

 matomaro KjrbroqHyio o6ojioqKy Bepxnefi nojioBHHbi coqjieaeHia, bt> npeAuojioaceBiH HenpoHH- 

 n,aeM0CTH DJia3MaTHqecKOH nepenoHKH a-sh pacTBopeHBbix'b BemecTBi, P H — noAOOHoe me 

 AaBJieHie. a-ih HBHCHen nojiOBHBbi coqjieHeHifl, fx a h (x k — *aKTopbi npoBHnaeMOCTH njia3i«aTn- 

 qecKHxx nepenoHOKx KJi'BTOK'b Bepxaen h HHamen nojiOBHH'b. B3aHMuo ypaBHOBiniHBawmiaca 

 TypropHbiB AaBJieHifi Bepxaen n HHJKHeH nojioBHHbi coqjieHeaia npeACTaBHTca bt> bha"e: 

 P e (1 — fji.) h P H (1 — fxj, npn qewb P, (1 — p.) = P H (1 — (x K ), a TaKi K&Wb p.. > p H , to 

 P e > P H l ). Ilpn yBejinqeain npoHnnaewocTH njia3MaraqecKOH nepeuoHKH KjrfeTOKi toh h Apyron 

 nojioBHHbi bi> n pa3i, rAt n%l, TypropHbia AaBJieaia nocjTEABBX'b npeBpaTHTca bi P e (1 — w(jl 4 ) 

 h P„ (1 — wf*J- TaKHMi. o6pa30Mi> TypropHoe AaBJieHie BepxHefi nuJioBHBbi h3m-ehhtch Ha: 

 ■P. f*. (! — w )> a HHJKaeH — aa P H (x„ (1 — n). Ho P 8 > P K , p a > (x M , cjif>AOBaTejibHO nepBoe 

 BbipaaieHie^SojiLHie nocjrEAHaro, a TypropHoe AaBJieHie Bepxnefi nojioBHHbi coqjieaeaia aojijkho 

 yBejinqHTbca hjih yMeHbinnTbca aa Sojibinyio BejiaqHBy, qim-b TypropHoe AaBJieaie hhh;hhxi 

 nojiOBHH'b npn OTHOCHTejibHO OAHHaKOBowb H3»rEHeHin iipoaRH,aeMOCTeH njia3MaTnqecK0H nepe- 

 noHKH. IlpocMaTpHBaa TaSjinnw Ha dp. 95,, bhahmi, qTO npoHnnaeiuocTb iuia3MaTnqecKofi nepe- 

 hobkh m> KJi'BTKax'b Bepxanxt hojiobhhtj yMeabmaeTca nocjit saTeMH'EHia Aaate bt> 6ojite 

 3HaqnTejibH0H CTeneHH, qtiwi npoHnnaeiuocTb toh ace nepenoHKH bt> KJiiThax-b anacaHX'b nojio- 

 bhht>. TaKTb Hanp., iipoHHHaeMOCTb b^ BepxBHX'b noJiOBHBax'b ysieabuiajiacb bt> 1,7; 1,5; 1,2 

 h 1,2 pa3a, npoHHHaeMOCTb me B-b HnacaHX-b noJiOBHHax^ yMeabUjajiacb nocJitAOBaTejibBO TOJibKO 

 Kh 1,1; 1,2; 1,0 n 1,1 pa3a. TaKHM^ oSpasoivn, BejioqHBa n OKa3a.iacb ajih BBatHOX'b nojiO- 

 BHH'b Sojibmeio, a BejiHqHBa (1 — n) MeabuieK), qtaii AJia BepxBHX'b nojiOBHH'b. 



9to HepaBBoe H3MiHeaie npoHHnaeiuocTH njia3MaTnqecK0H nepenoHKH nocjit 3aTeMH r Baia 

 Bbi3MBaeTca, Kani. Mbi yBHAHiwb bi ota'Bji'b 3toh paSoTbi, nocBain.eHHOM'b BJiiaHiw MexaHHqecKex'b 

 BOSA'BHCTBiH aa Typropaoe AaBJieHie, nocji'BA'feHCTBieM'b, yBejiHinBaromnMi npoHHHaeMOCTb HJia3- 

 MaTHqecKon nepenoHKH KJi'BTOK'b BHataefi nojioBHHbi h yMeubniawninM'b npoHnnaeuiocTb nepe- 

 noHKH BepxHeii nojioBHHbi. Bo BcaKOMT) cjiyqat TaKoe pa3Jinqie bt, BejinqBH-E nsiwEaeHia 

 HJia3MaTHqecK0H nepenoHKH hphboahtt> kt> em,e 6ojibmewy pasjinqiio TypropBbix'b AaBJienin 

 nocji'B saTeMHtflia bt> npoTHBOuojiOHBbix'b nojiOBBHaxi) coqjieHeBia Phaseolus. 



Mbi npEXOAHM-b, cjiiAOBaTejibHO, Kb 3aKJiioqeHiK), qTO npumtua nepaoHaio mMrbuema, 

 mypiopuaio daejieuin <?s oepxueu u uuo/cueu no.toeunaxo coweueMx Phaseolus, a Tanace, 



1) IIocaiAHee A^ficTBHTejibHO Bcerjia HMieTt m-bcto, 

 KaKT> 3to BHflHO H31. Ta6aHii, r b Ha cTp. 95 h iipmu-E- 



4ania kt> CTp. 94. 



