SCIENTIFIC ABSTRACT KALMYKOVA, K.P. - KALMYKOVA, V.V.

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SCIENTIFIC ABSTRACT
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KAL21,1110VA j K.P. (Leningrad) On Apotbecary Island. Zdorovle 6 no. 11 ,8 N. I (MIRA 13:10) (LENIRIGmt-a- micil..T 11FUSLUMS), SOV/124-58-5-5802 Translation from: Referativnyy zhurnal, Mekhanika, 1958, Nr 5, p 125 (USSR) AUTHORS: Narzullayev, B.N., Kalmykova, L.G. TITLE: Physical Theories on the Strength of Solids (Review of Modern Concepts) [ Fizicheskiye teorii prochnosti tverd7kh tel (Obzor sovremenr,ykh predstavleniy)] PERIODICAL: Tr. AN TadzhSSR, 1956, Vol 54, pp 103-114 ABSTRACT: A survey-type article. The universally accepted theory of brittle failure (Griffith theory) is examined and it is pointed out that the stress is not the only factor causing mechanical failure. The time element in strength problems which previously was regarded as a secondary parameter now assumes a primary significance and serves as the principal subject of investigation by the authors. An explanation of the strength of solids as a function of time is given according to Murgatroyd and Orowan. It is pointed out that the time-bound character of the strength makes imperative a reconsideration of the established notions on the strength limits as characteristics independent of the duration of stress application. Bibliography: 21 references. Card I/l 1. Sol.ids--Theory 2.Solids--Mechanical propertiesL.S. Bryukhanova 3. Solids--Physical properties KALKYKOV.A, L.G., nouchnyy sotrudnik ~~-: .% I (4umatitative perimetry in diseases of the optic nerve. Oft,zhur. 12 no.2:78-82 '57- (XIRA 10:11) 1. Is Mcrainskogo nauohno-ionledoyatellikogo Inutituta glasnykh boleaney im. prof. Girshmens (dir. - chlon-korrespondent AMN SSBR. prof. I.I.Merkulov) (PARIXBTRY) K Y.A#-L*-GAj nauebW uotrudnik '~Ymq Quantitative parimetry in diseases of the optic nerve, Vop. nalrooft. O%VW2 161. (MIRA 3429) 1 (OFrIG MMVE-DISBABBS) (PERDMW) PARFENOV., A.I.; SHULITS, M.M.; KOCHERGINA, N.N.; IVANOV, V.P.Y YFVNINA, S.B,,* KAL OVA,.L.P.; AGEYEVA, Ye.D. - ------M P Electrode properties and chemical stability of d number of multicomponent lithium silicate glasses. iest. LGU 18 no.4.- 163-166 163. WIRA 16:3) (Electrodes, Glass) (Lithium silicates) (Oxides) -42142 1. - Ii. -66 ET (e )/E',T (j )/T DS/RM,/WH ACC W AXO22424 SOURCE CODEs UR/0364/66/002/004/0420/0425 AUTIHOR: Bobrov, V. S.; Shullts, M. M.; KaIMkovaq L. P. ORG: lani d State University imeni - L-rgrad A. Zhdanov (Leningradskiy gosudarstvennyy universitotT- 1~ TITLE: Coordination state of boron in lithium borate glasses, based on a study of their electrode properties. SOURCE: Elektrokhirdya, v. 2,, no. 4, 1966v 420-425 TOPIC TAGS: borate glass, lithium glass, electrode potential ),gefp f3A5E- 3 60dq00j.) ellien?J019-4 3 (V00#V0iAJ#97d'0A_) 0#1%647134e~ ABSTRACTI The electrode behavior of glasses of the U20 '-B203 system was studied by recording the potential of the glass electrode'lversus the Dh ti. e., plotting E-pH curves) in a universal water-alcohol buffer solution containing 0.1 mole of Li ions per liter, 85% ethyl alcohol, and also hydrobromic, salicylic, monochloroacetio, and benzoic acids (0.05 M each). It was found that the coordination state of boron mani- fests itself in the electrode behavior of the glasses. An increase in the content of..'., 1420 to 42 mole % causeq an Increase in the relative content of strongly acidic iono-, genie groups [BL04d21_H+jof totracoordinated boron. The electrode behavior of the glasses was sh i-to reflect the influence of various ionogenic groups of tetracoordi-I nated boron, which are characterized by a marked stability of their bond with hydrogeA ions. The observed correlation between the electrode behavior of glasses and the coor UDC: L-42142-66 ACC NR, Ap6o22424 d~mation state of boron indicates that the "electrode" method is sufficiently sseensitiv for studies of structural transformations in lithium borate glasses. Authors are deep ly grateful to M, D. Anikiyeva for assistance in the analysis of the glasses. Orig. art. harp: 3 figures and I table. SUB CODES 07/ SUEM DATE: OIJu165/ ORIG REPS 017/ OTH RVI 001 'IT-j- f .. - , - -,- ; I k fl I. _1:.i i E V - - 6 70 0-2 0-6 W6i - _T__sbUkff_cd_bEF-_uRTo_3~~4 6 88 0294 A R AP6019236 (A C -rA HOR. Bobrov, V. S.; Shul'ts, M. M.; Kalmykova L P ORG: Leningrad State University im. A. A. Zhdanov (Leningradskiy gosudarstvennyy universi't-et) TITLE: Differentiation of the bond stability of a hydrogen ion in lithium borosili- cate glass - / V.) SOURCE: Elektrokhimiya, v. 2. no. 3. 1966, 288-294 TOPIC TAGS: borate glass, lithium, 1 41 [XI, molecular structure, electrode, electric potential, acid solution, ion, electrochemistry ttYDROC_~-&) 80AJ011VC_> ,31z_1e4-r,e 'Oz..-j7j57 13o.,volVr. PQoPei2rY ABSTRACT: A new type of experimental curve (potential - pH) composed of 3 steps and linear portions is developed for the study of hydrogen bond stability and boron atom coordination in the U20-B203-SiO2 system. The displacement of the curves obtained in buffer solutions as a function of B203 content (in the glass electrode) was related to the grouping of bond stabilities of hydrogen ions "differentiation effect". Four dif- ferent types of curves having as many as 3 steps and linear portions of varying slope and/or levels were obtained. Curves are given for glass with a Li?O content of 33 mo1% and boron anhydride contents ranging from 0 to 20%. The addition of as little as 5% B203 shifted the E - pH curve downwards and changed the linear 0% line into one L 38163-66 ACC NRt AP60.19236 having 3 slopea. The initial slopes were related to the ionic group EBO 4/2-H*, where boron had a coordination of four. At higher pH levels the appearance of the Jonic groups [SiO 3/210H caused the slope chapges. These two regions were separated by a linear slope of 18 mv/pH as a result of the intermediate mixing of the two ionic groups. The three-stepped character of the curves was maintained under a variety of experimental conditions. A section of the Na20-B203-SiO2 ternary, in which boron has a coordination of fc7ur, was shown with points indicating the range of compositions used experimentally. About half the points fell within that region. Data are pre- sented for the 11 mol% B203 triangular section for U20 contents ranging from 24 to 39%. Again, the differentiation effect occurred and the slope changes were interpretet as bekore; EBO 4/21-H+, (DO 2/230H and [SiO 3/210H are related to slope changes a, b and c respectively. Orig. art. has: 4 figures; SUB COM: 07,3.1/ SUBM DATE: 3lMar65/ ORIG REF: Oll/ OTH REF: 000 3(55 AUTHORt Kalmykova, M. A. 30V/20-127-2-50/70 TITLEt On the Biostratigraphic Distribution of the Marine Upper Paleo-zoia Bedime'nts of thb Darvas PERIODICALt Doklady Akademii naiak dSSR, 195 9, Vol '427 Nr 2,' PP 4111-4114 (USSR) ABSTRAM The sediments mentioned in the-title are widely distribute& r- the Darvex and form an almost meridiouRl more than 500 m thi-~~k stratum. The upper part of Fe'rmian lacks'9 as a rule, so that the Upper P&loozoic is superimposed by MesocenozoiD deposits. A-survey of the division'of the mentioned sediments (Refs 3-6p 11-13) is given. Table I shows a comparison of the refei-enoes 11 and 12 with the refe'rences 4 and 5. The author sorted o-af 8 fusulinide zones on the strength of an investigation of the fusulinide layers in 7 rivers. They correspond, according i'~i their extent, to the stages or parts of the stages to the references 9-11 and to the horizons of the scheme in refezen,-es 1 and 2a (I) Z o n e o f F u a u I i n e 1 1 a a n d , F u 9 u 1 i n a (C 2-2 ). (II) Zone of Tri ti~,i teE, Card 1/3 ? On the Biostratigraphio Distribution of the SOV/20-127-2-50/70 Marine Upper Paleozoic Sediments of the Darvaz a n d P s e u d o f u s u 1 1 n a (Cl-2). (III) Z o n e 3 o f S c h w a g e r i n a a n d t h e pr i m i t v e P a r a f u a u 1 1 n a (PI). (IV) Z o n e P a r a f u s u 1 1 n a t P a e u d o s c h w a g e r i n a P a e u d o f u s u 1 1 n a k r a f f t i 9 P s v u I g a r i s (p2a). (V) Z o n e w it h s e 3, 1 1 n a 13 r e v a x i n a , P a r a f u s ix I i n a (P 2b). (VI) Z o n e w i t h M i a e l 11 n a I (.2o). o I a u d i a e 2 (VII) Z o n e P o12y d i e x o d i n a (F,). (VIII) Z o n e R e i c h e I i n a (P 2 2 The first zone rests tranegressively upon the Middle Faleotol,, Bediments (Lower Carboniferous up to Silurj.an inclusively), usually with an angular discordance (Refs 20,80). The second zone rests concordantly upon limestones of the Verkhne- Moskovskaya lower stage of Middle Carboniferous and is super- Card 2/3 imposed by sohists and tuff-sandetones of the On the Biostratigraphic Distribution of the Sov/20-127-2-50/70 M~rine Upper Paleozoic, Sediments of the Darvaz Charymdarinskaya suite. The nones (III) - (V) contain the suites'Gundarinskayag Safetdaronskaya, and Charymdarinskaya. Their boundaries are not stable.. This confirms the assumpticn. that these 3 suites are according to their extension of different age and that they represent facial analogs in individual sections of the Darvaze There are 1 table and 13 Sor:ret referenceso ASSOCIATION: Vuesoyuznyy nauohno-issledovatellskiy geologicheakiy institut (All-Union Scientific Research Institute of Geology) PRESENTEDs February 11, 1959, by D. V. Nalivkin, Academician SUBMITTEM January 19, 1959 Card 3/3 ANWSOVA, A.N;; BENSHVAF.R.; GROZDILOVA, L.P.; DOBROKHOTOVA, S.V.; XW.YKOVA, .1 , G.D.; LEBEDEVA, N.S.; MIELUKHO-MAKLAY, X t. At K' REY E A.D.; RAMER-CHEIMOUSOVA, D.M.; SHCHERBOVICH, S.F. Revision of the taxonouy of the genus Schwagerina and genera close to it. Vop. mikropaleont. no.8.,60-75 164. (MRA 18: 5) YAT,M,I'XOVA, M.A. Cmnmarison of the Permian of I;rtrvav. with the! cmval. 5edimnts of adjacent regions, Trudy VVr,!'l '1130V,1-174 '61,. (MIRA l8ri j - - ---- - -- -- --- --- --- - - -- - - -- - - --- - - - -- - - -- -- - MOMYKOV IAIIA. -.,. .. Mosti-atigrapMo, c.Drrelation according to Foraminifera in the I&wer flerm--au cedIments of the Finaga Basin. Dckl. All SSSR 163 nco5:1221- 1224 M, 165. (MIRA 18W) 1. VuenoyuziVy nauchn,-issledovatellskly geologichaskiy Institut. Subm!tted Flebruary 5, 1965. X&ImmIlAt M.S. Nurses and Nursing Activities of the Nursing Council of the Botkin Hospital in 1951. Med.sestra, No. 3,, 1952. &n_kh_ly,--Lis of Russian Aeggesiong Library of Congress, June 1952. POPOV, I.S.; VARTAFETOVA, Ye.M.; KADMOVA, II.V. Tinea imbicatn ("Toholm"). 7r,;~t.-%funir. nc,301-.~j I-lay-Jun 1.-.rrof. 2op(,Y; A,~slstant Vartapetova; Senior Iaboratory Iforl-er Kalmykovo,. DEZNOSp T.I.; RAFALOVICII, S.M.; BOGUSIAVSKAYA, A.V.; DOWIKH, A.I.; KAJ -- RMY-L.-B, V.R.- (Khar I kov) Role of fungi in complications from tratment.with antibiotics. Vrach. delo no.8:76-78 Ag 160. (MIRA :13:9) 1. 1PAcraingkiy.naut-,hno-issledovatel'skiy kozhno-venerologicheskly institut) Detskaya bollnitea Yuzhnoy zheleznoy dorogi i Chet-vertyy kozh-no-venerologicheskiy dispanser, (FUNGIq PATHOGENIC) (ANTIBIOTICS) PESHKOVSKAYA., Mariya - ', ~7: APIDIIIF~E~T., M -;!ii ~ ' V-iktri- lyevich; U-PA,K.QVA,.fl;i ',&I i- a P, - ~, :,~, !,~kl lle:--akka Davydoin-a", SASMINA, Ye`ena K--r~5~ -%r~. KIM-C-IRSKAYA, Ye,.S.,, red. [Teclunical amd e~-r-om,c I-i; en~erpr"bess of the cbeminal Jpd-ast::yj T,-Ilk-.'-~.~-L, - rLsche-:-,y na pred- prii.,34~i`akln 7rcirnyon,rin,---s r-. - . WsR-v a. Ilyssn it i a shko.l.a.,"190. :~ ~~ n P. (14JAA -18,,12) TIZDEW) il.R.; l,.ARP-.fS!iE;Vl Ye.S.; MOLOKOV, L.A.; KOV'UPOVA, L.P.; PELMSKIY, K.R.; ZMTOVI M-V.; KIRICHIIINO, R.I.; NE"YSHTADT) L.I.; 'FA]UAROVAj I.Ye.; PIRTSKRALAYSIIVILI, G.P.;.KALUKKOVA,-- N.I.; BFIYY, L.D., doktor geol.-D-iner. nauk; BOROVOY, A.A.; reC.-,- GGRZ', T.P., red.; LARIOYOV, G.Ye., tekhn. red. [Geology and dwrs]Geologiia i plotiny. Pod obshchei red. A.A. Borovogo. Moskva, Gosenergoizdat,(Its Materialy po prooktiro- vanilu gidroenergeticheskikh uz1ov. Seriia 2: Izyskanila) Vol.2. 1962. 151 p. (IIIRA 15:9) 1. Moscow. Vsesoyuznyy gosudarstvcnnyy proyektroy in,-,titut "Gidroonergoprockt." 2. Vseso),uMy gosudarstvennyy proyekt- n~V institut , Moscow (for all except Borovoy, Gotman, Larionov). (Goolovy) (Dams) WAMOVAO I.N. Analytical representation of fields of meteorological elements* Trudy TSIF no.46:79-83 156. (PM 9 t 12) 016toorology) a-_,. KALKYKOVA, N.M. Cand Geog Sci -- (diss) "Formation of tite.Siberian anti-cyclon."Nos,1957. 11 pp 21 cm. (Main Administration of the ' " ~kVV64 LV4,t, IL, Hydrome te oro logical Central 1nst of 110 copies. (KL, 23-57, 110). -3t- /7/1, k~l,~11Y&117 . J L_ 'J'] '' -) - Ii Al ^1 1 t/ K PHASE I BOOK EXPLOITATION SOV/3794 SOV/49-M-74 Moscow. Teentrallnyy institut prognozov Voprosy dolgosrochnykh prognozov pogody (Problems in Long-Range Weather Forecasting) Moscow Gidrometeoizdat, 1959. 72 p. (Serles: Its: Trudy, VYP. 74) 800 copies printed. Sponsoring Agency: USSR. Sovet Ministrov. Glavnoye upravlehiye gidr.,)meteorologicheskoy sluzhby. Ed. (Title page): N.A. Bagrov; Ed. (Inside book): V.I. Tarkhunova; T6eh.'Ed.: I.M. Zarkh. PURPOSE: The publication is intended for scientific workers, employees of the weather forecasting service, and students of hydrometeorologi- cal institutes and universities. COVERAGE: This ia a collection of 7 articles dealing vdth the pioblem of long-range weather forecasting. Some articles contain specific recommendations for charting monthly or mean-range forecasts, and others deal with the theoretical problems of weather forecasting. Card 0 Problew in Long-Range (Cont,) No porsonalities are mentioned. of each article. TABLE OF CONTENTS: SOV/3794 References are given at t~he 6nd Bagrov, N.A. Analytical Representation of the Sequence of Meteoro- logical Fields by Means of Natural Orthogonal Components 3 KalmyrkKo3%,1Ljg, Formation of dontinental Stationary Anticyclones. Uhtre-r- the Influence of Thermal Conditions of the Underlying Sur-' face 25 Kats, A.L. Utilizing Some Characteristics of the do ersion of Macroprocesses of Synoptic Seasons for Monthly Forec%avting 32 Morskoy, G.I. Computation of Empirical Functions of the Importance for Forecasting of the Nonzonal ?art of Mean Mcnthly Altitude Anomalies of 500 mb Isobaric Surfaces 40 Card 2/3 Problems In Long-Range (Cont.) SOV/3T94 Rafailova,, Kh.Kh. Application of the Regularities in the Change of 500 Anomalies in Forecasting the Surface Baric Tendency Field of the Next Natural Synoptic Period 47 Bagrov, N.A. Analogy of Meteorological Fields and Evaluation of Forecaets 56 Morskoy, G.I. Forecm~sting by Baric Topography Charts 69 AVAILABLE: Library of Congress Card 3/3 JA~odf/jb _28-6o KAU4YKOVAO W.M. Forecanting the mean monthly temperature anomaly in the European part of the U.S.S.R. and Western Siberia. Trudy TSIP no.97x93- 101 960. (Weather forecasting) (MIRA 14:3) KALMYKOVAt N.M. -- j,:,-"-..'-1,- Temperature anomaly of the winters in the region of the foraation of the Siberian anticyclone in connection with the intensity of its development. Trudy TSIP no.123:63-71 163. (HM 16:9) ............*....... L 51o47-65 EVT(n)/M1P(t)/E3YP(b). IJP-(c). JD1JG 0670 URt AP5012970 UR/0070/65/010/005/1.131/1,137 546-55:541.494661.963/.868.7 AUT11ORt Watlova, N. M.1 Temkina, V. Ya.; Belugin Yu. r.-, Lavrova, 0. Yu.j pi Bortina, L. 1%; Iozefovich, F. D-.--,-R7amykova, if. N.1 2LT-rov, Ya. P. 6 THU., Complexing of beta-hydroxyethyliminodiacetic acid with rare earth elements SOURCM Zhurnal neorganicheakoy Wall, v. 10, no. 5, 1965, 1131-1137 1-7 TOPIC TAGSt beta-hydroxyethyliminodiacetic acid, rare earth complex formation, dysprosium separation, yttrium separation, rare earth element, complex compound ABSTRACT:. The authors studied the capacity of 0-hydroxyethyliminodiacatic acid to form complexes with ram earth elements, determined the composition of the com- plaxec formed, and calculated the InetabDity constants of the latter and the dis- sociation constants of the complexing agedt. Such quantitative characteristics of complex-foming procesdes facilitat ,e the determination of optimum conditions of separation and purification of rare earth elements. The appreciable differences between the instability constants of the complexes show that this complexing agent can be used for the separation of rare earth metals. The difference in the pK of L~ard 5367-65 XCESSICIN NR% AP5012970 :he complexes of dysprosium and yttrium, equal to 0.71, is particularly notable, iinco it exceeds any previous value attained with other cozplexing agents. Experi- )onto iDvolvi ng the separation of a binary mixture containi 'ng 30% t203 and 70% )Y203 by mans of 0-hydroxyethyUminodiacatic acid wart very successful.. It was .;ound that as the atomio number of the rare earth metal Increases, the stability of :be complexes rises askarply at first (from lanthanum to europium), then remains ipproximately constant (from eur*pLlm to lutstium)i Grig. art. hasi 0 figures, tables, and 11 formulas. MOCIATIM none WSHIM61 16SOP63 ~EMCLt 00 SUB COMI IC CVd- 40 REP SM 001 OTHEM 011 Card 2/2 7 i i i0 ,00 a so 3'1 W :i, MW IM P- K- Zpv& Ub., 110% 1-4) aft Added. at -10 I io .6% 7 boub* I *c 0(O 15 jNHjWjA an mkA4 -nd the LO. of 0. Allet t6 diuppmwm C.C. d adaw , , W with 1 -KOUP u&& up io IW C.C. tet . I &C., 9D a.c. ildfl. 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Do-ez;tivc- lons in uch a v,,ay that only tilio lii;~,t boz.-iis f - a in t n e irru e r i o r 'UDO.- 5'~5.241,62 Card 1/2 -.11 ACC INR; of lune scpmenlu3 and -from, th,o llblac!c 'Ood~'" fall on -51lie entrance aperture of i~,L! nt e L -c -.; a s-L o - - i~- c~,ivc a ris. Luxe j.' ary ource s are loc ated at the c e, r of suC; has. I i,-Lgara. curvature oz ~!-i- Orig. arv SUB GODS.- 3-11.1 20/ SUBMI DATE: 21~-,,ay65 XADM:OVA, O.Y. resolving power of objectives in photographing lined and radial test plates located in the focal plane of objectives of collimators. Opt.-makh.prom. 25 no.5:26-27 My 158. (~GTM 11--9) (Collimators) (I'hotographic optics) r~- I T( T'. V.. V Lf)V T.. ; SlIP E`ectroless uluting of ],-uigneslum lzv. vys. ucheb. 7,av. ; khirn. i khta. tel-h. 1. JjLffdra cheskogo Institu-ta Inyasno." i. ,'.0!.0~-hnc%,Ir S/020/60/133/04/16/031 B019/BO6O AUTHORS% Kalmykova, S. S.., Shestopalov, V. P. TITLEs The Theory of the Modified Spiral With a Counter Winding PERIODICALg Doklady Akademii nauk SSSR, 1960, Vol. 133, No. 4, Pp. 813-816 TEXTs Fig. 1 shows the system defined by the authors as a modified spiral with counter winding. The same fi:gure also depicts five cases of different current distributions in the modified spiral. For the case (Fig. 1) in which the longitudinal component of the electric field on the axis differs from zero, the Fourier coefficients of the currents are given by the equation system (1). The dispersion equation of the system for this case is written down with formula (2). By a comparison of the dispersion curve, shown in Fig. 2, with that of a double spiral with a counter winding, it is shown that there are no differences between them in the region of longer waves. The physical causes of these properties of the spirals are discussed. Subsequently, the authors compare with the help of a diagram (Fig- 3) between the energy densities of the first Card 112 The Theory of the Modified Spiral With S/020/60/133/04/16/031 a Counter Winding B019/BO60 three components of an ordinary spiral, a double spiral with a counter winding, and that of the system considered here. The advantages offered by the system investigated here, which basically consist of a considerably lower stored energy of the system, are discussed. A comparison of the impedances of the three systems considered here, is made in Fig. 4. The impedance of the system under investigation is found to be larger compared to the other two. Finally, the authors discuss the dispersion equations for the other four cases of current distribution (Fig. 1) and then state that a comparison of the results obtained here with those from other papers (Refs. 7, 8, 9) yields a good agreement between theory and experiments. There are 4 figures and 9 references: 6 Soviet and 3 US~ ASSOCIATIOPt KharIkovskiy gosudarstvennyy universitet im. A.M. GorIkogo KharIkov State University imeni A. M. Gorlkiy PRESENTED& March 4, 1960, by M. A. Leontovich, Academician SUBMITTEDi March 3, 1960 Card 2/2 lilt fiLRfpl1L1nwfi1 vr;L"." p. -~L 20926 S/057/61/031/003/010/019 B125/B209 130 to (Lisa, AUTHORSt Shestopalov, V. P. and Kalmykova, S. S. ------------ TITLEs The theory of a modified spiral with cross winding- PERIODICALt Zhurnal tekhnicheskoy fiziki, v. 31, no- 3, 1961t 327-335 TEXT: The authors study the equations and the distribution of'the power flux in a modified spiral with cross winding. The spatial modification 07f a double spiral which has been thoroughly investigated by S. D. Vagner and N. I. VanIchkova (ZhTFI,29,12,1475,1959), as well as by E. Johnson a.;! a.L.Malter (Phys.Rev.98OP5891950)p is termed a modified spiral with cross winding. It donserves the symmetry of a.double spiral with cross winding, but can easier be manufactured and facilitatea heat abduction. The dis - persion equation of this system is ascertained by the method of variations in the form suggested by G. V. Kisunlko. Thus, the solution of the boundary problem is strictly limited to the Postvlate that the functionals 8KA (N) 2 j (8,V, -j" -#-J" (N) JA, [X)) ds Of 0 1 Card 1/11 - --------- 41 20926 S/057/61/031/003/010/019 The theory of a modified spiral with cross ... 3125/B209 be steady. '-f, and X denote the fi.eld strengths on the surface S dividing e,h the volume-V Into the regions I and 2; 10 denotes the electric current and magnetic flux, j e h the linear homogeneous operaiors of the magnetic 1 2 and the electric impedance, respectively, on the surface S on the side of region 1 and 21 respectively. When the Ritz method is employed, and 6 and T are approximated by linear combinations a 1Q1 +. a2 &J2 +...,+ ancin, the e,h condition (1) for the functional will consist of the system of equations aK e,h /aa 0 representing the variated parameters. These equations play'the role of approximate boundary conditions. Fig. 1 shows the modified spiral with the counter-winding and the path of the currents on its surfaee.. The currentis approximatbd by the double Fourier expan sion e' e E, K. A.-M ka P:2 K. 1. a T . ~.a) K. H. P.a Card- 2-/11 K.' (P.a) 1. (P.r) 20926 3/057/61/031/003/010/'Olg The theory of a modified spiral with cross ... B12VB2001 2 2 2 I K -are the modified Bessel functions of m-th order, h - k h h M m n n n' 0 +(2nn)/D,ho M Cj/V 0 9 k - cile (ci - frequency, c -velocity of light). The authors employ the expansion j a Q . The problem is solved in nm uv I.Ly simple one-term approximation. Wh en the charges do not accumulate on the band edges, j and j read as followes z A D b4se. - b, it - 704 T4R rb 2 2 A D D D D A. _-2 b4s4 - 6, -W4?4?0'. _(4) A A b