SCIENTIFIC ABSTRACT WAZEWSKI, T. - WDOWIAK, S.

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CIA-RDP86-00513R001961510013-4
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RIF
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S
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100
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November 2, 2016
Document Release Date: 
September 1, 2001
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13
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Publication Date: 
December 31, 1967
Content Type: 
SCIENTIFIC ABSTRACT
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AZ PHASE I BOOK EXPLOITATION POL/4232 Polskie towarzystwo matema~tyczrne Prace Matematyczne, 110 1 (Mathematical Transactions, Vol. 2, pt. 1). Warszawa, Pan"stwowe vvrd-wo naukowe, 1956. -200 P. 790 copies printed. Editorial Committee: Wladyslaw Orlicz (Chief Ed.), Stefan Drobot (Deputy Chief Ed.), Adam Bieleckis Stanislaw Hartman, Jan Mikusin'ski, Roman-Sikorski., Marceli Stark, Hanna Szmuszkowicz, Krzysztof Tatarkiewicz, and Wlodzimierz Wrona. PURPOSEz This book is intended for mathematicians. COVERAGE: This collection of articles deals with the theory of numbers,, algebra, and some other subjects connected with matheniaties...Among topics treated are.the pursuit method of the theory of games and a biography.of a Polish mathematician K. Zurawaki,'consisting mainly of a discussion'of his mathe- matical work. No personalities are mentioned. References and summaries in Russian and English are given after several of the articles. Card 1/4 Mathematical Transactions (Cont.) POL/4232 TABLE OF CONTENTS: WalewzkJ- ,.~ Effect of New Mathematical Methods on the De- ie-19pmen~ of Classical Branches of Mathematics Steinhaus, H. Probability Calculation as an Instrument for Research in Natural Science and Production Sierpi6ski,p Wo What We Know and Do Not Know About the Decompo- sition of Natural Numbers Into Sums of Squares, Cubes, and Bisquares Steinhaus, H. Length, Shape, and Area Slebodzin'ski, W. Scientific Work Carried Out by Kazimierz 2orawaki Dobrzycki, S. On the Geometry of the Zeros of Polynomials Zi?ba., A. On Pursuit Card 2/4 1 27 56 65 79 94 117 Mathematical Transactions (Cont.) -POL/4232 SierplAski, W. On Certain Expansions of Real Numbers Into Infinite Rapidly Converging Products 131 Goetz,.A., S. Hartman, and H. Steinhaus. Invariant Measures in Spaces With a Transitive Group of Transformations 139 Sikoraki, R. On the Vitali Theorem 146 G6rskix.J. On a Certain Sequence Which Converges to the Generalized Transfinite Diameter of a Plane Set 152 Krzyi, J. OUvier's Theorem and Its Generalizaiions 159 Knapowski,, 3. A Theorem in the Theory of FiniteGroups, :L65 Ehrenfeucht, A. A Criterion of Indecomposability of Polynomials 167 Knapowski, S. A Criterion of Irredu6ibility of~the Equations of Degree p + 1 170 Czarnota, A. The Necessary and Sufficient Conditions for the Card 3/4 Mathematical Transactions (Cort.) POL/4232 Modul es of the Congruence rn I (mod n) 172 r Reports-From Scientific Sessions Held at the Polish Mathe- matical Society 179 AVAILABLE: Library of Congrefis AC/~rbc/ec Card 4/4 9-16-60 WAZEWS T. "A. Plis' method of determining the existence domain of the solution of Cauchy's problem for partial equations of the first order. In French." P. 131 (Bulletin) Vol. 4, no. 3, 1956 Varsovie,,Poland SO: Monthly Index of East European Accessions (EEAI) LG- Vol. 7, no. 4, April 1958 _W 41A 7 N "g, A Ali. 5 We$ can 7 Vol "OHnn unkueness 3jr SA6, S4 r.- Sci. hiatil., As Bull Acid on. v'j. :(19M), 145-A48. -14 iolution ~X--~X('Y .d th o right 1', f e ..un qtie to or any- .80 of T) 'defined In kV;gj1, %O'has property if f0 j reV.,,ry real number s s Of P4e r,~~,Z 2 A there exists a sequence, of 'Pq; iive.: solution =411 that either (1) there exists s>0 such that lim for'SO.SS +e, or. (11) there exists a sequen6.of numbers $X>S t -+S as n 4w and fo., each "n -0 as t--q rv --.-fiked x (s< `~-Meorern: Suppo k-that-the right ha~ad members of. t he k (1)~aefined in'the open set R, s4tis q y', fy the Inc ualit ('.X)-.-F