Sommaire du Fascicule no. 12

Abstracts of Papers: Topology

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Abstracts of Papers: Logic and foundations

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Abstracts of Papers: Algebra and theory of numbers

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Review: J. Bass, Les méthodes modernes du calcul des probabilités et leur application au problème de la turbulence

Loève, M.

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New publications

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Two statements concerning the article on G. H. Hardy

Littlewood, J. E. ; Pólya, G. ; Mordell, L. J. ; Titchmarsh, E. C. ; Davenport, H. ; Wiener, Norbert

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Errata, Volume 55

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Errata

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A note of correction

Albert, A. A.

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Note on a paper by C. E. Rickart

Dilworth, R. P. ; Ward, Morgan

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New publications

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A characterization of conformally flat spaces

Taub, A. H.

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p. 85-89

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The differential invariants of a two-index tensor

Kosambi, D. D.

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p. 90-94

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Coverings and Betti numbers

Eckmann, Beno

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p. 95-101

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The Mayer homology theory

Spanier, Edwin H.

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p. 102-112

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A note on homogeneous plane continua

Jones, F. Burton

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p. 113-114

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On the characteristic equations of certain matrices

Parker, W. V.

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p. 115-116

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On matrices with elements in a principal ideal ring

Leavitt, William ; Whaples, George

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p. 117-118

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Nonlinear networks. III

Duffin, R. J.

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p. 119-129

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On the summability of certain orthogonal developments of nonlinear functionals

Cameron, R. H. ; Hatfield, C.

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p. 130-145

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Summability with a governor of integral order

Wing, G. Milton

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p. 146-155

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On the representation of a function as a Hellinger integral

Stark, Richard H.

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p. 155-159

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On the extension of a transformation

Mickle, Earl J.

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p. 160-164

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An initial value problem for a class of equations of mixed type

Bergman, Stefan

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p. 165-174

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An inversion formula for the generalized Stieltjes transform

Sumner, D. B.

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p. 174-183

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On the mean modulus of an analytic function

Beckenbach, E. F. ; Gustin, W. ; Shniad, H.

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p. 184-190

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An integration scheme of Maréchal

Wilkins, J. Ernest

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p. 191-192

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A method of analytic continuation suggested by heuristic principles

Bruynes, H. ; Raisbeck, G.

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p. 193-197

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On the reality of zeros of Bessel functions

Hillman, Abraham

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p. 198-200

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A property of power series with positive coefficients

Erdös, P. ; Feller, W. ; Pollard, H.

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p. 201-204

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A consistency theorem

Brunk, H. D.

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p. 204-212

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A substitute for the Picone formula

Leighton, Walter

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p. 325-328

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Über die Lage der Nullstellen eines Abstandspolynoms und seiner Derivierten

v. Sz. Nagy, Gyula

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p. 329-342

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The solution of linear integral equations by means of Wiener integrals

Ostrom, Theodore G.

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p. 343-354

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On the solution of ordinary differential equations of the first order invariant under contact transformations

González, Mario O.

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p. 355-362

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Note on regions omitted by univalent functions

Goodman, A. W.

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p. 363-369

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On Sonine's integral formula and its generalization

Hsü, Hsien-Yü

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p. 370-378

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A note on the ergodic theorems

Dowker, Yael Naim

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p. 379-383

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Orthogonality properties of $C$-fractions

Frank, Evelyn

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p. 384-390

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Convergence of continued fractions in parabolic domains

Wall, H. S.

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p. 391-394

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Remarks on the notion of recurrence

Wolfowitz, J.

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p. 394-395

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The normal approximation to the Poisson distribution and a proof of a conjecture of Ramanujan

Cheng, Tseng Tung

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p. 396-401

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Spaces of continuous functions

Myers, S. B.

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p. 402-407

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On a theorem of representation

Abdelhay, J.

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p. 408-417

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On the groups of repeated graphs

Frucht, Robert

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p. 418-420

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A class of topological spaces

Hewitt, Edwin

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p. 421-426

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Remarks on cyclic additivity

Youngs, J. W. T.

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p. 427-432

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On fibering spheres by toruses

Eckmann, B. ; Samelson, H. ; Whitehead, G. W.

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p. 433-438

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On continuous curves irreducible about compact sets

Young, Gail S.

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p. 439-441

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A simple solution of the diophantine equation $x^3 + y^3 = z^2 + t^2$

Campbell, R. C.

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p. 442-446

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Square roots in locally Euclidean groups

Gleason, A. M.

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p. 446-449

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Note on a theorem of Dickson

Shapiro, Harold N.

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p. 450-452

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Combinatorial homotopy. II

Whitehead, J. H. C.

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p. 453-496

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Numbers of solutions of equations in finite fields

Weil, André

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p. 497-508

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The February meeting in New York

Hollcroft, T. R.

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p. 509-521

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The February meeting in Chicago

Youngs, J. W. T.

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p. 522-527

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Book Review: Einar Hille, Functional analysis and semi-groups

Bochner, S.

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p. 528-533

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Notes

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p. 534-542

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New publications

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p. 543-544

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The Schwarzian derivative and schlicht functions

Nehari, Zeev

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p. 545-551

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Remarks on a paper by Zeev Nehari

Hille, Einar

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p. 552-553

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Special properties of measure preserving transformations

Diliberto, Stephen P.

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p. 554-562

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Generalized convex functions and second order differential inequalities

Peixoto, Mauricio Matos

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p. 563-572

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A recurrence formula for $\zeta \left( {2n} \right)$

Kuo, Huan-Ting

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p. 573-574

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On a problem of Max A. Zorn

Ree, Rimhak

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p. 575-576

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A note on $S$-spaces

Begle, E. G.

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p. 577-579

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Some remarks about Lie groups transitive on spheres and tori

Borel, Armand

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p. 580-587

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A note on least common left multiples

Stewart, B. M.

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p. 587-591

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Integral extensions of a ring

Chatland, Harold ; Mann, H. B.

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p. 592-594

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A theorem on difference polynomials

Cohn, Richard M.

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p. 595-597

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Inversive difference fields

Cohn, Richard M.

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p. 597-603

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The Wedderburn principal theorem for alternative algebras

Schafer, R. D.

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p. 604-614

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A note on the minimum of a binary form

Ankeny, N. C.

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p. 615-618

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On a theorem of H. Cartan

Brauer, Richard

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p. 619-620

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A theorem on integral symmetric matrices

Jones, B. W.

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p. 620-622

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Invariants of intersection of certain pairs of space curves

Hsiung, Chuan-Chih

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p. 623-628

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On essentially absolutely continuous plane transformations

Radó, Tibor

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p. 629-632

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The uniqueness of a certain line involution

Wylie, C. R.

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p. 633-638

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Superposability properties of naturally metrized groups

Ellis, David

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p. 639-640

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Probability methods in some problems of analysis and number theory

Kac, M.

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p. 641-665

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The April meeting in Durham

Hollcroft, T. R.

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p. 666-677

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The April meeting in Philadelphia

Hollcroft, T. R.

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p. 678-705

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The April meeting in Lawrence

Youngs, J. W. T.

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p. 706-714

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The April meeting in Stanford University

Green, J. W.

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p. 714-720

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Review: H. S. M. Coxeter, Regular polytopes

Allendoerfer, C. B.

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p. 721-722

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Review: N. Rashevsky, Mathematical theory of human relations. An approach to a mathematical biology of social phenomena

Householder, Alston S.

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p. 722-724

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Notes

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p. 725-727

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Splitting criteria and extension types

Baer, Reinhold ; Williams, Christine

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p. 729-743

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A note on locally compact groups

Gleason, A. M.

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p. 744-745

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On the existence of the inverse operation in alternation groupoids

Sholander, Marlow

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p. 746-757

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A theorem on quadratic forms over the ring of 2-adic integers

Jones, Burton W. ; Durfee, William H.

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p. 758-762

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Absolute-valued algebraic algebras

Albert, A. A.

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p. 763-768

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Inner derivations of non-associative algebras

Schafer, R. D.

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p. 769-776

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On the theory of sum-equations

Sheffer, I. M.

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p. 777-788

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Approximation by curves of a unisolvent family

Motzkin, Th.

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p. 789-793

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Approximation in ${\text{LIP}}\left( {\alpha ,p} \right)$

Civin, Paul

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p. 794-796

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On Descartes-Harriot's rule

Turán, Paul

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p. 797-800

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A bound for the mean value of a function

Wilkins, J. Ernest

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p. 801-803

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A generalized convolution for finite Fourier transformations

Jacobson, A. W.

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p. 804-809

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A theorem on monotone interior transformations

Moise, Edwin E.

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p. 810-811

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A convex metric for a locally connected continuum

Bing, R. H.

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p. 812-819

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Cyclic invariance under multi-valued maps

Wallace, A. D.

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p. 820-824

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Boundary value problems in aerodynamics of lifting surfaces in non-uniform motion

Reissner, Eric

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p. 825-850

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Convexity theorems

Salem, R.

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p. 851-860

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Third Symposium on Applied Mathematics

Churchill, R. V. ; Youngs, J. W. T.

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p. 861-863

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Review: N. H. McCoy, Rings and ideals

MacDuffee, C. C.

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p. 864-866

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Review: R. K. Luneburg, Mathematical analysis of binocular vision

Landahl, H. D.

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p. 866-867

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Review: G. Vranceanu, Leçons de géométrie différentielle. Vol. 1

Hlavatý, V.

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p. 867-870

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Abstracts of Papers: Analysis

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p. 871-875

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Notes

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p. 876-882

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New publications

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p. 883-884

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Some probability limit theorems

Mark, A. M.

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p. 885-900

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Integral distances in Banach spaces

Fullerton, R. E.

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p. 901-905

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Real roots of Dirichlet $L$-series

Rosser, J. Barkley

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p. 906-913

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A necessary and sufficient condition that a summability method be stronger than convergence

Wilansky, Albert

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p. 914-916

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A problem of Robinson

Garabedian, P. R.

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p. 917-922

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Some generalizations of Helly's theorem on convex sets

Horn, Alfred

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p. 923-929

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A theorem in finite projective geometry

Yang, Chung-Tao

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p. 930-933

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Some consequences of a well known theorem on conics

Rosenbaum, R. A. ; Rosenbaum, Joseph

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p. 933-935

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On the frequency of pairs of square-free numbers with a given difference

Mirsky, L.

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p. 936-939

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The irregularity of an algebraic surface and a theorem on regular surfaces

Muhly, H. T.

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p. 940-947

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On the Euclidean algorithm in quadratic number fields

Chatland, H.

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p. 948-953

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Transcendence of factorial series with periodic coefficients

Dietrich, Verne E. ; Rosenthal, Arthur

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p. 954-956

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A nonhomogeneous minimal set

Floyd, E. E.

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p. 957-960

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An inequality related to the isoperimetric inequality

Loomis, L. H. ; Whitney, H.

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p. 961-962

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Some elementary topological properties of essential maximal model continua

Scott, W. R.

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p. 963-968

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A new proof of E. Cartan's theorem on the topology of semi-simple groups

Mostow, George Daniel

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p. 969-980

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L-S-homotopy classes on the topological image of a projective plane

Morse, Marston

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p. 981-1003

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Table of the zeros and weight factors of the first fifteen Laguerre polynomials

Salzer, Herbert E. ; Zucker, Ruth

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p. 1004-1012

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Memoirs of the American Mathematical Society

Kline, J. R.

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p. 1013-1014

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Measurable transformations

Halmos, Paul R.

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p. 1015-1034

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The summer meeting in Boulder

Green, J. W.

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p. 1035-1081

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Review: H. S. Wall, Analytic theory of continued fractions

Thron, W. J.

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p. 1083-1085

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Review: D. E. Rutherford, Substitutional analysis

Robinson, G. de B.

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p. 1085-1087

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Notes

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p. 1088-1092

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Classification of 2-manifolds with singular points

Lu, Chien-Ke

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p. 1093-1098

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A note on equicontinuity

Fort, M. K.

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p. 1098-1100

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Partitioning a set

Bing, R. H.

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p. 1101-1110

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Grille decomposition and convexification theorems for compact metric locally connected continua

Moise, Edwin E.

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p. 1111-1121

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On the number of positive integers less than $x$ and free of prime divisors greater than $x^c$

Ramaswami, V.

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p. 1122-1127

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On strictly minimal topological division rings

Nachbin, Leopoldo

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p. 1128-1136

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A note on the unique factorization of abstract algebras

Thompson, Frederick B.

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p. 1137-1141

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The Euclidean algorithm

Motzkin, Th.

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p. 1142-1146

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On Minkowski bodies of constant width

Kelly, Paul J.

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p. 1147-1150

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Hypergeodesic curvature and torsion

Dekker, David B.

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p. 1151-1168

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Some remarks on ruled surfaces

Wilkins, J. Ernest

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p. 1169-1176

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On interpolation to an analytic function in equidistant points: problem $\beta$

Walsh, J. L. ; Sewell, W. E.

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p. 1177-1180

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Note on the coefficients of the cyclotomic polynomial

Bateman, P. T.

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p. 1180-1181

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On the equiconvergence of Fourier series and Fourier integrals

Herrera, Félix Eduardo

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p. 1182-1190

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Index of volume 55

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p. 1193-1200

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