Sommaire du Fascicule no. 12

Review: E. Cartan, Les Espaces Métriques Fondés sur la Notion d'Aire

Knebelman, M. S.

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Review: O. Schreier and V. Sperner, Einführung in die analytische Geometrie und Algebra. Volume 2

Tamarkin, J. D.

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Review: Gaston Julia, Exercises d'Analyse. Vol. 4

Oakley, C. O.

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Review: F. Schilling, Pseudosphärische, Hyperbolisch-Sphärische und Elliptisch-Sphärische Geometrie

Emch, Arnold

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Review: H. G. Telling, The Rational Quartic Curve in Space of Three and Four Dimensions

Tracey, J. I.

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Review: G. Darmois, L'Emploi des Observations Statistiques. Méthodes d'Estimation

Baten, W. D.

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Review: René de Possel, Sur la Théorie Mathématique des Jeux de Hasard et de Réflection

Baten, W. D.

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Review: G. Julia, Éleménts de géométrie infinitésimale

Struik, D. J.

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The New York conference on algebraic geometry

Walker, R. J.

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Review: Oystein Ore, L'algèbre abstraite

Brauer, Richard

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Erratum

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Review: R. Brauer, Über die Darstellung von Gruppen in Galoisschen Feldern

Brahana, H. R.

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Addendum

Michal, A. D. ; Paxson, E. W.

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Review: W. D. MacMillan, Dynamics of Rigid Bodies

Franklin, Philip

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Model stars

Russell, Henry Norris

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p. 49-77

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Divisors of second-order sequences

Hall, Marshall

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p. 78-80

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Note on group postulates

Boggs, Herbert ; Rainich, G. Y.

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p. 81-84

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On the summability of Fourier series

Randels, W. C.

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p. 85-89

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Curves belonging to pencils of linear line complexes in $S_4 $

Wylie, C. R.

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p. 90-94

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Products of Nörlund transformations

Silverman, L. L.

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p. 95-101

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A condition in invariant form for a net without detours

Robinson, Robin

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p. 102-104

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Indices in cubic fields

Hall, Marshall

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p. 104-108

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On certain arithmetic functions of several arguments

Carlitz, Leonard

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p. 109-114

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On the expansion of a function analytic at distinct points

Ketchum, P. W.

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p. 115-121

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Dualism in Abelian groups

Baer, Reinhold

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p. 121-124

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La dérivée aréolaire et les potentiels généralisés dans la mécanique des milieux continus

Théodoresco, N.

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p. 125-132

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Distance functions and the metrization problem

Frink, A. H.

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p. 133-142

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An involutorial line transformation determined by a congruence of twisted cubic curves

Clarkson, J. M.

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p. 142-144

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The Annual Meeting of the Society

Kline, J. R.

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p. 145-157

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Notes

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p. 159-164

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Abstracts of papers

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p. 165-208

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Some topics in sampling theory

Rietz, H. L.

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p. 209-230

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A generalization of Schwarz's Lemma

Carathéodory, Constantin

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p. 231-241

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A note on matrices defining total real fields

Albert, A. A.

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p. 242-244

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The category and Borel class of certain subsets of $\mathcal{L}_p$

Oxtoby, J. C.

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p. 245-248

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A generalized element of decomposition for doubly periodic functions

Nichols, G. D.

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p. 249-252

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Errata in the Lehmer factor stencils

Elder, J. D.

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p. 253-255

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An application of derivatives of non-analytic functions in plane stress problems

Jensen, V. P. ; Holl, D. L.

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p. 256-260

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On certain configurations of points in space and linear systems of surfaces with these as base points

Emch, Arnold

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p. 261-265

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Einstein spaces of class one

Allendoerfer, C. B.

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p. 265-270

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An arithmetic function

Carlitz, Leonard

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p. 271-276

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On line integrals and differential equations, especially those of dynamics

Lewis, D. C.

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p. 277-282

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A simplified solution of the equation $\Delta y\left( x \right) = F\left( x \right)$

Sheffer, I. M.

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p. 283-287

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On the summability by positive typical means of sequences $\left\{ {f\left( {n\theta } \right)} \right\}$

Robertson, M. S.

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p. 287-292

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Postulates for Boolean algebra in terms of Ternary rejection

Whiteman, Albert

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p. 293-298

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Some formulas for factorable polynomials in several indeterminates

Carlitz, Leonard

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p. 299-304

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The February meeting in New York

Richardson, R. G. D.

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p. 305-306

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The March meeting in New York

Hollcroft, T. R.

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p. 307-314

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Review: R. von Mises, Wahrscheinlichkeit Statistik und Wahrheit

Doob, J. L.

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p. 316-317

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Review: E. Tornier, Wahrscheinlichkeitsrechnung und allgemeine Integrationstheorie

Doob, J. L.

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p. 317-318

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Notes

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p. 319-326

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Abstracts of papers

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p. 327-336

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New publications

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p. 337-344

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The role of algebra in topology

Lefschetz, Solomon

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p. 345-359

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Circles in which $\left| {F\left( x \right)} \right|$ has a singularity or assumes preassigned values

Cell, J. W.

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p. 359-362

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Generalized convex functions

Beckenbach, E. F.

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p. 363-371

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Sufficient conditions for a non-regular problem in the calculus of variations

Ewing, G. M.

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p. 371-376

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A note on Young-Stieltjes integrals

Dressel, F. G.

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p. 377-378

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Branch-point manifolds associated with a linear system of primals

Hollcroft, T. R.

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p. 379-383

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Note on the ideals of cyclic algebras

Hull, Ralph

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p. 384-387

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Polynomial approximation on a curve of the fourth degree

Jackson, Dunham

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p. 388-393

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General Tensor analysis

Michal, A. D.

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p. 394-401

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On a theorem of Engel

Zorn, Max

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p. 401-404

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On an integral test of R. W. Brink for the convergence of series

Rajagopal, C. T.

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p. 405-412

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On a class of recurrent sequences

Robbins, H. E.

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p. 413-417

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Note on a certain ring-congruence

Vandiver, H. S.

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p. 418-423

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A theorem on mean ruled surfaces

Foster, Malcolm

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p. 423-424

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A note on the relation between integral and Tchebycheff approximation by polynomials in the complex domain

Sewell, W. E.

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p. 425-431

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Equivalence of algebraic extensions

Baer, Reinhold

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p. 432-437

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A complete system for the simple group $G_{60}^6$

Strom, C. W.

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p. 438-440

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The April meeting at Stanford University

Putnam, T. M.

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p. 441-443

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The April meeting in Chicago

Ingraham, M. H.

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p. 443-448

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Hadamard's Memorial Volume

Hildebrandt, T. H.

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p. 449-451

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Ford on Asymptotic Developments

Langer, Rudolph E.

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p. 452-454

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Levy and Roth on Probability

Camp, Burton H.

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p. 454-456

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Review: S. Rosseland, Theoretical Astrophysics

Margenau, Henry

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p. 457-458

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Review: Actualités Scientifiques et Industrielles

Tamarkin, J. D.

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p. 458-459

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Review: Gaston Julia, Introduction Mathématique aux Théories Quantiques

Murnaghan, F. D.

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p. 459-460

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Review: W. Krull, Idealtheorie

Ore, Oystein

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p. 460-461

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Notes

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p. 462-465

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Abstracts of papers

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p. 466-476

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New publications

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p. 477-480

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Modern methods of analysis in potential theory

Evans, G. C.

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p. 481-502

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The existence of algebraic plane curves

Hollcroft, T. R.

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p. 503-521

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Jensen's inequality

McShane, E. J.

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p. 521-527

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Bilinear functionals on the space of bounded, measurable functions

Goldstine, H. H.

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p. 528-531

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On locally compact metrisable spaces

Vaughan, H. E.

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p. 532-535

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On some gap theorems for Euler's method of summation of series

Okada, Yoshitomo

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p. 536-540

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Note on the continuity of the Ergodic function

Martin, M. H.

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p. 541-545

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Real canonical binary symmetric trilinear forms

Oldenburger, Rufus

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p. 546-553

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Some inequalities concerning functions of exponential type

Duffin, R. J. ; Schaeffer, A. C.

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p. 554-556

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Note on the relation between continuity and degree of polynomial approximation in the complex domain

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

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p. 557-563

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On bounded convolutions

Van Kampen, E. R. ; Wintner, Aurel

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p. 564-566

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On a theorem of higher reciprocity

Whiteman, Albert

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p. 567-572

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The most general transformations of plane regions which transform circles into circles

Carathéodory, Constantin

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p. 573-579

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A note on determinants

Ingraham, M. H.

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p. 579-580

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A new definition of a Stieltjes integral

Copeland, A. H.

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p. 581-588

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A set of postulates for Boolean algebra

Hoberman, Solomon ; McKinsey, J. C. C.

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p. 588-592

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The semicentennial celebration of the American Mathematical Society—September 6–9, 1938

Fry, Thornton C.

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p. 593-594

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Herbert Ellsworth Slaught—In memoriam

Bliss, G. A.

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p. 595-597

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De Donder on Calculus of Variations

Busemann, Herbert

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p. 598-599

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Review: Gaston Julia, Cours de Cinématique

Campbell, J. W.

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p. 600-601

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Review: R. H. Fowler, Statistical Mechanics

Frank, N. H.

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p. 601-602

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Review: M. Fréchet, Généralités sur les Probabilités. Variables Aléatoires

Struik, D. J.

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p. 602-603

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Review: Hélène Freda, Méthode des Caractéristiques pour l'Intégration des Équations aux Dérivées Partielles Linéaires Hyperboliques

Poor, V. C.

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p. 604-605

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Review: K. Knopp, Elemente der Funktionentheorie

Raynor, G. E.

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p. 605-606

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Review: V. A. Kostitzin, Biologie Mathématique

Robbins, R. B.

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p. 606-607

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Notes

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p. 608-611

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Abstracts of papers

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p. 612-628

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New publications

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p. 629-632

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Boundary value problems of the calculus of variations

Reid, W. T.

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p. 633-666

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$p$-algebras of exponent $p$

Jacobson, Nathan

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p. 667-670

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Concerning normal and completely normal spaces

Jones, F. B.

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p. 671-677

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On an integral equation with an almost periodic solution

Lewitan, B.

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p. 677-679

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An indecomposable limit sum

Rutt, N. E.

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p. 680-685

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Cyclic relations in point set theory

Stopher, E. C.

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p. 686-694

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A condition that a first Boolean function vanish whenever a second does not

McKinsey, J. C. C.

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p. 694-696

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Concerning special centers of projection for an algebraic space branch

Turpin, W. S.

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p. 697-702

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A note on the Cesàro method of summation

Curtiss, J. H.

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p. 703-708

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Inequalities satisfied by a certain definite integral

Hardy, G. H. ; Levinson, Norman

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p. 709-716

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Note on a theorem characterizing geodesic arcs in complete, convex metric spaces

Blumenthal, L. M.

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p. 717-719

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A transformation associated with the trisecants of a rational twisted quintic curve

Dye, L. A.

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p. 719-723

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The resultant matrix of two polynomials

Flood, M. M.

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p. 724-729

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On symmetric determinants

Parker, W. V.

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p. 730-732

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$p$-algebras over a field generated by one indeterminate

Albert, A. A.

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p. 733-736

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The four-vertex theorem for a certain type of space curves

Graustein, W. C. ; Jackson, S. B.

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p. 737-741

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Proof of the non-isomorphism of two collineation groups of order 5184

Lewis, F. A.

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p. 742-744

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The summer meeting in State College

Hollcroft, T. R.

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p. 745-757

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Review: T. Radó, Subharmonic Functions

Tamarkin, J. D.

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p. 758-759

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Notes

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p. 760-764

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Abstracts of papers

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p. 765-780

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New publications

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p. 781-784

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Topological properties of differentiable manifolds

Whitney, Hassler

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p. 785-805

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On the remainder in the approximate evaluation of the probability in the symmetrical case of James Bernoulli's theorem

Olds, C. D.

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p. 806-812

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The successive iterates of the Stieltjes Kernel expressed in terms of the elementary functions

Widder, D. V.

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p. 813-817

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Functions of coprime divisors of integers

Bell, E. T.

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p. 818-822

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Neo-Sylvester contractions and the solution of systems of linear equations

Wren, F. L.

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p. 823-834

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Note on an elementary geometric existence theorem

Ketchum, P. W.

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p. 835-839

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An involutorial line transformation in $S_4$

Wylie, C. R.

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p. 839-847

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Some symbolic identities

Neikirk, L. I.

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p. 848-851

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On fourth order self-adjoint difference systems

Latshaw, V. V.

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p. 851-855

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On certain matrices and their determinants

Roth, W. E.

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p. 856-861

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Remarks on the initial value problem of the general partial differential equation of the first order

Cooley, H. R.

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p. 862-868

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On the existence of linear functionals defined over linear spaces

Agnew, R. P.

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p. 868-872

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On reflection of singularities of harmonic functions corresponding to the boundary condition ${{\partial u} \mathord{\left/ {\vphantom {{\partial u} {\partial n + au}}} \right. \kern-\nulldelimiterspace} {\partial n + au}} = 0$

Poritsky, Hillel

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p. 873-884

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The calculus of variations applied to Nörlund's sum

Fort, Tomlinson

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p. 885-887

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