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157 NOTES, Exercises of Differential Equations

A new journal, the Rendiconti del Seminario Matematico délia Reale Uni- versité di Padova, has been founded, under the editorship of A. Comessatti,.

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Wil NOTES 157
NOTES
A new journal, the Rendiconti del Seminario Matematico délia Reale Uni-
versité di Padova, has been founded, under the editorship of A. Comessatti,
E. Laura, A. Tonolo, and G. Vitali.
The next International Congress of Applied Mathematics will be held at
Cambridge, England, in the Summer of 1934.
The Centenary Meeting of the British Association for the Advancement of
Science will be held at London, September 23-30, 1931, under the presidency of
General Smuts. Sir J. J. Thomson has been elected president of Section A
(mathematical and physical sciences).
The Mexican scientific society "Antonio Alzate" (founded in 1884) has, by
virtue of a resolution passed by the President of the Republic and the Depart-
ment of Public Instruction, been constituted as the National Academy of Sci-
ences,
under the title Academia Nacional de Ciencias Antonio Alzate, and was
inaugurated December 9, 1930.
At the Cleveland meeting of the American Association for the Advance-
ment of Science, Assistant Professor C. F. Roos, of the department of mathe-
matics of Cornell University, was elected permanent secretary, as successor to
Professor B. E. Livingston, who becomes general secretary. Professor E. R.
Hedrick was elected vice-president and chairman of Section A (mathematics),
and Professor G. C. Evans vice-president and chairman of Section K (social
and economic sciences).
At the annual meeting of the Mathematical Association of America, Pro-
fessor E. T. Bell was elected president, and Professors Arnold Dresden and
C. N. Moore vice-presidents.
The Paris Academy of Sciences announces the award of the following prizes
for 1930: the Poncelet prize to Arnaud Denjoy, for his mathematical work; the
Francceur prize to Eugene Fabry, for his study of the singularities of analytic
functions; the Henri de Parville prize to Emile Duchêne, for his work in aero-
dynamics and ballistics; the Lalande prize to Nicolas Stoyko, for his theoretical
and practical work in the calculation of planetary orbits; the Pierre Guzman
prize to Alexandre Veronnet, for his work in cosmogony; the Delalande-
Guérineau prize to Félix Ollivier, for his work on photogrammetry entitled La
Topographie dans Topographes; the LaCaze prize to Henri Abraham, for his
scientific work; the Hébert prize to Richard Langlois, for his work entitled Les
Machines Asynchrones à Champs Tournants, à Bagues et à Collecteur, Théorie
Générale et Applications; The Montyon prize in statistics to René Roy, for his
work in the application of mathematics to statistics and economics; the Binoux
prize for history and philosophy of the sciences jointly to Pierre Brunet, for
his work entitled Les Physiciens Hollandais et la Méthode Expérimentale en
France au XVIIle Siècle and his biography of Maupertuis, and to Niels Niel-
sen, for his work entitled Géomètres Français sous la Révolution; the Jeanbernat-
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Wil NOTES^157

NOTES

A new journal, the Rendiconti del Seminario Matematico délia Reale Uni- versité di Padova, has been founded, under the editorship of A. Comessatti, E. Laura, A. Tonolo, and G. Vitali.

The next International Congress of Applied Mathematics will be held at Cambridge, England, in the Summer of 1934.

The Centenary Meeting of the British Association for the Advancement of Science will be held at London, September 23-30, 1931, under the presidency of General Smuts. Sir J. J. Thomson has been elected president of Section A (mathematical and physical sciences).

The Mexican scientific society "Antonio Alzate" (founded in 1884) has, by virtue of a resolution passed by the President of the Republic and the Depart- ment of Public Instruction, been constituted as the National Academy of Sci- ences, under the title Academia Nacional de Ciencias Antonio Alzate, and was inaugurated December 9, 1930. At the Cleveland meeting of the American Association for the Advance- ment of Science, Assistant Professor C. F. Roos, of the department of mathe- matics of Cornell University, was elected permanent secretary, as successor to Professor B. E. Livingston, who becomes general secretary. Professor E. R. Hedrick was elected vice-president and chairman of Section A (mathematics), and Professor G. C. Evans vice-president and chairman of Section K (social and economic sciences). At the annual meeting of the Mathematical Association of America, Pro- fessor E. T. Bell was elected president, and Professors Arnold Dresden and C. N. Moore vice-presidents. The Paris Academy of Sciences announces the award of the following prizes for 1930: the Poncelet prize to Arnaud Denjoy, for his mathematical work; the Francceur prize to Eugene Fabry, for his study of the singularities of analytic functions; the Henri de Parville prize to Emile Duchêne, for his work in aero- dynamics and ballistics; the Lalande prize to Nicolas Stoyko, for his theoretical and practical work in the calculation of planetary orbits; the Pierre Guzman prize to Alexandre Veronnet, for his work in cosmogony; the Delalande- Guérineau prize to Félix Ollivier, for his work on photogrammetry entitled La Topographie dans Topographes; the LaCaze prize to Henri Abraham, for his scientific work; the Hébert prize to Richard Langlois, for his work entitled Les Machines Asynchrones à Champs Tournants, à Bagues et à Collecteur, Théorie Générale et Applications; The Montyon prize in statistics to René Roy, for his work in the application of mathematics to statistics and economics; the Binoux prize for history and philosophy of the sciences jointly to Pierre Brunet, for his work entitled Les Physiciens Hollandais et la Méthode Expérimentale en France au XVIIle Siècle and his biography of Maupertuis, and to Niels Niel- sen, for his work entitled Géomètres Français sous la Révolution; the Jeanbernat-

158 NOTES^ [Mar.,

Doria prize to Henri Volkringer, for his work entitled Les Étapes de la Physique'. the Grand Prix for mathematical sciences to Georges Valiron, for his work in analytic functions; the LeConte prize to Elie Cartan, for his mathematical work, especially in infinite groups, differential geometry, and integral invari- ants; the Houllevigue prize to Georges Giraud, for his work in partial differen- tial equations; the Caméré prize to David Wolkowitsch, for his work entitled Applications de la Géométrie à la Stabilité des Constructions •; the Hirn Founda- tion prize to Maurice Kraïtchik, for his research and treatises on the theory of numbers.

The scientific prize of the Lasserre Foundation has been awarded to Pro- fessor Georges Giraud, of the University of Clermont.

The Ernst Abbe prize of the Carl Zeiss foundation has been awarded to Dr. Philip Furtwângler, professor of mathematics at the University of Vienna.

The Alfred Ackermann-Teubner memorial prize of 1930 has been awarded to Professor Johannes Tropfke, for his Geschichte der Elementar-Mathematik and his work on the share of Archimedes in the development of trigonometry.

The Council of the Royal Astronomical Society has awarded its gold medal to Professor W. de Sitter, for his theoretical investigations on the orbits of the satellites of Jupiter and his contributions to the theory of relativity.

The New York Academy of Sciences has awarded one of its A. Cressy Mor- rison prizes to Professor H. von Zeipel, of the Astronomical Observatory of Upsala, for his paper entitled The evolution and constitution of stars,

Emile Jouguet has been elected a member of the Paris Academy of Sciences in the section of mechanics, as successor to the late Hippolyte Sebert.

Professor Emile Picard has received an honorary doctorate from the Uni- versity of Liege.

Professor Max Planck has been made chancellor of the Prussian Order of Merit for Science and Art.

On the occasion of its seventy-fifth anniversary, the Zurich Technical School has conferred an honorary doctorate on Professor Ludwig Prandtl, of Göttingen.

Sir Ernest Rutherford, professor of experimental physics and director of the Cavendish Laboratory of the University of Cambridge, has been made a baron.

In the Faculty of Sciences of the University of Paris, the following maîtres de conférences have been promoted to professorships: Pauthenier (physics), Beghin and Foch (mechanics of fluids). Dr. E. Wieselberger, of the Kaiser-Wilhelm Institut für Strömungsfor- schung at Göttingen, has been appointed professor of applied mathematics at the Aachen Technical School.

Professor Wilhelm Blaschke, of the University of Hamburg, has recently delivered lectures, as visiting lecturer of the American Mathematical Society,

160 NOTES [Mar.,

C. A. Andrée, Wisconsin, June, major in electrical engineering physics, minor in mathematics, An impact strain recorder. J. V. Atanasoff, Wisconsin, June, major in mathematical physics, minor in mathematics, The dielectric constant of helium. R. F. Bâcher, Michigan, June, The Zeeman effect of hyperfine structure. E. B. Baker, Michigan, June, The application of the Fermi statistics to the calculation of the potential distribution of positive ions. C. F. Bowles, Chicago, August, Integral surfaces of pairs of differential equations of the third order. M. G. Boyce, Chicago, March, An envelope theorem and necessary conditions for a problem of Mayer with variable end-points.

Leonard Bristow, Illinois, May, minor in physics. Expansion theory asso- ciated with linear differential equations and their regular singular points. L. H. Bunyan, Wisconsin, June, A transformation of a certain integral equa- tion and a theorem concerning an integro-differential equation. J. H. Bushey, Michigan, June, Asymptotic expressions f or a certain class of definite integrals. Hung Chi Chang, Michigan, June, Transformation of linear partial dif- ferential equations.

Elizabeth M. Cooper, Illinois, June, minor in physics, Perspective elliptic curves. J. J. Corliss, Michigan, June, On the unsymmetric top. A. E. Currier, Harvard, June, The problem of the calculus of variations in m-space with end points variable on two manifolds. E. H. Cutler, Harvard, June, Some properties of general subspaces of a Riemann space. M. N. Davis, Wisconsin, June, major in physics, minor in mathematics, A study and partial explanation of the emission of secondary electrons from cobalt. E. H. Dixon, Wisconsin, June, major in physics, minor in mathematics, The photoelectric and thermionic properties of rhodium. L. H. Donnell, Michigan, June, Some examples of mechanical wave trans- mission. W. L. Duren, Jr., Chicago, August, The development of sufficient conditions in the calculus of variations. W. H. Durfee, Cornell, February, minor in physics, Summation factors which are powers of a complex variable. L. A. Dye, Cornell, June, minor in physics, Involutorial transformation in S$ of order n with an (n-l)-fold line. G. L. Edgett, Illinois, August, minor in astronomy, Frequency distributions with given statistics which are not all moments. C. M. Erikson, Michigan, June, Systems of linear difference equations with constant coefficients O. J. Farrell, Harvard, June, (1), On the expansion of harmonic functions in

I93I-1 NOTES^^161

terms of harmonic polynomials; (2), On approximation to an arbitrary function of a complex variable by polynomials. E. J. Finan, Ohio State, August, Determination of the domains of integrity of the complete rational matric algebra of order four. W. W. Flexner, Princeton, June, On topological manifolds. H. L. Garabedian, Princeton, June, On the relation between certain methods of summability. B. P. Gill, Columbia, July, An analogue for analytic f unctions of the Thue- Siegel theorem. Beatrice L. Hagen, Chicago, August, Quintuples of three dimensional varie* ties in a four-dimensional linear space. Frances Harshbarger, Illinois, May, minor in physics, The geometric con- figuration defined by a special algebraic relation of genus four. G. A. Hedlund, Harvard, June, (1), Geodesies on a two-dimensional Rie- mannian manifold with periodic coefficients; (2) Poincarê's rotation number and Morse's type number. V. A. Hoyle, Princeton, June, Some problems in conformai geometry. H. K. Hughes, Michigan, June, On the analytical extension of f unctions de- fined by factorial series. Aline Huke, Chicago, March, An historical and critical study of the funda- mental lemma in the calculus of variations. F. C. Jonah, Brown, October, The Green's matrix and expansion problem for systems of integro-differential equations. T. H. Kiang, Harvard, June, Existence of critical points of harmonic func- tions of three variables. Edna E. Kramer, Columbia, June, On the Laguerre group and allied topics. C. C. Krieger, Toronto, June, minor in the theory of relativity, (1), On the summability of trigonometrical series with localized properties; (2) On Fourier constants and convergence factors of double Fourier series. H. I. Lane, Cornell, September, The separation of the projective plane by the lines joining six points. Voris Latshaw, Indiana, June, minor in physics, The algebra of self-adjoint boundary value problems. D. H. Lehmer, Brown, June, An extended theory of Lucas' functions. C. N. Liu, Harvard, June, Contributions to the restricted problem of three bodies. Shu Ting Liu, Michigan, June, Theory of periodic orbits for asteroids of integral types. W. H. McEwen, Minnesota, July, minor in physics, Problems of closest ap- proximation connected with the solution of linear differential equations. E. J. McShane, Chicago, June, Semi-continuity in the calculus of variations, and absolute minima for isoperimetric problems. C. W. Mendel, Chicago, June, Contributions to the projective differential geometry of hyperspace.

I93I-] NOTES^^163

H. M. Yarbrough, Indiana, June, minor in astronomy, Linear cyclic groups with given fundamental region.

R. C. Yates, Johns Hopkins, June, The small vibrations of certain mechanical systems.

J. Yerushalmy, Johns Hopkins, June, The construction of equianharmonic cubics.

L. A. Young, Michigan, June, The Wentzler-Brioullin-Kramers approxi- mate solution of the Schrödinger wave equation.

Dr. Nola L. Anderson has been appointed associate professor and acting chairman of the department of mathematics at Sophie Newcomb College.

Professor G. B. Drummond, formerly at the Mississippi Agricultural and Mechanical College, has been appointed an assistant professor of mathematics at the Oklahoma Agricultural and Mechanical College.

Dr. Wolfgang Pauli, of the Zurich Technical School, and Dr. Arnold Som- merfeld, of the University of Munich, have been appointed lecturers in theoret- ical physics at the University of Michigan for the summer session of 1931.

Dr. N. B. MacLean, formerly professor of mathematics at the University of Winnipeg, has been appointed professor of Mathematics at McGill Univer- sity, as successor to Professor D. A. Murray, retired.

The following appointments to instructorships in mathematics are an- nounced : Iowa State College, J. C. Hempstead; University of Michigan, Dr. J. D. Elder.

Professor P. Gazzaniga, of the University of Padova, died October, 18, 1930, at the age of seventy-seven.

Dr. E. Stübler, professor of descriptive geometry, financial mathematics, and insurance mathematics at the Charlottenburg Technical School, died in December, 1930, at the age of fifty-eight.

Dr. Frantisek Wald, professor of physical chemistry at the Czech Tech- nical School at Prague, died October 19, 1931.

Professor R. A. Sheets, of Denison University, died December 3, 1930.

Professor H. E. Trefethen, a teacher of mathematics and astronomy in Colby College for nearly twenty years, died on November 3, 1930.

Professor J. Ricard, S. J., formerly professor of mathematics and director of the observatory at the University of Santa Clara, has died, at the age of eighty.