## Bulletin of the American Mathematical SocietySociety, 1918 - Mathematics |

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algebraic American Mathematical Society analytic applications Borel Bulletin calculus chapter Chicago coefficients College conjugate conjugate system contains continuous function convergent corresponding cubic curves Darboux defined denumerable derivative number determined differential equations E. H. Moore edition elementary elements elliptic exists finite number formula func function f(x G. A. Bliss geometry given Hence imprimitive infinite infinity interval invariant J. W. Young L. E. Dickson Lebesgue integral limit linear mathe matics meas measurable sets measure zero method Moore necessary and sufficient obtained orthogonal paper Paris plane point set primitive group problem Professor G. A. proof properties quadrics Read relation Riemann integral roots sequence set of points solution Stieltjes integral sufficient condition summable surfaces systems of imprimitivity tangent theorem theory three hours.—By Professor tion transformations University upper bound variables volume Wantzel

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Page 323 - Quite doubtful it is what fortune the future will carry with it or what chance will bring us or what end is at hand. Nor by prolonging life do we take one tittle from the time past in death nor can we fret anything away, whereby we may haply be a less long time in the condition of the dead. Therefore you may complete as many generations as you please during your life; none the less however will that everlasting death await you; and for no less long a time will he be no more in being, who beginning...

Page 322 - This is not the place to give a detailed account of the history of philosophy of the time.

Page 521 - The Notes and News cover a wide range of interest and information, both in this country and in foreign countries. The Problems and Solutions hold the attention and activity of a large number of persons who are lovers of mathematics for its own sake. There are other journals suited to the Secondary field, and there are still others of technical scientific...

Page 521 - America Is the Only Journal of Collegiate Grade in the Mathematical Field in This Country This means that its mathematical contributions can be read and understood by those who have not specialized in mathematics beyond the Calculus. The Historical Papers, which are numerous and of high grade, are based upon original research. The Questions and Discussions, which are timely and interesting, cover a wide variety of topics.

Page 160 - ... connection with specialized occupations in the army, so as to afford technical students of draft age fully as great an opportunity through the draft as if they enlisted now." THE annual meeting of the American Mathematical Society will be held in New York City on Thursday and Friday, December 27—28. The fortieth regular meeting of the Chicago Section will be held at the University of Chicago on Friday and Saturday, December 28— 29.

Page 326 - ... they are composed of what we should term atoms, and that there are as many kinds of atoms as there are elementary substances, that is five ; earth being made up of smelling atoms, water of cold atoms, etc. The atom is simple, for matter is not capable of infinite division, otherwise " there would be no difference of magnitude between a mustard seed and a mountain, a gnat and an elephant, each alike containing an infinity of particles.

Page 404 - ... nor directed by the eye, doth neatly declare how nature geometrizeth and observeth order in all things. A like correspondency in figure is found in the skins and outward teguments of animals, whereof a regardable part are beautiful by this texture. As the backs of several snakes and serpents, elegantly remarkable in the aspis, and the dart-snake, in the chiasmus and larger decussations upon the back...

Page 454 - ISAAC BARROW was the first inventor of the Infinitesimal Calculus; Newton got the main idea of it from Barrow by personal communication; and Leibniz also was in some measure indebted to Barrow's work...

Page 57 - President Thwing, of Western Reserve University, spoke a word of welcome, which was followed by a number of informal responses to the calls of the toastmaster, Professor EV Huntington. The program on Wednesday afternoon included an inspection of the harmonic analysis apparatus of Professor Miller, of the Case School, and an organ recital in the chapel. On Thursday afternoon President Thwing gave a garden party in honor of the visiting societies. Luncheon was served on each day at the Case Club, whose...

Page 325 - Therefore between the sum of things and the least of things what difference will there be ? There will be no distinction at all ; for how absolutely infinite soever the whole sum is, yet the things which are smallest will equally consist of infinite parts.