0430 Aggregates 



Square root of polynomial, approximate frac- 

 tions. Alekseev, N. St Pet. Ac. Sc. Mm. 

 (Rs.) 37 (*1881) 107-. 



2 and of 3, approximations. Henry, C. 



Bll. Sc. Mth. As. 3 (1879) 515-. 



roots, approximate expressions for. Hauber, 

 C. F. Lindenau Z. 4 (1817) 95-. 



of numbers. Weill, . Par. S. Mth. 



Bll. 14 (1886) 128-. 

 Surd, formula for fraction approximate in 



value. Whitworth, W. A. [1874] Mess. 



Mth. 4 (1875) 79-. 

 Surds and irrationals, classification. Baker, 



A. L. Rochester (N.Y.) Ac. Sc. P. 2 (1895) 



202-. 



, expansion. Adams, Jas. Thomson 



v-w 



A. Ph. 16 (1820) 418-. 



0430 Aggregates. 



Absolute convergence of improper integrals, 

 explanation. Stolz, O. Wien Ak. Sb. 107 

 (1898) (Ab. 2o) 207- ; 108 (1899) (Ab. 2a) 

 1234-. 



Aggregate question in billiards. Vivanti, G. 

 Ev. Mt. 5 (1895) 87-. 



Aggregates of aggregates. Burali-Forti, C. 

 Mth. A. 47 (1896) 20-. 



, extension of enumerable. Garibaldi, C. 

 Palermo Cir. Mt. Ed. 8 (1894) 157-. 



formed by special values of a function. 

 Schmifliess, A . Konigsb. Schr. 41 (1900) [11]-. 



, foundations of general theory. Cantor, G. 



Acta Mth. 2 (1883) 381-. 

 , functional. Arzela, C. Bologna Ac. Sc. 



Mm. 5 (1895-96) 225- ; 8 (1899-1900) 131-. 



and incommensurable numbers. Amigues, 

 E. Mars. Fac. Sc. A. 2 (1892) 33-. 



of points, and their signification for analysis. 

 Lerch, M. Casopis 15 (1886) 211- ; Fschr. 

 Mth. (1886) 194-. 



, single valued (eindeutig) and continuous 

 formation. Jtirgens, E. D. Nf. Tbl. (*1878) 



, theory. Cantor, G. [1877] Crelle J. Mth. 



84 (1878) 242-. 



, . Netto,E. Crelle J. Mth. 86 (1879) 263-. 

 , . Baire, R. C. E. 129 (1899) 946-. 

 , , auxiliary theorem. Bendixscm, I. 



Stockh. Ak. Hndl. Bh. 9 (1884-85) No. 7, 



7 pp. 

 , , basis. Gruithuisen, F. von P. 



Gruithuisen N. Analekt. 1 (1834) (Heft 3) 



1- ; (Heft 4) 1- ; (Heft 6) 45-. 

 , , elementary point in. Cantor, G. D. 



Mth. Vr. Jbr. 1 (1892) 75-. 

 , , history and bibliography. Vivanti, G. 



Bb. Mth. (1892) 9-. 

 , , note. Tannery, P. Par. S. Mth. Bll. 



12 (1884) 90-. 

 , , . Garibaldi, C. Palermo Cir. Mt. 



Ed. 9 (1895) 198- . 

 Algebra, foundations. Ascoli, G, Mil. I. 



Lomb. Ed. 28 (1895) 1060-. 

 Analytic functions. Vivanti, G. Palermo Cir. 



Mt. Ed. 3 (1889) 38-. 



VOL. I. 



Aggregates 0430 



Analytic functions, a property of. Poincare, H, 

 Palermo Cir. Mt. Ed. 2 (1888) 197-. 



representation of real functions, given over 

 any aggregate of points. Phragmen, E. 

 Palermo Cir. Mt. Ed. 14 (1900) 256-. 



Asymptotic arithmetic, contribution to funda- 

 mental principles of. Cesaro, E. Nap. Ac. 

 At. 6 (1894) No. 11, 23 pp. 



Behaviour of certain functions at infinite 

 values of variables. Vivanti, G. Palermo 

 Cir. Mt. Ed. 2 (1888) 135-, 150-. 



Boundaries of continua. Phragmen, E. Acta 

 Mth. 7 (1885) 43-. 



Cantor, a theorem of. Burali-Forti, C. Tor. 

 Ac. Sc. At. 32 (1896) 153- or 229-. 



Cantor's theorems. Schroder, E. D. Mth. 

 Vr. Jbr. 5 (1901) (Heft 1) 81-. 



Commensurable quantities, distribution. 

 Cesaro, E. A. Mt. 13 (1885) 295-. 



Condensation of singularities, Hankel and 

 Dini's principle. Krtpke, . Hamb. Mth. 

 Gs. Mt. 1 (1889) 230-. 



Construction of tangents to circles and limit- 

 circles ; proof that Lobatschef sky's space 

 contains a doubly infinite manifoldness of 

 spheres of infinite radius. Simon, M. D. 

 Mth. Vr. Jbr. 3 (1894) 80-. 



Continuity of functions. Pincherle, S. Bologna 

 Ed. 4 (1900) 99-. 



inconsistent with one to one correspondence 

 between different spaces. Milesi, L. Ev. 

 Mt. 2 (1892) 103-. 



Continuous aggregate, ?i-fold, conception. 

 Jiirgens, E. D. Mth. Vr. Jbr. 7 (Heft 1) 



(1899) 50-. 



aggregates, theorem. Cantor, G. Gott. Nr. 

 (1879) 127-. 



and connected aggregates. Maccaferri, E. 

 Ev. Mt. 4 (1894) 97-. 



function with discontinuous differential 

 coefficient. Lerch, M. G. Teix. J. Sc. 9 

 (1889) 97-. 



Convergence conditions. Fouret, G. N. A. 



Mth. 9 (1890) 222-. 

 . Giudice, . Palermo Cir. Mt. Ed. 4 



(1890} 284-. 

 "Crinkly" curves (i.e. filling a surface). 



Moore, E. H. N. Y. Am. Mth. S. T. 1 



(1900) 72-, 507. 



Definition of magnitudes 0, 1, 2, 3. Schroder, 



E. Ac. Nt. C. N. Acta 71 (1898) 363-. 

 real number. Burali-Forti, C. [1900] 



N. Y. Am. Mth. S. Bll. 7 (1901) 158, 



170-. 

 Differentiable function oscillating in every 



interval. Kopcke, A. Hamb. Mth. Gs. Mt. 



2 (1890) (Festschr. Tl. 2) 128-. 

 Discontinuities of functions of real variable. 



Bettazzi, E. Palermo Cir. Mt. Ed. 6 (1892) 



173-. 

 Finite classes. Burali-Forti, C. Tor. Ac. Sc. 



At. 32 (1896) 34-. 



and infinite assemblage. Keyser, C. J. 

 [1900] N. Y. Am. Mth. S. Bll. 7 (1901) 

 218-. 



Finiteness, two definitions of, and Cantor's 

 theorems. Schroder, E. Ac. Nt. C. N. Acta 

 71 (1898) 301-. 



49 



