Mac Millan — Madelung. 



r89 



Orthogonal & other special Systems of inva- 

 riants, 23 S. (20, 08). — The Operator reci- 

 procants of Sylvester's theory of reciprocants, 

 28 S. — Problem of Derangement in the theory 

 of permutats., 15 S. (21, 12). — Reciprocal re- 

 lats. in the theory of integral equats. i), 7 S. 

 (19, 16/19). — The parity of the number which 

 enumerates the partits. of a numbers, 3 S. 

 (20, 20/21). — Prime lattice permutats., 4 S. — 

 The theory of modular partits., 8 S. — The al- 

 gebra of Symmetrie functs., 15 S. — The par- 

 tits. of infinity with some arithmetic & al- 

 gebraic consequences, 9 S. — The prime num- 

 bers of measurem. on a scale, 4 S. (21, 22/23). — 

 Cambridge, Phil. Soc. Tran§.: On Compound 

 denumerat., 14 S. — The superior & inferior 

 indices of permutat., 6 S. — The invariants 

 of the Halphenian homographic Substitut., to 

 which is appended some investigats. concer- 

 ning the transformat. of differential Operators 

 which present themselves in invariant theo- 

 ries, 32 S. — Congruences with respect to 

 composite moduli, 12 S. (22, 1922/23). 



London, Astron. Soc. Month. Not.: The de- 

 terminat. of the apparent diameter of a fixed 

 Star, 2 S. (69, 1908/09). 



London, Math. Soc. Proc: Applicat. of 

 quaterns. to the orthogonal transformat. & 

 invariant theory, 20 S. (1, 1904). — Deficient 

 multinomial expanss., 8 S. (2, 05). — The Dio- 

 phantine equat. x" — Ny = z 14 S. (5, 07). — 

 On a modif ied form of pure reciprocants posses- 

 sing the property that the algebraical sum of 

 the coefficients is zero, 4 S. (14, 15). — Two 

 applicats. of general theorems in combinatory 

 analysis, 8 S. (15, 16). — Small contribut. to 

 combinatory analysis, 3 S. (16, 18). — Com- 

 binats. derived from tn identical sets of n dif- 

 f erent letters & their connex. with general ma- 

 gic Squares, 17 S. (17, 18). — Divis, of numbers 

 & their continuats. in the theory of partits., 

 39 S. — The divisors of numbers, 36 S. 

 (19, 20). 



London, Roy. Soc. Phil. Trans.: Memoir on 

 the theory of the partits. of numbers, 84 S. 

 (20.-;, 207, 209 & 211, 1906—12). 



London, Roy. Soc. Proc: Contribut. to the 

 theory of attract. when the force varies as any 

 power of the distance^), 10 S. (95, 1919). — 

 The design of repeating pattems^), 14 S. (101, 

 22). 



.Messenger of Math.: Connex. betw. the 

 sum of the Squares of the divisors & the num- 

 ber of the partits. of a given number, 4 S. 

 (52. 1922). 



Quart. Journ. of pure a. appl. Math.: The 

 Diophantine Xx >Xx>ny, 13 S. (36, 1905). 



Mit ») H. Darling, ') W. Mac .Mahon. 



\Iae Millan, William Duncan; Prof., 

 Math., Univ., Chicago. 



Amer. Journ. of Math.: The mot. of a par- 

 ticle attracted towards a fixed center by a 

 force varying inversely as the fifth power of 

 the distance, 25 S. (30, 1908). — On Fou- 

 cault's pendulum, 12 S. (37, 15). — A theorem 

 connected with irrational numbers, 10 S. (38, 

 16). 



.\mer. Math. Soc. Bull.: A new proof of the 

 theorem of Weierstrass concerning the factori- 

 zat. of a power series, 5 S. (17, 1911). — On 

 Poincare's correct. to Bruns' theorem, 7 S. 



(19, 13). — Convergence of the series 27 27 

 — ^ (y irrational), 7 S. (22, 15/16). — The 



moment of inertia in the problem of n bodies, 



4 S. (28, 22). 



Amer. Math. Soc. Trans.: Periodic orbits 

 about an oblate spheroid, 66 S. (11, 1910). — 

 An existence theorem for periodic soluts., 

 13 S. (13, 12). — A reduct. of cert. analytic 

 differential equats. of differential equats. of 

 an algebraic type, 12 S. (17, 16). — On the re- 

 duct. of cert. differential equats. of the second 

 Order, 18 S. (19, 18). 



Ann. of Math. Harvard Coli.: A reduct. of 

 certain differential equats. of the first order, 



5 S. — The funct. W = L(r) defined as the in- 

 verse of the funct. r = W — log W, 4 S. (19, 

 1917/18). 



Chigaco. Astrophys. Journ.: On stellar evo- 

 lut., 15 S. (48, 1918). 



Mathemat. Ann.: Reduct. of a system of 

 power series to an equivalent sj'stem of polyno- 

 mials, 23 S. — Method for determining the so- 

 luts. of a System of analvtic functs. in the neigh- 

 borhood of a brauch po'int, 23 S. (72, 1912). 



Washington, Acad, Proc: Some theorems 

 connected with irrational numbers, 2 S. (1, 

 1915). 



McPherson, William, D. C. 1895 

 Columbus, Ph. D. 99 Chicago; stud. Co- 

 lumbus; 92 — 93 Assist., 95 Assist. 

 Prof., 95—97 Assoc. Prof., seit 97 Prof., 

 Chemie, Univ., Columbus; * 1864, 

 Juli 2, Xenia, 0. 



Exercises in chemistry systematically arr. to 

 accompany elementary study of chemistry^), 

 Boston 1907. — Laboratory manual, arranged 

 to accompany a Course in Chemistry^), 141 S., 

 Boston 15. — Elem. study of chemistry^), 

 2. Aufl., Boston 17. — A course in general che- 

 mistry i), 737 S., Boston 21. 



Amer. Chem. Journ.: Nature of the oxyazo 

 Compounds, 20 S. (22, 1899). — Constitut. of 

 the oxyazo Compounds*), 11 S. (25, Ol). 



Amer. Chem. Soc. Journ.: Act. of a-acy- 

 lated phenvlhvdrazines on the chlorine deriv. of 

 quinones^)-. 3-8. (22, 1900). — A contribut. to 

 the study of the constitut. of the hydroxyazo 

 Compounds. The act. of unsymmetrical benzoyl- 

 paratolvlhvdrazine upon benzoquinone & its 

 homologs*), 10 S. (37. 15). 



Berichte d. Deut. Chem. Oes. : Natur der 

 Oxyazokörper, 5 S. (28, 1895). 



Mit •) W. Henderson, ') H. Gore, ') R. Fischer. 

 ») G. Stratton. 



Madelung, Erwin, Dr. phil. 1905 

 Göttingen, Sohn des Prof. d. Chirurgie 0. 

 Madelung & Bruder d. Folgenden; stud. 

 Ol Kiel, 01—02 Zürich, 02—03 Straß- 

 burg. 03—05 Göttingen; 19—20 o. Prof., 

 theor. Ph., Univ., Kiel, 20—21 Münster, 

 seit 21 o. Prof., Univ., Frankfurt; 

 * 1881, Mai 18, Bonn (Rhein). (Eig. 

 Mitt.) 



D. math. Hilfsmittel d. Physikers, 250 S., Ber- 

 lin 1922. 



Ann. d. Physik: Magnetisierg. durch schnell- 

 verlauf ende Ströme & d. Wirkgsweise d. Ruther- 

 ford-Marconischen Magnetdetcktors, 30 S. 

 (17. 1905) (Diss.). — Kompressibilitätsmeaagn. 

 an festen Körpern (m. R. Fuchs), 21 S. (65, 

 1921). 



Oöttingen, Oes. d. Wlss. Nachr.: Molektilare 

 Eigenschwinggn., 7 & 16 S. (1909 & 10) (auch 

 in Physik. Zeitschr., 8 S., 11, 10). 



