258 



SCIENCE 



[N. S. Vol. XXXVII. No. 946 



H. H. Mitchell: "Determination of the finite 

 quaternary linear groups. ' ' 



L. S. Dederick: "On the character of a trans- 

 formation in the neighborhood of a point where its 

 Jacobian vanishes. ' ' 



The January number (Vol. 19, No. 4) of 

 the Bulletin of the American Mathematical 

 Society contains : Report of the October meet- 

 ing of the society, by F. N. Cole; Report of 

 the October meeting of the San Francisco 

 Section, by T. M. Putnam; Report of the 

 Cambridge meeting of the International Con- 

 gress of Mathematicians, Sections II.-IV., by 

 Virgil Snyder; Report of the Miinster meet- 

 ing of the German Mathematical Society, by 

 Virgil Snyder ; " Shorter Notices " : Hulburt's 

 Differential and Integral Calculus, by D. D. 

 Leib; Voigt's Theorie der Zahlreihen und der 

 Reihengleichungen, by R. D. Carmichael; 

 " Notes " ; and " New Publications." 



The February number of the Bulletin con- 

 tains: Report of the sixth regular meeting of 

 the Southwestern Section, by J. N. Van der 

 Vries ; " Some special boundary problems in 

 the theory of harmonic functions," by T. H. 

 Gronwall ; " Note on Fermat's last theorem," 

 by R. D. Carmichael ; " Integral equations " : 

 review of Lalesco's Introduction a la Theorie 

 des Equations integrales and Heywood and 

 Frechet's L'Equation de Fredholm et ses Ap- 

 plications a la Physique mathematique, by 

 W. R. Longley ; " An advance in theoretical 

 mechanics " : review of E. and F. Cosserat's 

 Theorie des Corps deformables, by E. B. Wil- 

 son ; " Shorter Notices " : Fagnano's Opere 

 matematiche, Heath's Method of Archimedes 

 recently discovered by Heiberg, and Hofler's 

 Didaktik des mathematischen Unterrichts, by 

 D. E. Smith; Poincare's Wert der Wissen- 

 schaft, by J. B. Shaw; V. and K. Kommerell's 

 Spezielle Flachen und Theorie der Strahlen- 

 systeme, by E. B. Cowley; Horn's Einfiihrung 

 in die Theorie der partiellen Differential- 

 gleichungen, by A. R. Crathorne; Forsyth's 

 Lehrbuch der Differentialgleichungen and 

 Poincare's Calcul des Probabilites, by R. D. 

 Carmichael; Lamb's Dynamical Theory of 

 Sound, by E. B. Wilson ; " Notes " ; and " New 

 Publications." 



THE DIAGRAMS IN PEOFESSOB TEOSN- 

 DIKE'S ADDRESS ON EDUCATIONAL 



DIAGNOSIS 

 Through a misunderstanding the lettering 

 was not given for the diagrams in Professor 

 Thorndike's vice-presidential address before 

 the American Association for the Advance- 

 ment of Science, printed in Science for Jan- 

 uary 24. They are here reproduced with the 

 inscriptions. 



T 



Fig. 4. The median expectation of length of 

 stay in the New York City high schools, in the 

 case of pupils who reported, at entrance to high 

 schools, as shown at the left of the diagram, choice 

 of occupation and intended length of stay. 



Second Year 



Fourth Year 



Graduated or left in achool 



Fig. 5(a). The number of pupils, reporting 

 themselves at entrance as expecting to complete 

 the course, who leave in each successive year. 



