2010 Determinants 



Permanents and determinants, relation. Muir, 



T. [1897] Edinb. B. S. P. 22 (1900) 



134-. 

 Persymmetric determinants. Muir, T. [1881] 



Mess. Mth. 11 (1882) 65-. 

 Pfaffian having a vacant minor, development. 



Muir, T. [1900] Edinb. E. S. T. 40 (1905) 



49-. 

 Poisson's determinants. Albeggiani, M. L. 



Palermo Cir. Mt. Ed. 1 (1887) 6-. 

 generalised. Albefigiani, M. L. Palermo 



Cir. Mt. Ed. 1 (1887) 9-, 12-, 314-. 

 Potential determinants, mutual relations. 



Jonquieres, de. C. E. 120 (1895) 408-, 



580. 

 "Power" and "combination" determinants. 



Studnicka, F. J. Prag Sb. (1897) (Mth.-Nt.) 



No. 1, 20pp., No. 16, 16pp. 

 determinants. Stiidnicka, F. J. Casopis 



26 (1897) 105- ; Fschr. Mth. (1897) 142-. 

 [SMi 2 - )] StudnUka, F. J. Prag 



Sb. (1896) (Mth.-Nt.) No. 22, 8 pp. 

 Powers and determinants, relation. Giinther, 



S. Z. Mth. Ps. 24 (1879) 244-. 

 Product of 2 determinants, decomposed. 



Solution of theorem of Sylvester's. Faa 



de Bruno, F. [1851] Liouv. J. Mth. 17 



(1852) 190-. 

 Eeciprocal determinants. Gruzincev, A. P. T, 



Determinants 2010 



Simple alternants. Muir, T. [1887] Edinb. 



E. S. P. 14 (1888) 433-. 

 , class. Muir, T. [1888] Edinb. E. S. 



P. 15 (1889) 298-. 

 Skew determinant of infinite order, mean value 



of numerical coefficients. Sylvester, J. J. 



C. E. 89 (1879) 497-. 

 determinants. Cayley, A. Crelle J. 32 



(1846) 119- ; 38 (1849) 93-. 

 . Brioschi, F. Liouv. J. Mth. 19 (1854) 



253-. 

 . Hermite, C. Camb. and Dubl. Mth. 



J. 9 (1854) 63-. 

 . Cayley, A. Crelle J. 50 (1855) 277-; 



55 (1858) 277-. 



. Muir, T. Ph. Mg. 12 (1881) 391-. 



. Mertens, F. Wien Ak. Sb. 96 (1888) 



(Ab. 2) 1245-. 

 . Cazzaniga, T. Mil. I. Lomb. Ed. 30 



(1897) 1303-. 

 , Cayley's theory applied to displacement 



of rigid system about a fixed origin. Schl&fti, 



L. [1865] QJ. Mth. 8 (1867) 167-. 

 of higher dimensions. Gegenbauer, L. 



Wien Ak. D. 55 (1889) (Ab. 1) 39-. 

 , history. Muir, T. [1900] Edinb. E. S. 



P. 23 (1902) 181-. 



partly zero-axial, condensation. Muir, 

 L. Mth. - 



Kharkov Mth. S. Com. 3 (1893) 94-; Fschr. 



Mth. (1891) 147. 

 . Musso, G. G. Mt. 31 (1893) 201- ; 



32 (1894) 81-. 

 Eegular determinants and derived systems. 



Hensel, K. Crelle J. Mth. 114 (1895) 25-. 

 Eesolution of a determinant into quadratic 



factors. Muir, T. [1881] Mess. Mth. 11 



(1882) 105-. 

 determinants, general problem. Giinther, 



S. Arch. Mth. Ps. 59 (1876) 130-. 

 , new method. Teixeira, J. P. G. 



Teix. J. Sc. 11 (1892) 173-. 

 linear equations, method, and application 



to determinants. Clasen, (I'abbe) B. I. 



Brux. S. Sc. A. 12 (1888) (Pt. 2) 251-. 

 Screws, theory of, note on determinant in. 



Ball, (Sir) E. S. [1890] Ir. Ac. P. 1 (1889-91) 



375-. 

 Semi-determinants. Scheibner, W. Leip. B. 



11 (1859) 151-. 

 -symmetrical determinants of even order. 



Le Paige, C. M. M. H. H. Prag Sb. (1880) 



125-. 

 Sets of integers whose determinant is > or 



<1. Hermite, C. Liouv. J. Mth. 14 (1849) 



21-. 

 Sign of any term of a determinant. Zehfuss, 



G. (xi) Z. Mth. Ps. 3 (1858) 247-, 249-. 

 . Johnson, W. W. [1876] 



Mess. Mth. 7 (1878) 59. 

 . Tanner, H. W. L. 



[1879] Mess. Mth. 9 (1880) 51-. 

 . Perry, H. M. (xn) 



[1881] J. H. Un. Cir. [1] (1882) 151. 

 . Muir, T. [1899] 



Edinb. E. S. P. 22 (1900) 441-. 

 , short rule for. Jenkins, 



M. Mess. Mth. 25 (1896) 60-. 



i. S. P. 13 (1881-82) 161-. 



, property. Hill, M. J. M. L. Mth. S. 



P. 26 (1895) 341-. 



or symmetric determinant of infinite order, 

 mean value of coefficients in development of. 

 Sylvester, J. J. C. E. 89 (1879) 24-. 



symmetric determinants. Janni, G. G. 

 Mt. 1 (1863) 275-. 



, property. Deruyts, F. Liege S. Sc. 



Mm. 17 (1892) No. 2, 6 pp. 

 Stieltjes' theorem, twofold generalisation. 



Taber, H. L. Mth. S. P. 27 (1896) 



613-. 

 Sturm's functions, coefficients expressed as 



determinants. Heal, W. E. A. Mth. 2 



(1885-86) 85-. 

 , determination of a series from a single 



determinant. Vleck, E. B. van. [1399] 



A. Mth. 1 (1900) 1-. 

 Sums of determinants. Deruyts, J. Liege S. 



Sc. Mm. 10 (1883) (No. 4) 11 pp. 

 powers of natural numbers, representation 



by determinants. Siacci, F. A. Mt. 7 



(1865) 19-. 

 Sylvester's determinant. Hesse, L. O. Tor- 



tolini A. 2 (1359) 5-. 



, transformation to Cauchy's. Biehler, 

 C. N. A. Mth. 19 (1880) 110- . 



Symbol analogous to determinants. Ferber, 

 . Par. S. Mth. Bll. 27 (1399) 285-. 



of positive determinants, application. 

 Ferber, . Par. S. Mth. Bll. 28 (1900) 

 128-. 



Symbolic determinants. Rusjan, C. K. Fschr. 



Mth. (1899) 315. 

 Symmetric determinant connected with 



Lagrange's interpolation problem. Muir, 



T. L. Mth. S. P. 13 (1881-82) 156-. 

 , number of terms. Cayley, A. As. S. 



M. Not. 34 (1874) 303-, 335. 



135 



