Muir 



Muir. 



887 



* 1844 (nicht 45), Aug. 25, bei Lanark, 

 Schottland. (Eig. Mitt.) 



The express. of a quadratic surd as a continued 

 fract., 32 S., Glasgow 1874. — A treatise on 

 the theory of determinants, 6 + 240 S., Lon- 

 don 82. — Theory of determinants in the histo- 

 rical Order of development, Bd. 1, 12 + 491 S., 

 1906. — Bd. 2, 16 + 475 S., 11, Bd. 3, 24 + 

 475 S., 20, Bd. 4, 22, London & New York. 



Amer. Math. Monthly: Lagrange's like- 

 producing quEidrinomial, 3 S. (35, 1918). — 

 A budget of exercises in determ., 6 S. (29, 21). 



Edinburgh, Math. Soc. Proc: Applicability 

 of the law of extensible minors to determ. of 

 special form, 6 S. (30, 1903). — Condensat. 

 of continuants, 5 S. (33, 04). — Waring's ex- 

 press. for a symm. fiinct., 5 S. (37, 10). 



Edinburgh, Roy. J,tc. Fror.: Continuant 

 resolvable into rational factors, 8 S. — Note on 

 selected combinat., 3 S. (34, 1903). — Theory 

 of Jacobians in the histor. order of its developm. 

 up to 1841 & 60, 45 & 18 S. (34 & 39, 03 & 09). 



— Theory of orthogonants up to 1832 & 60, 45 

 & 26 S. (34 & 30, 03 & 10). — Pure periodic 

 continued fracts., 7 S. — Generating functs. 

 of certain special determ., 6 S. (34, 03). — Spe- 

 cial circulant considered by Catalan, 8 S. — 

 Theory of axisymmetric determ. up to 1841, 

 60 & 80, 17, 32 & 15 S. (34, 37 & 33, 03, 06 



6 13). — Theory of general determinants 

 up to 1846, 52 & 60, 31, 40 & 27 S. (35 & 38, 

 05 & 08). — Theory of continuants up to 

 1870, 31 & 32 S. — Theorem regarding the 

 orthogonal transformat. of a quadric, 5 S. 



— 3-line determ. of a 6-by-3 array, 8 S. 



— Sum of the signed primary minors of 

 a determ., 1 1 S. — Continuants whose main dia- 

 gonal is univarial, 6 S. (35, 05). — Library aids 

 to mathem. research, 14 S. (36, 06). — Theory 

 of alternants up to 1860, 96—1917, 33 & 22 S. 

 (36 & 43, 06 & 23). — Theory of circulants 

 up to 1860, 61—80, 80—1900, 9, 14 & 23 S. 

 (36, 33 & 36, 06, 12 & 16). — Hessians of 

 certain invar. of binary quantics, 4 S. — Sum 

 of the r-line minors of the square of a determ., 



7 S. (36, 06). — The minors of a prod. determ., 

 9 S. — The norm which is divisible by an axi- 

 symmetric determ., 7 S. *). — Theory of Com- 

 pound determinants up to 1860, 13 S. — Pro- 

 duct of the primary minors of an n-by-(n+ 1) 

 array, 7 S. — Theory of skew determ. up to 

 1865, 8 S. — Theory of Hessians up to 1860, 

 20 S. (38, 08). — Superadjugate determ. & 

 skew determ. having a univarial diagonal, 19 S. 

 (39, 09). — Theory of bigradients up to 1860, 

 59—80, 11 & 28 S."(30 & 34, 10 & 14). —Theo- 

 ry of persvmmetric determ. up to 1860, 25 S. — 

 Theory of Wronskians up to 1860, 8 S. (30, 

 10). — Theory of recurrent determ. up to 1860, 

 7 S. — Less common special forms of determ. 

 up to 1860, 22 S. — Boole's unisignant, 8 S. 

 (31, 11). — Properties of the determinant of 

 an orthogonal Substitut., 9 S. (35, 15). — Con- 

 struct. of an orthogonant, 8 S. (38, 17/18)**). 



— Quadratic relats. betw. the determ. of a 

 4-by-8 array, 7 S. (38, 18)**). — Determ. of 

 the primary minors of a special set of (n — 1 )- 

 by-7i arrays, 6 S. (39, 19). — The determinant 

 whose matrix is the sum of two circulant ma- 

 trices, 10 S. — Pfaffians w. polynomial ele- 

 ments, 6 S. (40, 20). — A continuant of Cay- 

 ley's of the year 1874, 6 S. (41, 21). — A theo- 

 rem of Frobenius' connected w. invariant- 

 factors, 6 S. (43, 22). 



Edinburgh, Roy. Soc. Trans.: Eliminant of 

 a set of general temary quadrics, 16 S. — Deve- 



lopm. of a Pfaffian having a vacant minor, 



10 S. — Some identities connected w. alter- 

 nants, & w. elliptic functs., 15 S. — Hessian 

 of a general determinant, 5 S. — Differentiat. 

 of a continuant, 12 S. — Vanishing aggregates 

 of secondary minors of a persymmetric determ., 

 24 S. — Generating funct. of the reciprocal of 

 a determ., 16 S. (40, 1901— 02). —Continuants 

 resolvable into linear factors, 16 S. — Elimi- 

 nant of a set of general temary quadrics, 12 S. 

 (41, 04). — Eliminat. in the case of equality 

 of fracts. whose numerators & denominators 

 are linear functs. of the variables, 8 S. — A 

 Pfaffian identity & related vanishing aggre- 

 gates of determinant minors, 12 S. (45, 06). 



Messenger of Math.: Klronecker's linear re- 

 lat. in determ., 3 S. (33, 1902). — A special 

 continuant evaluated by Cayley, 6 S. (34, 04) . 



— Equality of two Compound determ. of Orders 

 n & 71 — 1, 4 S. (35, 05). — The persjmam. de- 

 term. whose Clements are in harmonical pro- 

 gress., 5 S. — Jacobian of the primary minors 

 of a circulant, 5 S. (36, 06). — Brioschi's 2m. 

 line determ. w. Clements subject to m (2 m — 1 ) 

 condits., 5 S. (37, 07). — A theorem of Cayley's 

 regarding Sturm's funct., 7 S. (38, 07). — Theo- 

 rems connected w. the differentiat. of a cir- 

 culant, 5 S. (39, 09). — A class of determ. 

 whose adjugate is persymm., 11 S. — A new 

 unisignant, 6 S. (40, 10). — Cayley's linear re- 

 lat. betw. minors of a special three-row array, 



5 S. — Lagrange's determ. equat. in the case 

 of a circulant, 7 S. (41, 11). — Product-determ. 

 of the same form as one of their factors, 8 S. — 

 Sum of equigrade minors of a determ., 7 S. — 

 Determ. of the sum of a square matrix & its 

 conjugate, 9 S. (43, 14). — Properties of a 

 pair of orthogonants, 7 S. (44, 14). — Determ. 

 whose Clements are altemating numbers, 7 S. 



— Primary minors of a circulant having a 

 vanishing sum of elements, 6 S. — Determ. 

 of cyclically repeated arrays, 12 S. (45, 15). — 

 Determ. whose elements are aleph functs., 

 3 S. (46, 16). — Theorems connected w. mi- 

 nors of an m-by-m'^ array, 6 S. (47, 18). — 

 Representat. of the expans. of a bordered de- 

 term., 10 S. (48, 18). — Eliminant of two 

 binary quantics w. determ. coefficients, 5 S. — 

 The m'" Compound of a determ. of the (2 m)"' 

 Order, 3 S. (48, 19). 



Phil. Mag.: Aggregates of minors of an 

 axisymm. determ., 6 S. (3, 1902). — Jaco- 

 bian of the primary minors of an axisymm. 

 determ., 6 S. (4, 02). 



Quart. Journ. of pure a. appl. Math.: Writ- 

 ings on determ., 97, 27, 36, 41 & 23 S. (36, 

 38, 43, 47 & 49, 1904, 06, 11, 16 & 20). — 

 Compound determ. expressed as simple de- 

 term., 6 S. (48, 19). 



South Afrlc. Ass. .\dv. Sei.: A 3. listof writ- 

 ings on determ., 75 S. — Theorems regarding 

 aggregates of determ. & Pfaffians, 7 S. — A 

 general theorem giving express. for certain po- 

 wers of determ., 4 S. — Educat. & science, 



6 S. (1, 1903). — President's address, 13 S.-(7, 

 10). — A class of alternants w. trigonometr. 

 elements, 4 S. (13, 16). 



South African Phil. Soc. Trans.: Factori- 

 zable continuants, 6 S. — Developm. of a Pfaf- 

 fian, 8 S. — Further note on factor. continuants, 

 12 S. (15, 1904). — Notes on semioirculants, 



11 S. — A set of lineare quat. connected w. 

 homofocal surfaces, 3 S. — Express, of cert. 

 symm. functs. as an aggregate of fracts., 4 S. 



— Property of axisymm. determ. connected 

 w. the simultan vanishing of the surf. & vo- 

 lume of a tetrahedron, 14 S. (16, 06). — Spe- 



