Sir Thomas Muir. The theory of determinants in the historical order of development. Macmillan, London, 1906. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Advanced Determinant Calculus - Krattenthaler (1999) (10 citations) (Correct)
....will fail. The determinant (1.3) does not look much more complicated than (1.2) Yet, it is. So, what should we do instead Of course, let us look in the literature Excellent idea. We may have the problem of not knowing where to start looking. Good starting points are certainly classics like [119], 120] 121] 127] and [178] This will lead to the first success, as (1.1) does indeed turn up there (see [119, vol. III, p. 311] Yes, you will also find evaluations for (1.2) see e.g. 126] and (1.3) see [112, Theorem 7] in the existing literature. But at the time of the writing you ....
T. Muir, The theory of determinants in the historical order of development, 4 vols., Macmillan, London,
Advanced Determinant Calculus - Krattenthaler (1999) (10 citations) (Correct)
....will fail. The determinant (1.3) does not look much more complicated than (1.2) Yet, it is. So, what should we do instead Of course, let us look in the literature Excellent idea. We may have the problem of not knowing where to start looking. Good starting points are certainly classics like [119], 120] 121] 127] and [178] 1 . This will lead to the first success, as (1.1) does indeed turn up there (see [119, vol. III, p. 311] Yes, you will also find evaluations for (1.2) see e.g. 126] and (1.3) see [112, Theorem 7] in the existing literature. But at the time of the writing ....
T. Muir, The theory of determinants in the historical order of development, 4 vols., Macmillan, London,
Factorizations in Schubert cells - Kassel, Lascoux, Reutenauer (Correct)
....consider is their triple nature: algebraic, combinatorial, topological. In our proofs we rely in turn on each of these aspects. Let us state our main results. Given a permutation w of the set 1, 2, n , recall from [Mcd] Chapter I that the diagram Dw , first introduced by Rothe in 1800 (cf. [Mu], pp. 59 60) is the subset of 1, n 1, n consisting of all couples (w(k) j) such that j kand w(j) w(k) or, equivalently, of all couples (i, j) such that i w(j) and j w 1 (i) 1.1) It is clear that the cardinality of Dw is equal to the number of inversions of w or, equivalently, to ....
T. Muir, The theory of determinants in the historical order of development, vol. 1 (second edition), Macmillan and Co., London, 1906.
Long-Range Properties of Spanning Trees - Kenyon (2 citations) (Correct)
....of S(v1 ; vk ; e1 ; ek ) and the number of spanning trees of U ffl is given by the absolute value of the determinant of the k Theta k matrix (dG(e i ; v j ) where dG is the coupling function on U ffl . 2.4. 3 A determinant The following well known determinant is due to Cauchy [6], and will be useful later. Proposition 2.6 (Cauchy) The determinant of the n Theta n matrix whose ij entry is 1 x i y j is Q 1i jn (x i Gamma x j ) y i Gamma y j ) Q 1i;jn (x i y j ) 3 Tripod distribution Let U ae C be a Jordan domain and y1 ; y2 ; y3 three points on its ....
T. Muir, The theory of determinants in the historical order of development, vol III. MacMillan, London, 1923.
Samsara - Crossley (2005) (Correct)
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Sir Thomas Muir. The theory of determinants in the historical order of development. Macmillan, London, 1906.
Structural and Computational Properties of Certain Permanents - Crespi (Correct)
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T. Muir. The Theory of Determinants in the Historical Order of Development. London Vol. I (1906), II (1911), III (1920), IV (1923).
The Number of Rhombus Tilings of a Symmetric Hexagon Which .. - Fulmek, Krattenthaler (2000) (15 citations) (Correct)
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T. Muir, The theory of determinants in the historical order of development, 4 vols., Macmillan, London, 1906.
Classical Varieties, Codes And Combinatorics - Ghorpade, Tsfasman (Correct)
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T. Muir, \The Theory of Determinants in the Historical Order of Development ", 4 Vols., Macmillan, London, 1906-1923.
Overlapping Pfaffians - Knuth (1 citation) (Correct)
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Thomas Muir, The Theory of Determinants in the Historical Order of Development, volume 2 (London: MacMillan, 1911).
Overlapping Pfaffians - Knuth (1 citation) (Correct)
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Thomas Muir, The Theory of Determinants in the Historical Order of Development (London: MacMillan, 1906).
Bijective proofs for Schur function identities which imply.. - Fulmek, Kleber (Correct)
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T. Muir, The theory of determinants in the historical order of development, 4 vols., Macmillan, London,
Bijective proofs for Schur function identities which imply.. - Fulmek (Correct)
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T. Muir, The theory of determinants in the historical order of development, 4 vols., Macmillan, London,
Overlapping Pfaffians - Knuth (1995) (1 citation) (Correct)
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Thomas Muir, The Theory of Determinants in the Historical Order of Development, volume 2 (London: MacMillan, 1911).
Overlapping Pfaffians - Knuth (1995) (1 citation) (Correct)
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Thomas Muir, The Theory of Determinants in the Historical Order of Development (London: MacMillan, 1906).
Overlapping Pfaffians - Knuth (1995) (1 citation) (Correct)
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Thomas Muir, The Theory of Determinants in the Historical Order of Development,volume2 (London: MacMillan, 1911).
Overlapping Pfaffians - Knuth (1995) (1 citation) (Correct)
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Thomas Muir, The Theory of Determinants in the Historical Order of Development (London: MacMillan, 1906).
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