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a b c adjugate afol alternant axi-symmetric determinant Balfour Stewart Cambridge Chemistry circulant complementary minors compound corresponding element Crown 8vo d e f deleted denoted deter determinant equals difference-product ELEMENTARY TREATISE equations Example expansion factor Fcap ft ft g h k given determinant Hence i8mo identity inversions of order IW.I Jacobian Lecturer minant multiplication theorem notation nth order number of inversions number of terms numerous Illustrations obtained order is expressible original determinant Owens College P. G. Tait persymmetric Pfaffian PHYSICAL principal diagonal Professor Prove pth row quotient respect result right-hand member row and column SCIENCE SCIENTIFIC CATALOGUE second column Second Edition second row Show sign-factor Similarly suffixes symmetric function T. H. Huxley taking terms containing THEORY Trinity College vanish variables W. K. Clifford Wronskian zero-axial skew determinant
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