J.J. Sylvester

LX. <i>Thoughts on inverse orthogonal matrices, simultaneous signsuccessions, and tessellated pavements in two or more colours, with applications to</i> Newton's <i>rule, ornamental tile-work, and the theory of numbers</i>

J.J. Sylvester · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · 1867 · 336 citations

Natural Sciences, Mathematics, Applied Mathematics +4

A Constructive Theory of Partitions, Arranged in Three Acts, an Interact and an Exodion

J.J. Sylvester, F. Franklin · American Journal of Mathematics · 1882 · 170 citations · Full text

Natural Sciences, Mathematics, Combinatorics +10

XVIII. On a theory of the syzygetic relations of two rational integral functions, comprising an application to the theory of Sturm’s functions, and that of the greatest algebraical common measure

J.J. Sylvester · Philosophical Transactions of the Royal Society of London · 1853 · 169 citations

Natural Sciences, Mathematics, Algebra +10

On Subvariants, i.e. Semi-Invariants to Binary Quantics of an Unlimited Order

J.J. Sylvester · American Journal of Mathematics · 1882 · 131 citations

Computing, Computer Science, Programming Languages +3

XIX. <i>A demonstration of the theorem that every homogeneous quadratic polynomial is reducible by real orthogonal substitutions to the form of a sum of positive and negative squares</i>

J.J. Sylvester · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · 1852 · 129 citations

Natural Sciences, Mathematics, Algebra +4