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• Sylvester’s eliminant — possibly the same as the Sylvester matrix of two polynomials?
• Sylvester resultant matrix
• Sylvester's law of nullity
• Sylvester's theorem on partitions
• Sylvester theorem on spherical harmonics proving the unicity of Maxwell’s multipole representation ^[1]
• Sylvester's formula for partitions of an integer.
• Sylvester's rule for converting partitions
• Sylvester's theorem on partitions II stating that the number of partitions of n into odd parts equals the number of partitions into distinct parts.
• Sylvester's theorem on partitions III The number of partitions of n into consecutive integers equals the number of odd factors of n
• Sylvester's graph or Sylvester-Ferrer graph of a partition.
• Sylvester's theory of waves

I give up... ^[2]

Guys, it would also be useful to have a list of mathematical things for which Sylvester coined the name. Start with "matrix". Jfgrcar ( talk) 12:34, 30 October 2014 (UTC) reply