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- W1980337662 abstract "Find the next term in the sequence 1, 1, 12, 620, 87304. This particular problem belongs to a branch of mathematics called enumerative geometry. This is concerned with curve-counting - counting the number of curves that can be drawn on a particular geometric object. The sequence above is easy to describe: each term represents the number of curves, with increasing complexity, one can draw though a certain number of points on a plane. Despite its simplicity, the problem remained unsolved for most of the twentieth century. The solution - a formula with which one may calculate any term in the series - was discovered only in the century's closing decade. This article will describe the above problem, and some of the unexpected mathematics and physics that was used in finding its solution [corrected]" @default.
- W1980337662 created "2016-06-24" @default.
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- W1980337662 date "2003-11-04" @default.
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- W1980337662 title "How to count curves: from nineteenth-century problems to twenty-first-century solutions" @default.
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- W1980337662 doi "https://doi.org/10.1098/rsta.2003.1261" @default.
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- W1980337662 hasPublicationYear "2003" @default.
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