Alexander polynomial
/alɪɡˌzɑːndə pɒlɪˈnəʊmɪəl/ /alɪɡˌzandə pɒlɪˈnəʊmɪəl/Mathematics
noun
A polynomial in one variable that can be constructed for any knot (based on the number and type of crossings present in a two-dimensional representation of the knot), and is the same for any two knots which are topologically equivalent.
- Although topologically equivalent knots necessarily have the same Alexander polynomial, knots having the same Alexander polynomial are not necessarily equivalent..
Origin
1930s; earliest use found in American Journal of Mathematics. From the name of James Waddell Alexander, U.S. mathematician, who suggested this method of characterizing knots in 1928 + polynomial.
- on book
- ONC
- on call
- on-carry
- once
- once again (or more)
- once and for all (or once for all)
- once and future
- once a ——, always a ——
- once bitten, twice shy
- once-born
- once-fired
- once-for-all
- once in a blue moon
- once in a lifetime
- onceness
- once-off
- once-only
- once (or every once) in a while
- once or twice
- once-over
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- on-chip