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If a is an element of a field F over the prime field P, then the set of all rational functions of a with coefficients in P is a field derived from P by adjunction of a.

A string or word is said to be admissible if that word appears in a given sequence. For example, in the sequence aabaabaabaabaab..., a, aa, baab are all admissible, but bb is ...

Any link can be represented by a closed braid.

A set (usually of letters) from which a subset is drawn. A sequence of letters is called a word, and a set of words is called a code.

The alternating factorial is defined as the sum of consecutive factorials with alternating signs, a(n)=sum_(k=1)^n(-1)^(n-k)k!. (1) They can be given in closed form as ...

An amphichiral knot is a knot that is capable of being continuously deformed into its own mirror image. More formally, a knot K is amphichiral (also called achiral or ...

An Andreini tessellation is a three-dimensional equivalent of a semiregular tessellation. There are 28 such tessellations.

The angle bisector of an angle in a triangle divides the opposite side in the same ratio as the sides adjacent to the angle.

A term in social choice theory meaning invariance of a result under permutation of voters.

An operator * for which a*b=-b*a is said to be anticommutative.