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View search results from all Wolfram sites (24007 matches)The word "order" is used in a number of different ways in mathematics. Most commonly, it refers to the number of elements in (e.g., conjugacy class order, graph order, group ...
The order of the polynomial defining an algebraic curve.
The number of nodes in a graph is called its order.
A relation < is a strict order on a set S if it is 1. Irreflexive: a<a does not hold for any a in S. 2. Asymmetric: if a<b, then b<a does not hold. 3. Transitive: a<b and b<c ...
The order of a finite field is the number of elements it contains.
A relation "<=" is a partial order on a set S if it has: 1. Reflexivity: a<=a for all a in S. 2. Antisymmetry: a<=b and b<=a implies a=b. 3. Transitivity: a<=b and b<=c ...
A function f(n) has the normal order F(n) if f(n) is approximately F(n) for almost all values of n. More precisely, if (1-epsilon)F(n)<f(n)<(1+epsilon)F(n) for every positive ...
An entire function f is said to be of finite order if there exist numbers a,r>0 such that |f(z)|<=exp(|z|^a) for all |z|>r. The infimum of all numbers a for which this ...
The highest order power in a univariate polynomial is known as its order (or, more properly, its polynomial degree). For example, the polynomial ...
A partially ordered set P is a circle order if it is isomorphic to a set of disks ordered by containment.
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