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A partial order defined by (i-1, i), (i+1, i) for odd i.

A map which is monotone increasing and therefore order-preserving.

The Reye graph is the transposition graph G_4 of order 4.

When the group order h of a finite group is a prime number, there is only one possible group of group order h. Furthermore, the group is cyclic.

If p^k is the highest power of a prime p dividing the order of a finite group G, then a subgroup of G of order p^k is called a Sylow p-subgroup of G.

A second-order ordinary differential equation of the form

The dimension of a special series can never exceed half its order.

A method for constructing magic squares of singly even order n>=6.

The second-order ordinary differential equation y^('')+f(x)y^'+y=0.

A method for constructing magic squares of odd order.