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Lattice theory is the study of sets of objects known as lattices. It is an outgrowth of the study of Boolean algebras, and provides a framework for unifying the study of ...

Perhaps the most commonly-studied oriented point lattice is the so-called north-east lattice which orients each edge of L in the direction of increasing coordinate-value. ...

A lattice L is said to be oriented if there exists a rule which assigns a specified direction to any edge connecting arbitrary lattice points x_i,x_j in L. In that way, an ...

If two projective pencils of curves of orders n and n^' have no common curve, the locus of the intersections of corresponding curves of the two is a curve of order n+n^' ...

A closed trail is called a circuit when it is specified in cyclic order but no first vertex is explicitly identified.

A derivative of a complex function, which must satisfy the Cauchy-Riemann equations in order to be complex differentiable.

The second-order ordinary differential equation (x^2y^')^'+x^2y^n=0.

The third-order ordinary differential equation y^(''')+alphayy^('')+beta(1-y^('2))=0.

If F is a group, then the extensions G of F of order o with G/phi(G)=F, where phi(G) is the Frattini subgroup, are called Frattini extensions.

An element of order 2 in a group (i.e., an element A of a group such that A^2=I, where I is the identity element).