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A local minimum, also called a relative minimum, is a minimum within some neighborhood that need not be (but may be) a global minimum.

A topological space is locally connected at the point x if every neighborhood of x contains a connected open neighborhood. It is called locally connected if it is locally ...

A simplicial complex K is said to be locally finite if each vertex of K belongs only to finitely many simplices of K.

A family of subsets of a topological space such that every point has a neighborhood which intersects only a finite number of them.

A graph for which every node has finite degree.

A function is called locally integrable if, around every point in the domain, there is a neighborhood on which the function is integrable. The space of locally integrable ...

A space X is locally pathwise-connected if for every neighborhood around every point in X, there is a smaller, pathwise-connected neighborhood.

The ordinary differential equation y^'=-y(1+kappa(x)y)/(1-kappa(x)y).

For all integers n and |x|<a, lambda_n^((t))(x+a)=sum_(k=0)^infty|_n; k]lambda_(n-k)^((t))(a)x^k, where lambda_n^((t)) is the harmonic logarithm and |_n; k] is a Roman ...

A branch point whose neighborhood of values wrap around an infinite number of times as their complex arguments are varied. The point z=0 under the function lnz is therefore a ...