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The problem of determining the vertices of a Schwarz-Christoffel mapping (Krantz 1999, p. 176).

Any motion of a rigid body in space at every instant is a screw motion. This theorem was proved by Mozzi and Cauchy.

A morphism f:X->Y is said to be separable if K(X) is a separable extension of K(Y).

The distance a point moves due to shear divided by the perpendicular distance of a point from the invariant line.

The shoelace formula, also known as Gauss's area formula, the shoelace algorithm, shoelace method, or surveyor's formula, is a name sometimes given to the polygon area ...

A sigma-compact topological space is a topological space that is the union of countably many compact subsets.

A family composed of countably many locally finite families.

The Reidemeister move of type III.

A surface parameterized in variables u and v is called smooth if the tangent vectors in the u and v directions satisfy T_uxT_v!=0, where AxB is a cross product.

The socle of a group G is the subgroup generated by its minimal normal subgroups. For example, the symmetric group S_4 has two nontrivial normal subgroups: A_4 and ...