1. A function changing the coordinates of a point in a euclidean space into new coordinates relative to axes parallel to the original.

2. A function on a group to itself given by operating on each element by some one fixed element.

3. Let E be a finitely generated extension of a field k, F be an extension of k, and both E and F be contained in a common field; the translation of E to F is the extension EF of F, where EF is the compositum of E and F. Also known as lifting.

The linear movement of a point in space without any rotation.

The process by which the linear sequence of nucleotides in a molecule of messenger ribonucleic acid directs the specific linear sequence of amino acids, as during protein synthesis.