Analogous in the context of Premise

Literal translation, direct translation, or word-for-word translation, or word-by-word translation, or word-to-word translation is the translation of a text done by translating each word separately without analysing how the words are used together in a phrase or sentence.

In translation theory, another term for literal translation is metaphrase (as opposed to paraphrase for an analogous translation). It is to be distinguished from an interpretation (done, for example, by an interpreter).

In classical mechanics, the gravitational potential is a scalar potential associating with each point in space the work (energy transferred) per unit mass that would be needed to move an object to that point from a fixed reference point in the conservative gravitational field. It is analogous to the electric potential with mass playing the role of charge. The reference point, where the potential is zero, is by convention infinitely far away from any mass, resulting in a negative potential at any finite distance. Their similarity is correlated with both associated fields having conservative forces.

Mathematically, the gravitational potential is also known as the Newtonian potential and is fundamental in the study of potential theory. It may also be used for solving the electrostatic and magnetostatic fields generated by uniformly charged or polarized ellipsoidal bodies.

In mathematics, a function between topological spaces is called proper if inverse images of compact subsets are compact. In algebraic geometry, the analogous concept is called a proper morphism.