# Infinitely+small

1

**Infinitely**— In fi*nite*ly, adv. 1. Without bounds or limits; beyond or below assignable limits; as, an infinitely large or infinitely small quantity. [1913 Webster] 2. Very; exceedingly; vastly; highly; extremely. Infinitely pleased. Dryden. [1913 Webster] …2

**infinitely**— infinite, infinitely are derived from the Latin word infinitus meaning ‘without limit’ (Latin finis ‘end’), and this is the proper meaning of these words in English. In practice, however, they tend to be used in the weaker senses ‘very great’ and …3

**Small set (combinatorics)**— In combinatorial mathematics, a small set of positive integers:S = {s 0,s 1,s 2,s 3,dots}is one such that the infinite sum:frac{1}{s 0}+frac{1}{s 1}+frac{1}{s 2}+frac{1}{s 3}+cdots converges. A large set is any other set of positive integers (i.e …4

**analysis**— /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …5

**Optical aberration**— v · d · e Optical aberration …6

**Le Sage's theory of gravitation**— is the most common name for the kinetic theory of gravity originally proposed by Nicolas Fatio de Duillier in 1690 and later by Georges Louis Le Sage in 1748. The theory proposed a mechanical explanation for Newton s gravitational force in terms… …7

**mathematics**— /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …8

**Hyperreal number**— *R redirects here. For R*, see Rockstar Games. The system of hyperreal numbers represents a rigorous method of treating the infinite and infinitesimal quantities. The hyperreals, or nonstandard reals, *R, are an extension of the real numbers R… …9

**Differential of a function**— For other uses of differential in mathematics, see differential (mathematics). In calculus, the differential represents the principal part of the change in a function y = ƒ(x) with respect to changes in the independent variable. The… …10

**Calculus**— This article is about the branch of mathematics. For other uses, see Calculus (disambiguation). Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables …