# Infinite-series

**noun**, Mathematics.

1.

a sequence of numbers in which an infinite number of terms are added successively in a given pattern; the sequence of partial sums of a given sequence.

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- In finite series
noun, Mathematics. 1. a sequence of numbers in which an infinite number of terms are added successively in a given pattern; the sequence of partial sums of a given sequence.

- Infinite set
mathematics A set with an infinite number of elements. There are several possible definitions, e.g. (i) (“Dedekind infinite”) A set X is infinite if there exists a bijection (one-to-one mapping) between X and some proper subset of X. (ii) A set X is infinite if there exists an injection from N (the set of natural […]

- Infinitesimal
[in-fin-i-tes-uh-muh l] /ˌɪn fɪn ɪˈtɛs ə məl/ adjective 1. indefinitely or exceedingly small; minute: infinitesimal vessels in the circulatory system. 2. immeasurably small; less than an assignable quantity: to an infinitesimal degree. 3. of, relating to, or involving infinitesimals. noun 4. an infinitesimal quantity. 5. Mathematics. a variable having zero as a limit. /ˌɪnfɪnɪˈtɛsɪməl/ adjective […]

- Infinitesimal-calculus
noun 1. the differential calculus and the integral calculus, considered together. noun 1. another name for calculus (sense 1)

- Infinitesimally
[in-fin-i-tes-uh-muh l] /ˌɪn fɪn ɪˈtɛs ə məl/ adjective 1. indefinitely or exceedingly small; minute: infinitesimal vessels in the circulatory system. 2. immeasurably small; less than an assignable quantity: to an infinitesimal degree. 3. of, relating to, or involving infinitesimals. noun 4. an infinitesimal quantity. 5. Mathematics. a variable having zero as a limit. /ˌɪnfɪnɪˈtɛsɪməl/ adjective […]