Indeterminate analysis

Indeterminate analysis
Indeterminate In`de*ter"mi*nate, a. [L. indeterminatus.] Not determinate; not certain or fixed; indefinite; not precise; as, an indeterminate number of years. --Paley. [1913 Webster]

{Indeterminate analysis} (Math.), that branch of analysis which has for its object the solution of indeterminate problems.

{Indeterminate coefficients} (Math.), coefficients arbitrarily assumed for convenience of calculation, or to facilitate some artifice of analysis. Their values are subsequently determined.

{Indeterminate equation} (Math.), an equation in which the unknown quantities admit of an infinite number of values, or sets of values. A group of equations is indeterminate when it contains more unknown quantities than there are equations.

{Indeterminate inflorescence} (Bot.), a mode of inflorescence in which the flowers all arise from axillary buds, the terminal bud going on to grow and sometimes continuing the stem indefinitely; -- called also {acropetal inflorescence}, {botryose inflorescence}, {centripetal inflorescence}, and {indefinite inflorescence}. --Gray.

{Indeterminate problem} (Math.), a problem which admits of an infinite number of solutions, or one in which there are fewer imposed conditions than there are unknown or required results.

{Indeterminate quantity} (Math.), a quantity which has no fixed value, but which may be varied in accordance with any proposed condition.

{Indeterminate series} (Math.), a series whose terms proceed by the powers of an indeterminate quantity, sometimes also with indeterminate exponents, or indeterminate coefficients. -- {In`de*ter"mi*nate*ly} adv. -- {In`de*ter"mi*nate*ness}, n. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • Indeterminate — In de*ter mi*nate, a. [L. indeterminatus.] Not determinate; not certain or fixed; indefinite; not precise; as, an indeterminate number of years. Paley. [1913 Webster] {Indeterminate analysis} (Math.), that branch of analysis which has for its… …   The Collaborative International Dictionary of English

  • Indeterminate coefficients — Indeterminate In de*ter mi*nate, a. [L. indeterminatus.] Not determinate; not certain or fixed; indefinite; not precise; as, an indeterminate number of years. Paley. [1913 Webster] {Indeterminate analysis} (Math.), that branch of analysis which… …   The Collaborative International Dictionary of English

  • Indeterminate equation — Indeterminate In de*ter mi*nate, a. [L. indeterminatus.] Not determinate; not certain or fixed; indefinite; not precise; as, an indeterminate number of years. Paley. [1913 Webster] {Indeterminate analysis} (Math.), that branch of analysis which… …   The Collaborative International Dictionary of English

  • Indeterminate inflorescence — Indeterminate In de*ter mi*nate, a. [L. indeterminatus.] Not determinate; not certain or fixed; indefinite; not precise; as, an indeterminate number of years. Paley. [1913 Webster] {Indeterminate analysis} (Math.), that branch of analysis which… …   The Collaborative International Dictionary of English

  • Indeterminate problem — Indeterminate In de*ter mi*nate, a. [L. indeterminatus.] Not determinate; not certain or fixed; indefinite; not precise; as, an indeterminate number of years. Paley. [1913 Webster] {Indeterminate analysis} (Math.), that branch of analysis which… …   The Collaborative International Dictionary of English

  • Indeterminate quantity — Indeterminate In de*ter mi*nate, a. [L. indeterminatus.] Not determinate; not certain or fixed; indefinite; not precise; as, an indeterminate number of years. Paley. [1913 Webster] {Indeterminate analysis} (Math.), that branch of analysis which… …   The Collaborative International Dictionary of English

  • Indeterminate series — Indeterminate In de*ter mi*nate, a. [L. indeterminatus.] Not determinate; not certain or fixed; indefinite; not precise; as, an indeterminate number of years. Paley. [1913 Webster] {Indeterminate analysis} (Math.), that branch of analysis which… …   The Collaborative International Dictionary of English

  • Indeterminate form — In calculus and other branches of mathematical analysis, an indeterminate form is an algebraic expression obtained in the context of limits. Limits involving algebraic operations are often performed by replacing subexpressions by their limits; if …   Wikipedia

  • indeterminate — /ɪndəˈtɜmənət / (say induh termuhnuht) adjective 1. not determinate; not fixed in extent; indefinite; uncertain. 2. not clear; vague: a cloudy and indeterminate meaning. 3. not established. 4. not settled or decided. 5. Mathematics (of a… …  

  • Diophantine analysis — Diophantine Di o*phan tine, a. Originated or taught by Diophantus, the Greek writer on algebra. [1913 Webster] {Diophantine analysis} (Alg.), that branch of indeterminate analysis which has for its object the discovery of rational values that… …   The Collaborative International Dictionary of English

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