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Limit of a function (ε,_δ)-definition of limit, formal definition of the mathematical notion of limit; Limit of a sequence; One-sided limit, either of the two limits of a function as a specified point is approached from below or from above; Limit inferior and limit superior; Limit of a net; Limit point, in topological spaces; Limit (category ...
Thesaurus Linguae Latinae. A modern english thesaurus. A thesaurus (pl.: thesauri or thesauruses), sometimes called a synonym dictionary or dictionary of synonyms, is a reference work which arranges words by their meanings (or in simpler terms, a book where one can find different words with similar meanings to other words), [1] [2] sometimes as a hierarchy of broader and narrower terms ...
The third edition (revised), published in 2008, has 1,264 pages, somewhat smaller than the Concise Oxford English Dictionary, and is distinct from the "Compact" (single- and two-volume photo-reduced) editions of the multi-volume Oxford English Dictionary.
The Longman Dictionary of Contemporary English (LDOCE), first published by Longman in 1978, [1] is an advanced learner's dictionary, providing definitions using a restricted vocabulary, helping non-native English speakers understand meanings easily. It is available in four configurations: Printed book; Premium online access
The original edition had 15,000 words and each successive edition has been larger, [3] with the most recent edition (the eighth) containing 443,000 words. [6] The book is updated regularly and each edition is heralded as a gauge to contemporary terms; but each edition keeps true to the original classifications established by Roget. [2]
In these limits, the infinitesimal change is often denoted or .If () is differentiable at , (+) = ′ ().This is the definition of the derivative.All differentiation rules can also be reframed as rules involving limits.
Augustin-Louis Cauchy in 1821, [6] followed by Karl Weierstrass, formalized the definition of the limit of a function which became known as the (ε, δ)-definition of limit. The modern notation of placing the arrow below the limit symbol is due to G. H. Hardy, who introduced it in his book A Course of Pure Mathematics in 1908. [7]
The term antonym (and the related antonymy) is commonly taken to be synonymous with opposite, but antonym also has other more restricted meanings. Graded (or gradable) antonyms are word pairs whose meanings are opposite and which lie on a continuous spectrum (hot, cold).