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The Oxford Dictionary of Literary Terms offers a much broader definition for zeugma by defining it as any case of parallelism and ellipsis working together so that a single word governs two or more parts of a sentence. [17] Vicit pudorem libido timorem audacia rationem amentia. (Cicero, Pro Cluentio, VI.15)
In mathematics, an asymptotic expansion, asymptotic series or Poincaré expansion (after Henri Poincaré) is a formal series of functions which has the property that truncating the series after a finite number of terms provides an approximation to a given function as the argument of the function tends towards a particular, often infinite, point.
The numbers in between those above—11 to 14, 16 to 19, 21 to 39, and so forth—are formed by following the larger number with a smaller number which is to be added to the larger one. The smaller number is prefixed with om-or on-, or in the case of larger units, preceded by īpan "on it" or īhuān "with it". E.g.
The same definition can be used for series = whose terms are not numbers but rather elements of an arbitrary abelian topological group.In that case, instead of using the absolute value, the definition requires the group to have a norm, which is a positive real-valued function ‖ ‖: + on an abelian group (written additively, with identity element 0) such that:
Language shift, also known as language transfer, language replacement or language assimilation, is the process whereby a speech community shifts to a different language, usually over an extended period of time.
The set of terms is inductively defined by the following rules: [17] Variables. Any variable symbol is a term. Functions. If f is an n-ary function symbol, and t 1, ..., t n are terms, then f(t 1,...,t n) is a term. In particular, symbols denoting individual constants are nullary function symbols, and thus are terms.
In mathematics, a formal group law is (roughly speaking) a formal power series behaving as if it were the product of a Lie group.They were introduced by S. Bochner ().The term formal group sometimes means the same as formal group law, and sometimes means one of several generalizations.
The most famous example of a Dirichlet series is = =,whose analytic continuation to (apart from a simple pole at =) is the Riemann zeta function.. Provided that f is real-valued at all natural numbers n, the respective real and imaginary parts of the Dirichlet series F have known formulas where we write +: