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Hyperonym and hypernym mean the same thing, with both in use by linguists. The form hypernym interprets the -o-of hyponym as a part of hypo, such as in hypertension and hypotension. However, etymologically the -o-is part of the Greek stem ónoma. In other combinations with this stem, e.g. synonym, it is never elided.
In mathematics, a series is, roughly speaking, an addition of infinitely many terms, one after the other. [1] The study of series is a major part of calculus and its generalization, mathematical analysis. Series are used in most areas of mathematics, even for studying finite structures in combinatorics through generating functions.
A Laurent series is a generalization of the Taylor series, allowing terms with negative exponents; it takes the form = and converges in an annulus. [6] In particular, a Laurent series can be used to examine the behavior of a complex function near a singularity by considering the series expansion on an annulus centered at the singularity.
The connection of generalization to specialization (or particularization) is reflected in the contrasting words hypernym and hyponym.A hypernym as a generic stands for a class or group of equally ranked items, such as the term tree which stands for equally ranked items such as peach and oak, and the term ship which stands for equally ranked items such as cruiser and steamer.
A formal power series can be loosely thought of as an object that is like a polynomial, but with infinitely many terms.Alternatively, for those familiar with power series (or Taylor series), one may think of a formal power series as a power series in which we ignore questions of convergence by not assuming that the variable X denotes any numerical value (not even an unknown value).
The 29-year-old Kuzma got his $102 million payday in the summer of 2023 while the Wizards were engaging in a down-to-the-studs rebuild, but he ended up having little to offer from a long-term ...
This series is called balanced if a 1... a k + 1 = b 1...b k q. This series is called well poised if a 1 q = a 2 b 1 = ... = a k + 1 b k, and very well poised if in addition a 2 = −a 3 = qa 1 1/2. The unilateral basic hypergeometric series is a q-analog of the hypergeometric series since
The series is named after the mathematician Carl Neumann, who used it in 1877 in the context of potential theory. The Neumann series is used in functional analysis . It is closely connected to the resolvent formalism for studying the spectrum of bounded operators and, applied from the left to a function, it forms the Liouville-Neumann series ...