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Let (,) and (,) be ordered pairs. Then the characteristic (or defining) property of the ordered pair is: (,) = (,) = =.. The set of all ordered pairs whose first entry is in some set A and whose second entry is in some set B is called the Cartesian product of A and B, and written A × B.
When the prefix "re-" is added to a monosyllabic word, the word gains currency both as a noun and as a verb. Most of the pairs listed below are closely related: for example, "absent" as a noun meaning "missing", and as a verb meaning "to make oneself missing". There are also many cases in which homographs are of an entirely separate origin, or ...
In mathematics, a pairing is an R-bilinear map from the ... , which matches the first definition by ... This page was last edited on 10 November 2024, ...
Smoothness is a concept which mathematics has endowed with many meanings, from simple differentiability to infinite differentiability to analyticity, and still others which are more complicated. Each such usage attempts to invoke the physically intuitive notion of smoothness. strong, stronger
In mathematics, specifically algebraic geometry, a scheme is a structure that enlarges the notion of algebraic variety in several ways, such as taking account of multiplicities (the equations x = 0 and x 2 = 0 define the same algebraic variety but different schemes) and allowing "varieties" defined over any commutative ring (for example, Fermat curves are defined over the integers).
In mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which operations to perform first in order to evaluate a given mathematical expression. These rules are formalized with a ranking of the operations.
The form comes with two worksheets, one to calculate exemptions, and another to calculate the effects of other income (second job, spouse's job). The bottom number in each worksheet is used to fill out two if the lines in the main W4 form. The main form is filed with the employer, and the worksheets are discarded or held by the employee.
This is followed by the simple past tense , and then the past participle. If there are irregular present tense forms (see below), these are given in parentheses after the infinitive. (The present participle and gerund forms of verbs, ending in -ing, are always regular. In English, these are used as verbs, adjectives, and nouns.)
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