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The possessive form of an English noun, or more generally a noun phrase, is made by suffixing a morpheme which is represented orthographically as ' s (the letter s preceded by an apostrophe), and is pronounced in the same way as the regular English plural ending (e)s: namely, as / ɪ z / when following a sibilant sound (/ s /, / z /, / ʃ /, / ʒ /, / tʃ / or / dʒ /), as / s / when following ...
When a coordinate possessive construction has two personal pronouns, the normal possessive inflection is used, and there is no apostrophe (e.g., "his and her children"). The issue of the use of the apostrophe arises when the coordinate construction includes a noun (phrase) and a pronoun.
A user will input a number and the Calculator will use an algorithm to search for and calculate closed-form expressions or suitable functions that have roots near this number. Hence, the calculator is of great importance for those working in numerical areas of experimental mathematics. The ISC contains 54 million mathematical constants.
The totality of coordinator(s) and conjuncts forming an instance of coordination is called a coordinate structure. The unique properties of coordinate structures have motivated theoretical syntax to draw a broad distinction between coordination and subordination. [1] It is also one of the many constituency tests in linguistics. Coordination is ...
Each Plücker coordinate appears in two of the four equations, each time multiplying a different variable; and as at least one of the coordinates is nonzero, we are guaranteed non-vacuous equations for two distinct planes intersecting in L. Thus the Plücker coordinates of a line determine that line uniquely, and the map α is an injection.
In normal text and headings, use and instead of the ampersand (&): January 1 and 2, not January 1 & 2. But retain an ampersand when it is a legitimate part of the style of a proper noun, the title of a work, or a trademark, such as in Up & Down or AT&T .
Homogeneous coordinates are not uniquely determined by a point, so a function defined on the coordinates, say (,,), does not determine a function defined on points as with Cartesian coordinates. But a condition f ( x , y , z ) = 0 {\displaystyle f(x,y,z)=0} defined on the coordinates, as might be used to describe a curve, determines a condition ...
A vector v (red) represented by • a vector basis (yellow, left: e 1, e 2, e 3), tangent vectors to coordinate curves (black) and • a covector basis or cobasis (blue, right: e 1, e 2, e 3), normal vectors to coordinate surfaces (grey) in general (not necessarily orthogonal) curvilinear coordinates (q 1, q 2, q 3). The basis and cobasis do ...