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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.
For every line through O that intersects the given curve at A the two points on the line which are d from A are on the conchoid. The conchoid is, therefore, the cissoid of the given curve and a circle of radius d and center O. They are called conchoids because the shape of their outer branches resembles conch shells.
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 ...
Choosing a local coordinate system determines a local section of this bundle, which can then be used to pull back the Christoffel symbols to functions on M, though of course these functions then depend on the choice of local coordinate system. For each point, there exist coordinate systems in which the Christoffel symbols vanish at the point. [16]
The prime symbol ′ is commonly used to represent feet (ft), and the double prime ″ is used to represent inches (in). [2] The triple prime ‴, as used in watchmaking, represents a ligne (1 ⁄ 12 of a "French" inch, or pouce, about 2.26 millimetres or 0.089 inches). [3] Primes are also used for angles.
The ditto mark is a shorthand sign, used mostly in hand-written text, indicating that the words or figures above it are to be repeated. [1] [2]The mark is made using "a pair of apostrophes"; [1] "a pair of marks " used underneath a word"; [3] the symbol " (quotation mark); [2] [4] or the symbol ” (right double quotation mark).
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.
Ellipsoidal coordinates are a three-dimensional orthogonal coordinate system (,,) that generalizes the two-dimensional elliptic coordinate system. Unlike most three-dimensional orthogonal coordinate systems that feature quadratic coordinate surfaces , the ellipsoidal coordinate system is based on confocal quadrics .