# ordering

101

**crystal**— crystallike, adj. /kris tl/, n., adj., v., crystaled, crystaling or (esp. Brit.) crystalled, crystalling. n. 1. a clear, transparent mineral or glass resembling ice. 2. the transparent form of crystallized quartz. 3. Chem., Mineral. a solid body… …102

**Crystal**— /kris tl/, n. 1. a city in SE Minnesota, near Minneapolis. 25,543. 2. a female given name. * * * I Any solid material whose atoms are arranged in a definite pattern and whose surface regularity reflects its internal symmetry. Each of a crystal s… …103

**Gröbner basis**— In computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating subset of an ideal I in a polynomial ring R. One can view it as a multivariate, non linear… …104

**Order theory**— For a topical guide to this subject, see Outline of order theory. Order theory is a branch of mathematics which investigates our intuitive notion of order using binary relations. It provides a formal framework for describing statements such as… …105

**Lexicographical order**— In mathematics, the lexicographic or lexicographical order, (also known as lexical order, dictionary order, alphabetical order or lexicographic(al) product), is a generalization of the way the alphabetical order of words is based on the… …106

**Gojūon**— The gojūon (五十音) is a Japanese ordering of kana. Gojū (五十) means fifty , and on (音, as in on yomi) means sound , so gojūon is fifty sound ordering. It is so named from the 10 by 5 grid commonly used to display the kana. (Note that there never… …107

**List of Ordinances and Acts of the Parliament of England, 1642 to 1660**— This is a list of Ordinances and Acts of the Parliament of England from 1642 to 1660, during the English Civil War and the Interregnum.As King Charles I of England would not assent to Bills from a Parliament at war with him, decrees of Parliament …108

**Hilbert R-tree**— Hilbert R tree, an R tree variant, is an index for multidimensional objects like lines, regions, 3 D objects, or high dimensional feature based parametric objects. It can be thought of as an extension to B+ tree for multidimensional objects.The… …109

**Characteristic set**— The mathematical concept of a characteristic set was discovered in the late forties by J.F. Ritt. Besides Gröbner basis method, it provides an alternative algorithmic way for solving multivariate polynomial equations or differential equations.In… …110

**Computation of CRC**— Computation of a cyclic redundancy check is derived from the mathematics of polynomial division, modulo two. In practice, it resembles long division of the binary message string, with a fixed number of zeroes appended, by the generator polynomial …