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NationMaster - Encyclopedia: Total order In mathematics, the concept of binary relation, sometimes called dyadic relation, is exemplified by such ideas as is greater than and is equal to in arithmetic, or is congruent to in geometry, or is an element of or is a subset of in set theory. Thus a total order is also a partial order, that is, a binary relation which is reflexive, antisymmetric and transitive. This relation is transitive (a < b and b < c implies a < c) and, unlike ≤, trichotomous (i.e., exactly one of a < b, b < a and a = b is true). www.nationmaster.com /encyclopedia/Total-order   (2058 words)

Total - Wikipedia, the free encyclopedia Total (cereal) is the U.S. brand name of a ready-to-eat breakfast cereal manufactured by the General Mills corporation. A total relation is a certain kind of mathematical relation. A total function is a type of partial function. en.wikipedia.org /wiki/Total   (153 words)

Total relation - Wikipedia, the free encyclopedia In mathematics, a binary relation R over a set X is total if it holds for all a and b in X that a is related to b or b is related to a (or both). For example, "is less than or equal to" is a total relation over the set of real numbers, because for two numbers either the first is less than or equal to the second, or the second is less than or equal to the first. On the other hand, "is less than" is not a total relation, since one can pick two equal numbers, and then neither the first is less than the second, nor is the second less than the first. en.wikipedia.org /wiki/Total_relation   (217 words)

IBGE - Instituto Brasileiro de Geografia e Estatística In relation to September 2003, there was an important fall (-14.8%) in the unemployed population in the total of the six areas, due to the results from Recife (-19.0%), São Paulo (-21.0%) and Porto Alegre (-13.7%). In relation to September 2003, for the total of the six areas, a growth of 5.5% was observed, as a consequence of the results in Salvador (12.2%), Belo Horizonte (7.7%) and Porto Alegre (7.0%). In the total of the six areas, stability was observed in relation to August 2004 (2.2%) and September 2003 (3.7%). www.ibge.gov.br /english/presidencia/noticias/noticia_visualiza.php?id_noticia=240&id_pagina=1   (1634 words)

Total Body -- Recommendations and Resources   (Site not responding. Last check: 2007-10-16) Total's presence in Burma is responsible for several severe human rights violations, including forced labor, displacement, torture, rape and extra-judicial killings associated with a natural gas pipeline in which it maintains the majority ownership. Total war describes an international war in which countries or nations use all of their resources to destroy another organized country's or nation's ability to engage in war. The practice of total war has been in use for centuries, but it was only in the middle to late nineteenth century that total war was recognized as a separate class of warfare. www.becomingapediatrician.com /health/149/total-body.html   (1345 words)

Instream Transport of Nitrogen,....--WRIR 99-4139 Median total phosphorus concentrations were as low as 0.01 mg/L within the reservoir, compared with a range in median values of 0.08 to 0.3 mg/L at sites upstream and downstream from the reservoir (fig. The relation between total nitrogen export and the balance of agricultural land-phase input is shown in figure 18, with a line fitted to the data points using a simple linear regression. Two related conclusions are suggested: (1) inputs from wastewater discharge and fertilizer application are strongly linked with instream transport of phosphorus in watersheds where the natural phosphorus source is not present and (2) the natural source, where it is present, might be the largest contributor to instream transport of phosphorus. pubs.usgs.gov /wri/wri994139/text/instream.html   (5594 words)

total - Search Results   (Site not responding. Last check: 2007-10-16) total; that is, for all ''a'' and ''b'' in ''X'', it... a total preorder and a total order is that a total preorder (since it is only a preorder) is not req... ...f Melanesian descent — was 410,003 (2.2% of the total population) in 2001, a significant increase from... www.reboom.com /search.php?keyword=total   (402 words)

total | English | Dictionary & Translation by Babylon Total may also mean:Total S.A. is the name of a French petroleum company. Total (cereal) is the U.S. brand name of a ready-to-eat breakfast cereal manufactured by the General Mills corporation. A common total relation is the total order.A total function is a type of partial function.A database management system marketed by CincomA now-defunct project by UK musician Matthew BowerTotaled, a term referring to the complete destruction of a vehicle. www.babylon.com /definition/total/English   (290 words)

BINARY RELATION - GoGoSearch.com According to this view, the set of pairs {(1,2),(1,3),(2,7)} is a relation from any set that contains {1,2} to any set that contains {2,3,7}.Either approach is adequate for most uses, provided that one attends to the necessary changes in language, notation, and the definitions of concepts like restrictions, composition, inverse relation, and so on. A relation which is reflexive, antisymmetric and transitive is called a partial order. A partial order which is total is called a total order or a linear order or a chain. www.gogosearch.com /wiki/binary_relation   (1660 words)

The Avalon Project : The Atomic Bombings of Hiroshima and Nagasaki The relation of total casualties to distance from X, the center of damage and point directly under the air-burst explosion of the bomb, is of great importance in evaluating the casualty-producing effect of the bombs. This relationship for the total population of Nagasaki is shown in the table below, based on the first-obtained casualty figures of the District: It seems almost certain from the various reports that the greatest total number of deaths were those occurring immediately after the bombing. www.yale.edu /lawweb/avalon/abomb/mp10.htm   (337 words)

Total relation - Biocrawler   (Site not responding. Last check: 2007-10-16) In mathematics, a binary relation R over a set X is total if it holds for all a and b in X that a is related to b or b is related to a. For example, "is less than or equal to" is a total relation over the set of real numbers, while "is less than" is not. This page was last modified 01:44, 16 Jun 2005. www.biocrawler.com /encyclopedia/Total_relation   (76 words)

Ontolingua Theory FRAME-ONTOLOGY A relation is a set of tuples that represents a relationship among objects in the universe of discourse. That is, a relation is defined by a predicate which holds for sequences of arguments that are in the relation. The exact-domain of a variable-arity relation is another variable-arity relation; the lengths of the tuples in the exact-domain of R is one less than the corresponding tuples in the relation R. The exact-domain of a unary relation, or a relation that contains a tuple of length one, is undefined. www-ksl.stanford.edu /htw/dme/thermal-kb-tour/frame-ontology.html   (5924 words)

Section 7.1 (Priority Queue Introduction) A total order relation is when the comparison rule is defined for every pair of keys. A key is an object assigned to an element that is used to identify it in a Queue. Total order relation is attained when all the elements in a Queue are ordered in a linear fashion. cs.allegheny.edu /wiki/cs102S2003/271   (492 words)

Order Relation   (Site not responding. Last check: 2007-10-16) Example 1: The less-than-or-equal-to relation on the set of integers I is a partial order, and the set I with this relation is a poset. Example 2: The subset relation on the power set of a set, say {1, 2}, is also a partial order, and the set {1, 2} with the subset relation is a poset. The poset of the set of positive real numberes with the less-than-or-equal-to relation is not a well order, because the set itself does not have any least element (0 is not in the set). www.cs.odu.edu /~toida/nerzic/content/relation/order/order.html   (1120 words)

Total burmese army : Total against the burmese army   (Site not responding. Last check: 2007-10-16) Total burmese army: Total against the burmese army. There are no relation between Total and the burmese army. The burmese army's presence was strengthened following a March 1995 ambush of a truck working on the Total Yadana project, an attack that killed five people. burma.total.com /en/total-burmese-army.html   (97 words)

No Title   (Site not responding. Last check: 2007-10-16) The parent of relations, ``x is a parent of y'', is a binary relation between pairs of people. This relation is reflexive, symmetric, and transitive, and hence is an equivalence relation. What an equivalence relation means is that the elements can be partitioned into equivalence classes (or blocks) such that all elements in the same block have the same properties. www.cs.sunysb.edu /~cse113/ref/lecture22/lecture22.html   (978 words)

UNHCR - Pakistan/United States: Asylum claims in the United States, including number of claims made, success rate, ... In addition, a total of 134 Pakistani refugees and asylees were granted lawful permanent resident status in the US in 2000 (ibid., 31). In 2001, the total number of asylum claims filed with INS district directors and asylum officers was 63,230 (ibid., 17). In addition, a total of 320 Pakistani refugees and asylees were granted lawful permanent resident status in the US in 2001 (ibid., 31). www.unhcr.org /home/RSDCOI/3f7d4e461c.html   (755 words)

CTF Full Text Review: Lowering blood total cholesterol International studies have revealed that the proportion of the total energy intake derived from fat and the degree of saturation of that fat are strongly and positively correlated with the level of serum cholesterol and the rate of death from CHD. If it is assumed that the positive relation of blood total cholesterol to the risk of CHD is curvilinear in all segments of the population, the potential benefit of cholesterol lowering becomes progressively less with as the baseline cholesterol level gets lower. There is fair evidence (B Recommendation) to support dietary advice for men aged 30 to 69 years since the lowering of their total fat, saturated fat and cholesterol intake and a modest increase in the intake of polyunsaturated fat are associated with decreased CHD rates. www.ctfphc.org /Full_Text/Ch54full.htm   (4522 words)

Relation (`relationship' is often used where `relation' would serve (as in "the relationship between inflation and unemployment")) preferred usage of `relationship' is for human relations or states of relatedness; "the relationship between mothers and children" relation is disjointly decomposed into binary relation,ternary relation,quaternary relation,quintary relation,variable arity relation. relation is exhaustively partitioned into total valued relation,partial valued relation. virtual.cvut.cz /kifb/en/concepts/_relation.html   (324 words)

TOTAL-PREORDER and TOTAL-ORDER The notions of strict weak order (see Section 7.11.3) and of total preorder are complementary: the set-theoretic complement of a strict weak order is a total preorder and vice versa. Then, it follows from the properties of a total preorder that this is an equivalence relation and, furthermore, two elements are equivalent in a total preorder if and only if they are incomparable in the associated strict weak order (we have seen in Section 7.11.3 that the incomparability relation Both kinds of relations capture the notion that the set of elements is split into partitions which are linearly ordered. maude.cs.uiuc.edu /maude2-manual/html/node109.html   (469 words)

John N. Deck "St. Thomas and the Language of Total Dependence" But total dependence, dependence such that everything that the dependent in any way is, is due to that upon which it depends—this is not readily observable. Nevertheless, it seems interesting to work out the implications of total dependence, not only because it is the core of a persistently influential view of creatures and God, but because it is at least the limiting case, the abstract pole, of dependence, an inescapable feature of the world of which philosophy must take account. I take total dependence to entail (1) that B is dependent upon A, but that A is independent of B (that there is no reciprocity, no reciprocal action), (2) that B is dependent on nothing else than A, and (3) that there nothing in B which is independent of A. Total dependence entails non-reciprocity. www.anthonyflood.com /totaldependence.htm   (5857 words)

Totally Ordered Set -- from Wolfram MathWorld A total order (or "totally ordered set," or "linearly ordered set") is a set plus a relation on the set (called a total order) that satisfies the conditions for a partial order plus an additional condition known as the comparability condition. The first three are the axioms of a partial order, while addition of the trichotomy law defines a total order. Every finite totally ordered set is well ordered. mathworld.wolfram.com /TotallyOrderedSet.html   (107 words)

Equivalence Relations If A is a set, then a relation on A is a subset R. The relation R is an equivalence relation on A if it satisfies the reflexive property, symmetric property, and transitive property. Equivalence relations are the generalization of the relation of being equal - whilst two elements are not the same, they may in share all the properties that you care about. The binary relation "divides," on the set of positive integers (as in "5 divides 15, 5 does not divide 12") is reflexive and transitive, but not symmetric. www.physicsforums.com /showthread.php?t=15405&page=2   (1204 words)

ICC Reports Business Ratios A gearing measurement which compares total borrowings with the surplus or deficit of funds from normal trading activities. Total Assets in comparison to the number of employees. Liabilities to be paid within 12 months expressed as a ratio in relation to value of stocks. www.creditman.co.uk /icc/finandef4.html   (967 words)

Total Casualties | The Atomic Bombings of Hiroshima and Nagasaki | Historical Documents | atomicarchive.com The relation of total casualties to distance from X, the center of damage and point directly under the air-burst explosion of the bomb, is of great importance in evaluating the casualty-producing effect of the bombs. This relationship for the total population of Nagasaki is shown in the table below, based on the first-obtained casualty figures of the District: It seems almost certain from the various reports that the greatest total number of deaths were those occurring immediately after the bombing. www.atomicarchive.com /Docs/MED/med_chp10.shtml   (362 words)

Total Heuristics Corp   (Site not responding. Last check: 2007-10-16) The word is used adjectivally ("Is it heuristic?") in relation to research or intellectual pursuits. For example, a good theory or idea may be heuristic in that it attempts to find something out or stimulates further investigation. Total Heuristics Corp seeks to use the web to match solutions to peoples' problems through interactive, online web communities. www.totalheuristics.com   (814 words)

Fatty acid intake and breast cancer - Diet and Cancer Nutrition Research Newsletter - Find Articles Few studies that have examined the relation between intake of fat or fatty acids and the risk of breast cancer have addressed the role of trans fatty acids. On the in vivo relation between CLA intake or tissue concentrations and risk of human breast cancer, few data have been published, from case-control studies only, with contradictory results. No relation was observed between intake of energy, total fat, or polyunsaturated fat and breast cancer incidence. www.findarticles.com /p/articles/mi_m0887/is_11_21/ai_94763524   (535 words)

Relations Definition 25 A relation from A to B is a subset Definition 30 A relation R on A is reflexive iff the identity relation is contained in R. Theorem 4.4 The properties antisymmetric, transitive, and total are independent: there are relations which satisfy all properties but one, and any of the properties can be the one which fails. www.iwu.edu /~lstout/theoremlist/node9.html   (318 words)

Cholesterol: be aware of your ratio! - high-density lipoproteins in relation to total cholesterol count Saturday ...   (Site not responding. Last check: 2007-10-16) Even with a "safe" level of total cholesterol, there are still several ways that your risk of coronary artery disease may be too high. Second, the HDLs are important as they relate to the total cholesterol levels. So, suppose you are a man and your total cholesterol count is 200 mg/dl-not a bad level according to many longitudinal studies. www.findarticles.com /p/articles/mi_m1189/is_n4_v260/ai_6593265   (931 words)

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