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Separated By A Continuous Function
Separated can refer to: *Marital separation of spouses **Legal separation of spouses * "Separated" (song), song by Avant *Separated sets, a concept in mathematical topology * Separated space, a synonym for Hausdorff space, a concept in mathematical topology * Separated morphism, a concept in algebraic geometry analogous to that of separated space in topology *Separation of conjoined twins Conjoined twins, popularly referred to as Siamese twins, are twins joined '' in utero''. It is a very rare phenomenon, estimated to occur in anywhere between one in 50,000 births to one in 200,000 births, with a somewhat higher incidence in south ..., a procedure that allows them to live independently. * Separation (United States military), status of U.S. military personnel after release from active duty, but still having reserve obligations {{disambig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marital Separation
Marital separation occurs when spouses in a marriage stop living together without getting divorced. Married couples may separate as an initial step in the divorce process or to gain perspective on the marriage and determine whether divorce is warranted. Other couples may separate as an alternative to divorce for economic or religious reasons, for tax purposes, or to ensure continuing retirement and/or health insurance benefits for both spouses. A separation can be initiated informally, or there can be a legal separation with a formal separation agreement filed with the court. As for a divorce, the latter may include provisions for alimony, whether to have sole custody or shared parenting of any children, and the amount of child support Child support (or child maintenance) is an ongoing, periodic payment made by a parent for the financial benefit of a child (state or parent, caregiver, guardian) following the end of a marriage or other similar relationship. Child maintenance is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Legal Separation
Legal separation (sometimes judicial separation, separate maintenance, divorce ', or divorce from bed-and-board) is a legal process by which a married couple may formalize a separation while remaining legally married. A legal separation is granted in the form of a court order. In cases where children are involved, a court order of legal separation often makes child custody arrangements, specifying sole custody or shared parenting, as well as child support. Some couples obtain a legal separation as an alternative to a divorce, based on moral or religious objections to divorce. Legal separation does not automatically lead to divorce. The couple might reconcile, in which case they do not have to do anything in order to continue their marriage. ' separation is a legal Latin phrase which means "from table and bed", often translated as "from bed and board", in which "board" is a word for "table". Separation ' is essentially a separation that is sanctioned by a court order ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Separated (song)
"Separated" is a song by American R&B singer Avant. It was written by Avant and Steve "Stone" Huff for his debut album '' My Thoughts'' (2000), while production was helmed by Huff. MCA Records and Magic Johnson Music released the song as the album's lead single in April 2000. "Separated" spent one week atop the US Hot R&B/Hip-Hop Songs, also peaking at number 23 on the US ''Billboard'' Hot 100. A remix version of the song, co-written by Sparkle, features singer Kelly Rowland, formerly of Destiny's Child. A different remix features rapper Foxy Brown. Track listings Credits and personnel Credits lifted from the album's liner notes. * Myron Avant – writing * Steve Huff – production, writing * Sparkle – writing (Remix) Charts Weekly charts Year-end charts Awards and nominations *Soul Train Music Award The Soul Train Music Awards is an annual music awards ceremony which honors the best in African-American culture, music and entertainment. It is produced b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Separated Sets
In topology and related branches of mathematics, separated sets are pairs of subsets of a given topological space that are related to each other in a certain way: roughly speaking, neither overlapping nor touching. The notion of when two sets are separated or not is important both to the notion of connected spaces (and their connected components) as well as to the separation axioms for topological spaces. Separated sets should not be confused with separated spaces (defined below), which are somewhat related but different. Separable spaces are again a completely different topological concept. Definitions There are various ways in which two subsets A and B of a topological space X can be considered to be separated. A most basic way in which two sets can be separated is if they are disjoint, that is, if their intersection is the empty set. This property has nothing to do with topology as such, but only set theory. Each of the following properties is stricter than disjoint ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Separated Space
In topology and related branches of mathematics, a Hausdorff space ( , ), T2 space or separated space, is a topological space where distinct points have disjoint neighbourhoods. Of the many separation axioms that can be imposed on a topological space, the "Hausdorff condition" (T2) is the most frequently used and discussed. It implies the uniqueness of limits of sequences, nets, and filters. Hausdorff spaces are named after Felix Hausdorff, one of the founders of topology. Hausdorff's original definition of a topological space (in 1914) included the Hausdorff condition as an axiom. Definitions Points x and y in a topological space X can be ''separated by neighbourhoods'' if there exists a neighbourhood U of x and a neighbourhood V of y such that U and V are disjoint (U\cap V=\varnothing). X is a Hausdorff space if any two distinct points in X are separated by neighbourhoods. This condition is the third separation axiom (after T0 and T1), which is why Hausdorff spaces ar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Separated Morphism
In algebraic geometry, given a morphism of schemes p: X \to S, the diagonal morphism :\delta: X \to X \times_S X is a morphism determined by the universal property of the fiber product X \times_S X of ''p'' and ''p'' applied to the identity 1_X : X \to X and the identity 1_X. It is a special case of a graph morphism: given a morphism f: X \to Y over ''S'', the graph morphism of it is X \to X \times_S Y induced by f and the identity 1_X. The diagonal embedding is the graph morphism of 1_X. By definition, ''X'' is a separated scheme over ''S'' (p: X \to S is a separated morphism) if the diagonal morphism is a closed immersion. Also, a morphism p: X \to S locally of finite presentation is an unramified morphism if and only if the diagonal embedding is an open immersion. Explanation As an example, consider an algebraic variety over an algebraically closed field ''k'' and p: X \to \operatorname(k) the structure map. Then, identifying ''X'' with the set of its ''k''-rational points, X ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Conjoined Twins
Conjoined twins, popularly referred to as Siamese twins, are twins joined '' in utero''. It is a very rare phenomenon, estimated to occur in anywhere between one in 50,000 births to one in 200,000 births, with a somewhat higher incidence in southwest Asia and Africa. Approximately half are stillborn, and an additional one-third die within 24 hours. Most live births are female, with a ratio of 3:1. Two possible explanations of the cause of conjoined twins have been proposed. The one that is generally accepted is ''fission'', in which the fertilized egg splits partially. The other explanation, no longer believed to be accurate, is ''fusion'', in which the fertilized egg completely separates, but stem cells (that search for similar cells) find similar stem cells on the other twin and fuse the twins together. Conjoined twins and some monozygotic, but not conjoined, twins share a single common chorion, placenta, and amniotic sac '' in utero''. Chang and Eng Bunker (1811–1874) we ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
