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The community property concept originated in civil law jurisdictions but is now also found in some common law jurisdictions. U.S. states with community property laws draw primarily from the marital property laws under the civil law of France and Spain. [10] Division of community property may take place by item by splitting all items or by values.
Community property (United States) also called community of property (South Africa) is a marital property regime whereby property acquired during a marriage is considered to be owned by both spouses and subject to division between them in the event of divorce. Conversely, property owned by one spouse before the marriage, along with gifts and ...
Each point has a neighborhood base of sets exhibiting the property. Here, note that condition (2) is for the most part stronger than condition (1), and that extra caution should be taken to distinguish between the two. For example, some variation in the definition of locally compact can arise as a result of the different choices of these ...
Some of the more well-known topics in recreational mathematics are Rubik's Cubes, magic squares, fractals, logic puzzles and mathematical chess problems, but this area of mathematics includes the aesthetics and culture of mathematics, peculiar or amusing stories and coincidences about mathematics, and the personal lives of mathematicians.
In mathematics, a property is any characteristic that applies to a given set. [1] Rigorously, a property p defined for all elements of a set X is usually defined as a function p: X → {true, false}, that is true whenever the property holds; or, equivalently, as the subset of X for which p holds; i.e. the set {x | p(x) = true}; p is its indicator function.
There is no general consensus about the definition of mathematics or its epistemological status—that is, its place inside knowledge. A great many professional mathematicians take no interest in a definition of mathematics, or consider it undefinable. There is not even consensus on whether mathematics is an art or a science.
A set in the plane is a neighbourhood of a point if a small disc around is contained in . The small disc around is an open set .. In topology and related areas of mathematics, a neighbourhood (or neighborhood) is one of the basic concepts in a topological space.
In mathematics, a characterization of an object is a set of conditions that, while possibly different from the definition of the object, is logically equivalent to it. [1] To say that "Property P characterizes object X" is to say that not only does X have property P, but that X is the only thing that has property P (i.e., P is a defining ...