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Special case information


In logic, especially as applied in mathematics, concept A is a special case or specialization of concept B precisely if every instance of A is also an instance of B but not vice versa, or equivalently, if B is a generalization of A.[1] A limiting case is a type of special case which is arrived at by taking some aspect of the concept to the extreme of what is permitted in the general case. If B is true, one can immediately deduce that A is true as well, and if B is false, A can also be immediately deduced to be false. A degenerate case is a special case which is in some way qualitatively different from almost all of the cases allowed.

  1. ^ Brown, James Robert. Philosophy of Mathematics: An Introduction to a World of Proofs and Pictures. United Kingdom, Taylor & Francis, 2005. 27.

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Special case

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Law of the unconscious statistician

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Null object pattern

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separates normal logic from special case handling and makes the code easier to understand. It can be regarded as a special case of the State pattern and...

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grammar, the nominative case (abbreviated NOM), subjective case, straight case, or upright case is one of the grammatical cases of a noun or other part...

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In grammar, the accusative case (abbreviated ACC) of a noun is the grammatical case used to receive the direct object of a transitive verb. In the English...

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Quartic equation

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susceptible to errors in execution, it is better to apply one of the special cases listed below if possible. If the constant term a4 = 0, then one of the...

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Rhombohedron

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a three-dimensional figure with six faces which are rhombi. It is a special case of a parallelepiped where all edges are the same length. It can be used...

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Special unitary group

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absolute value 1, rather than real 1 in the special case. The group operation is matrix multiplication. The special unitary group is a normal subgroup of the...

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Special relativity

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the phrase "special relativity" was not used. A translation sometimes used is "restricted relativity"; "special" really means "special case". Some of the...

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Dark forest hypothesis

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information. In the case of this particular game, the only win condition is continued survival. An additional constraint in the special case of the "dark forest"...

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Point in polygon

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plane lies inside, outside, or on the boundary of a polygon. It is a special case of point location problems and finds applications in areas that deal...

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Velocity

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is not the case anymore with special relativity in which velocities depend on the choice of reference frame. In the one-dimensional case, the velocities...

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