Translation   (translated from German)
Translation The term Translation (v. lat.: transferre ()uebertragen; PPP: translatum - > translatio. Designated generally one Transmission or Translation. In the special one the term in ... point a shifted a constant vector, see Translation (mathematics) in that Physik and Technik the ...
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Translation   (translated from German)
Translation Those Translation or Translation is one geometrische Abbildung , everyone Point the ... a way specified, to be marked. The translation belongs to that Congruence illustrations, since by ... Kollineation (more exactly: Homothetie) $\backslash alpha$ translation is then called, if the following ...
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Translation   (translated from French)
Translation This article is one outline to supplement ... you can share your knowledge in modifying. Translation action to move something or somebody in ... line right-hand side. One speaks about translation in the case of displacement all the ... vertical and to compose with gravity. In mathematics to carry out one translation (geometry) a vector a whole of ...
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Metric (mathematics)
Metric (mathematics) In mathematics a metric or distance function is a ... X is defined, we call d a translation invariant metric if d(x, y)=d ... x,y) = 1. The Euclidean metric is translation invariant. More generally, any metric induced by a norm (see below) is translation invariant. If (p n ) n∈N is ...
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Measure (mathematics)
Measure (mathematics) In mathematics, a measure is a function that assigns ... The Lebesgue measure is the unique complete translation-invariant measure on a σ-algebra containing ... s theorem states that the space of translation-invariant, finitely additive, not-necessarily-nonnegative set ...
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Babylonian mathematics
Babylonian mathematics Babylonian mathematics refers to any mathematics of the peoples of Mesopotamia, from the ... to the sparsity of sources in Egyptian mathematics, our knowledge of Babylonian mathematics is derived from some 400 clay ...
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Rotation (mathematics)
Rotation (mathematics) See rotation for an elementary introduction to ... one rotation about some axis, and a translation along the axis (with as special cases pure rotation and pure translation). An arbitrary rotation with a given point ... through the origin; just add an arbitrary translation to get an arbitrary move of a ... See also degrees of freedom (engineering). In mathematics also more abstract rotations are considered: ...
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Constructivism (mathematics)
Constructivism (mathematics) This article is not about the application of the constructivist learning theory to mathematics. In the philosophy of mathematics, constructivism asserts that it is necessary to ... constructivism. Intuitionism maintains that the foundations of mathematics lie in the individual mathematician's intuition, thereby making mathematics into an intrinsically subjective activity. Constructivism ...
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Valuation (mathematics)
Valuation (mathematics) Model theory In logic and model theory ... following conditions: ν(0) = ∞. The geometrical translation of this is that any non-empty ... b)). In some sense, this is a translation of the triangle inequality of metric spaces ...
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Machine translation
Machine translation Machine translation, sometimes referred to by the acronym MT ... differences in linguistic typology, phrase recognition, and translation of idioms, as well as the isolation ... The product is sometimes called a "gisting translation" —unless one is proficient in both languages ... MT will often produce only a rough translation that will at best allow the ...
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