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  2. Translation (geometry) - Wikipedia

    en.wikipedia.org/wiki/Translation_(geometry)

    In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system. In a Euclidean space, any translation is ...

  3. Elementary mathematics - Wikipedia

    en.wikipedia.org/wiki/Elementary_mathematics

    A formula is an entity constructed using the symbols and formation rules of a given logical language. [5] For example, determining the volume of a sphere requires a significant amount of integral calculus or its geometrical analogue, the method of exhaustion ; [ 6 ] but, having done this once in terms of some parameter (the radius for example ...

  4. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.

  5. Translation of axes - Wikipedia

    en.wikipedia.org/wiki/Translation_of_axes

    In mathematics, a translation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x'y'-Cartesian coordinate system in which the x' axis is parallel to the x axis and k units away, and the y' axis is parallel to the y axis and h units away.

  6. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    A number-line visualization of the algebraic addition 2 + 4 = 6. A "jump" that has a distance of 2 followed by another that is long as 4, is the same as a translation by 6. A number-line visualization of the unary addition 2 + 4 = 6. A translation by 4 is equivalent to four translations by 1.

  7. Glide reflection - Wikipedia

    en.wikipedia.org/wiki/Glide_reflection

    Combining two equal glide plane operations gives a pure translation with a translation vector that is twice that of the glide reflection, so the even powers of the glide reflection form a translation group. In the case of glide-reflection symmetry, the symmetry group of an object contains a glide reflection and the group generated by it. For ...

  8. Translational symmetry - Wikipedia

    en.wikipedia.org/wiki/Translational_symmetry

    For translational invariant functions : it is () = (+).The Lebesgue measure is an example for such a function.. In physics and mathematics, continuous translational symmetry is the invariance of a system of equations under any translation (without rotation).

  9. Mathematical notation - Wikipedia

    en.wikipedia.org/wiki/Mathematical_notation

    An expression is a finite combination of symbols that is well-formed according to rules that depend on the context. In general, an expression denotes or names a mathematical object , and plays therefore in the language of mathematics the role of a noun phrase in the natural language.

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