What does minkowski addition mean?

Definitions for minkowski addition
minkows·ki ad·di·tion

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Wikipedia

  1. Minkowski addition

    In geometry, the Minkowski sum (also known as dilation) of two sets of position vectors A and B in Euclidean space is formed by adding each vector in A to each vector in B, i.e., the set A + B = { a + b | a ∈ A , b ∈ B } . {\displaystyle A+B=\{\mathbf {a} +\mathbf {b} \,|\,\mathbf {a} \in A,\ \mathbf {b} \in B\}.} Analogously, the Minkowski difference (or geometric difference) is defined using the complement operation as A − B = ( A c + B ) c {\displaystyle A-B=(A^{c}+B)^{c}} In general A − B ≠ A + ( − B ) {\displaystyle A-B\neq A+(-B)} . For instance, in a one-dimensional case A = [ − 2 , 2 ] {\displaystyle A=[-2,2]} and B = [ − 1 , 1 ] {\displaystyle B=[-1,1]} the Minkowski difference A − B = [ − 1 , 1 ] {\displaystyle A-B=[-1,1]} , whereas A + ( − B ) = A + B = [ − 3 , 3 ] . {\displaystyle A+(-B)=A+B=[-3,3].} In a two-dimensional case, Minkowski difference is closely related to erosion (morphology) in image processing. The concept is named for Hermann Minkowski.

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Numerology

  1. Chaldean Numerology

    The numerical value of minkowski addition in Chaldean Numerology is: 4

  2. Pythagorean Numerology

    The numerical value of minkowski addition in Pythagorean Numerology is: 2

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"minkowski addition." Definitions.net. STANDS4 LLC, 2024. Web. 29 Apr. 2024. <https://www.definitions.net/definition/minkowski+addition>.

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