Clarkson's inequalities and Lp space

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Clarkson's inequalities and Lp space

Clarkson's inequalities vs. Lp space

In mathematics, Clarkson's inequalities, named after James A. Clarkson, are results in the theory of ''L''''p'' spaces. In mathematics, the Lp spaces are function spaces defined using a natural generalization of the ''p''-norm for finite-dimensional vector spaces.

Similarities between Clarkson's inequalities and Lp space

Clarkson's inequalities and Lp space have 5 things in common (in Unionpedia): Mathematics, Measurable function, Measure space, Norm (mathematics), Triangle inequality.

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Measurable function

In mathematics and in particular measure theory, a measurable function is a function between two measurable spaces such that the preimage of any measurable set is measurable, analogously to the definition that a function between topological spaces is continuous if the preimage of each open set is open.

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Measure space

A measure space is a basic object of measure theory, a branch of mathematics that studies generalized notions of volumes.

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Norm (mathematics)

In linear algebra, functional analysis, and related areas of mathematics, a norm is a function that assigns a strictly positive length or size to each vector in a vector space—save for the zero vector, which is assigned a length of zero.

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Triangle inequality

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

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The list above answers the following questions

What Clarkson's inequalities and Lp space have in common
What are the similarities between Clarkson's inequalities and Lp space

Clarkson's inequalities and Lp space Comparison

Clarkson's inequalities has 11 relations, while Lp space has 127. As they have in common 5, the Jaccard index is 3.62% = 5 / (11 + 127).

References

This article shows the relationship between Clarkson's inequalities and Lp space. To access each article from which the information was extracted, please visit:

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