Category:P-Sequence Metrics

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This category contains results about P-Sequence Metrics.
Definitions specific to this category can be found in Definitions/P-Sequence Metrics.

Let $d_p: A \times A: \to \R$ be the real-valued function defined as:

$\ds \forall x = \sequence {x_i}, y = \sequence {y_i} \in A: \map {d_p} {x, y} := \paren {\sum_{k \mathop \ge 0} \size {x_k - y_k}^p}^{\frac 1 p}$

The metric space $\struct {A, d_p}$ is the $p$-sequence space on $\R$ and is denoted $\ell^p$.


This category has only the following subcategory.


Pages in category "P-Sequence Metrics"

The following 2 pages are in this category, out of 2 total.