Category:Definitions/P-Sequence Metrics
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This category contains definitions related to P-Sequence Metrics.
Related results can be found in Category: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 $\ell^p$.
Pages in category "Definitions/P-Sequence Metrics"
The following 3 pages are in this category, out of 3 total.