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How to pronounce “cotype”

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Pronunciation guide for cotype

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Definition summary: (taxonomy, dated) A syntype or paratype.

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[Noun]
(taxonomy, dated) A syntype or paratype.
(functional analysis) A Banach space
(
X
,
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⋅
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)
{\displaystyle (X,\|\cdot \|)}
, such that, given a sequence of independent random variables from a Rademacher distribution,
(
ε
i
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{\displaystyle (\varepsilon _{i})}
, and a rank
q
{\displaystyle q}
in the range from 2 to infinity, there exists a finite constant
C
≥
1
{\displaystyle C\geq 1}
such that for all finite sequences
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x
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∈
X
{\displaystyle (x_{i})\in X}
,
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≥
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C
q
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q
)
,
if
2
≤
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<
∞
{\displaystyle \mathbb {E} _{\varepsilon }\left[\left\|\sum \limits _{i=1}^{n}\varepsilon _{i}x_{i}\right\|^{q}\right]\geq {\frac {1}{C^{q}}}\left(\sum \limits _{i=1}^{n}\|x_{i}\|^{q}\right),\quad {\text{if}}\;2\leq q<\infty }
or
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sup
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{\displaystyle \mathbb {E} _{\varepsilon }\left[\left\|\sum \limits _{i=1}^{n}\varepsilon _{i}x_{i}\right\|\right]\geq {\frac {1}{C}}\sup \|x_{i}\|,\quad {\text{if}}\;q=\infty }
.