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Recent questions tagged metric


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What is a dot (inner) product?
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What is a dot (inner) product?What is a dot (inner) product? ...
by Maths Genie Bronze Status
(5,384 points)
asked in Mathematics Aug 9, 2021
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Show that $\langle v|A| w\rangle=\sum_{i j} A_{i j} v_{i}^{*} w_{j}$
0 answers 53 views
Show that $\langle v|A| w\rangle=\sum_{i j} A_{i j} v_{i}^{*} w_{j}$Show that $\langle v|A| w\rangle=\sum_{i j} A_{i j} v_{i}^{} w_{j}$ ...
by MathsGee Platinum
(106,844 points)
asked in Mathematics Jul 24, 2021
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Let $f: N \rightarrow Y$ be a function defined as
1 answer 47 views
Let $f: N \rightarrow Y$ be a function defined asLet $f: N \rightarrow Y$ be a function defined as $f(x)=4 x+3$ where $Y=\{y \in N: y=4 x+3$ for some $x \in N\}$ Show that $f$ is invertible and its i ...
by MathsGee Platinum
(106,844 points)
asked in Mathematics Jun 9, 2021
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Let $f:(-1,1) \rightarrow B$, be a function defined by $f(x)=\tan ^{-1} \frac{2 x}{1-x^{2}}$, then $f$ is both one-one and onto when $B$ is the interval.
1 answer 51 views
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Are all topological spaces metrizable?
0 answers 35 views
Are all topological spaces metrizable?We say that a norm $|| \cdot ||$ generates a toplogy $\tau_{|| \cdot ||}$ if and only if $\tau_{|| \cdot ||}$ is the smallest tolpolgy in $X$ that con ...
by Sabelo Letsoalo Wooden
(150 points)
asked in Mathematics May 11, 2021
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All metric spaces are topological spaces.
0 answers 40 views
All metric spaces are topological spaces.Let $(X, || \cdot||)$ metrix space. Show that $(X, \tau_)$, where $\tau = \{  \mathcal{O} \subset X |  \mathcal{O}\text{ is open with respec ...
by Sabelo Letsoalo Wooden
(150 points)
asked in Mathematics May 11, 2021
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Calculate $\sin \left(\frac{\pi}{4}+i\right)$.
1 answer 65 views
Calculate $\sin \left(\frac{\pi}{4}+i\right)$.Calculate $\sin \left(\frac{\pi}{4}+i\right)$. ...
by Pieter SIlver Status
(18,309 points)
asked in Mathematics May 10, 2021
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Show that $g \circ f$ is a uniformly continuous function from $X$ to $Z . \quad$ 
1 answer 73 views
Show that $g \circ f$ is a uniformly continuous function from $X$ to $Z . \quad$ Let $f$ be a uniformly continuous function from a metric space $X$ to another metric space $Y$ and $g$ a uniformly continuous function from the metric ...
by Student SIlver Status
(10,398 points)
asked in Mathematics May 10, 2021
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Let $\left\{p_{n}\right\}$ be a sequence in a metric space. Give the definition of the convergence of this sequence.
1 answer 55 views
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Give the equation for the $L^{p}$ metric on $\mathbb{R}^{2}$.
1 answer 38 views
Give the equation for the $L^{p}$ metric on $\mathbb{R}^{2}$.Give the equation for the $L^{p}$ metric on $\mathbb{R}^{2}$. ...
by Student SIlver Status
(10,398 points)
asked in Mathematics May 10, 2021
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An inner product on a real vector space $V$ is a function $\langle\cdot, \cdot\rangle: V \times V \rightarrow \mathbb{R}$ satisfying
1 answer 147 views
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What are normed spaces?
1 answer 51 views
What are normed spaces?What are normed spaces? ...
by Pieter SIlver Status
(18,309 points)
asked in Mathematics May 8, 2021
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A metric on a set $S$ is a function $d: S \times S \rightarrow \mathbb{R}$ that satisfies
1 answer 53 views
A metric on a set $S$ is a function $d: S \times S \rightarrow \mathbb{R}$ that satisfiesA metric on a set $S$ is a function $d: S \times S \rightarrow \mathbb{R}$ that satisfies ...
by Pieter SIlver Status
(18,309 points)
asked in Mathematics May 8, 2021
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What is a north-star online product metric?
1 answer 51 views
What is a north-star online product metric?What is a north-star online product metric? ...
by MathsGee Platinum
(106,844 points)
asked in Data Science & Statistics Mar 25, 2021
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Why do scientists prefer the SI units over the old English system of measurement?
0 answers 82 views
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Are SI units the same as metric units?
0 answers 84 views
Are SI units the same as metric units?Are SI units the same as metric units? ...
by MathsGee Platinum
(106,844 points)
asked in Physics Sep 15, 2020
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What is the most frequent metric to assess model accuracy for classification problems?
0 answers 84 views
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Why is Area Under ROC Curve (AUROC) better than raw accuracy as an out-of- sample evaluation metric?
0 answers 101 views
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