# Recent questions tagged spaces

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When are bases in Euclidean vector spaces V (Rⁿ or Cⁿ) topologically stable?
1 answer 31 views
When are bases in Euclidean vector spaces V (Rⁿ or Cⁿ) topologically stable?When are bases in Euclidean vector spaces V (Rⁿ or Cⁿ) &nbsp;topologically stable? ...
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Let $f: N \rightarrow Y$ be a function defined as
1 answer 43 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 ...
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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 50 views
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.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 interv ...
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0 answers 29 views
Let $A$ and $B$ be metric spaces, and let $f: A \rightarrow B$. Suppose that whenever $X$ is an open set in $B$, the set $\{a \in A: f(a) \notin X\}$ is closed in $A .$ Which of the following must be true?Let $A$ and $B$ be metric spaces, and let $f: A \rightarrow B$. Suppose that whenever $X$ is an open set in $B$, the set $\{a \in A: f(a) \notin X\}$ ...
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How do I quantify chance in Finite Sample Spaces with Equally Likely Outcomes?
1 answer 72 views
How do I quantify chance in Finite Sample Spaces with Equally Likely Outcomes?How do I quantify chance in Finite Sample Spaces with Equally Likely Outcomes? ...
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Give examples of random statistical experiments and their sample spaces
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Give examples of random statistical experiments and their sample spacesGive examples of random statistical experiments and their sample spaces ...
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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 ...
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Does the Pythagorean theorem generalize to arbitrary inner product spaces?
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Does the Pythagorean theorem generalize to arbitrary inner product spaces?Does the Pythagorean theorem generalize to arbitrary inner product spaces? ...
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What are normed spaces?
1 answer 51 views
What are normed spaces?What are normed spaces? ...
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Vector spaces can contain other vector spaces. If $V$ is a vector space, then $S \subseteq V$ is said to be a subspace of $V$ if
1 answer 48 views
Vector spaces can contain other vector spaces. If $V$ is a vector space, then $S \subseteq V$ is said to be a subspace of $V$ ifVector spaces can contain other vector spaces. If $V$ is a vector space, then $S \subseteq V$ is said to be a subspace of $V$ if ...
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What are vector spaces?
1 answer 38 views
What are vector spaces?What are vector spaces? ...
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What is an event in probability?
1 answer 111 views
What is an event in probability?What is an event in probability? ...
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In probability what is an event with respect to sample spaces?
0 answers 64 views
In probability what is an event with respect to sample spaces?In probability what is an event with respect to sample spaces? ...
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If you jumped on a project and they used tabs and you used spaces, what would you do?
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If you jumped on a project and they used tabs and you used spaces, what would you do?If you jumped on a project and they used tabs and you used spaces, what would you do? ...
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