# Recent questions tagged functional

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Let $A$ be a positive definite $n \times n$ real matrix, $\vec{b}$ a real vector, and $\vec{N}$ a real unit vector.
Let $A$ be a positive definite $n \times n$ real matrix, $\vec{b}$ a real vector, and $\vec{N}$ a real unit vector.Let $A$ be a positive definite $n \times n$ real matrix, $\vec{b}$ a real vector, and $\vec{N}$ a real unit vector. a) For which value(s) of t ...
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Let $\vec{x}$ and $\vec{p}$ be points in $\mathbb{R}^{n}$. Under what conditions on the scalar $c$ is the set $\|\vec{x}\|^{2}+2\langle\vec{p}, \vec{x}\rangle+c=0$
Let $\vec{x}$ and $\vec{p}$ be points in $\mathbb{R}^{n}$. Under what conditions on the scalar $c$ is the set $\|\vec{x}\|^{2}+2\langle\vec{p}, \vec{x}\rangle+c=0$a) Let $\vec{x}$ and $\vec{p}$ be points in $\mathbb{R}^{n}$. Under what conditions on the scalar $c$ is the set \ \|\vec{x}\|^{2}+2\langle\v ...
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Let $A$ be a positive definite $n \times n$ real matrix, $b \in \mathbb{R}^{n}$, and consider the quadratic polynomial $Q(x):=\frac{1}{2}\langle x, A x\rangle-\langle b, x\rangle$Let $A$ be a positive definite $n \times n$ real matrix, $b \in \mathbb{R}^{n}$, and consider the quadratic polynomial \ Q(x):=\frac{1}{2}\lang ...
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Let $\ell$ be any linear functional. Show there is a unique vector $v \in \mathbb{R}^{n}$ so that $\ell(x):=\langle x, v\rangle$.
Let $\ell$ be any linear functional. Show there is a unique vector $v \in \mathbb{R}^{n}$ so that $\ell(x):=\langle x, v\rangle$.LINEAR FUNCTIONALS In $R^{n}$ with the usual inner product, a linear functional $\ell:$ $\mathbb{R}^{n} \rightarrow \mathbb{R}$ is just a line ...
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Let $A: \mathbb{R}^{\ell} \rightarrow \mathbb{R}^{n}$ and $B: \mathbb{R}^{k} \rightarrow \mathbb{R}^{\ell}$.
Let $A: \mathbb{R}^{\ell} \rightarrow \mathbb{R}^{n}$ and $B: \mathbb{R}^{k} \rightarrow \mathbb{R}^{\ell}$.Let $A: \mathbb{R}^{\ell} \rightarrow \mathbb{R}^{n}$ and $B: \mathbb{R}^{k} \rightarrow \mathbb{R}^{\ell}$. Prove that $\operatorname{rank} A+\o ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Let \(V$ be a vector space and $\ell: V \rightarrow \mathbb{R}$ be a linear map.
Let $V$ be a vector space and $\ell: V \rightarrow \mathbb{R}$ be a linear map.Let $V$ be a vector space and $\ell: V \rightarrow \mathbb{R}$ be a linear map. If $z \in V$ is not in the nullspace of $\ell$, show that ever ...
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What is a functional group in chemistry?
What is a functional group in chemistry?What is a functional group in chemistry? ...
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What is a functional group in chemistry?
What is a functional group in chemistry?What is a functional group &nbsp;in chemistry? ...
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What is functional principal components analysis?
What is functional principal components analysis?What is functional principal components analysis? ...
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A functional group of the form R-NH2 is what type of compound?
A functional group of the form R-NH2 is what type of compound?A functional group of the form R-NH2 is what type of compound? ...
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Which spectroscopic technique is most useful for identification of bonding patterns and functional groups in molecules?
Which spectroscopic technique is most useful for identification of bonding patterns and functional groups in molecules?Which spectroscopic technique is most useful for identification of bonding patterns and functional groups in molecules? ...
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What are some of the hats that a Data Science leader wears to ensure the team is functional?
What are some of the hats that a Data Science leader wears to ensure the team is functional?What are some of the hats that a Data Science leader wears to ensure the team is functional? ...
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How can I Master Functional Programming in Scala Online?
How can I Master Functional Programming in Scala Online?How can I Master &nbsp;Functional Programming in Scala Online? ...
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How do managers identify the key skills required to fill essential roles of a functional data science team, based on varying organizational goals?
How do managers identify the key skills required to fill essential roles of a functional data science team, based on varying organizational goals?How do managers identify the key skills required to fill essential roles of a functional data science team, based on varying organizational goals? ...
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What is the difference between a unit test and a functional/integration test?