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Recent questions tagged sets


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Give an illustration of Data, Data Sets, Elements, Variables, and Observations
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Let \(S_{N}:=1+\frac{1}{2}+\cdots+\frac{1}{N}\). Find an estimate for \(N\) so that \(S_{N}>100\).
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Let \(A: \mathbb{R}^{n} \rightarrow \mathbb{R}^{k}\) be a linear map defined by the matrix \(A\).
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Let \(A: \mathbb{R}^{n} \rightarrow \mathbb{R}^{k}\) be a linear map defined by the matrix \(A\).Let \(A: \mathbb{R}^{n} \rightarrow \mathbb{R}^{k}\) be a linear map defined by the matrix \(A\). If the matrix \(B\) satisfies the relation \(\langle ...
by MathsGee Platinum
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asked in Mathematics Jan 21
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Let \(U \subset V\) and \(W\) be finite dimensional linear spaces and \(L: V \rightarrow W\) a linear map. Show that
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Let \(U \subset V\) and \(W\) be finite dimensional linear spaces and \(L: V \rightarrow W\) a linear map. Show thatLet \(U \subset V\) and \(W\) be finite dimensional linear spaces and \(L: V \rightarrow W\) a linear map. Show that \ \operatorname{dim}\left(\left. ...
by MathsGee Platinum
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asked in Mathematics Jan 21
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Which of the following sets of vectors are bases for \(\mathbb{R}^{2} ?\)
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Which of the following sets of vectors are bases for \(\mathbb{R}^{2} ?\)Which of the following sets of vectors are bases for \(\mathbb{R}^{2} ?\) a). \(\{(0,1),(1,1)\}\) d). \(\{(1,1),(1,-1)\}\) b). \(\{(1,0),(0,1),(1,1)\ ...
by MathsGee Platinum
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asked in Mathematics Jan 20
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Evaluate \(\frac{d}{d x} f(x)\) using the rules for differentiation: \[ f(x)=-\frac{1}{2} x^{4}-2 x^{3}+\frac{1}{2} \sqrt{x^{5}} \]

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Find \(h^{\prime}(x)\) using the rules for differentiation: \[ h(x)=2 x^{2}+4 x-1 \]
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Given: \[ a=\frac{1}{2} y^{3}+5 y+2 \] Determine \(\frac{d}{d y} a\) using the rules for differentiation.

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Calculate \(h^{\prime}(y)\) for: \[ h(y)=-8 y^{3}-7 y^{2}+y^{1,5}+3 y^{0,8} \]
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Find \(D_{x} h(x)\) using the rules for differentiation: \[ h(x)=6 x^{4}-6 x^{3}-5 x^{2} \]
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Find \(\frac{d}{d x} f(x)\) using the rules for differentiation: \[ f(x)=-3 x^{2}-6 x+6 \]
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Prove that \(A \cup A=A\)
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Prove that \(A \cup A=A\)Prove that \(A \cup A=A\) ...
by MathsGee Platinum
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asked in Mathematics Jan 8
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When are two sets disjoint?
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When are two sets disjoint?When are two sets disjoint? ...
by Pieter SIlver Status
(18,455 points)
asked in Data Science & Statistics Dec 16, 2021
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What are the main sets of numbers in mathematics?
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What are the main sets of numbers in mathematics?What are the main sets of numbers in mathematics? ...
by MathsGee Platinum
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asked in Mathematics Jul 29, 2021
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How can I express the different sets of numbers as subsets of bigger sets like real numbers?
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How can I express the different sets of numbers as subsets of bigger sets like real numbers?How can I express the different sets of numbers as subsets of bigger sets like real numbers? ...
by MathsGee Platinum
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asked in Mathematics Jul 29, 2021
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Can integers be written as rational numbers?
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Can integers be written as rational numbers? Write each of the following as a rational number. 7 0 -8 ...
by MathsGee Platinum
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asked in Mathematics Jul 29, 2021
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What is the relationship between sets, subsets and intervals?
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Deduce that the choice $a_{2}=1-a_{1}$ gives $E[T]=\mu$ In this case prove that the variance of $T$ is a minimum if $a_{1}=a_{2}=\frac{1}{2}$.
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$\frac{3}{4}+\frac{1}{6}+\frac{5}{8}=?$
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$\frac{3}{4}+\frac{1}{6}+\frac{5}{8}=?$$\frac{3}{4}+\frac{1}{6}+\frac{5}{8}=?$ ...
by MathsGee Platinum
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asked in Mathematics May 30, 2021
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Determine whether each of the following sets is countable or uncountable.
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Determine whether each of the following sets is countable or uncountable.Determine whether each of the following sets is countable or uncountable. a. $A=\{x \in \mathbb{Q} \mid-100 \leq x \leq 100\}$ b. $B=\{(x, y) \mid x ...
by Student SIlver Status
(10,398 points)
asked in Mathematics May 22, 2021
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