# Recent questions tagged inequality

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Let $A$ and $B$ be $n \times n$ matrices.
Let $A$ and $B$ be $n \times n$ matrices.Let $A$ and $B$ be $n \times n$ matrices. a) Show that the $\operatorname{rank}(A B) \leq \operatorname{rank}(A)$. Give an example where stric ...
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Solve the inequality $\frac{7}{3}<\frac{p}{3}$
Solve the inequality $\frac{7}{3}<\frac{p}{3}$Solve the inequality $\dfrac{7}{3}&lt;\dfrac{p}{3}$ ...
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Verify that the Cauchy-Schwarz inequality holds. $\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)$
Verify that the Cauchy-Schwarz inequality holds. $\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)$Verify that the Cauchy-Schwarz inequality holds. (b) $\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)$ ...
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Verify that the Cauchy–Schwarz inequality holds for $\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)$
Verify that the Cauchy–Schwarz inequality holds for $\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)$Verify that the Cauchy&amp;ndash;Schwarz inequality holds for $\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)$ ...
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Verify that the Cauchy–Schwarz inequality holds for $\mathbf{u}=(4,1,1), \mathbf{v}=(1,2,3)$
Verify that the Cauchy–Schwarz inequality holds for $\mathbf{u}=(4,1,1), \mathbf{v}=(1,2,3)$Verify that the Cauchy&amp;ndash;Schwarz inequality holds for $\mathbf{u}=(4,1,1), \mathbf{v}=(1,2,3)$ ...
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Verify that the Cauchy–Schwarz inequality holds for $\mathbf{u}=(1,2,1,2,3), \mathbf{v}=(0,1,1,5,-2)$
Verify that the Cauchy–Schwarz inequality holds for $\mathbf{u}=(1,2,1,2,3), \mathbf{v}=(0,1,1,5,-2)$Verify that the Cauchy&amp;ndash;Schwarz inequality holds for $\mathbf{u}=(1,2,1,2,3), \mathbf{v}=(0,1,1,5,-2)$ ...
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What does the Theorem of Pythagoras in $R^n$ state?
What does the Theorem of Pythagoras in $R^n$ state?What does the Theorem of Pythagoras in $R^n$ state? ...
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Prove Chebyschev’s inequality
Prove Chebyschev’s inequalityProve Chebyschev&amp;rsquo;s inequality (Chebyschev's inequality). Let $X$ be a random variable. Then \ P(|X-E X|&gt;\epsilon) \leq \frac{\operato ...
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Prove Markov’s inequality.
Prove Markov’s inequality.Prove (Markov's inequality). Suppose $X$ is a nonnegative random variable and $a \in$ is a positive constant. Then \ P(X \geq a) \leq \frac{E X} ...
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Describe income inequality and poverty and the policies to reduce them.
Describe income inequality and poverty and the policies to reduce them.Describe income inequality and poverty and the policies to reduce them. ...
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Prove that, for all values of $x$, $x^{2}+4 x+12>x+3$
Prove that, for all values of $x$, $x^{2}+4 x+12>x+3$Prove that, for all values of $x$, \ x^{2}+4 x+12&gt;x+3 \ ...
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Prove the Prohorov inequality
Prove the Prohorov inequalityProve the Prohorov inequality ...
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Prove Kolmogorov's inequality
Prove Kolmogorov's inequalityProve Kolmogorov's inequality ...
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Prove the Bennett inequality
Prove the Bennett inequalityProve the Bennett inequality ...
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State the Prohorov inequality
State the Prohorov inequalityState the Prohorov inequality ...
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State Kolmogorov's inequality
State Kolmogorov's inequalityState Kolmogorov's inequality ...
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State the Hoeffding inequality for bounded independent random variables
State the Hoeffding inequality for bounded independent random variablesState the Hoeffding inequality for bounded independent random variables ...
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State Bennett's inequality
State Bennett's inequalityState Bennett's inequality ...
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Solve $\frac{x}{2}+\frac{x}{3}=5$
Solve $\frac{x}{2}+\frac{x}{3}=5$Solve $\dfrac{x}{2}+\dfrac{x}{3}=5$ ...
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Solve $2(x-1)>3(2 x+3)$
Solve $2(x-1)>3(2 x+3)$Solve $2(x-1)&gt;3(2 x+3)$ ...
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In the following problem, $b$, and $c$. REAL NUMBERS. The derivative of $g(x)=\log _{a}(b x)+c x^{2}$ is:
In the following problem, $b$, and $c$. REAL NUMBERS. The derivative of $g(x)=\log _{a}(b x)+c x^{2}$ is: In the following problem, $b$, and $c$. REAL NUMBERS.The derivative of $g(x)=\log _{a}(b x)+c x^{2}$ is: \(g^{\prime}(x)=&nbsp;\dfrac{b ...
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Show that if $(\partial N / \partial x-\partial M / \partial y) /(x M-y N)$ depends only on the product $x y$, that is
Show that if $(\partial N / \partial x-\partial M / \partial y) /(x M-y N)$ depends only on the product $x y$, that isShow that if $(\partial N / \partial x-\partial M / \partial y) /(x M-y N)$ depends only on the product $x y$, that is  \frac{\partial N / \partial ...
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What is the Schwartz theorem?
What is the Schwartz theorem?What is the Schwartz theorem? ...
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What is the generalized mean inequality ?