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Verify that the Cauchy-Schwarz inequality holds. (a) \(\mathbf{u}=(-3,1,0), \mathbf{v}=(2,-1,3)\) (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 $\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)$
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Verify that the Cauchy–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 $\mathbf{u}=(1,2,1,2,3), \mathbf{v}=(0,1,1,5,-2)$
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What does the Theorem of Pythagoras in $R^n$ state?
1 answer 6 views
What does the Theorem of Pythagoras in $R^n$ state?What does the Theorem of Pythagoras in $R^n$ state? ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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Prove Chebyschev’s inequality
1 answer 28 views
Prove Chebyschev’s inequalityProve Chebyschev’s inequality (Chebyschev's inequality). Let \(X\) be a random variable. Then \ P(|X-E X|>\epsilon) \leq \frac{\operato ...
by MathsGee Platinum
(103,030 points)
asked in Data Science & Statistics Dec 15, 2021
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Prove Markov’s inequality.
1 answer 43 views
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} ...
by MathsGee Platinum
(103,030 points)
asked in Data Science & Statistics Dec 15, 2021
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Describe income inequality and poverty and the policies to reduce them.
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Prove that, for all values of \(x\), \[ x^{2}+4 x+12>x+3 \]
1 answer 27 views
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 \ ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Nov 9, 2021
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Prove the Prohorov inequality
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Prove Kolmogorov's inequality
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Prove Kolmogorov's inequalityProve Kolmogorov's inequality ...
by MathsGee Platinum
(103,030 points)
asked in Data Science & Statistics Sep 21, 2021
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Prove the Bennett inequality
1 answer 28 views
Prove the Bennett inequalityProve the Bennett inequality ...
by MathsGee Platinum
(103,030 points)
asked in Data Science & Statistics Sep 21, 2021
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State the Prohorov inequality
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State the Prohorov inequalityState the Prohorov inequality ...
by MathsGee Platinum
(103,030 points)
asked in Data Science & Statistics Sep 21, 2021
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State Kolmogorov's inequality
1 answer 22 views
State Kolmogorov's inequalityState Kolmogorov's inequality ...
by MathsGee Platinum
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asked in Data Science & Statistics Sep 21, 2021
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State the Hoeffding inequality for bounded independent random variables
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State Bennett's inequality
1 answer 18 views
State Bennett's inequalityState Bennett's inequality ...
by MathsGee Platinum
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asked in Data Science & Statistics Sep 21, 2021
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Solve \(\frac{x}{2}+\frac{x}{3}=5\)
1 answer 34 views
Solve \(\frac{x}{2}+\frac{x}{3}=5\)Solve \(\dfrac{x}{2}+\dfrac{x}{3}=5\) ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Sep 13, 2021
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Solve \(2(x-1)>3(2 x+3)\)
1 answer 25 views
Solve \(2(x-1)>3(2 x+3)\)Solve \(2(x-1)>3(2 x+3)\) ...
by Siyavula Bronze Status
(7,016 points)
asked in Mathematics Sep 11, 2021
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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:
1 answer 53 views
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)= \dfrac{b ...
by MathsGee Platinum
(103,030 points)
asked in Mathematics Aug 31, 2021
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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
1 answer 38 views
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 ...
by Siyavula Bronze Status
(7,016 points)
asked in Mathematics Aug 27, 2021
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What is the Schwartz theorem?
1 answer 35 views
What is the Schwartz theorem?What is the Schwartz theorem? ...
by MathsGee Platinum
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asked in Mathematics Aug 17, 2021
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What is the generalized mean inequality ?
1 answer 61 views
What is the generalized mean inequality ?What is the generalized mean inequality ? ...
by MathsGee Platinum
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asked in Mathematics Aug 17, 2021
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What does Wirtinger's Inequality state?
1 answer 38 views
What does Wirtinger's Inequality state?What does  Wirtinger's Inequality  state? ...
by MathsGee Platinum
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asked in Mathematics Aug 17, 2021
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State the triangle inequality or Minkowski inequality
1 answer 35 views
State the triangle inequality or Minkowski inequalityState the triangle inequality or Minkowski inequality ...
by Maths Genie Bronze Status
(5,338 points)
asked in Mathematics Aug 9, 2021
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State the Schwartz inequality or Cauchy-Schwartz inequality
1 answer 67 views
State the Schwartz inequality or Cauchy-Schwartz inequalityState the Schwartz inequality or Cauchy-Schwartz inequality ...
by Maths Genie Bronze Status
(5,338 points)
asked in Mathematics Aug 9, 2021
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