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Find largest possible value of $x^2+y^2$ given that $x^2+y^2=2x-2y+2$

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#optimization #circles #maxima-minima #non-convex-optimization #qcqp
3.5k
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any local minimum of a convex function is a global minimum over a convex set

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#optimization #convex-analysis #proof-explanation #convex-optimization #maxima-minima
126
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How to find the monoticity of the following function

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#calculus #maxima-minima
58
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Finding the maxima of a given function

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#multivariable-calculus #maxima-minima #dimensional-analysis
56
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Critical point of a multivariable function

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#multivariable-calculus #partial-derivative #maxima-minima #extreme-value-theorem
169
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Maximum of a product of absolute values

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#functions #optimization #absolute-value #maxima-minima #a.m.-g.m.-inequality
720
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Examples for $\max\{f(x)+g(x)\}\leq \max{f(x)}+ \max{g(x)}$ and $\min\{f(x)+g(x)\}\geq\min{f(x)}$+min{g(x)}.

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#functions #graphing-functions #examples-counterexamples #maxima-minima
87
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How do we determine whether we are getting the minimum value or the maximum value of a function using lagrange...

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#lagrange-multiplier #maxima-minima #a.m.-g.m.-inequality
161
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Find the minimum value of $|x+1|+2|x-5|+|2x-7|+|\frac{x-11}{2}|$

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#systems-of-equations #maxima-minima #absolute-value
1.1k
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what is the best approximation of minimum value of $e^{-x}\sin(100x)$

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#functions #maxima-minima
75
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Minimum value for a multiplication in an equation with 2 variables

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#linear-algebra #elementary-number-theory #optimization #maxima-minima #a.m.-g.m.-inequality
1k
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About a simplified version of Sion's minimax theorem.

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#real-analysis #reference-request #maxima-minima
80
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How do you calculate the minimum values of $f(x)=\frac{x^2+7/4}{\sqrt{x^2+3/4}}$?

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#algebra-precalculus #functions #maxima-minima
296
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Inequality Proof in Real Numbers: If $p+q=1$ then $pq\le\frac14$

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#algebra-precalculus #inequality #real-numbers #maxima-minima
266
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Prove sup, inf max and min of set

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#proof-writing #supremum-and-infimum #maxima-minima

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