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Norm and Matrix

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#matrices #normed-spaces #maxima-minima
204
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Find integer part of the maximum value of $x^4y+x^3y+x^2y+xy+xy^2+xy^3+xy^4$ for $x+y=3$

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#inequality #optimization #ceiling-and-floor-functions #maxima-minima #symmetric-polynomials
57
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How can I find the maximum value of $ f(t)=x*cos(t)+sin(t)*(wy*z-wz*y)+wx*(wx*x+wy*y+wz*z)*(1-cos(t))$;

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#ordinary-differential-equations #trigonometry #optimization #maxima-minima
207
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The maximum value of a trigonometric expression (without derivative)

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#trigonometry #maxima-minima
702
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Finding the maximum value of $f(x)=x+\sin x$ on $[0,4]$

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#calculus #derivatives #maxima-minima
161
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Find the minimum number of solutions of $g'(x)=0$

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#calculus #functions #maxima-minima
58
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How to optimize

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#optimization #convex-optimization #maxima-minima
489
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Find the value of maximize $B=ab+bc+ca-3abc$

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#inequality #maxima-minima
487
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$\min$ function properties

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#inequality #optimization #maxima-minima
146
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Assume that $1a_1+2a_2+\cdots+na_n=1$, where the $a_j$ are real numbers...

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#inequality #maxima-minima
2.7k
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Assume that $ 1a_1+2a_2+\cdots+20a_{20}=1, $ where the $a_j$ are real numbers and that these values minimize...

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#maxima-minima
2.5k
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Assume that $1a_1^2+2a_2^2+\cdots+na_n^2 = 1,$ where the $a_j$ are real numbers. As a function of $n$, what is the maximum value of...

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#maxima-minima
101
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Find the value of minimize $A=\sum_{cyc}\frac{x^4}{\left(x^2+y^2\right)\left(x+y\right)}$

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#inequality #maxima-minima #cauchy-schwarz-inequality #sum-of-squares-method
1k
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Local maximum definition

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#real-analysis #functional-analysis #maxima-minima
222
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Minimum value of $\left(a+\frac{1}{b}\right)^2+\left(b+\frac{1}{c}\right)^2+\left(c+\frac{1}{a}\right)^2$

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#inequality #optimization #maxima-minima #cauchy-schwarz-inequality #jensen-inequality

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