List questions from maxima-minima

Published on 10 Apr 2026 - 19:34

105

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Find the point P.

Published on 14 Apr 2026 - 20:11

91

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Characterization of circular flow

Published on 12 Apr 2026 - 0:05

102

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Show that $x_i\leq \max{x_0,x_n,0}$, discrete maximum principle

Published on 15 Apr 2026 - 6:13

147

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The minimizer of $\sup \{ |x^3+ax^2+bx+c| | x \in [0, 4] \}$ for $a,b,c \in \mathbb{R}$

Published on 15 Apr 2026 - 12:35

80

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Finding the maximum value of area of triangle PXY as X varies.

Published on 10 Apr 2026 - 16:29

87

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Is there a third-order analogy of quasi-convexity?

Published on 12 Apr 2026 - 17:56

46

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Constrained optimisation of function with nonzero gradient

Published on 15 Apr 2026 - 16:04

379

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Why are monotonicity and convexity so intensely studied in comparison to their higher-order analogies?

Published on 12 Apr 2026 - 22:50

100

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A cubic polynomial in $n$ variables has at most one strict local minimum.

Published on 12 Apr 2026 - 20:46

822

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How many strict local minima a quartic polynomial in two variables might have?

Published on 16 Apr 2026 - 19:27

55

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At how many isolated points in $\Bbb R^n$ might the distance of a quadratic polynomial $p:\Bbb R^n\to \Bbb R$ from 0 be locally maximized?

Published on 17 Apr 2026 - 2:32

68

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How many strict local maxima the function $|p(x)|$ might have for any cubic polynomial $p:\Bbb R^n\to \Bbb R$?

Published on 13 Apr 2026 - 17:53

131

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How to find min of $\sqrt{x^2+4x+8}+\sqrt{x^2-6x+10}$ without differentiation

Published on 15 Apr 2026 - 0:17

46

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determine maxima or minima of $f(x,y)$

Published on 16 Apr 2026 - 8:59

List Question

How could I write this statement about local extrema with more rigour?

Find the point P.

Characterization of circular flow

Show that $x_i\leq \max{x_0,x_n,0}$, discrete maximum principle

The minimizer of $\sup \{ |x^3+ax^2+bx+c| | x \in [0, 4] \}$ for $a,b,c \in \mathbb{R}$

Finding the maximum value of area of triangle PXY as X varies.

Is there a third-order analogy of quasi-convexity?

Constrained optimisation of function with nonzero gradient

Why are monotonicity and convexity so intensely studied in comparison to their higher-order analogies?

A cubic polynomial in $n$ variables has at most one strict local minimum.

How many strict local minima a quartic polynomial in two variables might have?

At how many isolated points in $\Bbb R^n$ might the distance of a quadratic polynomial $p:\Bbb R^n\to \Bbb R$ from 0 be locally maximized?

How many strict local maxima the function $|p(x)|$ might have for any cubic polynomial $p:\Bbb R^n\to \Bbb R$?

How to find min of $\sqrt{x^2+4x+8}+\sqrt{x^2-6x+10}$ without differentiation

determine maxima or minima of $f(x,y)$

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