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Mathematical notation for the maximum of a set of function values
WEB$\begingroup$ I prefer $\max\{f(x_1,\ldots,f(x_n)\}$ with curly braces and no parentheses. In this instance, the parentheses don't actually help, and the curly braces remind you that the thing whose maximum is sought is a set rather than a tuple. $\endgroup$
Math.stackexchange.comWhat does max [] mean? - Mathematics Stack Exchange
WEBAug 21, 2011 · M (x) is a function. Taking the maximal number amongst the parameters. max {x1, x2} = {x1, if x1> x2 x2, otherwise. You can define like that the maximum of any finitely many elements. When the parameters are an infinite set of values, then it is implied that one of them is maximal (namely that there is a greatest one, unlike the set {− 1 n
Math.stackexchange.comWhat is the difference between $\\arg\\max$ and $\\max$?
WEB$\begingroup$ I feel like allowing $\arg\max f(x)$ to be either $\in \mathbb{R}$ or $\in \mathcal{P}(\mathbb{R})$ is a very troublesome definition.
Math.stackexchange.comprobability - Expected value of maximum of two random variables …
WEBGet the range of the required distribution, in this case, max(X, Y) Find the CDF of this distribution as a function of the known distributions Find the PDF of the distribution by differentiating the CDF
Math.stackexchange.comShow that the $\\max{ \\{ x,y \\} }= \\frac{x+y+|x-y|}{2}$.
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Math.stackexchange.comDerivative of max function - Mathematics Stack Exchange
WEBMay 11, 2020 · But let's take x = 2, then (1 - 2) ^ 2 will be (-1) ^2 which is nothing but 1 and according to op's max function, 1 should be returned. But since you gave the condition of x >= 1, we always return 0 even when x is something like 2. I think in comments what Andre Holzner said is correct.
Math.stackexchange.comExchanging max and expectation - Mathematics Stack Exchange
WEBE max ρ L (ρ, X) = max ρ E (L (ρ, X)). I can show that. Emaxρ L(ρ, X) ≥maxρ E(L(ρ, X)), E max ρ L (ρ, X) ≥ max ρ E (L (ρ, X)), for all L L and X X (using a proof very similar to that of the min-max theorem). However, I am not able to derive conditions under which the other inequality holds. Just to be sure: You mean concave in
Math.stackexchange.comShow that $\\max$ function on $\\mathbb R^n$ is convex
WEBSep 19, 2017 · One line proof: Since composition of convex functions is convex, we only need to show max (x, y) is convex. But max (x, y) = x + y 2 + | x − y 2 | and | ⋅ | is obviously convex. A function f: Rn → R is convex if and only if its epigraph epif = {(x, t) ∈ Rn × R ∣ f(x) ≤ t} is a convex set.
Math.stackexchange.comreal analysis - What do $\min{[f,g]}$ and $\max{[f,g]}$ mean in my
WEBI understand the basics of continuity and algebra of continuity of limits. So I add the picture of the proof such that it is in the book of Real Analysis.I would really appreciate if someone could explain it to me as simple as possible. I'm struggling to understand it, What do $\min{[f,g]}$ and $\max{[f,g]}$ mean? Thank you.
Math.stackexchange.comWhat is $\max $ and $ \min - Mathematics Stack Exchange
WEBAug 12, 2018 · The maximum of a totally ordered set is defined as an element that is greater than all the other elements. For example max(4, 9] = 9 max (4, 9] = 9 since 9 9 is in (4, 9] (4, 9] and is greater than all the other elements. …
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