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Hypograph of a function. In mathematics, the hypograph or subgraph of a function: is the set of points lying on or below its graph.A related definition is that of such a function's epigraph, which is the set of points on or above the function's graph.
Epigraph of a function A function (in black) is convex if and only if the region above its graph (in green) is a convex set.This region is the function's epigraph. In mathematics, the epigraph or supergraph [1] of a function: [,] valued in the extended real numbers [,] = {} is the set = {(,) : ()} consisting of all points in the Cartesian product lying on or above the function's graph. [2]
The Minkowski difference (also Minkowski subtraction, Minkowski decomposition, or geometric difference) [1] is the corresponding inverse, where () produces a set that could be summed with B to recover A. This is defined as the complement of the Minkowski sum of the complement of A with the reflection of B about the origin. [2]
graph of a data set, where x = value in column A and y = value in column B; graph of a sequence. graph of an integer sequence; graph of an array data structure; graph of a list (abstract data type) graph of a data set, where x = row # and y = value in column (scatter plot; bar graph, etc.; histogram) Therefore its best title is, simply, Graph.
As CBS News noted, if you were to buy a 1-ounce gold bar, you’d likely pay a bigger per-ounce markup than if you bought 10 ounces. But Don’t Necessarily Sell in Bulk
Though typically not measured by pounds, seeing as 12 troy ounces equals a troy pound, and taking the current value of an ounce of gold as of Oct. 26, 2023, into account, a 1-pound gold bar would ...
According to The New York Times, 1-oz, 24-karat gold bars are available for purchase by Costco members only, for a price that varies according to market rates. ... gold’s value is up nearly 16% ...
A function is convex if and only if its epigraph, the region (in green) above its graph (in blue), is a convex set.. Let S be a vector space or an affine space over the real numbers, or, more generally, over some ordered field (this includes Euclidean spaces, which are affine spaces).