👉 In mathematics, a function is said to be convex if it is concave on the interior of its domain and concave at its endpoints. This means that as one variable approaches the other, the value of the function increases without bound. In other words, a function is defined as convex if the graph of the function lies entirely above or below the x-axis and does not cross it. For example, consider the function f(x) = 3x^2 - 5x + 4
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What is the definition of Convexness? 🙋
👉 Convexity, in mathematics and optimization theory, refers to a property of functions or sets that is related to the concept of "concavity." It means that if we consider the points on the graph of the function where it changes concavity (i.e., from increasing to decreasing or vice versa), then these points form an arc which lies entirely below the curve. This property is crucial in optimization problems because it allows us to define regions around a maximum or minimum point, and to determine whether a
What is the definition of Convexana? 🙋
👉 Convexity is a property of geometric shapes that describes how they are shaped in relation to each other, such as when two or more lines intersect at right angles. This property ensures that the sum of the areas of the regions enclosed by these lines equals the area of the original shape.
