Outrageously Funny Word Dictionary :: Degenerate

👉 In mathematics, a "degenerate" or "non-degenerate" set is one for which there are two possibilities. In other words, if you have a set $\mathcal{S}$ and you define $x \in \mathcal{S}$ to be degenerate if it satisfies certain conditions, then the set of all possible values of $x$ will satisfy those conditions as well. For example, consider the set $\{1, 2\}$. This is considered a

degenerates

👉 In mathematics, a degenerate curve or surface is a type of geometric object that has only one (or at most two) end points. This means that it can be defined by specifying the coordinates of these points and the corresponding equations for the curve or surface. For example: - A circle with center at (0, 0, 0) and radius r has degenerate form: \(x^2 + y^2 = r^2\). - A plane in three dimensions is

degenerateness

👉 A term that describes a mathematical concept where a function is not defined at a particular point, or in a region where the limit does not exist. This means that for any value of x, there exists no corresponding y-value for which the function f(x) = g(x) is defined. For example, consider the function: f(x) = 2x^3 - 4x + 1 This function has a singularity at x=0 because the limit as x approaches

degenerately

👉 In mathematics, a degenerate curve is a type of curve that has only one or a few branches. These curves are not considered to be regular or continuous, and they can have singularities at specific points. For example, consider a circle in the plane with radius 1. If we take the limit as this circle approaches some point on the circle (say, the origin), we see that the curve is degenerate because it has only one branch at each endpoint of the circle. This type

degenerated

👉 In mathematics, a degenerate curve or surface is a geometric object that has one-dimensional topology. This means it looks like a line segment when viewed from above (or below) and in one direction only (like a circle). However, when viewed from another direction, such as the x-axis, y-axis, or z-axis, it can look like an ellipse, a parabola, or even a hyperbola. This is because the curve has more than two dimensions but does not have

degenerate