In algebraic geometry, a stable curve is an algebraic curve that is asymptotically stable in the sense of geometric invariant theory. This is equivalent...

"boundary" points which correspond to stable nodal curves (together with their isomorphisms). A curve is stable if it is complete, connected, has no singularities...

This leads to the notion of a stable curve of genus g ≥ 2 {\displaystyle g\geq 2} , a not-necessarily-smooth complete curve with no terribly bad singularities...

The Phillips curve is an economic model, named after Bill Phillips, that correlates reduced unemployment with increasing wages in an economy. While Phillips...

A Bézier curve (/ˈbɛz.i.eɪ/ BEH-zee-ay, French pronunciation: [bezje]) is a parametric curve used in computer graphics and related fields. A set of discrete...

elliptic curve may be described more concretely as an elliptic curve that has bad reduction only of multiplicative type. Suppose E is an elliptic curve defined...

closures intersect. Example: (Deligne & Mumford 1969) A stable curve is a reduced connected curve of genus ≥2 such that its only singularities are ordinary...

mathematics, an affine algebraic plane curve is the zero set of a polynomial in two variables. A projective algebraic plane curve is the zero set in a projective...

Laffer curve illustrates a theoretical relationship between rates of taxation and the resulting levels of the government's tax revenue. The Laffer curve assumes...

mathematical function whose graph has a characteristic S-shaped or sigmoid curve. A common example of a sigmoid function is the logistic function, which...

domain of a stable map need not be a stable curve. However, one can contract its unstable components (iteratively) to produce a stable curve, called the...

The Bell Curve: Intelligence and Class Structure in American Life is a 1994 book by the psychologist Richard J. Herrnstein and the political scientist...

Bremmer's J Curve describes the relationship between a country's openness and its stability; focusing on the notion that while many countries are stable because...

curve is any of a variety of J-shaped diagrams where a curve initially falls, then steeply rises above the starting point. In economics, the "J curve"...

bundle to a stable rational curve f : C → X {\displaystyle f:C\to X} has globally generated sections. Geometrically this implies the curve is free to move...

and lowest vapor pressure in a distillation region. All residue curves end at stable nodes. Unstable node: This is the pure component or the azeotropic...

Mathematics: The Case of his Arithmetical Quadrature of Conic Sections and Related Curves". In Goldenbaum, Ursula; Jesseph, Douglas (eds.). Infinitesimal Differences:...

The Elephant Curve, also known as the Lakner-Milanovic graph or the global growth incidence curve, is a graph that illustrates the unequal distribution...

stable bundles of given rank and degree over a nonsingular curve is a quasiprojective algebraic variety. The cohomology of the moduli space of stable...

introduced this notion in 1969 when they proved that moduli spaces of stable curves of fixed arithmetic genus are proper smooth Deligne–Mumford stacks....

distributed. A normal distribution is sometimes informally called a bell curve. However, many other distributions are bell-shaped (such as the Cauchy,...

A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac...

first diagram. This is called the stable or convergent case. If the demand curve is steeper than the supply curve, then the fluctuations increase in...

curves Moduli stack of elliptic curves Moduli spaces of K-stable Fano varieties Modular curve Picard functor Moduli of semistable sheaves on a curve Kontsevich...

from region to region and then cooked without fat or oil on a slightly curved griddle called a tava. Tamang, J. P.; Fleet, G. H. (2009), "Yeasts Diversity...

peak of the light curve of SN1987A was provided by the decay of 56Ni to 56Co (half-life 6 days) while energy for the later light curve in particular fit...

chemical elements. Radioactive isotopes do not usually decay directly to stable isotopes, but rather into another radioisotope. The isotope produced by...

Diffusion-based image generators have seen widespread commercial interest, such as Stable Diffusion and DALL-E. These models typically combine diffusion models with...

In mathematics, a nilcurve is a pointed stable curve over a finite field with an indigenous bundle whose p-curvature is square nilpotent. Nilcurves were...

right. The type of resulting curve depends upon the value of H. If H < − g ℓ {\displaystyle H<-{\frac {g}{\ell }}} then no curve exists (because θ ˙ {\displaystyle...