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...

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...

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

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

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...

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...

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...

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...

\ldots ,x_{n},f)} , where C {\displaystyle C} is a (not necessarily stable) curve with n {\displaystyle n} marked points x 1 , … , x n {\displaystyle...

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"...

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

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

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

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...

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

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...

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

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...

Stokols, Eli (April 19, 2020). "How Trump let the U.S. fall behind the curve on coronavirus threat". Los Angeles Times. Retrieved November 27, 2024....

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

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...

exhibit stable necks because molecular orientation provides a mechanism for hardening that predominates at large strains. Stress–strain curve Trace necking...

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...

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...

The rotation curve of a disc galaxy (also called a velocity curve) is a plot of the orbital speeds of visible stars or gas in that galaxy versus their...

operating point of a system is the intersection point of the torque-speed curve of drive and machine. Both devices are linked with a shaft so the speed...

curves, named after its inventor Paul de Casteljau. De Casteljau's algorithm can also be used to split a single Bézier curve into two Bézier curves at...

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...