A cusp is the most pointed end of a curve. It often refers to
cusp (anatomy)
A cusp is a pointed, projecting, or elevated feature. In animals, it is usually used to refer to raised points on the crowns of teeth.
The concept is also used with regard to the leaflets of the four heart valves. The mitral valve, which has ...
, a pointed structure on a tooth.
Cusp or CUSP may also refer to:
Mathematics
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Cusp (singularity)
In mathematics, a cusp, sometimes called spinode in old texts, is a point on a curve where a moving point must reverse direction. A typical example is given in the figure. A cusp is thus a type of singular point of a curve.
For a plane curve d ...
, a singular point of a curve
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Cusp catastrophe
In mathematics, catastrophe theory is a branch of bifurcation theory in the study of dynamical systems; it is also a particular special case of more general singularity theory in geometry.
Bifurcation theory studies and classifies phenomena chara ...
, a branch of bifurcation theory in the study of dynamical systems
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Cusp form In number theory, a branch of mathematics, a cusp form is a particular kind of modular form with a zero constant coefficient in the Fourier series expansion.
Introduction
A cusp form is distinguished in the case of modular forms for the modular gr ...
, in modular form theory
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Cusp neighborhood, a set of points near a cusp
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Cuspidal representation In number theory, cuspidal representations are certain representations of algebraic groups that occur discretely in L^2 spaces. The term ''cuspidal'' is derived, at a certain distance, from the cusp forms of classical modular form theory. In the c ...
, a generalization of cusp forms in the theory of automorphic representations
Science and medicine
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Beach cusps, a pointed and regular arc pattern of the shoreline at the beach
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Behavioral cusp, a change in behavior with far-reaching consequences
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Caltech-USGS Seismic Processing, software for analyzing earthquake data
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Center for Urban Science and Progress, a graduate school of New York University focusing on urban informatics
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CubeSat for Solar Particles, a satellite launched in 2022
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Cusp (anatomy)
A cusp is a pointed, projecting, or elevated feature. In animals, it is usually used to refer to raised points on the crowns of teeth.
The concept is also used with regard to the leaflets of the four heart valves. The mitral valve, which has ...
, a pointed structure on a tooth
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Cusps of heart valves, leaflets of a heart valve
* Nuclear cusp condition, in
electron density
Electron density or electronic density is the measure of the probability of an electron being present at an infinitesimal element of space surrounding any given point. It is a scalar quantity depending upon three spatial variables and is typical ...
Other uses
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Cusp (astrology)
In astrology, a cusp (from the Latin for spear or point) is the imaginary line that separates a pair of consecutive signs in the zodiac or houses in the horoscope.
Because the solar disc has a diameter of approximately half a degree, it is possi ...
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''Cusp'' (film), a 2021 American documentary following three teenage girls at the end of summer
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''Cusp'' (novel), a 2005 science fiction story by Robert A. Metzger
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Cusp Conference
Cusp Conference was an annual conference of people from the arts, sciences, technology, business and design.
The program was intended to provoke cross-pollination of ideas and generate new thinking, in 25 or more presentations over two days.
A co ...
, an annual gathering of thinkers, innovators, etc. from various fields
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Cusp generation, a name given to those born during the transitional years of two generations
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Concordia University, St. Paul
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