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Cusp
A cusp is the most pointed end of a curve. It often refers to cusp (anatomy), a pointed structure on a tooth. Cusp or CUSP may also refer to: Mathematics * Cusp (singularity), a singular point of a curve * Cusp catastrophe, a branch of bifurcation theory in the study of dynamical systems * Cusp form, in modular form theory * Cusp neighborhood, a set of points near a cusp * Cuspidal representation, a generalization of cusp forms in the theory of automorphic representations Science and medicine * Beach cusps, a pointed and regular arc pattern of the shoreline at the beach * Behavioral cusp, a change in behavior with far-reaching consequences * Caltech-USGS Seismic Processing, software for analyzing earthquake data * Center for Urban Science and Progress, a graduate school of New York University focusing on urban informatics * CubeSat for Solar Particles, a satellite launched in 2022 * Cusp (anatomy), a pointed structure on a tooth ** Nuclear cusp condition, in electron density * ...
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Cusp Conference
Cusp Conference is an annual gathering of thinkers, innovators, creators, visionaries and explorers from the arts, sciences, technology, business and design. The program is eclectic by design, intended to provoke cross-pollination of ideas and generate new thinking, in 25 or more presentations over two days. A conference "about the design of everything" created and hosted by design firm ''Multiple Inc.'' (formerly ) and held at the Museum of Contemporary Art Theater in Chicago, Cusp is centered on the idea that virtually everything that exists has been designed - by humans, by nature or by some other force. Cusp Conference presenters have touched on topics as diverse as landscape waste, contemporary dance, electric vehicles, democracy, social media, education, intellectual property law, medicine, virtual worlds, typography, green architecture, evolutionary biology, smell and taste and serious games. History Launched in 2008, Cusp Conference presenters and performers have include ...
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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 two cusps, is also known as the bicuspid valve, and the tricuspid valve has three cusps. In humans A cusp is an occlusal or incisal eminence on a tooth. Canine teeth, otherwise known as cuspids, each possess a single cusp, while premolars, otherwise known as bicuspids, possess two each. Molars normally possess either four or five cusps. In certain populations the maxillary molars, especially first molars, will possess a fifth cusp situated on the mesiolingual cusp known as the Cusp of Carabelli. Buccal Cusp- One other variation of the upper first premolar is the 'Uto-Aztecan' upper premolar. It is a bulge on the buccal cusp that is only found in Native American Indians, with highest frequencies of occurrence in Arizona. The name is no ...
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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 two cusps, is also known as the bicuspid valve, and the tricuspid valve has three cusps. In humans A cusp is an occlusal or incisal eminence on a tooth. Canine teeth, otherwise known as cuspids, each possess a single cusp, while premolars, otherwise known as bicuspids, possess two each. Molars normally possess either four or five cusps. In certain populations the maxillary molars, especially first molars, will possess a fifth cusp situated on the mesiolingual cusp known as the Cusp of Carabelli. Buccal Cusp- One other variation of the upper first premolar is the 'Uto-Aztecan' upper premolar. It is a bulge on the buccal cusp that is only found in Native American Indians, with highest frequencies of occurrence in Arizona. The name is no ...
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Cusp (film)
''Cusp'' is a 2021 American documentary film directed and produced by Isabel Bethencourt and Parker Hill. It follows three teenage girls at the end of summer. The film premiered at the 2021 Sundance Film Festival, and was released on Showtime on November 26, 2021. Synopsis Three teenage girls in Texas confront the dark corners of adolescence at the end of summer. Release The film had its world premiere at the Sundance Film Festival on January 30, 2021. In April 2021, Showtime Documentary Films acquired distribution rights to the film. It was released on Showtime on November 26, 2021. Reception ''Cusp'' received positive reviews from film critics. It holds a 90% approval rating on review aggregator website Rotten Tomatoes, based on 21 reviews, with a weighted average The weighted arithmetic mean is similar to an ordinary arithmetic mean (the most common type of average), except that instead of each of the data points contributing equally to the final average, some data poin ...
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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 defined by an analytic, parametric equation :\begin x &= f(t)\\ y &= g(t), \end a cusp is a point where both derivatives of and are zero, and the directional derivative, in the direction of the tangent, changes sign (the direction of the tangent is the direction of the slope \lim (g'(t)/f'(t))). Cusps are ''local singularities'' in the sense that they involve only one value of the parameter , in contrast to self-intersection points that involve more than one value. In some contexts, the condition on the directional derivative may be omitted, although, in this case, the singularity may look like a regular point. For a curve defined by an implicit equation :F(x,y) = 0, which is smooth, cusps are points where the terms of lowest degree ...
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Cusp (novel)
''Cusp'' is a 2005 hard science fiction novel by American writer Robert A. Metzger. It deals with two perpendicular rings running along the Earth's surface that act as cosmic jets using ionized hydrogen. In this universe, the fusion of organic and non-organic material is an everyday thing. Multiple characters are portrayed in the story, and it is told from a third-person narrative. Literary significance and reception Carl Hays reviewing for ''Booklist'' magazine said that "Metzger’s background as a telecommunications scientist enables a brilliant, sprawling vision of humanity in the late twenty-first century." ''Kirkus Reviews ''Kirkus Reviews'' (or ''Kirkus Media'') is an American book review magazine founded in 1933 by Virginia Kirkus (1893–1980). The magazine is headquartered in New York City. ''Kirkus Reviews'' confers the annual Kirkus Prize to authors of fic ...'' was mixed in their coverage saying that ''Cusp'' was "Overcomplicated by several orders of magnitu ...
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Beach Cusps
Beach cusps are shoreline formations made up of various grades of sediment in an arc pattern. The horns are made up of coarser material and the embayment contains finer sediment. They can be found all over the world and are most noticeable on shorelines with coarser sediment such as pebble beaches. However, they can occur with sediment of any size. They nearly always occur in a regular pattern with cusps of equal size and spacing appearing along stretches of the shoreline. These cusps are most often a few metres long. However, they may reach across. Although the origin of beach cusps has yet to be proven, once cusps have been created they are a self-sustaining formation. This is because when an oncoming wave hits the horn of a beach cusp, it is split and forced into two directions. The crashing of the wave into the cusps slows its velocity, causing coarser sediment to fall out of suspension and be deposited on the horns. The waves then flow along the embayments (picking up fin ...
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Behavioral Cusp
A behavioral cusp is any behavior change that brings an organism's behavior into contact with new contingencies that have far-reaching consequences. A behavioral cusp is a special type of behavior change because it provides the learner with opportunities to access new reinforcers, new contingencies, new environments, new related behaviors (generativeness) and competition with archaic or problem behaviors. It affects the people around the learner, and these people agree to the behavior change and support its development after the intervention is removed. The concept has far reaching implications for every individual, and for the field of developmental psychology, because it provides a behavioral alternative to the concept of maturation and change due to the simple passage of time, such as developmental milestones. The cusp is a behavior change that presents special features when compared to other behavior changes. History The concept was first proposed by Sidney W. Bijou, an ...
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Cusp Neighborhood
In mathematics, a cusp neighborhood is defined as a set of points near a cusp singularity. Cusp neighborhood for a Riemann surface The cusp neighborhood for a hyperbolic Riemann surface can be defined in terms of its Fuchsian model. Suppose that the Fuchsian group ''G'' contains a parabolic element g. For example, the element ''t'' ∈ SL(2,Z) where :t(z)=\begin 1 & 1 \\ 0 & 1 \end:z = \frac = z+1 is a parabolic element. Note that all parabolic elements of SL(2,C) are conjugate to this element. That is, if ''g'' ∈ SL(2,Z) is parabolic, then g=h^th for some ''h'' ∈ SL(2,Z). The set :U=\ where H is the upper half-plane has :\gamma(U) \cap U = \emptyset for any \gamma \in G - \langle g \rangle where \langle g \rangle is understood to mean the group generated by ''g''. That is, γ acts properly discontinuously on ''U''. Because of this, it can be seen that the projection of ''U'' onto H/''G'' is thus :E = U/ \langle g \rangle. Here, ''E'' is called the neighborho ...
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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 characterized by sudden shifts in behavior arising from small changes in circumstances, analysing how the qualitative nature of equation solutions depends on the parameters that appear in the equation. This may lead to sudden and dramatic changes, for example the unpredictable timing and magnitude of a landslide. Catastrophe theory originated with the work of the French mathematician René Thom in the 1960s, and became very popular due to the efforts of Christopher Zeeman in the 1970s. It considers the special case where the long-run stable equilibrium can be identified as the minimum of a smooth, well-defined potential function (Lyapunov function). In the late 1970s, applications of catastrophe theory to areas outside its scope began to b ...
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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 group by the vanishing of the constant coefficient ''a''0 in the Fourier series expansion (see ''q''-expansion) :\sum a_n q^n. This Fourier expansion exists as a consequence of the presence in the modular group's action on the upper half-plane via the transformation :z\mapsto z+1. For other groups, there may be some translation through several units, in which case the Fourier expansion is in terms of a different parameter. In all cases, though, the limit as ''q'' → 0 is the limit in the upper half-plane as the imaginary part of ''z'' → ∞. Taking the quotient by the modular group, this limit corresponds to a cusp of a modular curve (in the sense of a point added for compactification). So, the definition amounts to saying that a cusp ...
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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 possible for the Sun to straddle the cusp as it moves across the sky. When this occurs at the moment of birth such a person is said to be "born on the cusp" and some believe that their life is influenced by the characteristics of both signs. For example, if an individual was born when the Sun (by convention the point at the centre of the Solar disc) was located at 29 degrees, 50 minutes Gemini, then one might say that he was born on the cusp of Gemini and Cancer Cancer is a group of diseases involving abnormal cell growth with the potential to invade or spread to other parts of the body. These contrast with benign tumors, which do not spread. Possible signs and symptoms include a lump, abnormal b .... Much of the Solar disc was actu ...
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