* Hyperbolic sector

Hyperbolic geometry is the most prevalent geometry in this picture and also the most complicated.

* Hyperbolic absolute risk aversion ( HARA ) is the most general class of utility functions that are usually used in practice ( specifically, CRRA ( constant relative risk aversion, see below ), CARA ( constant absolute risk aversion ), and quadratic utility all exhibit HARA and are often used because of their mathematical tractability ).

Following the appearance of Cell, Gohan is taken to the Hyperbolic Time Chamber ( Room Of Spirit ) and trained by Goku.

Following Gohan's emergence from the Hyperbolic Time Chamber, Gohan is depicted as a Super Saiyan, with Piccolo shown thinking to himself that he barely recognized him before granting Gohan's request to give him an outfit resembling his own. After Goku surrenders from his match with Cell, he recommends Gohan to be Cell's next opponent.

Nevertheless, the Weinberg form is consistent with Hyperbolic quaternions, a forerunner of Minkowski space.

Hyperbolic n-space, denoted H < sup > n </ sup >, is the maximally symmetric, simply connected, n-dimensional Riemannian manifold with constant sectional curvature − 1.

Hyperbolic space is the principal example of a space exhibiting hyperbolic geometry.

Hyperbolic 2-space, H², is also called the hyperbolic plane.

Hyperbolic space, developed independently by Lobachevsky and Bolyai, is a geometrical space analogous to Euclidean space, but such that Euclid's parallel postulate is no longer assumed to hold.

This extension is the main tool of Complex Hyperbolic Geometry.

** Hyperbolic space with the canonical metric is Einstein with negative k.

The fifth paper is " Elliptic and Hyperbolic Analysis " which considers the spherical law of cosines as the fundamental theorem of the sphere, and proceeds to analogues for the ellipsoid of revolution, general ellipsoid, and equilateral hyperboloids of one and two sheets, where he provides the hyperbolic law of cosines.

Hyperbolic discounting is a particular mathematical model devised as an improvement over exponential discounting.

Hyperbolic discounting is shown to value future assets higher than exponential discounting.

Hyperbolic discounting is mathematically described as:

Hyperbolic and provocative, even incendiary, rhetoric is another aspect of African-American oral tradition often evident in the pulpit in a tradition sometimes referred to as " prophetic speech.

Hyperbolic motion is the motion of an object with constant proper acceleration in special relativity.

Hyperbolic motion is easily visualized on a Minkowski diagram, where the motion of the accelerating particle is along the-axis.

Each triangle group is the symmetry group of a tiling of the Euclidean plane, the sphere, or the Hyperbolic plane by congruent triangles, a fundamental domain for the action, called a Möbius triangle.

* Hyperbolic equilibrium point p is a fixed point, or equilibrium point, of f, such that ( Df )< sub > p </ sub > has no eigenvalue with absolute value 1.

Hyperbolic functions occur in the solutions of some important linear differential equations, for example the equation defining a catenary, of some cubic equations, and of Laplace's equation in Cartesian coordinates.

Hyperbolic coordinates plotted on the Cartesian plane: u in blue and v in red.

: < math > 1 / p + 1 / q + 1 / r < 1 </ math >: Hyperbolic plane

Ol ' shanskii ( 1996 ) " Hyperbolic groups and their quotients of bounded exponents ," Trans.

Hyperbolic functions were introduced in the 1760s independently by Vincenzo Riccati and Johann Heinrich Lambert.

It was spurred by the 1987 monograph of Gromov " Hyperbolic groups " that introduced the notion of a hyperbolic group ( also known as word-hyperbolic or Gromov-hyperbolic or negatively curved group ), which captures the idea of a finitely generated group having large-scale negative curvature, and by his subsequent monograph Asymptotic Invariants of Inifinite Groups, that outlined Gromov's program of understanding discrete groups up to quasi-isometry.

Taimina's way of exploring hyperbolic space via crochet and connections with nature, combatting math phobia, was adapted by Margaret Wertheim in her talks and became highly successful in the IFF-curated Hyperbolic Crochet Coral Reef project.

* " Golden Eggs and Hyperbolic Discounting " ( 1997 ), by David Laibson

The term was coined by Ralf Aurich, Sven Lustig, Frank Steiner, and Holger Then in their paper Hyperbolic Universes with a Horned Topology and the CMB Anisotropy.

Hyperbolic motions are in fact taken from inversive geometry: these are mappings composed of reflections in a line or a circle ( or in a hyperplane or a hypersphere for hyperbolic spaces of more than two dimensions ).

Hyperbolic navigation systems can be divided into two main classes, those that calculate the time difference between two radio pulses, and those that compare the phase difference between two continuous signals.

In 1900 Alexander published " Hyperbolic Quaternions " with the Royal Society in Edinburgh, and included a sheet of nine figures, two of which display conjugate hyperbolas.

Parabolic trajectory | Parabolic ( 1 ) and Hyperbolic trajectory | hyperbolic ( 3 ) orbits are escape velocity | escape orbits, whereas elliptical and circle | circular orbits ( 2 ) are captive.

* Hyperbolic spaces: By the hyperboloid model, an n dimensional hyperbolic space can be identified with the subset of ( n + 1 )- dimensional Minkowski space

: Hyperbolic trajectory-An " orbit " with eccentricity greater than 1.

Hyperbolic trig arguments were always assumed to be in radians regardless of the setting of the degree / radian ( D / R ) mode switch.

Taimina's book " Crocheting Adventures with Hyperbolic Planes " ( A K Peters, Ltd., 2009, ISBN 978-1-56881-452-0 ) won the 2009 Bookseller / Diagram Prize for Oddest Title of the Year.

Hyperbolic refers to something related to or in shape of hyperbola ( a type of curve ), or to something employing the literary device of hyperbole ( overstatement or plausible exaggeration ).

Mr. Claude is a specialist in torso development and he has long favored the now-famous Weider Push-Pull Super-Set technique in which one exercise of the Super-Set is a pressing or `` pushing '' movement which accents one sector of a muscle group in a specific way, followed by a `` pulling '' exercise which works the opposing sector of the same muscle group.

The transducer itself moves the beam in a sector scan, just like a radar antenna, while the entire transducer structure is moved over a 90-degree arc in front of the eye to `` look into '' all corners.

The total picture is only seen by the camera which integrates the many sector scans over the entire 90-degree rotation period.

The society is likely to be characterized by having a fairly modernized urban sector and a relatively untouched rural sector, with very poor communications between the two.

The entrance to a church has been walled up, so that the congregation, most of which is in the western sector, cannot worship God there anymore.

However, during the January to September 2010 period, the sector experienced a 5. 2 percent year-on-year decrease, which according to the Civilitas Foundation is an indication of the unsustainability of a sector based on an elite market, with few products for the median or low budgets.

The single stated goal of the " Armenian Compact " is " the reduction of rural poverty through a sustainable increase in the economic performance of the agricultural sector.

The global economic crisis has had less impact on imports because the sector is more diversified than exports.

Since 2007, the Kelheim Berufsschule has had a campus in Abensberg, and outside the state sector is the St. Francis Vocational Training Centre, run by a Catholic youth organisation.

The agricultural sector is one of the most heavily regulated sectors in the U. S. economy, as it is regulated in various ways at the international, federal, state, and local levels.

This is the reason behind the trend towards outsourcing in the financial sector.

In the industrial sector, a common UAT is a " Factory Acceptance Test " ( FAT ).

Its economy is primarily based on the service sector, encompassing a diverse range of creative industries, media corporations, and convention venues.

The national labour-force is estimated at 12, 770, of whom approximately 59. 4 % work in the service sector but less than 0. 6 % are estimate to work in agriculture ( the balance in industry ).

The manufacturing sector is confined to some light industry, which is mainly involved in processing primary products and the cow production of consumer goods.

Benin ’ s financial sector is dominated by banks, and in general remains shallow.

The microfinance sector is also subject to supervision through the Central Bank as well as the responsible Ministry for Microfinance and Employment of Youth and Women.

The industrial sector is technologically backward, with most production of the cottage industry type.