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Other and representations
Other states with large representations in the student body are Michigan, Pennsylvania, Illinois, and Ohio.
Other knowledge representations are trees, graphs and hypergraphs, by means of which the connections among fundamental concepts and derivative concepts can be shown.
Other numbers have standard representations in base-φ, with rational numbers having recurring representations.
Other representations may show her holding a golden arrow, reminding one of the " eros ", the feeling that she inspires in everybody, and at times she is accompanied by the god Eros, holding a torch.
In both these representations, Jane was shown as being a political tool in the hands of her husband's uncle, the Duke of Norfolk, although the presentation of her in The Other Boleyn Girl was more sympathetic.
Other signed number representations require a more complex adder.
Other pro bono initiatives include asylum, Violence Against Women Act petitions, criminal appeals and art law representations.
Other representations attracting wide exposure have included Jeb Stuart Magruder during the Watergate period ; President Richard Nixon ’ s close confidant Bebe Rebozo ; Oscar Wyatt ; Clifford Irving ; and on an international level, among others, Philippines General Fabian Ver.
( Other columns at the same level also feed into a given column, and serve mostly to inhibit the activiation exclusive representations.
Other leading figures of the Amarna period, both royal and otherwise, are also shown with some of these features, suggesting a possible religious connotation, especially as some sources suggest that private representations of Akhenaten, as opposed to official art, show him as quite normal.
Other projects that have functionality related to ( or competing with ) binary representations include:
Other displays show data at varying levels of resolution, from whole karyotypes down to text-based representations of DNA and amino acid sequences, or present other types of display such as trees of similar genes ( homologues ) across a range of species.
Other important developments have been made by Caroline Howarth in linking Social identity theory with the theory of social representations, by Gerard Duveen in elaborating developmental aspects in relation to the micro-genesis of social representations of gender, and by Wolfgang Wagner in fathoming the relationship between discursive processes, collective behaviour patterns and the construction of social representations.

Other and Cauchy
Other examples of distributions that are not exponential families are the F-distribution, Cauchy distribution, hypergeometric distribution and logistic distribution.
Other examples of unimodal distributions include Cauchy distribution, Student's t-distribution and chi-squared distribution.

Other and
Realism, reprinted in: Truth and Other Enigmas, Harvard University Press: 1978, pp. 145 165.
Platonism, reprinted in: Truth and Other Enigmas, Harvard University Press: 1978, pp. 202 214.
* 1904 The first international rugby league match is played between England and an Other Nationalities team ( Welsh & Scottish players ) in Central Park, Wigan, England.
Other well-known Berg compositions include the Lyric Suite ( 1926 ), which was later shown to employ elaborate cyphers to document a secret love affair ; the extraordinarily elaborate post-Mahlerian Three Pieces for Orchestra ( completed in 1915 but not performed until after Wozzeck ); and the Chamber Concerto ( Kammerkonzert, 1923 25 ) for violin, piano and 13 wind instruments: this latter is written so conscientiously that Pierre Boulez has called it " Berg's strictest composition " and it, too, is permeated by cyphers and posthumously disclosed hidden programs.
Other specialized cycloadditions include multicomponent reactions such as alkyne trimerisation to give aromatic compounds and the cycloaddition of an alkyne, alkene and carbon monoxide in the Pauson Khand reaction.
Other Arab mathematicians who studied amicable numbers are al-Majriti ( died 1007 ), al-Baghdadi ( 980-1037 ), and al-Fārisī ( 1260 1320 ).
Other campaigns in central Palestine ( 9: 1 27 )
( Other scholars suggest that chapters 55 66 were written by Deutero-Isaiah after the fall of Babylon.
Other notable 17th-century outbreaks were the Italian Plague ( 1629 1631 ); the Great Plague of Seville ( 1647 1652 ); the Great Plague of London ( 1665 1666 ); and the Great Plague of Vienna ( 1679 ).
Other areas damaged during World War II bombing included: in September 1940 two unexploded bombs hit the Edward VII galleries, the King's Library received a direct hit from a high explosive bomb, incendiaries fell on the dome of the Round Reading Room but did little damage ; on the night of 10 to 11 May 1941 several incendiaries fell on the south west corner of the Museum, destroying the book stack and 150, 000 books in the courtyard and the galleries around the top of the Great Staircase this damage was not fully repaired until the early 1960s.
Other images ( like the Hubble Deep Field not pictured ) detect far more stars.
Some of these configurations lead to inflation … Other configurations lead to a uniform, flat universe directly without inflation.
Other claimants included the United States, whose American Guano Mining Company claimed it under the Guano Islands Act of 1856 ; Mexico also claimed Clipperton due to activities undertaken there as early as 1848 1849.
Other complications continued to stall the EU negotiating process, most notably Slovenia's blockade of Croatia's EU accession in 2008 2009.
Other prion diseases include Gerstmann Sträussler Scheinker syndrome ( GSS ), fatal familial insomnia ( FFI ) and kuru in humans, as well as bovine spongiform encephalopathy ( BSE, commonly known as mad cow disease ) in cattle, chronic wasting disease ( CWD ) in elk and deer, and scrapie in sheep.
Other invertebrate groups, including rudists ( reef-building clams ) and inoceramids ( giant relatives of modern scallops ), also became extinct at the K T boundary.
Other Biblical passages that some interpret as addressing the issue of homosexual behavior include Romans 1, I Corinthians 6: 8 10, and Jude 1: 7 ; the relevant portion of Romans 1 reads as follows:
* 1976 The United Nations General Assembly adopts the Convention on the Prohibition of Military or Any Other Hostile Use of Environmental Modification Techniques.
Other languages that use the ergative case are Georgian, Chechen, and other Caucasian languages, Mayan languages, Mixe Zoque languages, Wagiman and other Australian Aboriginal languages as well as Basque, Burushaski, Hindi, Yaghnobi and Tibetan.
Other examples include ⟨ ph ⟩ pronounced ( which is usually spelt ⟨ f ⟩), and ⟨ ch ⟩ pronounced ( which is usually spelt ⟨ c ⟩ or ⟨ k ⟩) the use of these spellings for these sounds often mark words that have been borrowed from Greek.
Other theories existed, including the Greek philosopher Anaxamines ' ( 585 526 BCE ) beliefs that short incline episodes of dryness and wetness caused seismic activity.

Other and Riemann
Other famous conjectures include the Collatz conjecture and the Riemann hypothesis.
Other theorists, such as Leonhard Euler ( 1739 ), Hermann von Helmholtz ( 1863 / 1885 ), Arthur von Oettingen ( 1866 ), Hugo Riemann ( who should not be confused with the famous mathematician Bernhard Riemann ), and Christopher Longuet-Higgins ( 1978 ) have modeled pitch relationships using two-dimensional ( or higher-dimensional ) lattices, under the name of Tonnetz.

Other and equations
Other types of differential equations can be used to define the evolution rule:
Other modern equations of only slightly greater complexity are much more accurate.
Other important functional equations for the gamma function are Euler's reflection formula
Other famous problems on his list include the Poincaré conjecture, the P = NP problem, and the Navier-Stokes equations, all of which have been designated Millennium Prize Problems by the Clay Mathematics Institute.
Other important contributions to mathematics that he made involved discontinuous functions and divergent series, differential equations, interpolation, the gamma function and elliptic functions.
Except for the Dym equation and the Ginzburg Landau equation, the above equations are linear in the sense that they can be written in the form Au = f for a given linear operator A and a given function f. Other important non-linear equations include the Navier Stokes equations describing the flow of fluids, and Einstein's field equations of general relativity.
Other methods include examining the characteristics and using the methods outlined above for ordinary differential equations.
Other important mathematical physicists of the seventeenth century included the Dutchman Christiaan Huygens ( famous for having suggested the wave theory of light ), and the German Johannes Kepler ( Tycho Brahe's assistant who discovered the equations for planetary motion ).
Other equations in the family are obtained by substituting specific expressions for the three correction factors, P < sub > F </ sub > and λ < sub > Z </ sub > it contains.
Other much studied periodic one-dimensional equations are the Kronig Penney model and Mathieu's equation.
Other equations in physics, such as Gauss's law of the electric field and Gauss's law for gravity, have a similar mathematical form to the continuity equation, but are not usually called by the term " continuity equation ", because j in those cases does not represent the flow of a real physical quantity.
Other 11-dimensional theories are known that are quantum-mechanically inequivalent to the CJS theory, but classically equivalent ( that is, they reduce to the CJS theory when one imposes the classical equations of motion ).
Other useful equations are:
Other, self-acknowledged ASTROLOGERS also use mathematical equations of celestial phenomena to make future predictions, using past historical data to guide them in what will happen the next time the same planetary aspects are formed.
Other key advances in automatic controls include differential equations, stability theory and system theory ( 1938 ), frequency domain analysis ( 1940 ), ship control ( 1950 ), and stochastic analysis ( 1941 ).
Other mathematics included in Śrīpati's work includes, in particular, rules for the solution of simultaneous indeterminate equations of the first degree that are similar to those given by Brahmagupta
Other techniques include the path integration that draws on the analogy between statistical physics and quantum mechanics ( for example, the Fokker-Planck equation can be transformed into the Schrödinger equation by rescaling a few variables ) or by writing down ordinary differential equations for the statistical moments of the probability distribution function.
Other equations that appear are Euler's identity and P = NP which is a reference to the famous P vs NP problem, and similarly contradicts the general belief that in fact P ≠ NP.
Other possible sources are Poincaré's Science and Hypothesis, where he described the Principle of Relativity and which was read by Einstein in 1904, and the writings of Max Abraham, from whom he borrowed the terms " Maxwell-Hertz equations " and " longitudinal and transverse mass ".
Other equations relating to adsorption exist, such as the Temkin equation or the Freundlich equation.
Other techniques include linearization, solving simultaneous equations, reducing dimensions, treating the problem as a time series, converting the problem to a ( hopefully ) linear differential equation, and using mean values.

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