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Page "Equation of state" ¶ 58
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Other and modern
Other Flexowriter characters that were found a use in Atlas Autocode were: in floating-point numbers, e. g. for modern ; to mean " the second half of an Atlas memory word "; for the mathematical pi number.
Other modern picoammeters use log compression and a " current sink " method that eliminates range switching and associated voltage spikes.
Other temples in this style are Banteay Samre and Thommanon in the area of Angkor, and Phimai in modern Thailand.
Other invertebrate groups, including rudists ( reef-building clams ) and inoceramids ( giant relatives of modern scallops ), also became extinct at the K – T boundary.
Other modern applications of the cane toad include pregnancy testing, as pets, laboratory research, and the production of leather goods.
Other modern conservative beliefs include opposition to a world government and skepticism about the importance or validity of various environmental issues.
Other contemporary machines such as the PDP-11, and practically all modern architectures, allow for immediate loads, although many such as ARM restrict the range of values that can be loaded immediately.
Other variants include chair fencing, one-hit épée ( one of the five events which constitute modern pentathlon ) and the various types of non-Olympic competitive fencing.
Other popular modern coins include the Austrian Vienna Philharmonic bullion coin and the Chinese Gold Panda.
Other sources of scrap lead, such as recovered bullets, lead cable sheathing, lead pipe, or even lead – acid battery plates, ( EXTREME caution should be used as modern battery components, when melted can yield hazardous, even deadly gases ) can yield usable lead with some degree of effort, including purification and measuring of hardness.
Other sources parse this as hog-un-naa and give the modern Manx form as Hob dy naa.
Other basic immune mechanisms evolved in ancient eukaryotes and remain in their modern descendants, such as plants and insects.
Other authors, like Oruch, have also claimed that the modern customs of Saint Valentine's Day originate from Lupercalia customs, again without proof.
Other modern tests described by Bane include those by Williams ( which concluded that longbows could not penetrate maille, but in Bane's view did not use a realistic arrow tip ), Robert Hardy's tests ( which achieved broadly similar results to Bane ), and a Primitive Archer test which demonstrated that a longbow could penetrate a plate armour breastplate.
Other components such as external storage, controllers for video display and sound, and peripheral devices may be attached to the motherboard as plug-in cards or via cables, in modern computers it is increasingly common to integrate some of these peripherals into the motherboard itself.
Other sources give the modern formula.
Other duties associated with modern policing, such as investigating crimes, were left to the citizens themselves.
Other mods like Weapons Factory Arena have moved to more modern commercial engines.
Other reasons might be the reintroduction of popular characters, resolution of errors in chronology, the updating of a familiar series for modern audiences, or simplification of an excessively complex continuity structure.
Other modern translations include those by: James Winny, Helen Cooper, W. S. Merwin, Marie Borroff, Jacob Rosenberg, William Vantuono, Joseph Glaser and Bernard O ' Donoghue.
Other experiments include, for instance, relativistic energy and momentum increase at high velocities, time dilation of moving particles, and modern searches for Lorentz violations.
Other philosophers have suggested that theodicy is a modern discipline because deities in the ancient world were often imperfect.
Other political ideas have also influenced Turkish politics and modern history.
Other variations of modern spellings include Tallinna in Finnish and Та ́ ллин in Russian.

Other and equations
Other representations of the Cauchy – Riemann equations occasionally arise in other coordinate systems.
Other types of differential equations can be used to define the evolution rule:
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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