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 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 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.

Other branches of mathematics, however, such as logic, number theory, category theory or set theory are accepted as part of pure mathematics, though they find application in other sciences ( predominantly computer science and physics ).

Other units commonly used are Gaussian units ( based on the cgs system ), Lorentz – Heaviside units ( used mainly in particle physics ) and Planck units ( used in theoretical physics ).

Other spin-offs include research on advanced materials like SEAgel and Aerogel, the Electron-Beam Ion Trap facility for physics research, and enhanced techniques for early detection of breast cancer.

Other more subtle changes to the game include new physics to the ninja rope, and the removal of an in game glitch that allowed players to inflict huge damage to another worm, by aiming the mortar ( a common weapon with high ammo ) vertically above another player.

Other than the associated disciplines just mentioned, cognitive neuroscientists may have backgrounds in these disciplines: neurobiology, bioengineering, psychiatry, neurology, physics, computer science, linguistics, philosophy and mathematics.

Other fields of physics may have an influence on aeroelastic phenomena.

Other Spinozapremie winners are linguists Frederik Kortlandt and Pieter Muysken, mathematician Hendrik Lenstra, Carlo Beenakker, who works in the field of mesoscopic physics, Ewine van Dishoeck, astronomer at Leiden Observatory, transplantation biologist Els Goulmy, clinical epidemiologist Frits Rosendaal, Rien van IJzendoorn professor of education and child studies, physicist Jan Zaanen, archeologist Wil Roebroeks, neurologist Michel Ferrari, classicist Ineke Sluiter, social psychologist Naomi Ellemers and astronomers Marijn Franx and Xander Tielens.

Other examples, given by Feynman, are from educational research, psychology ( particularly parapsychology ), and physics.

Other notable concepts derived from the physics of FPS game engines are i. a.

Other works deal with topics such as astronomy, medicine, music, jurisprudence, physics, and laography.

Other movies, such as the Planet of the Apes series, explained their depictions of time travel by drawing on physics concepts such as the Special relativity phenomenon of time dilation ( which could occur if a spaceship was travelling near the speed of light ).

Other notable ISCID fellows include philosopher of religion Alvin Plantinga and physics professor and theologian Frank J. Tipler.

( Other familiar deformations in physics involve the deformation of classical Newtonian into relativistic mechanics, with deformation parameter v / c ; or the deformation of Newtonian gravity into General Relativity, with deformation parameter Schwarzschild-radius / characteristic-dimension.

Other small numbers are found in particle physics and quantum physics:

Other important features of the game engine are normal mapping and specular highlighting of textures, realistic handling of object physics, dynamic, ambient soundtrack, and multi-channel sound.

Other theories that combine aspects of digital physics with loop quantum gravity are those of Marzuoli and Rasetti and Girelli and Livine.

Other related subjects include physics and an integrating treatment of gravity, light, electricity, magnetism, and heat.

Other notable members of the Academy include Ekvtime Takaishvili ( history ), Shalva Nutsubidze ( philosophy ), Giorgi Tsereteli ( oriental studies ), Simon Kaukhchishvili ( classical philology ), Konstantine Gamsakhurdia ( literature ), Giorgi Melikishvili ( history ), Nikoloz Berdzenishvili ( history ), Revaz Dogonadze ( physics ), Malkhaz Abdushelishvili ( anthropology ), Guram Mchedlidze ( paleobiology ), and Levan Chilashvili ( archaeology )..

Other familiar deformations in physics involve the deformation of classical Newtonian into relativistic mechanics ( special relativity ), with deformation parameter v / c ; the classical limit involves small speeds, so v / c → 0, and the systems appear to obey Newtonian mechanics.

Other meanings of transduction apply to physics, physiology, machine learning and psychology.

Other uses of dipole magnets include isotope mass measurement in mass spectrometry, and particle momentum measurement in particle physics.

Other than sound fire safety precautions and some practical advice regarding the laws of physics ( i. e. " hot air rises "), there are few secrets to eating fire.