The Arrheniusequation is a simple, but remarkably accurate, formula for the temperature dependence of the reaction ... www.iupac.org goldbook A00446.pdf Arrheniusequation IUPAC Goldbook definition ref The equation was first ... processes reactions. A historically useful generalization supported by the Arrheniusequation is that, for many ... degree Celsius increase in temperature. Overview In short, the Arrheniusequation gives the dependence ... define a modified Arrheniusequation , ref http www.iupac.org goldbook M03963.pdf IUPAC Goldbook definition of modified Arrheniusequation ref that makes explicit the temperature dependence of the pre exponential factor. If one allows arbitrary temperature dependence of the prefactor, the Arrhenius ... . Taking the natural logarithm of the Arrheniusequation yields math ln k frac E a R frac 1 T ln A math So, when a reaction has a rate constant that obeys the Arrheniusequation, a plot of ln k ... partial ln k partial 1 T right P math Kinetic theory s interpretation of ArrheniusequationArrhenius ... very similar to the Arrheniusequation. Transition state theory Another Arrhenius like expression ... . See also Accelerated aging Arrhenius plot Eyring equation Q10 temperature coefficient Van t Hoff ... Using Arrheniusequation for calculating species solubility in polymers Category Chemical kinetics ... later in 1889, the Swedish chemist Svante Arrhenius provided a physical justification and interpretation ... goldbook A00102.pdf Arrhenius activation energy IUPAC Goldbook definition ref E sub a sub ... energy from experimental data becomes singular. The modified equation is usually of the form ... power. Clearly the original Arrhenius expression above corresponds to n 0. Fitted rate ... experiment such as density dependence , there is no obstacle to incisive tests of the Arrhenius ... takes the form of an Arrhenius exponential multiplied by a slowly varying function of T . The precise ... complex. Limitations of the idea of Arrhenius Activation Energy Both the Arrhenius activation ... more details
Arrhenius may refer to Carl Axel Arrhenius 1757 1824 , Swedish chemist and discoverer of the element yttrium Niklas Arrhenius , Swedish discus thrower Svante Arrhenius 1859 1927 , Swedish physical chemist and 1903 Nobel laureate Arrheniusequation , a formula for modeling the temperature dependence of reaction rate constant s. Arrhenius lunar crater , named for Svante Arrhenius 5697 Arrhenius , main belt asteroid, named for Svante Arrhenius Surname de Arrhenius es Arrhenius desambiguaci n fr Arrhenius no Arrhenius pt Arrhenius desambigua o sv Arrhenius ... more details
An Arrhenius plot displays the logarithm of kinetic constants math ln k math , ordinate axis plotted against inverse temperature math 1 T math , abscissa . Arrhenius plots are often used to analyze the effect of temperature on the rates of chemical reactions. For a single rate limited thermally activated process, an Arrhenius plot gives a straight line, from which the activation energy and the pre exponential factor can both be determined. style float right Example br Nitrogen dioxide decay center 2 NO sub 2 sub 2 NO O sub 2 sub center Image NO2 Arrhenius k against T.svg thumb Conventional plot br k against T Image NO2 Arrhenius lnk against T 1.svg thumb Arrhenius plot br ln k against 1 T The Arrheniusequation given in the form math k A e E a RT math can be written equivalently as math ln k ln A frac E a R left frac 1 T right math Where math k math Rate constant math A math Pre exponential factor math E a math Activation energy math R math Gas constant math T math Absolute temperature , K When plotted in the manner described above, the value of the y intercept will correspond to math ln A math , and the gradient of the line will be equal to math E a R math . The pre exponential factor, A, is a constant of proportionality that takes into account a number of factors such as the frequency of collision between and the orientation of the reacting particles. The expression math E a RT math represents the fraction of the molecules present in a gas which have energies equal to or in excess of activation energy at a particular temperature. See also Arrheniusequation Eyring equation Category Chemical kinetics Category Plots graphics de Arrheniusgraph ... more details
Klein Oskar Benjamin Klein known for Arrheniusequation br Dissociation chemistry Theory of ionic dissociation br Acid base reactions Arrhenius definition Acid base theory prizes nowrap Nobel Prize ... . The Arrheniusequation , Moon lunar Impact crater crater Arrhenius lunar crater Arrhenius and the Arrhenius Labs at Stockholm University are named after him. Biography Early years Arrhenius was born ...For the Lunar or Martian meteor craters Arrhenius crater Infobox scientist name Svante Arrhenius image ... August Arrhenius 19 February 1859 2 October 1927 was a Sweden Swedish scientist , originally a physicist ... Gustav and Carolina Thunberg Arrhenius. His father had been a surveying land surveyor for Uppsala University , moving up to a supervisory position. At the age of three, Arrhenius taught himself to read ... account books, became an arithmetic al child prodigy prodigy . In later life, Arrhenius enjoyed using ... material conductor , but solutions of salts in water are. Arrhenius explanation was that in forming ... Arrhenius proposed that, even in the absence of an electric current, solutions of salts ... was not very impressive to the professors at Uppsala, but Arrhenius sent it to a number ... came to Uppsala to persuade Arrhenius to join his research team. Arrhenius declined, however, as he ... an appointment at Uppsala. In an extension of his ion ionic theory Arrhenius proposed definitions .... Middle period Arrhenius next received a travel grant from the Swedish Academy of Sciences, which enabled ..., with Ludwig Boltzmann in Graz, Austria , and with van t Hoff in Amsterdam . In 1889 Arrhenius explained ... of activation energy , an energy barrier that must be overcome before two molecules will react. The Arrheniusequation gives the quantitative basis of the relationship between the activation energy ... daughters and a son. About 1900, Arrhenius became involved in setting up the Nobel Institutes and the Nobel ... and Rivalries That Made Modern Chemistry , Oxford University Press, 2008, ref In 1901 Arrhenius ... more details
Infobox Planet minorplanet yes width 25em bgcolour FFFFC0 apsis name Arrhenius symbol image caption discovery yes discovery ref discoverer Cornelis Johannes van Houten , Ingrid van Houten Groeneveld and Tom Gehrels discovery site Palomar Observatory discovered September 24, 1960 designations yes mp name 5697 alt names 6766 P L named after Svante Arrhenius mp category orbit ref epoch May 14, 2008 aphelion 3.3453724 perihelion 2.9451334 semimajor eccentricity 0.0636259 period 2037.4256990 avg speed inclination 13.69706 asc node 170.73264 mean anomaly 257.77820 arg peri 116.99899 satellites physical characteristics yes dimensions mass density surface grav escape velocity sidereal day axial tilt pole ecliptic lat pole ecliptic lon albedo 0.0774 temperatures temp name1 mean temp 1 max temp 1 temp name2 max temp 2 spectral type abs magnitude 12.0 5697 Arrhenius 6766 P L is a Asteroid belt main belt asteroid discovered on September 24, 1960 by Cornelis Johannes van Houten , Ingrid van Houten Groeneveld and Tom Gehrels at Palomar Observatory . External links http ssd.jpl.nasa.gov sbdb.cgi?sstr 5697 Arrhenius JPL Small Body Database Browser on 5697 Arrhenius MinorPlanets Navigator 5696 Ibsen 5698 Nolde MinorPlanets Footer DEFAULTSORT Arrhenius Category Main Belt asteroids Category Asteroids named for people Category Discoveries by Cornelis Johannes van Houten Category Discoveries by Ingrid van Houten Groeneveld Category Discoveries by Tom Gehrels Category Astronomical objects discovered in 1960 beltasteroid stub fa it 5697 Arrhenius hu 5697 Arrhenius pl 5697 Arrhenius pt 5697 Arrhenius ... more details
Niklas Arrhenius is a competitor in the discus throw who won the Swedish competition in this event in 2004 and 2006. He was also Sweden s discus competitor at the Athletics at the 2008 Summer Olympics Men s discus throw 2008 Summer Olympics . Arrhenius is the son of Anders Arrhenius who was a professional shot put competitor in Sweden. Niklas younger brother, Leif Arrhenius is also a thrower. Arrhenius was raised in Utah but has dual citizenship. He attended Brigham Young University where he was on the track and field team. Arrhenius is a The Church of Jesus Christ of Latter day Saints Latter day Saint . He served as an LDS missionary in the Sweden Stockholm Mission LDS Church Mission . Achievements AchievementTable colspan 5 Representing SWE 2006 2006 European Athletics Championships European Championships Gothenburg, Sweden 21th 2006 European Athletics Championships Men s discus throw 56.62 m 2008 Athletics at the 2008 Summer Olympics Olympic Games Beijing , PR China 32nd Athletics at the 2008 Summer Olympics Men s discus throw 58.22 m Personal bests Discus Throw 65.77 m 2007 Shot Put 19.75 2010 , 19.91 m indoor 2004 Niklas is also the former National High School Record Holder for the discus, with a throw of 234 3 breaking the previous record by nearly nine feet. References iaaf name id 176723 http mormontimes.com MITN sports.php?id 1824 Mormon Times , August 25th, 2008 http mormontimes.com MITN sports.php?id 1221 Mormon Times , June 2nd, 2008 Persondata Metadata see Wikipedia Persondata . NAME Arrhenius, Niklas ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1982 PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Arrhenius, Niklas Category 1982 births Category Living people Category Swedish discus throwers Category Olympic athletes of Sweden Category BYU Cougars ... Category High school national record holder sweden athletics bio stub fi Niklas Arrhenius sv Niklas Arrhenius ... more details
about equations in mathematics the chemistry term chemical equation NOTOC Image First Equation Ever.png thumb right 300px The first equation to ever be written in symbolic notation, by Robert Recorde in 1557 . In modern notation, the equation reads math 14x 15 71 math . An equation is a mathematics mathematical ... expressions . ref cite web url http dictionary.reference.com browse equation title Equation work Dictionary.com ... 3 isbn 0 691 11822 1 ref In this case, they can be equation solving solved to find the values that satisfy the equality. For example, consider the following. math x 2 x 0 ,. math The equation is true only for two values of x , the solutions of the equation. In this case, the solutions are math x 0 math and math x 1 math . Many mathematicians ref name Nahin reserve the term equation exclusively for the second ... x 1 , math is an equation with solutions math x 0 math and math x 1 math . Whether a statement is meant to be an identity or an equation can usually be determined from its context. In some cases, a distinction is made between the equality sign math math for an equation and the equivalence symbol math ... , a convention initiated by Ren Descartes Descartes . Properties If an equation in elementary algebra algebra is known to be true, the following operations may be used to produce another true equation ... solution s. For example, the equation y x x has 2 solutions y 1 and y 0. Dividing both sides by x simplifies the equation to y 1, but the second solution is lost. The algebraic properties ... numbers , which is an example of a field. However, if the equation were based on the natural ... sides of a true equation, then the resulting equation will still be true, but it may be less ... count 2 webkit column count 2 Cubic equation Differential equation Diophantine equation Formula editor Functional equation Indeterminate equation Inequality mathematics Inequality Inequation Integral equation Linear equation List of equations Quadratic equation Quartic equation Quintic equation Parametric ... more details
refimprove date August 2008 Lt. Carl Axel Arrhenius 1757 1824 was a Swedish chemist. He is most widely known as the discoverer of the element Yttrium . Arrhenius was born in Stockholm . He was interested in mineralogy and chemistry after he met Peter Jacob Hjelm at the Swedish Royal Mint laboratory. Arrhenius was a lieutenant at the Svea artilleriregemente stationed in Vaxholm he took part in the campaign in Finland in 1788. He was promoted to Feldzeugmeister and Lieutenant Colonel at the Svea artilleriregemente and was handed the command in 1816 of the manufacture of powder in the kingdom. His chemistry studies started at the Royal Mint s Kungliga Myntet laboratory, where he studied the characteristics of powder as an artillery officer. During his visit to Paris in 1787 88 he met Antoine Lavoisier , the father of modern chemistry , and upon his return to Sweden became an ardent defender of the revolutionary teachings in chemistry promoted by Antoine Lavoisier. During his time in Vaxholm he also visited the feldspar mine in Ytterby on the island of Resar n near Vaxholm. He found a dark mineral which he named ytterbite and sent to Johan Gadolin at the University of bo for further analysis. Arrhenius was a member of the Royal Swedish Academy of War Sciences from 1799 and of the Royal Swedish Academy of Sciences from 1817. External links http elements.vanderkrogt.net element.php?sym Y Yttrium BR Persondata Metadata see Wikipedia Persondata . NAME Arrhenius, Carl Axel ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1757 PLACE OF BIRTH sweden DATE OF DEATH 1824 PLACE OF DEATH DEFAULTSORT Arrhenius, Carl Axel Category 1757 births Category 1824 deaths Category People from Stockholm Category Swedish chemists Category Members of the Royal Swedish Academy of Sciences Sweden scientist stub chemist stub de Carl Axel Arrhenius it Carl Axel Arrhenius pt Carl Axel Arrhenius sv Carl Axel Arrhenius vi Carl Axel Arrhenius ... more details
lunar crater data latitude 55.6 N or S N longitude 91.3 E or W E diameter 40 km depth Unknown colong 269 eponym Svante Arrhenius Arrhenius is a moon lunar impact crater that is located just on the Far side Moon far side of the Moon , near the southwest limb. In this location the vicinity of the crater can be viewed during favorable libration s, although it is viewed from on edge. To the south southeast is the worn crater Blanchard crater Blanchard , and De Roy crater De Roy lies further to the west. The outer wall of Arrhenius has been somewhat worn and eroded due to a history of minor impacts, leaving the rim rounded and low. There is a knotch in the rim to the north northwest, and an outward bulge along the southeast face. A small craterlet lies across the southwestern rim. The inner floor is relatively flat and free of features of interest. The mid point lacks a central peak. Satellite craters By convention these features are identified on lunar maps by placing the letter on the side of the crater mid point that is closest to Arrhenius. class wikitable width 25 style background eeeeee Arrhenius width 25 style background eeeeee Latitude width 25 style background eeeeee Longitude width 25 style background eeeeee Diameter align center J align center 57.6 S align center 88.3 W align center 18 km The following craters have been renamed by the International Astronomical Union IAU . Arrhenius P &mdash See Blanchard crater . References Lunar crater references Category Impact craters on the Moon Moon crater stub da Arrhenius m nekrater de Arrhenius Mondkrater fr Arrhenius crat re lunaire sv Arrhenius m nkrater ... more details
Arrheniusequation is preferred with a phenomenological interpretation of the prefactor math ...Citation style The Eyring equation also known as Eyring Polanyi equation in chemical kinetics relates the reaction rate to temperature . It was developed almost simultaneously in 1935 by Henry Eyring , M.G. Evans and Michael Polanyi . This equation follows from the transition state theory aka , activated complex theory and is trivially equivalent to the empirical Arrheniusequation which are both readily derived from statistical thermodynamics in the kinetic theory kinetic theory of gases . ref Chapman & Enskog 1939 ref General form The general form of the Eyring Polanyi equation somewhat resembles the Arrheniusequation math k frac k mathrm B T h mathrm e frac Delta G Dagger RT math where G sup sup is the Gibbs free energy Gibbs energy of activation, k sub B sub is Boltzmann s constant , and h is Planck s constant . It can be rewritten as math k left frac k mathrm B T h right mathrm exp left frac Delta S ddagger R right mathrm exp left frac Delta H ddagger RT right math To find the linear form of the Eyring Polanyi equation math ln frac k T frac Delta H ddagger R cdot frac 1 T ln frac k mathrm B h frac Delta S ddagger R math where math k math reaction rate constant math T math absolute temperature math Delta H ddagger math enthalpy of activation math R math gas constant math k mathrm B math Boltzmann constant math h math Planck s constant math Delta S ddagger math entropy of activation A certain chemical reaction is performed at different temperatures and the reaction rate is determined. The plot of math ln k T math versus math 1 T math gives a straight line with slope math ... in the Eyring equation above. This value is usually taken to be unity i.e., the transition state ... Keusch eyr e.htm Eyring equation at the University of Regensburg http www jmg.ch.cam.ac.uk tools ... the Eyring equation DEFAULTSORT Eyring Equation Category Chemical kinetics Category Equations Category ... more details
Bernoulli equation may refer to Bernoulli differential equation Bernoulli s equation , in fluid dynamics. Euler Bernoulli beam equation , in solid mechanics disambig zh ... more details
Equation editor may refer to Formula editor Read this for the comparison chart for major mathematical equation editors Microsoft Equation Editor MathType MathMagic equation editor Category Formula editors dab A long comment added to the page to prevent it being listed on Special Shortpages. Generated via Template Longcomment. ... more details
In mathematics, the term exact equation can refer either of the following Exact differential equation Closed and exact differential forms Exact differential form disambig ... more details
HH equation may refer to Henderson Hasselbach equation Hodgkin Huxley model disambig Long comment to avoid being listed on short pages ... more details
Stokes equation may refer to the Airy equation the equations of Stokes flow , a linearised form of the Navier Stokes equations in the limit of small Reynolds number Stokes law disambig ... more details
In mathematics , a summation equation or discrete integral equation is an equation in which an unknown function mathematics function appears under a summation sign. The theories of summation equations and integral equation s can be unified as integral equations on time scales ref http web.maths.unsw.edu.au cct tis tomasia IJDE rev.pdf Volterra integral equations on time scales Basic qualitative and quantitative results with applications to initial value problems on unbounded domains , Tomasia Kulik, Christopher C. Tisdell, September 3, 2007 ref using time scale calculus . A summation equation compares to a difference equation as an integral equation compares to a differential equation . The Volterra summation equation is math x t f t sum i m n k t, s, x s math where x is the unknown function, and s, a, t are integers, and f, k are known functions. References references http scholar.google.com scholar?q 22discrete integral equations 22 OR 22summation equations 22 OR 22discrete integral equation 22 OR 22summation equation 22 Summation equations or discrete integral equations Category Integral equations ... more details
An adjoint equation is a linear differential equation , usually derived from its primal equation using integration by parts . Gradient values with respect to a particular quantity of interest can be efficiently calculated by solving the adjoint equation. Methods based on solution of adjoint equations are used in wing shape optimization , flow control and uncertainty quantification . References reflist cite journal last Jameson first Antony title Aerodynamic Optimization via Control Theory journal Journal of Scientific Computing volume 3 issue 3 year 1988 DEFAULTSORT Adjoint Equation Category Differential calculus ru ... more details
This article is about the Hill differential equation, for the equation used in biochemistry see Hill equation In mathematics , the Hill s equation or Hill differential equation harvtxt Hill 1886 is the second order linear ordinary differential equation math frac d 2y dt 2 f t y 0, math where f t is a periodic function. Dimensional analysis can be used to transform this equation so the period is always 2 . Using a Fourier series representation, this may be rewritten as math frac d 2y dt 2 left theta 0 2 sum n 1 infty theta n cos 2nt right y 0, math where the s are Coefficient constants . Important special cases of Hill s equation include the Mathieu Equation and the Meissner Equation. Hill s equation is an important example in our understanding of oscillatorily forced systems. Depending on the exact shape of f t , solutions may stay bounded for all time, or the amplitude of the oscillations in solutions may grow exponentially. See also Mathieu equation References Heinrich Guggenheimer 1977 Applicable Geometry , pages 73&ndash 98, Krieger, Huntington ISBN 0882753681 . citation doi 10.1007 BF02417081 authorlink George William Hill first G.W. last Hill title On the Part of the Motion of Lunar Perigee Which is a Function of the Mean Motions of the Sun and Moon journal Acta Math. volume 8 issue 1 pages 1 36 year 1886 Magnus, Wilhelm and Winkler, Stanley. http books.google.com books?id ML5wm T4RVQC&dq Hill 27s equation&printsec frontcover&source bl&ots kXKt76K3v0&sig weeo6n5znT9hjDQvWWZNOmKtnk&hl en&ei MKbSSsbODdCTlAeVnOyoCg&sa X&oi book result&ct result&resnum 6&ved 0CBcQ6AEwBQ v onepage&q &f false Hills Equation Dover Books. dlmf first G. last Wolf id 28.29 title Mathieu Functions and Hill s Equation External links mathworld urlname HillsDifferentialEquation title Hill s Differential Equation Category Ordinary differential equations mathapplied stub it Equazione di Hill matematica km ru sl Hillova ena ba matematika ... more details
Dispersionless or quasi classical limits of integrable partial differential equations PDE arise in various problems of mathematics and physics and are intensively studied in the recent literature see, f.i., 1 5 . Examples Dispersionless KP equation The dispersionless Kadomtsev Petviashvili equation dKPE has the form math u t uu x x u yy 0, qquad 1 math It arises from the commutation math L 1, L 2 0. qquad 2 math of the following pair of 1 parameter families of vector fields math L 1 partial y lambda partial x u x partial lambda , qquad 3a math math L 2 partial t lambda 2 u partial x lambda u x u y partial lambda , qquad 3b math where math lambda math is a spectral parameter. The dKPE is the math x math dispersionless limit of the celebrated Kadomtsev Petviashvili equation . Dispersionless Korteweg de Vries equation The dispersionless Korteweg de Vries equation dKdVE reads as math u t frac 3 2 uu x . qquad 4 math It is the dispersionless or quasiclassical limit of the Korteweg de Vries equation . Dispersionless Davey Stewartson equation Dispersionless Novikov Veselov equation Dispersionless Hirota equation See also Integrable systems Nonlinear Schr dinger equation Nonlinear systems Davey Stewartson equation Dispersive partial differential equation Kadomtsev Petviashvili equation Korteweg de Vries equation References Kodam Y., Gibbons J. Integrability of the dispersionless KP hierarchy Zakharov V.E. Dispersionless limit of integrable systems in 2 1 dimensions Takasaki K. , Takebe T. Rev. Math. Phys., 7, 743 1995 Konopelchenko B.G. Quasiclassical generalized Weierstrass representation and dispersionless DS equation , ArXiv 0709.4148 Dunajski M. Interpolating integrable system . ArXiv 0804.1234 External links http tosio.math.toronto.edu wiki index.php Ishimori system Ishimori system at the dispersive equations wiki Category Partial differential equations ... more details
Unreferenced date December 2009 In mathematics , LHS is informal shorthand for the left hand side of an equation . Similarly, RHS is the right hand side . Each is solely a name for a term as part of an expression and they are in practice interchangeable, since equality mathematics equality is equivalence relation symmetric . This abbreviation is seldom if ever used in print it is very informal. More generally, these terms may apply to an inequation or inequality mathematics inequality . In the inequality case , there is no symmetry. The right hand side is everything on the right side of a test operator in an Expression mathematics expression . Conversely, the left hand side is everything on the left side. Some examples The equation on the right side right part of the sign is the right side of the equation and the left of the is the left side left part of equation. br br Take x 5 y 8 where x 5 would be the left hand side and y 8 would be the right hand side Homogeneous and inhomogeneous equations In solving mathematical equations, particularly linear simultaneous equations , differential equation s and integral equation s, the terminology homogeneous is often used for equations with the RHS set equal to zero. The corresponding inhomogeneous or nonhomogeneous equation then has the RHS ... operator L , with the difference being that between the equation Lf 0, to be solved for a function f , and the equation Lf g , with g a fixed function, to solve again for f . The point of the terminology appears for L a linear operator . Then any solution of the inhomogeneous equation may have a solution of the homogeneous equation added to it, and still remain a solution. For example in mathematical physics , the homogeneous equation may correspond to a physical theory formulated in empty space , while the inhomogeneous equation asks for more realistic solutions with some matter, or charged ..., though. See also equal sign DEFAULTSORT Sides Of An Equation Category Mathematical terminology es ... more details
functions in one variable using Felix Klein s approach to solving the quintic equation . ref name Mathworld Sextic Equation See also Cubic function Septic equation References references Polynomials DEFAULTSORT Sextic Equation Category Equations Category Galois theory Category Polynomials mathematics ... more details
Refimprove date January 2010 In mathematics , an algebraic equation , also called polynomial equation over a given Field mathematics field is an equation of the form math P Q math where P and Q are possibly Multivariate polynomial multivariate polynomial s over that field. For example math y 4 frac xy 2 frac x 3 3 xy 2 y 2 frac 1 7 math is an algebraic equation over the rationals. Two equations are equivalent if they have the same set of Equation solutions . In particular the equation math P Q math is equivalent with math P Q 0 math . It follows that the study of algebraic equations is equivalent to the study of polynomials. An algebraic equation over the rationals can always be converted to an equivalent ... 3 7 and grouping its terms in the first member, the algebraic equation above becomes the algebraic equation math 42y 4 21xy 14x 3 42xy 2 42y 2 6 0 math Although the equation math e T x 2 frac 1 T xy sin T z 2 0 math is not an algebraic equation in four variables x , y , z and T over the rational numbers because sine , exponentiation and 1 T are not polynomial functions . It is an algebraic equation ... T 3 3 frac T 5 5 frac T 7 7 cdots math 1 T and 2 are all elements of Q T . The solutions of an equation ... to precise in which field the solutions are looked for. For example, for an equation over the rationals one may look for the integer of rational solutions. In this case the equation is a diophantine equation . One may also want for the complex solutions and this relies to fundamental theorem of algebra ... function equation of degree 3 and Lodovico Ferrari has solved the Quartic function equation of degree 4 . Finally Niels Henrik Abel has proved in 1824 that the quintic equationequation of degree ... after variste Galois , were introduced to give criteria deciding if an equation is solvable using radicals. References MathWorld title Algebraic Equation urlname AlgebraicEquation See also Algebraic ... DEFAULTSORT Algebraic Equation Category Polynomials Category Equations ar de Algebraische ... more details
An independent equation is an equation in a system of simultaneous equations which cannot be derived algebraically from the other equations. See also Linear algebra Indeterminate system References Unreferenced date June 2008 Category Linear algebra Algebra stub ... more details
An indeterminate equation , in mathematics , is an equation for which there is an infinite set of solutions for example, 2x y is a simple indeterminate equation. Indeterminate equations cannot be directly solved from the given information. For example, the equations math ax by c math math x 2 Py 2 1 math where a, b, c, and P are given integers provided that P is not a square number , are indeterminate equations. Equations of the second form are named Pell s equation s. See also Indeterminate system Indeterminate variable Linear algebra References Unreferenced date August 2008 Category Algebra math stub es Ecuaci n indeterminada ko nl Onbepaalde vergelijking ... more details
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