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- [[File:Lotka-Volterra orbits.png|thumb|Solutions of the predator-prey equations for different starting conditions]] ...terra equations'''.<ref>Leigh E.R. 1968. The ecological role of Volterra's equations, in ''Some Mathematical Problems in Biology''. A modern discussion using Hu ...7 KB (1,000 words) - 15:56, 1 December 2024
- ...he equations is that of nonlinear [[partial differential equation]]s. Such equations are usually solved by [[approximation]]. An exact solution can be obtained [[Category:Equations]] ...2 KB (273 words) - 15:11, 7 January 2024
- In [[mathematics]], a '''system of linear equations''' (or '''linear system''') is a collection of [[linear equation]]s involvi ...If no such values can satisfy all of the equations in the system, then the equations are called "inconsistent." ...10 KB (1,432 words) - 05:31, 3 January 2025
- '''Numerical methods for partial differential equations''' are computational schemes to obtain approximate solutions of [[partial d ...rikwerda, J. C. (2004). Finite difference schemes and partial differential equations. SIAM.</ref> This method approximates derivatives as differences: ...18 KB (2,441 words) - 21:46, 6 December 2024
- '''Maxwell's equations''' describe how [[electric charge]]s and [[electric current]]s create elect In the 1860s [[James Clerk Maxwell]] published equations that describe how charged particles give rise to [[electric]] and [[magneti ...15 KB (2,352 words) - 13:53, 25 July 2021
Page text matches
- ...ar algebra is useful in other branches of mathematics (e.g. [[differential equations]] and [[analytic geometry]]). It can also be applied to the real world in a For example, consider the following equations: ...2 KB (271 words) - 01:25, 1 November 2023
- ...</math>, as well as the rate at which those variables change. Differential equations are special because the solution of a differential equation is itself a [[F ==Types of differential equations== ...3 KB (429 words) - 03:50, 1 November 2023
- ...[[Vector|Vectors]] and [[Matrix (mathematics)|matrices]] are often used in equations of state. ]] ...scribe the state of [[Gas|gases]] and [[Fluid|fluids]]. In the real world, equations of state are [[Approximation|approximations]]. They can be quite complex to ...2 KB (251 words) - 00:44, 18 February 2023
- ...he equations is that of nonlinear [[partial differential equation]]s. Such equations are usually solved by [[approximation]]. An exact solution can be obtained [[Category:Equations]] ...2 KB (273 words) - 15:11, 7 January 2024
- ...</math> is equivalent with <math>P-Q = 0</math>. So the study of algebraic equations is equivalent to the study of polynomials. ...values of the variables for which the equation is true. But for algebraic equations there are also called '''roots'''. When solving an equation, we need to say ...3 KB (410 words) - 07:25, 6 July 2016
- ...analysis''' is a branch of [[mathematical analysis]], concerned with such equations. Typical questions include: ...visor]]s, or in the case of [[modular arithmetic]]. In everyday life, many equations solve problems where only whole numbers make sense: A product is composed o ...2 KB (223 words) - 20:38, 10 June 2022
- {{About|linear differential equations with one variable by itself|similar equations with two or more variables by itself|Partial differential equation}} [[Category:Differential equations]] ...1 KB (172 words) - 14:18, 21 July 2023
- ...ypes, '''identities''' and '''conditional equations''' (or usually simply "equations")". « ''Equation'' », in ''Mathematics Dictionary'', Glenn James et Rober There are two kinds of mathematical equations: ...3 KB (456 words) - 20:05, 5 May 2024
- ...ionary reference frame and a reference frame in [[constant velocity]]. The equations are given by: [[Category:Equations of physics]] ...1 KB (222 words) - 21:04, 10 June 2022
- [[Category:Equations]] ...245 bytes (33 words) - 00:10, 4 February 2023
- ...) is a method used to solve [[system of linear equations|systems of linear equations]]. It is named after [[Carl Friedrich Gauss]], a famous German [[mathematic ...ian elimination, the [[coefficient]]s of the terms in the system of linear equations are used to create a type of matrix called an [[augmented matrix]]. Then, e ...5 KB (681 words) - 07:35, 9 June 2022
- ...ation domain, such as [[Partial differential equation|partial differential equations]],. They are equipped with a norm that measures both the size and regularit ...at [[Weak solution|weak solutions]] of some important partial differential equations exist in appropriate Sobolev spaces, even when there are no strong solution ...3 KB (397 words) - 20:30, 1 April 2024
- [[File:Linear Function Graph.svg|thumb|300px|The linear equations of y=-x+5 and y=.5x+2. The x's are [[variable]]s.]] In all linear equations, variable "x" and "y" are always representative of the coordinates. ...3 KB (564 words) - 21:51, 30 January 2025
- ...1999 }}</ref> as a solution to [[Einstein field equations|Einstein's field equations]] in 1916. Also known as '''Schwarzschild solution''', it is an equation fr ...ed<ref>https://arxiv.org/ftp/gr-qc/papers/0611/0611104.pdf</ref> using the equations for [[escape velocity]] (<math>v_{e}</math>), [[time dilation]] (dt'), [[Lo ...4 KB (548 words) - 08:21, 23 April 2023
- In [[mathematics]], a '''system of linear equations''' (or '''linear system''') is a collection of [[linear equation]]s involvi ...If no such values can satisfy all of the equations in the system, then the equations are called "inconsistent." ...10 KB (1,432 words) - 05:31, 3 January 2025
- ...s caused a long fight. His student [[Lodovico Ferrari]] solved the quartic equations. Cardano also speaks about [[imaginary number]]s in the same book, ''Ars Ma ...2 KB (234 words) - 15:58, 23 May 2020
- ...s://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/a/discriminant-review|access-date=20 ...eral conic equations, and other mathematical entities such as differential equations and quadratic forms as well.<ref name=":0" /> ...2 KB (276 words) - 00:12, 4 February 2023
- ...(drawing) a [[Point (geometry)|point]] for each solution to the [[Equation|equations]]. For example, the <math>x</math> axis is described by the equation <math> ...3 KB (422 words) - 17:19, 30 January 2025
- ...f> The equations of both fields are coupled and together form [[Maxwell's equations]] that describe both fields as a function of charges and [[Electric current ...2 KB (284 words) - 16:59, 5 October 2024
- ...tablished as a way to simplify many of the more fundamental equations — if equations are written in [[Planck units]], you can do away with many physical constan ...2 KB (323 words) - 13:17, 17 March 2025