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Topic: List of equations

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Integral equation

Functional equation

Continuity equation

Linear equation

Biquadratic equation

Partial differential equation

Relativistic Euler equations

Ordinary differential equation

Fisher equation

Roothaan equations

Diophantine equation

Solution point

Quadratic equation

Green Bank equation

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	Maxima Manual: 21. Equations
		Solves the list of simultaneous linear equations for the list of variables.
		The first list represents the equations to be solved; the second list is a list of the unknowns to be determined.
		If the total number of variables in the equations is equal to the number of equations, the second argument-list may be omitted.
	maxima.sourceforge.net /docs/manual/en/maxima_21.html (1715 words)

	Encyclopedia: List of equations
		Mathematical lists The advection equation is the partial differential equation that governs the motion of a conserved scalar as it is advected by a known velocity field.
		The primitive equations are a version of the Navier-Stokes equations which describe hydrodynamical flow on the sphere under the assumptions that vertical motion is much smaller than horizontal motion (hydrostasis) and that the fluid layer depth is small compared to the radius of the sphere.
		Einstein's famous equations says that mass m is equivalent to energy E, and the amount of energy contained in a piece of mass is equal to the mass multiplied with the square of the speed of light, c.
	www.nationmaster.com /encyclopedia/List-of-equations (2646 words)

	[No title]
		Equations (4-1) through (4-7) are used to calculate the linearized continuum magnitude at each of the HB filter wavelengths.
		Absolute fluxes are obtained using: equations (5-1) through (5-4) for the continuum filter measurements, equations (6-1) through (6-7) for the interpolated continuum under the gas species, and equations (7-1) through (7-7) for the measurements with the gas filters themselves.
		The required list indicates that a measurement in at least one of the listed filters is necessary for proper continuum determination.
	www.lowell.edu /Research/Projects/comet-filters/hbfilters/reduc_instr.txt (2435 words)

	Gaussian Elimination (Site not responding. Last check: 2007-10-13)
		Note that this set of equations has a special form: it has a triangle in the lower left corner in which all coefficients are zero.
		The returned equations have the same solutions as the original equations, except they are in triangular form.
		loe) empty] [else (local [(define rest-sols (solve (map rest (rest loe)))) (define const-eqn (subst rest-sols (rest (first loe))))] (cons (/ (eval const-eqn) (first (first loe))) rest-sols))])) ;; eval : (nelistof number) -> number ;; solves sum of constants where last number is on right-hand side and ;; all other numbers are on left-hand side.
	www.owlnet.rice.edu /~comp210/99fall/Lectures/22.shtml (693 words)

	GMM
		The instrument list may be different for each equation (see the MASK option or the INST option) and the form of the covariance matrix used for weighting the estimator is under user control (the HETERO option for heteroskedastic-consistency and the NMA= option for moving average disturbances).
		List the instruments in the INST= option and list the equations after the options; the products of these two are the orthogonality conditions, which are minimized in the metric of an estimate of their expected covariance.
		The matrix is # of instruments by # of equations and the default is a matrix of ones (all instruments used for all equations).
	www.tspintl.com /products/tsphelp/gmm.htm (1171 words)

	Out.Equat11
		In equation 1 the variables y and x are raised to the first power (1), while in equation 7 x is raised to the second power (2).
		Equation 3, meanwhile, does satisfy our condition for a linear relationship, the only difference is that y depends on two exogenous variables, x and z.
		In the linear equation, if we are at x = 1 and z = 2 and move to x = 2, then y increases by 4.
	www.uri.edu /artsci/ecn/mead/306a/Outlines/Algebra/Out.Equat11.html (802 words)

	Using a Mathematica Notebook
		The Solve function takes up to two arguments, a list of equations and an optional list of variables for which to solve.
		In this example, only the list of equations is used.
		Like all lists, the list of equations is surrounded by {...}.
	www.cae.wisc.edu /site/public/print.php?title=usingmathnote (473 words)

	List of relativistic equations - Wikipedia, the free encyclopedia
		The following definitions and equations should be applied to any situation when the speed of an observer or object is greater than one tenth of the speed of light.
		In modern treatments of special relativity, mass is always defined as the mass measured by a comoving observer, and is therefore synonymous with the rest mass.
		This article contains only a very few of the definitional equations of the Theory of relativity.
	en.wikipedia.org /wiki/List_of_relativistic_equations (364 words)

	Importing equations and the equation library
		When you select an equation from the library, you transfer it from the library file to your own list of equations.
		Prism stores the equation with every file that uses it, and also places the equation in your list of user-defined equations (the list you see when you choose "more equations").
		When you import an equation, you transfer to your own list of equations (the list you see when you choose "more equations").
	www.graphpad.com /curvefit/importing_equations_.htm (509 words)

	Calculating Derivatives with Mathematica
		The first argument to D is the equation or list of equations the are to be differentiated.
		These equations were inclosed in brackets so that they would both be seen as part of the first argument.
		The first argument is the equation to be integrated while the second is the variable that the integration is to be in respect to.
	www.cs.princeton.edu /courses/archive/fall99/cs323/precepts/differential/math.html (260 words)

	Equations and Expressions
		Equations can be created that contain variables as well as one or more expressions (i.e., equation sets).
		A sketch equation is one that resides in and is always associated with the sketch that is active at the time it is created.
		This supports the "family-of-parts" concept by allowing equation sets to be externally driven by a tabulated list of variables and their values or by equations.
	www.vx.com /help/0398.htm (3147 words)

	Manage Equations
		Equation: This is a list of the equations available in the present session of the response viewer.
		Any equations that you have previously defined and saved in an equation file may be loaded into the present session of the response viewer.
		View Equation dialog box which allows you to view all the fields entered for this equation but does not allow you to modify them.
	www.sonnetusa.com /support/help-v11/dialog_boxes/manage_equations.htm (853 words)

	Userdefined equations
		If you enter a discontinuous equation (where an infinitesimal change in X can create a huge change in Y) the results of nonlinear regression may not be reliable.
		For each variable in the equation, enter a number in the first column and select a multiplier from the drop-down list in the second column.
		When you pick one of those files, it shows a list of all user-defined equations used in the file, along with a thumbnail preview of the first graph linked to each equation.
	www.curvefit.com /writing_equations.htm (1398 words)

	The equations below will be provided on the exam as shown below (Site not responding. Last check: 2007-10-13)
		You should make sure you understand the concepts embodied in each of these equations and thus the conditions under which they apply.
		These equations are all from chapters 8 and 9.
		There are additional equations you are responsible for (law of mass action for instance), but I believe that people have a grasp of them from their work prior to the midterm.
	www.uoregon.edu /~ch225/equations.htm (123 words)

	Importing equations and the equation library
		When you select an equation from the library, you transfer it from the library file to your own list of equations.
		Prism stores the equation with every file that uses it, and also places the equation in your list of user-defined equations (the list you see when you choose "more equations").
		When you import an equation, you transfer to your own list of equations (the list you see when you choose "more equations").
	www.curvefit.com /importing_equations_.htm (509 words)

	Solving Equations
		There are some equations, however, for which it is mathematically impossible to find explicit formulas for the solutions.
		You simply give the list of equations, and specify the list of variables to solve for.
		When you are working with sets of equations in several variables, it is often convenient to reorganize the equations by eliminating some variables between them.
	documents.wolfram.com /v4/MainBook/1.5.7.html (638 words)

	List of relativistic equations - Encyclopedia, History, Geography and Biography
		List of relativistic equations - Encyclopedia, History, Geography and Biography
		Special Relativity was put forth by Albert Einstein and is possibly his most famous contribution to science.
		List of relativistic equations, Special relativistic equations, Definitions, Equations, See also, Further reading, Special relativistic equations, Definitions, Equations, See also, Further reading, Special relativity, Equations and Physics lists.
	www.arikah.com /encyclopedia/List_of_relativistic_equations (446 words)

	Encyclopedia: List of relativistic equations
		Note that at one time in presentations of special relativity, it was common to introduce a quantity called the relativistic mass, defined as m=γm
		An equation for the characteristic surface (characterizing the propagation of disturbances under the double simple wave restriction) is constructed.
		Similar to the nonrelativistic case, the equation for vn is shown to be formally like a new charged fluid but (unlike the nonrelativistic flow) with a new formal thermodynamics.
	www.nationmaster.com /encyclopedia/List-of-relativistic-equations (201 words)

	List of equations - Encyclopedia, History, Geography and Biography
		List of equations - Encyclopedia, History, Geography and Biography
		This encyclopedia, history, geography and biography article about List of equations contains research on
		List of equations, Named equations, Other equations, Equations, Differential equations and Mathematical lists.
	www.arikah.net /encyclopedia/List_of_equations (87 words)

	MODEL
		MODEL takes as its arguments the name of a list of equations in the model, and produces a collected and ordered model which is stored under the name supplied by the user.
		Each of the endogenous variables in the list must appear on the left hand side of one and only one of the equations.
		A table is printed which shows for each equation in the model the number of its block, whether the block is simultaneous (S) or recursive (R), and which endogenous variables appear in that equation.
	www.tspintl.com /products/tsphelp/model.htm (423 words)

	101Systems of Equations.lbz
		A system of linear equations is a list of m linear equations in a common set of variables
		If we replace the second equation by the original second equation minus the first, the system of equations changes, but the solution does not.
		If we were to stop at this point and convert the augmented matrix back into a system of equations, we would have an upper-triangular system of equations that could be solved by back-substitution.
	www.lawrence.edu /fast/greggj/CMSC110/Gauss/Gauss.html (1226 words)

	Substituting Expressions (Site not responding. Last check: 2007-10-13)
		The substitutions are made in the order given by the list of equations, that is, from left to right.
		That is, the first argument may be a single substitution equation or a list of such equations, while the second argument is the expression being processed.
		If the last argument to a part function is a list of indices then several subexpressions are picked out, each one corresponding to an index of the list.
	starship.python.net /crew/mike/maxima/html/macref/node34.html (449 words)

	Vision Engineer - Reference: List of Equations (Site not responding. Last check: 2007-10-13)
		Having said that, equations are nothing more than simple expressions that relate physical phenomeon.
		Lamé equations are used to calculate hoop and radial stresses in cylinders.
		The equation of state applies to ideal gases and relates pressure and temperature.
	www.visionengineer.com /ref/equations.php (186 words)

	Maxwell's Equations (Site not responding. Last check: 2007-10-13)
		These basic equations of electricity and magnetism can be used as a starting point for advanced courses, but are usually first encountered as unifying equations after the study of electrical and magnetic phenomena.
		Maxwell Equations -- from Eric Weinstein's World of Physics: This is a set of Maxwell's equations using partial derivatives.
		Maxwell's Equations: Proof: This is a proof of Maxwell's equations how they came to be.
	www.personal.psu.edu /users/f/z/fzs100/myweb2/new_page_13.htm (96 words)

	RIES - Find Algebraic Equations, Given Their Solution at MROB
		It should also be apparent that the simplest equations come first and the more complex ones later on.
		ries follows the example of continued fractions — as you go to longer equations, you get a closer approximaion to your number, and each approximation is the closest approximation that is available with an equation of that complexity.
		equations in 62 seconds and uses 115 megs of memory.
	home.earthlink.net /~mrob/pub/ries (599 words)

	List of equations (Site not responding. Last check: 2007-10-13)
		Charles Seife The Clay Institute announces a list of mathematical puzzles for the 21st century--at...
		their results in ordinary differential equations and Diophantine geometry, one of the few problems on Hilbert's list to remain unsolved.
		The effects of sample size and proportion of buyers in the sample on performance of list segmentation equations generate...
	hallencyclopedia.com /List_of_equations (325 words)

	The Bart-Gohberg-Kaashoek-Van Dooren Theorem: Step 1
		We run NCProcess1 for 2 iterations where the input is the equations FAC, together with the declaration of A, B, C as knowns and the remaining variables as unknowns.
		The spreadsheet created by NCProcess1 is a list of equations whose solution set is the same as the solution set for the FAC equations.
		First notice that the first equation is not written as a rule since it has a collected form.
	math.ucsd.edu /~ncalg/prod/prod1.html (261 words)

	FC++ lazy list implementation (Site not responding. Last check: 2007-10-13)
		As of v1.3, lists have been completely reimplemented in a way that is far more efficient than the previous implementation.
		This document describes the new list implementation structure, and how you can write functoids to take advantage of the new structure to be more efficient.
		However, the "odd" lists described in that paper always evaluate "one too far ahead" in a list, whereas FC++'s OddLists effectively have "even" tails, which means only the original call is too eager; the recursive calls are fine.
	www.cc.gatech.edu /~yannis/fc++/New/new_list_implementation.html (1014 words)

	The equations below will be provided on the exam as shown below
		The equations below will be provided on the exam as shown below (no annotation).
		These equations are all from chapters 8 and 9.
		There are additional equations you are responsible for (law of mass action for instance), but I believe that people have a grasp of them from their work prior to the midterm.
	darkwing.uoregon.edu /~ch225/equations.htm (123 words)

	Autoregressive Moving Average Error Processes
		If the endolist is not specified, the endogenous list defaults to name, which must be the name of the equation to which the AR error process is to be applied.
		specifies the list of equations whose lagged structural residuals are to be included as regressors in the equations in eqlist.
		specifies the list of equations to which the MA process is to be applied.
	www.otago.ac.nz /sas/ets/chap14/sect49.htm (3387 words)

	UBC ATSC/GEOG 201 Equations
		Below is a list of equations from the Stull textbook that will be covered.
		These are the equations that you are responsible for understanding and knowing how to use, for homework and exams.
		For those of you who took ATSC/GEOG 200, also listed are the equations that were already covered in that course, and the new topics that will be covered beyond that course.
	www.geog.ubc.ca /courses/geog201/G201Eqs.html (548 words)

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