linear equation


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Related to linear equation: quadratic equation

linear equation

n.
An algebraic equation, such as y = 2x + 7 or 3x + 2y - z = 4, in which the highest degree term in the variable or variables is of the first degree. The graph of such an equation is a straight line if there are two variables.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

linear equation

n
(Mathematics) a polynomial equation of the first degree, such as x + y = 7
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

lin′ear equa′tion


n.
a first-order equation involving two variables: its graph is a straight line in the Cartesian coordinate system.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.linear equation - a polynomial equation of the first degree
equation - a mathematical statement that two expressions are equal
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References in periodicals archive ?
Following the Jacobi equation and the linear equation with respect to the principal curvatures [k.sub.1] and [k.sub.2], an interesting geometric question is raised: Classify all surfaces in Euclidean 3-space and Minkowski 3-space satisfying the conditions
We checked using the Fisher test the significance of the linear correlation coefficient from the linear equation and we obtained: [F.sub.c] = 6.905 > [F.sub.crt] = 2.63, the linear correlation coefficient is significant for a significance level of [alpha] = 0.05 and the number of degrees of freedom [v.sub.1] = 6 and [v.sub.2] = 19.
Lingk thereby derived a linear equation that estimates the sink depth for a particular material in a particular mold according to ultrasonic measurements taken during molding.
I was able to generate a worksheet of simple linear equation problems (such as would be suitable for a high school algebra class) without learning the full Mathematica command language.
An electronic oscillator consisting of a bipolar-transistor basic amplifier and a third-order associated RC network is approximated with a time-invariant ODE (3.4.) The stability of this linear equation around the equilibrium operation point is discussed.
The report says: "Canadian students did poorly on solving the linear equation, 'Find x if 10x - 15 = 5x + 20.' Only 27% found the correct solution, compared to 46% internationally." But grade-8 students in Canada don't usually do linear equations.
Continuing the analysis, the investigators next employed the statistical technique of multiple regression, which uses a linear equation to predict values for a variable.
In the linear equation, satisfaction tended to increase as strategic decisions become more centralized.
Because (x,y) must be different from (0,0) the determinant of the coefficients of this set of homogeneous linear equation must be zero, that is,
Linear law describes the relationship between two variables, X and Y and are related by the linear equation Y = MX + C, where M is the gradient of the straight line and C, the Y-intercept.
the fuzzy linear equation (5) has a strong LR complex fuzzy minimal solution as follows:
Therefore, we generate predicted segmentation of slices using volume data with linear equation and proposed improvement method for small regions using the predicted segmentation.

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