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The Equation, the Whole Equation and Nothing But the Equation! One Approach to the Teaching of Linear Equations

Educational Studies in Mathematics, 1997
There exists an extensive range of research looking at the teaching and learning of linear equations, resulting in many papers highlighting a range of teaching approaches and illustrating a variety of significant cognitive problems and stumbling blocks to the learning of linear equations with understanding.
Susan E. B Pirie, Lyndon Martin
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Equating Error in Observed-Score Equating

Applied Psychological Measurement, 2006
Traditionally, error in equating observed scores on two versions of a test is defined as the difference between the transformations that equate the quantiles of their distributions in the sample and population of test takers. But it is argued that if the goal of equating is to adjust the scores of test takers on one version of the test to make them ...
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Commutator equations

International Journal of Algebra and Computation
In this paper, we investigate properties of varieties of algebras described by a novel concept of equation that we call commutator equation. A commutator equation is a relaxation of the standard term equality obtained substituting the equality relation with the commutator relation.
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Equations and equational theories

1984
This item was digitized as part of a project to share McGill's intellectual legacy with the public. If you are the copyright holder or a relative of the copyright holder who is deceased, you may request withdrawal by emailing escholarship.library@mcgill.ca.
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The nonlinear wave equation as a Liénard equation

Funkcialaj Ekvacioj, 1991
In the study of the asymptotic behavior of solutions to the equation \[ u_{tt}+f(u)u_t+g(u)=0, \] where \(f,g\in C^0\), \(f(u)>0\) and \(ug(u)>0\) for \(u\neq 0\), much of the investigation was carried out by means of Lyapunov's direct method and the natural Lyapunov function for the equation is \(V_1(t):= 2\int_0^u g(s)\,ds+u_t^2\).
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Equations, systems of equations

2017
In this chapter, we examine elementary knowledge of mathematical relations from a higher point of view. Having understood the elementary relations thoroughly, we will conclude that many deceptively complex problems are grounded in simpler principles.
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Partial Differential Equations and Difference Equations

Proceedings of the American Mathematical Society, 1965
(1. 1) Pi(alax)y = ? (1 _ i _ m) where x = (x1, * , xn), a/ax = (a/ax1, *, O/0xn). The Pi's are assumed to be homogeneous polynomials with real coefficients. The term solution is used to include the generalized solutions. A generalized solution is any function continuous on R which is a uniform limit on compact subsets of CX solutions (see [2, p. 65]).
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The approximation of the Boltzmann equation by stochastic equations

USSR Computational Mathematics and Mathematical Physics, 1988
See the review Zbl 0648.65082.
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New Creatinine- and Cystatin C–Based Equations to Estimate GFR Without Race

New England Journal of Medicine, 2021
Vilmundur Gudnason   +2 more
exaly  

Programming with Equations

ACM Transactions on Programming Languages and Systems, 1982
Christoph M. Hoffmann   +1 more
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