Results 21 to 30 of about 45,141 (310)
Formalized Mathematics, 2017 SummaryIn this article we formalize several basic theorems that correspond to Pell’s equation. We focus on two aspects: that the Pell’s equationx2−Dy2= 1 has infinitely many solutions in positive integers for a givenDnot being a perfect square, and that based on the least fundamental solution of the equation when we can simply calculate algebraically ...
Marcin Acewicz, Karol Pak
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Evaluating equating transformations in IRT observed-score and Kernel Equating methods [PDF]
, 2023 Test equating is a statistical procedure to ensure that scores from different test forms can be used interchangeably. There are several methodologies available to perform equating, some of which are based on the Classical Test Theory (CTT) framework and ...
Battauz, Michela, +5 more
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Transcendental equation for the Schrödinger equation [PDF]
Mathematics of Computation, 1960 side of eq. (4). The hypergeometric function appearing in eq. (4) can be computed as described above but convergence is slow for values of x close to unity, and in this case it may be desirable to compute the functions differently [4]. A subroutine [5] has been written for the IBM 704 to calculate the toroidal harmonics using the methods described here.
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equateIRT: An R Package for IRT Test Equating
Journal of Statistical Software, 2015 The R package equateIRT implements item response theory (IRT) methods for equating different forms composed of dichotomous items. In particular, the IRT models included are the three-parameter logistic model, the two-parameter logistic model, the one ...
Michela Battauz
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On reducing a system of equations to a single equation
Proceedings of the 2004 international symposium on Symbolic and algebraic computation, 2004 For a system of polynomial equations over Q_p we present an efficient construction of a single polynomial of quite small degree whose zero set over Q_p coincides with the zero set over Q_p of the original system. We also show that the polynomial has some other attractive features such as low additive and straight-line complexity.<br /> <br ...
Gudmund Skovbjerg Frandsen +1 more
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Frontiers in Psychology, 2019 The increasing digitalization in the field of psychological and educational testing opens up new opportunities to innovate assessments in many respects (e.g., new item formats, flexible test assembly, efficient data handling). In particular, computerized
Sebastian Born +4 more
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Proceedings of the National Academy of Sciences, 1957 Beweis zweier Sätze, die gestatten, auf die Stetigkeit der Lösungen parabolischer (elliptischer) Differentialgleichungen zu schließen, wenn die Lösung für \(t=0\) (auf dem Rande) beschränkt sein soll.
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TEFLIN Journal, 2019 This explorative-descriptive study set out to examine the equivalence among Test of English Proficiency (TOEP) forms, developed by the Indonesian Testing Service Centre (ITSC) and co-founded by The Association for The Teaching of English as a Foreign ...
Suwarsih Madya +4 more
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Comparison of several small sample equating methods under the NEAT design
Turkish Journal of Education, 2016 The aim of this study is to compare the performances of Identity, Nominal Weights Mean, and Circle-Arc equating methods under the Non-Equivalent Groups Anchor-Test (NEAT) design.
Serdar Caglak
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On a Diophantine Equation [PDF]
Journal of the London Mathematical Society, 1951 Summary: Denote by \(N(a,b)\) the smallest integer \(n\) so that \[ \frac{a}{b}=\frac{1}{x_1}+\cdots+\frac{1}{x_n},\quad ...
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