Results 21 to 30 of about 36,685 (265)
Bethe equations `on the wrong side of the equator' [PDF]
Journal of Physics A: Mathematical and General, 1999 We analyse the famous Baxter's $T-Q$ equations for $XXX$ ($XXZ$) spin chain and show that apart from its usual polynomial (trigonometric) solution, which provides the solution of Bethe-Ansatz equations, there exists also the second solution which should corresponds to Bethe-Ansatz beyond $N/2$.
Pron'ko, G. P., Stroganov, Yu. G.
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equate: An R Package for Observed-Score Linking and Equating
Journal of Statistical Software, 2016 The R package equate contains functions for observed-score linking and equating under single-group, equivalent-groups, and nonequivalent-groups with anchor test(s) designs.
Anthony D. Albano
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ON A FUNCTIONAL EQUATION [PDF]
The Quarterly Journal of Mathematics, 1958 We have recently discussed in (1) the general solution of a certain functional equation arising in statistical thermodynamics, and we propose in this note to deal with another functional equation arising from the same source(2). The problem is to obtain the most general function f(x) which, for all positive integral values of m, n ...
Chaundy, T. W., McLeod, J. B.
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Comparison of Kernel equating methods under NEAT and NEC designs
International Journal of Assessment Tools in Education, 2023 In this study, Kernel test equating methods were compared under NEAT and NEC designs. In NEAT design, Kernel post-stratification and chain equating methods taking into account optimal and large bandwidths were compared.
Şeyma Nur Özsoy, Sevilay Kilmen
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The SQG Equation as a Geodesic Equation [PDF]
Archive for Rational Mechanics and Analysis, 2016 We demonstrate that the surface quasi-geostrophic (SQG) equation given by $$θ_t + \left= 0,\;\;\; θ= \nabla \times (-Δ)^{-1/2} u,$$ is the geodesic equation on the group of volume-preserving diffeomorphisms of a Riemannian manifold $M$ in the right-invariant $\dot{H}^{-1/2}$ metric.
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BMC Research Notes, 2011 Background Previous studies showed an inter-observer agreement for the NYHA classification of approximately 55%. The aim of this study was to calibrate the New York Heart Association (NYHA) classification system between observers, increasing its ...
Bettencourt Paulo +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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Automated Essay Scoring Effect on Test Equating Errors in Mixed-format Test
International Journal of Assessment Tools in Education, 2021 Scoring constructed-response items can be highly difficult, time-consuming, and costly in practice. Improvements in computer technology have enabled automated scoring of constructed-response items. However, the application of automated scoring without an
Nuri Doğan, İbrahim Uysal
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European Physical Journal C: Particles and Fields, 2023 We wonder if there is a way to make all Schur functions in all representations equal. This is impossible for fixed value of time variables, but can be achieved for averages.
A. Morozov
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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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