Multiple-choice tests such as the Force Concept Inventory (FCI) provide useful instruments to probe the distribution of student difficulties on a large scale. However, traditional analysis often relies solely on scores (number of students giving the correct answer). This ignores what can be significant and important information: the distribution of wrong answers given by the class. In this pape...

One of the emerging computational approaches in nuclear physics is the full configuration interaction (FCI) method for solving the many-body nuclear Hamiltonian in a sufficiently large single-particle basis space to obtain exact answers either directly or by extrapolation. The lowest eigenvalues and corresponding eigenvectors for very large, sparse and unstructured nuclear Hamiltonian matrices ...

Selected configuration interaction (sCI) methods exploit the sparsity of full (FCI) wave function, yielding significant computational savings and function compression without sacrificing accuracy. Despite recent advances in sCI methods, selection important determinants remains an open problem. We explore possibility utilizing reinforcement learning approaches to solve By mapping problem onto a ...

The energy-level structure of a pair of electron and positron confined in a quasi-one-dimensional nano-scale potential well has been investigated focusing on its trend in the small limit of confinement strength ω, namely, the Wigner molecular regime. An anisotropic Gaussian-type basis functions supplemented by high angular momentum functions as large as l = 19 has been used to obtain reliable f...

The recent many-body expanded full configuration interaction (MBE-FCI) method is reviewed by critically assessing its advantages and drawbacks in the context of contemporary near-exact electronic structure theory. Besides providing a succinct summary history MBE-FCI to date within generalized unified theoretical setting, finer algorithmic details are discussed alongside our optimized computatio...

I. INTRODUCTION. In a previous survey (Hake 1998a,b; 2002a) the correlation of the average normalized gain on the FCI (Hestenes et al. 1992, Halloun et al. 1995) or Mechanics Diagnostic (Halloun & Hestenes 1985a,b) test for 62 courses with % was a very low +0.02. However, open research questions remain as to the existence of "hidden variables," a term evidently first used in an edu...

Discontinuous changes in the electronic structure upon infinitesimal changes to the Hamiltonian are demonstrated. These are revealed in one and two electron molecular systems by full configuration interaction (FCI) calculations when the realm of the nuclear charge is extended to be fractional. FCI electron densities in these systems show dramatic changes in real space and illustrate the transfe...

With the generation and analysis of stream data, such as network monitoring in real time, log records, click streams, a great deal of attention has been concerned on data streams mining in the field of data mining. In the process of the data streams mining, it is more reasonable to ask users to set a bound on the result size. Therefore, in this paper, an real-time single-pass algorithm, called ...