We examine a corpus of physics tutorial dialogues between a computer tutor and students. Either graphs or illustrations were displayed during the dialogues. In this work, stepwise linear regression, augmented to remove unwanted terms, is used to build models that identify situations when each graphic may aid learning. Our experimental results show that grouping students by pretest score, then b...

In this paper, we formalize two stepwise approaches, based on pseudo-random generators, for proving P 6= NP and its arithmetic analog: Permanent requires superpolynomial sized arithmetic circuits.

The search for minimal set of adjustable parameters through optimising a kinetic model of biochemical networks is needed in industrial biotechnology to increase the productivity of industrial organism strains while keeping low the chance of causing unwanted side effects of implemented changes. As the search for minimal set of adjustable parameters is of combinatorial nature, the search space be...

This supplement contains three appendices. Appendix A contains proofs of results in the main text. Appendix B provides details for the stepwise procedures discussed in Section 5 of the main text. Appendix C contains some additional simulation results. ∗Contact address: Department of Economics, Duke University, 213 Social Sciences Building, Box 90097, Durham NC 27708-0097, USA. Email: jl410@duke...

There are some new developments on Plancherel formula and growth of matrix coefficients for unitary representations of nilpotent Lie groups. These have several consequences for the geometry of weakly symmetric spaces and analysis on parabolic subgroups of real semisimple Lie groups, and to (infinite dimensional) locally nilpotent Lie groups. Many of these consequences are still under developmen...

where ρ is the correlation between x1 and x2. For each random number we sample ρ from the uniform distribution (0, 0.5). We set this correlation range because we want to illustrate the performance of the indirect mapping in a setting of low correlation between the two data types. In order to represent noisy data types we added independent standard Gaussian noise to both x1 and x2. We treat x1 a...

Based on a comprehensive study of 94 classrooms from four states in different geographic regions of the country, this quantitative study investigated the impact of seven factors related to school technology (planning, leadership, curriculum alignment, professional development, technology use, teacher openness to change, and teacher non-school computer use) on five dependent measures in the area...

From the *Department of Pathology, Institute for Medical Immunology, Kumamoto University Medical School, 2-2-1 Honjo, Kumamoto, 860; the 1Biomaterial Research Institute Co. Ltd., Taya-chg Yokohama, Kanagawa, 244; the §Department of Oral Biology, Ohu University School of Dentistry, Tomita-cho Kohriyama, Fukushima, 963; and the IIDivision of Hematology, Department ofMedicine, fichi Medical School...