L2L^{2}-approach to the Saito vanishing theorem

We give an analytic approach to the Saito vanishing theorem by going back to the original idea for the proof of the Kodaira-Nakano vanishing theorem. The key ingredient is the curvature formula for Hodge bundles and the Higgs field estimates for degenerations of Hodge structures

12 Études Caractéristiques, Opus 2, by Adolf von Henselt: A Pedagogical Guide with Practical Exercises on Selected Etudes

Adolf von Henselt (1814–1889) was one of the most renowned German pianists and composers of his day. The majority of his compositions are for the piano, one of his most successful being the set of Piano Études, Op. 2. It consists of twelve etudes, each of which is designed for developing a particular technique. Henselt's etudes are as demanding as Chopin's and Liszt's, so this pedagogical guide is designed for advanced-level students. Henselt uses many finger extensions and stretches larger than an octave, which may be difficult for smaller hands to play, but proper flexibility and relaxation should enable all students to play them. This dissertation describes the specific technique for six selected etudes and provides exercises to help students learn each technique effectively. The selected etudes—Nos. 1, 2, 3, 6, 9, and 11—were chosen to cover all three technical levels of less-advanced, advanced, and very advanced as well as a variety of musical styles and technical challenges

Effectiveness of a Serious Game for Cognitive Training in Chronic Stroke Survivors with Mild-to-Moderate Cognitive Impairment: A Pilot Randomized Controlled Trial

Previous cognitive training games for stroke survivors required the close supervision of therapists. We aim to demonstrate the preliminary therapeutic effectiveness of Neuro-World, serious mobile games for cognitive training, in chronic stroke survivors with mild-to-moderate cognitive impairment without therapist supervision. For that, we conducted a randomized, controlled clinical trial at a single long-term care rehabilitation center with 50 stroke survivors in the chronic stage with mild-to-moderate cognitive impairment. Participants were randomized to standard medical care (n = 25) or standard medical care plus administration of Neuro-World (n = 25) over 12 weeks. A two-way mixed model ANOVA and Tukey’s post hoc tests identified significant differences in outcomes between the experimental and the control groups at post-intervention but not at baseline. Within the experimental group, there were statistically significant improvements in all the outcomes except for the language category of the Mini-Mental State Examination and Digit Forward Span. The improvements were clinically significant for the total Mini-Mental State Examination, Digit Forward Span, and Digit Backward Span. Within the control group, there were no improvements in any of the outcomes. The practice of Neuro-World led to significant improvements in cognitive function and marginal mitigation of depressive symptoms in chronic stroke survivors with mild-to-moderate cognitive impairment

Validation of nuclide depletion capabilities in Monte Carlo code MCS

In this work, the depletion capability implemented in Monte Carlo code MCS is investigated to predict the isotopic compositions of spent nuclear fuel (SNF). By comparison of MCS calculation results to post irradiation examination (PIE) data obtained from one pressurized water reactor (PWR), the validation of this capability is conducted. The depletion analysis is performed with the ENDF/B-VII.1 library and a fuel assembly model. The transmutation equation is solved by the Chebyshev Rational Approximation Method (CRAM) with a depletion chain of 3820 isotopes. 18 actinides and 19 fission products are analyzed in 14 SNF samples. The effect of statistical uncertainties on the calculated number densities is discussed. On average, most of the actinides and fission products analyzed are predicted within +/- 6% of the experiment. MCS depletion results are also compared to other depletion codes based on publicly reported information in literature. The code-to-code analysis shows comparable accuracy. Overall, it is demonstrated that the depletion capability in MCS can be reliably applied in the prediction of SNF isotopic inventory. (c) 2020 Korean Nuclear Society, Published by Elsevier Korea LLC. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)