A variation formula for the determinant line bundle. Compact subspaces of moduli spaces of stable bundles over class VII surfaces

This article deals with two topics: the first, which has a general character, is a variation formula for the the determinant line bundle in non-K\"ahlerian geometry. This formula, which is a consequence of the non-K\"ahlerian version of the Grothendieck-Riemann Roch theorem proved recently by Bismut, gives the variation of the determinant line bundle corresponding to a perturbation of a Fourier-Mukai kernel ${\cal E}$ on a product $B\times X$ by a unitary flat line bundle on the fiber $X$. When this fiber is a complex surface and ${\cal E}$ is a holomorphic 2-bundle, the result can be interpreted as a Donaldson invariant. The second topic concerns a geometric application of our variation formula, namely we will study compact complex subspaces of the moduli spaces of stable bundles considered in our program for proving existence of curves on minimal class VII surfaces. Such a moduli space comes with a distinguished point $a=[{\cal A}]$ corresponding to the canonical extension ${\cal A}$ of $X$. The compact subspaces Y\subset {\cal M}^\st containing this distinguished point play an important role in our program. We will prove a non-existence result: there exists no compact complex subspace of positive dimension Y\subset {\cal M}^\st containing $a$ with an open neighborhood $a\in Y_a\subset Y$ such that $Y_a\setminus\{a\}$ consists only of non-filtrable bundles. In other words, within any compact complex subspace of positive dimension Y\subset {\cal M}^\st containing $a$, the point $a$ can be approached by filtrable bundles. Specializing to the case $b_2=2$ we obtain a new way to complete the proof of a theorem in a previous article: any minimal class VII surface with $b_2=2$ has a cycle of curves. Applications to class VII surfaces with higher $b_2$ will be be discussed in a forthcoming article.Comment: 25 pages. Comments, suggestions are most welcome Revised version: minor correction

Effects of high-intensity resistance training on physical fitness, hormonal and antioxidant factors: a randomized controlled study conducted on young adult male soccer players

Purpose: The aim of this study was to test the effects of high-intensity resistance training (HIRT) intervention on the physical fitness, hormonal and antioxidant factors of adult male soccer players. Methods: A randomized controlled study design was implemented. Eighteen soccer players (age: 20.3 ± 0.66 years; stature: 174.0 ± 6.01 cm; body mass: 69.1 ± 6.4 kg; body mass index: 22.8 ± 1.6 kg/m2 ) voluntarily participated in this study. Players were assessed before and after an intervention lasting 8 weeks, with three training sessions a week. Assessments of physical fitness included the Yo-Yo intermittent recovery test level 1 (YYIRT1), 10-, 20-, and 30 m sprint time (ST), running-based anaerobic sprint test (RAST) and change-of-direction time (COD). Hormonal tests ncluded cortisol, testosterone and growth hormone (GH), whereas the antioxidant assessment included superoxide dismutase (SOD), malondialdehyde (MDA) and glutathione (GSH). Results: Between-group analysis revealed no significant differences at baseline, whereas it revealed that HIRT presented significant better results than the control group on YYIRT (p = 0.032), 10 m ST (p = 0.041), 20 m ST (p = 0.040), 30 m ST (p = 0.044), RAST (p = 0.013), and COD (p = 0.031) after the intervention period. The within group analysis revealed that the HIRT group significantly improved the YYIRT1 (p < 0.001), VO2max (p < 0.001), 10 m ST (p < 0.001), 20 m ST (p = 0.006), 30 m ST (p < 0.001), RAST (p < 0.001) and COD (p < 0.001). Moreover, HIRT group significantly reduced the cortisol (p < 0.001) and MDA (p = 0.021), whereas it significantly increased the GH (p < 0.001), testosterone (p < 0.001), SOD (p = 0.009) and GSH (p = 0.005). Conclusions: The HIRT is effective for improving physical fitness, revealing significant better adaptations than controls. Moreover, hormonal and antioxidant adaptations are also confirmed after HIRT intervention.info:eu-repo/semantics/publishedVersio

Comparisons of rational engineering correlations of thermophoretically-augmented particle mass transfer with STAN5-predictions for developing boundary layers

Modification of the code STAN5 to properly include thermophoretic mass transport, and examination of selected test cases developing boundary layers which include variable properties, viscous dissipation, transition to turbulence and transpiration cooling. Under conditions representative of current and projected GT operation, local application of St(M)/St(M),o correlations evidently provides accurate and economical engineering design predictions, especially for suspended particles characterized by Schmidt numbers outside of the heavy vapor range

Is dark matter a BEC or scalar field?

This is a brief review on the history of the Bose-Einstein condensate (BEC) or boson star model of galactic dark matter halos, where ultra-light scalar dark matter particles condense in a single BEC quantum state. The halos can be described as a self-gravitating, possibly self-interacting, coherent scalar field. On a scale larger than galaxies, dark matter behaves like cold dark matter while below that scale the quantum mechanical nature suppresses the dark matter structure formation due to the minimum length scale determined by the mass m\st{>}{\sim}10^{-24} eV and the self-interaction of the particles. This property could alleviate the cusp problem and missing satellite problems of the $\Lambda$CDM model. Furthermore, this model well reproduces the observed rotation curves of spiral and dwarf galaxies, which makes the model promising.Comment: published versio

Sediment Transport Pattern Modelling in Bojong Salawe Coast Pangandaran using Mike 21

Bojong Salawe is a coastal area with unique characteristics due to a confluence of three rivers that flow through Cijulang, Cijalu, Cialit and into the Indian Ocean. With complex oceanographic conditions, the sediment transport patterns at Bojong Salawe needs to be contemplated, especially the coastal’s utilization which is quite productive. This study aims to determine the sediment types, the sediment transport patterns and the effect of sediment transport on abrasion or accretion which are supported by hydrodynamic parameters modelling such as wind, currents and tides in the west and east monsoons using hydrodynamic modules and sediment transport in MIKE 21. The results showed that the sediments in this study is 80% sandy silt and 20% sand. The sediment transport pattern models in both the west and east monsoons tend to be influenced by tidal currents, sediment types and the season itself. West monsoon has a higher sediment concentration which ranges from 0 to 8.4 kg/m3 compared to the East Monsoon with a range of 0-4 kg/m3. The effect of sediment transport on the average bed level was 0.71861 m in the west monsoon and 0.37586 m in the east monsoon whereas in the estuary (research station), the average change in West Monsoon is 0.00861 m (ST 1) and 0.07107 m (ST 2) and in the East Monsoon, it is 0.01003 m (ST 1) and 0.01147 m (ST 2). This bed level change tends to increase, indicating that the Bojong Salawe coast has experienced sedimentation (accretion)

A 'Darboux Theorem' for shifted symplectic structures on derived Artin stacks, with applications

This is the fifth in a series arXiv:1304.4508, arXiv:1305,6302, arXiv:1211.3259, arXiv:1305.6428 on the '$k$-shifted symplectic derived algebraic geometry' of Pantev, Toen, Vaquie and Vezzosi, arXiv:1111.3209. This paper extends the previous three from (derived) schemes to (derived) Artin stacks. We prove four main results: (a) If $(X,\omega)$ is a $k$-shifted symplectic derived Artin stack for $k<0$ in the sense of arXiv:1111.3209, then near each $x\in X$ we can find a 'minimal' smooth atlas $\varphi:U\to X$ with $U$ an affine derived scheme, such that $(U,\varphi^*(\omega))$ may be written explicitly in coordinates in a standard 'Darboux form'. (b) If $(X,\omega)$ is a $-1$-shifted symplectic derived Artin stack and $X'$ the underlying classical Artin stack, then $X'$ extends naturally to a 'd-critical stack' $(X',s)$ in the sense of arXiv:1304.4508. (c) If $(X,s)$ is an oriented d-critical stack, we can define a natural perverse sheaf $P^\bullet_{X,s}$ on $X$, such that whenever $T$ is a scheme and $t:T\to X$ is smooth of relative dimension $n$, then $T$ is locally modelled on a critical locus Crit$(f:U\to{\mathbb A}^1)$ for $U$ smooth, and $t^*(P^\bullet_{X,s})[n]$ is locally modelled on the perverse sheaf of vanishing cycles $PV_{U,f}^\bullet$ of $f$. (d) If $(X,s)$ is a finite type oriented d-critical stack, we can define a natural motive $MF_{X,s}$ in a ring of motives $\bar{\mathcal M}^{st,\hat\mu}_X$ on $X$, such that whenever $T$ is a finite type scheme and $t:T\to X$ is smooth of dimension $n$, then $T$ is locally modelled on a critical locus Crit$(f:U\to{\mathbb A}^1)$ for $U$ smooth, and ${\mathbb L}^{-n/2}\odot t^*(MF_{X,s})$ is locally modelled on the motivic vanishing cycle $MF^{mot,\phi}_{U,f}$ of $f$ in $\bar{\mathcal M}^{st,\hat\mu}_T$. Our results have applications to categorified and motivic extensions of Donaldson-Thomas theory of Calabi-Yau 3-foldsComment: (v2) 61 pages. Minor corrections, foundational material on perverse sheaves shortene

Geometric entanglement from matrix product state representations

An efficient scheme to compute the geometric entanglement per lattice site for quantum many-body systems on a periodic finite-size chain is proposed in the context of a tensor network algorithm based on the matrix product state representations. It is systematically tested for three prototypical critical quantum spin chains, which belong to the same Ising universality class. The simulation results lend strong support to the previous claim [Q.-Q. Shi, R. Or\'{u}s, J. O. Fj{\ae}restad, and H.-Q. Zhou, New J. Phys \textbf{12}, 025008 (2010); J.-M. St\'{e}phan, G. Misguich, and F. Alet, Phys. Rev. B \textbf{82}, 180406R (2010)] that the leading finite-size correction to the geometric entanglement per lattice site is universal, with its remarkable connection to the celebrated Affleck-Ludwig boundary entropy corresponding to a conformally invariant boundary condition.Comment: 4+ pages, 3 figure

The Hudson Bay Lithospheric Experiment (HuBLE) : Insights into Precambrian Plate Tectonics and the Development of Mantle Keels

The UK component of HuBLE was supported by Natural Environment Research Council (NERC) grant NE/F007337/1, with financial and logistical support from the Geological Survey of Canada, Canada–Nunavut Geoscience Office, SEIS-UK (the seismic node of NERC), and First Nations communities of Nunavut. J. Beauchesne and J. Kendall provided invaluable assistance in the field. Discussions with M. St-Onge, T. Skulski, D. Corrigan and M. Sanborne-Barrie were helpful for interpretation of the data. D. Eaton and F. A. Darbyshire acknowledge the Natural Sciences and Engineering Research Council. Four stations on the Belcher Islands and northern Quebec were installed by the University of Western Ontario and funded through a grant to D. Eaton (UWO Academic Development Fund). I. Bastow is funded by the Leverhulme Trust. This is Natural Resources Canada Contribution 20130084 to its Geomapping for Energy and Minerals Program. This work has received funding from the European Research Council under the European Unions Seventh Framework Programme (FP7/2007-2013)/ERC Grant agreement no. 240473 ‘CoMITAC’.Peer reviewedPublisher PD

PENERAPAN PEMBELAJARAN KOOPERATIF TIPE NUMBERED HEAD TOGETHER UNTUK MENINGKATKAN HASIL BELAJAR SISWA PADA MATA PELAJARAN MATEMATIKA DI KELAS IV SDN 21 PAREPARE

Permasalahan penelitian ini yaitu apakah penerapan pembelajaran kooperatif tipe Numbered Head Together dapat meningkatkan hasil belajar matematika pada siswa kelas IV SD N 21 Parepare Tujuan penelitian ini yaitu untuk mengetahui penerapan pembelajaran kooperatif tipe Numbered Head Together dalam meningkatkan hasil belajar siswa kelas IV SD N 21 Parepare Pendekatan yang digunakan dalam penelitian ini adalah pendekatan deskriptif kualitatif. Jenis Penelitian yang dilakukan adalah penelitian tindakan kelas yang berdaur ulang/siklus. Tindakan dalam penelitian ini dilakukan dua siklus yang mana setiap siklus melalui empat tahap yaitu perencanaan, pelaksanaan, observasi, dan refleksi. Data diperoleh melalui tes, observasi, dan dokumentasi. Teknik analisis yang digunakan dalam penelitian ini adalah analisis deskriptif kualitatif. Berdasarkan hasil penelitian diperoleh data pada siklus I berada pada kategori kurang, siklus II pada kategori cukup dan siklus III pada kategori sangat baik. Dengan demikian dapat disimpulkan bahwa penerapan pembelajaran kooperatif tipe Numbered Head Together dapat meningkatkan proses dan hasil belajar siswa tentang sifat operasi hitung bilangan bulat pada kelas IV SD N 21 ParepareKata Kunci:  Model Numbered Head Together, hasil belajar