Nonlinear Grassmann Sigma Models in Any Dimension and An Infinite Number of Conserved Currents

We first consider nonlinear Grassmann sigma models in any dimension and next construct their submodels. For these models we construct an infinite number of nontrivial conserved currents. Our result is independent of time-space dimensions and, therfore, is a full generalization of that of authors (Alvarez, Ferreira and Guillen). Our result also suggests that our method may be applied to other nonlinear sigma models such as chiral models, $G/H$ sigma models in any dimension.Comment: 11 pages, AMSLaTe

CGC predictions for p+Pb collisions at the LHC

We present predictions for total multiplicities and single inclusive particle production in proton-lead collisions at the LHC. The main dynamical input in our calculations is the use of solutions of the running coupling BK equation tested in e+p data. We use a Monte-Carlo treatment of the nuclear geometry and either $k_t$-factorization or the hybrid formalisms to describe particle production in the central and forward rapidity regions, respectively.Comment: 17 pages, 13 figures; v1: draft of predictions submitted in time for the upcoming p+Pb test run at the LHC; a more polished version will follow soon. v2: text and discussion cleaned up. v3: added spectra at 5 TeV (pp and p+Pb mb), final version as submitted to Nucl Phys

Submodels of Nonlinear Grassmann Sigma Models in Any Dimension and Conserved Currents, Exact Solutions

In the preceding paper(hep-th/9806084), we constructed submodels of nonlinear Grassmann sigma models in any dimension and, moreover, an infinite number of conserved currents and a wide class of exact solutions. In this paper, we first construct almost all conserved currents for the submodels and all ones for the one of ${\bf C}P^1$-model. We next review the Smirnov and Sobolev construction for the equations of ${\bf C}P^1$-submodel and extend the equations, the S-S construction and conserved currents to the higher order ones.Comment: 13 pages, AMSLaTex; an new section and an appendix adde

CHANGES IN MECHANICAL WORK AND JOINT CONTRIBUTIONS OF THE LOWER LIMB JOINTS DUE TO FATIGUE IN DISTANCE RUNNING

The purpose of this study was to investigate changes in work, and joint contributions by the lower limb joints in response to fatigue in distance running and to obtain insight into maintaining the running velocity. Fifteen male distance runners ran a 4000 m trial in even pace. Running motion and ground reaction force were collected each lap and two- imensional inverse dynamics were performed to calculate the lower limb joint torques, powers and work in the initial, middle and final stages of the trial. The joint contributions of the lower limb joints represented the ratio of the work of each joint to the total mechanical work. Results indicated that the mechanical work and joint contribution did not change significantly from the initial to the final stages of the trial. The joint with the largest contribution decreased the joint contribution from the middle to the final stage, although these changes varied runner by runner. It was concluded that the lower limb joints could compensate each other to maintain the total work output during the trial

THE COMPARISON TO THE CHARACTERISTICS OF THREE-DIMENSIONAL JOINT KINETICS BETWEEN SINGLE LEG AND DOUBLE LEG REBOUND JUMP

The purpose of this study was to clarify the differences between the SRJ and DRJ in terms of three-dimensional joint kinetics for the takeoff leg. Twenty male track and field athletes were performed repeated rebound jump with single leg (SRJ) and double leg (DRJ). Kinematics and kinetics data were recorded using Vicon T20 system (250 Hz) and force platforms (1000 Hz). When comparing a SRJ to a DRJ, the characteristics of the former are as follows: 1) the jump height by a single leg is significantly higher because of the larger hip joint work around the extension-flexion, especially on the abduction-adduction axes; 2) the hip extension and abduction torque is larger; and 3) in the SRJ, the hip abduction torque is larger than the hip extension torque. Therefore, the joint kinetics of the SRJ is characterized by the large hip abduction torque, in addition to the large hip extension torque

CHANGES IN THE MECHANICAL ENERGY OF THE SUPPORT LEG FOR SKILLED RACE WALKERS

The purpose of this study was to investigate changes in the mechanical energy of the legs of skilled race walkers during the support phase and to identify technical factors that produce high walking speed. Eleven skilled male race walkers walked on a 50 m walkway at the speed which was decided from the 10,000 m race record for each subject. The Ground reaction forces and motion data were collected with force platforms (500 Hz) and a high-speed VTR camera (250 Hz). Inverse dynamics was applied to compute the segmental mechanical energy and the joint kinetics of the support leg. Changes in the mechanical energy of the support leg were dependent upon the joint force power at the support hip. The increase in mechanical energy of the support leg should help the whole body drive forward and produce high walking speed

Automated Sperm Assessment Framework and Neural Network Specialized for Sperm Video Recognition

Infertility is a global health problem, and an increasing number of couples are seeking medical assistance to achieve reproduction, at least half of which are caused by men. The success rate of assisted reproductive technologies depends on sperm assessment, in which experts determine whether sperm can be used for reproduction based on morphology and motility of sperm. Previous sperm assessment studies with deep learning have used datasets comprising images that include only sperm heads, which cannot consider motility and other morphologies of sperm. Furthermore, the labels of the dataset are one-hot, which provides insufficient support for experts, because assessment results are inconsistent between experts, and they have no absolute answer. Therefore, we constructed the video dataset for sperm assessment whose videos include sperm head as well as neck and tail, and its labels were annotated with soft-label. Furthermore, we proposed the sperm assessment framework and the neural network, RoSTFine, for sperm video recognition. Experimental results showed that RoSTFine could improve the sperm assessment performances compared to existing video recognition models and focus strongly on important sperm parts (i.e., head and neck).Comment: Accepted at Winter Conference on Applications of Computer Vision (WACV) 202