Inverse spectral problem for the Schr\"odinger operator on the square lattice

We consider an inverse spectral problem on a quantum graph associated with the square lattice. Assuming that the potentials on the edges are compactly supported and symmetric, we show that the Dirichlet-to-Neumann map for a boundary value problem on a finite part of the graph uniquely determines the potentials. We obtain a reconstruction procedure, which is based on the reduction of the differential Schr\"odinger operator to a discrete one. As a corollary of the main results, it is proved that the S-matrix for all energies in any given open set in the continuous spectrum uniquely specifies the potentials on the square lattice

GOLF PUTTING GRIP DESIGN INFLUENCES ON PUTTING KINEMATICS

Putting is considered one of the most important skills in golf. Golf club designs have been consistenly introducing new design to enhance performance. The purpose of this paper was to look into the effects of grip sizes on putting kinematics. Ten (n=7) male, right-handed, novice-skilled golfers (height 172.4±3.4cm, weight 72.3±2.4kg, age 38.6 ±1.3yrs, and handicap 9.5 ±1.1) were recruited for the study. Research results suggest that larger grip design have affect on the kinematics of the putting characterics, with trait of shorter backswing, decrease in total rotation during downswing and shorterened rhythm &timing. Future study focuses on the cordinate change of body joints in relation to phase and relative club position, and synchronize with EMG data between various skill level

Structural insights into the gating of DNA passage by the topoisomerase II DNA-gate.

Type IIA topoisomerases (Top2s) manipulate the handedness of DNA crossovers by introducing a transient and protein-linked double-strand break in one DNA duplex, termed the DNA-gate, whose opening allows another DNA segment to be transported through to change the DNA topology. Despite the central importance of this gate-opening event to Top2 function, the DNA-gate in all reported structures of Top2-DNA complexes is in the closed state. Here we present the crystal structure of a human Top2 DNA-gate in an open conformation, which not only reveals structural characteristics of its DNA-conducting path, but also uncovers unexpected yet functionally significant conformational changes associated with gate-opening. This structure further implicates Top2's preference for a left-handed DNA braid and allows the construction of a model representing the initial entry of another DNA duplex into the DNA-gate. Steered molecular dynamics calculations suggests the Top2-catalyzed DNA passage may be achieved by a rocker-switch-type movement of the DNA-gate

LEVERAGING SPORTING EQUIPMENT BALANCE AND WEIGHT DISTRUBUTION INFLUENCE ON PUTTING KINEMATICS –A STUDY ON COUNTER-BALANCED PUTTER DESIGN

In golf, putting is considered one of the most important factors for scoring of professional Tour players (Alexander & Kern, 2005), and accounts for 43% ± 2% per round (Pelz & Frank, 2000). Unlike the long game, short game like putting, is focused on its accuracy and consistency (Hume, Keogh & Reid, 2005). Putting stroke requires accurate and repeatable stroke especially during impact stage, and one of the most recent putter design is to grip down or to have extra weights on the grip end of the club, also known as the counterbalanced putter

2-{(1R,2R)-2-[Bis(4-methyl­benz­yl)amino]­cyclo­hex­yl}isoindoline-1,3-dione

In the title mol­ecule, C30H32N2O2, the two tolyl rings form dihedral angles of 65.8 (1) and 6.6 (1)° with the isoindole-1,3-dione mean plane. The cyclo­hexane ring adopts a chair conformation

The effect of chemotherapy combined with recombination mutant human tumor necrosis factor on advanced cancer

BACKGROUND: Past studies suggested that tumor necrosis factor (TNF) assisted anti-tumor treatment and intensified the sensitivity of chemotherapy. However its clinical application has been curbed because of its low purity, high dosage, and strong toxicity. This research, through perspective random clinical control experiment, observed the therapeutic effect of the treatment of late malignant tumor through the injection of recombinant mutant human tumor necrosis factor (rmhTNF) combined with general chemotherapy and its adverse reactions. METHODS: 105 patients with advanced malignant tumor were randomly divided into trial group, 69 patients, and control group, 36 patients. Injection of rmhTNF 4 × 10(6)u/m(2 )was given to the trial group, from the 1(st )to 7(th )days, the 11(th )to 17(th )days combined with chemotherapy course. The chemotherapy plan was as follows: CAP for patients with the NSCLC; FAM for patients with gastric cancer; FC for patients with colorectal cancer. One treatment cycle lasted for 21 days and two cycles were scheduled. The control group was given only the same chemotherapy as the trial group. RESULTS: In the trial group there was 1 CR case and 12 PR cases, and the response rate is 13/69 (18.84%); in the control group 1 PR case, the response rate 1/36 (2.78%). The response rate of the trial group was significantly higher than that of the control group (P = 0.022). The response rate for NSCLC in the trial group was 8/17 (47.06%), and 1/6 (16.67%) in the control group. The response rates for gastric cancer and colorectal cancer in the trial groups also were higher than those of the control groups. After the treatment the KPS is 89.00 ± 9.92 in the trial group, and 84.17 ± 8.84 in the control group, with a significant difference between the two groups (P = 0.028). The adverse reactions of rmhTNF injection included: pain in the injection area, chill, hardening and swelling and redness in the injection area, fever, ostealgia and myosalgia, and cold-like symptoms. All these adverse reactions were mild and bearable. CONCLUSIONS: The administration of rmhTNF injection in combination with general chemotherapy is an effective and secure means in treating advanced malignant tumor

Multi-indicators decision for product design solutions: a TOPSIS-MOGA integrated model

Design decisions occur in all phases of product design and largely affect the merits of the final solution, which will ultimately determine the success or failure of the product in the market. Product design is a continuous process, and a large number of existing studies have proposed decision methods and decision indicators for the characteristics of different stages of design. These methods and indicators can meet the requirements of one of the phases: demand analysis, conceptual design, or detailed design. However, further research can still be conducted on the integration of methods throughout the design phase, using intelligent design methods, and improving the design continuity and efficiency. To address this problem, a TOPSIS-MOGA-based multi-indicators decision model for product design solutions is proposed, including its product design process, decision algorithm, and selection method. First, a TOPSIS-MOGA integrated model for conceptual design and detailed design process is established, the continuity of decision-making methods is achieved by integrating decision indicators. Second, conceptual design solutions are selected through the technique for order of preference by similarity to ideal solution (TOPSIS), based on hesitant fuzzy linguistic term sets and entropy weight method. Finally, detailed design solutions are selected through a multiobjective genetic algorithm (MOGA), based on a polynomial-based response surface model and central combination experimental design method. A case study of the decision-making in the design of high-voltage electric power fittings is presented, the conceptual design phase and the detailed design phase are connected through the indicators, which demonstrates that the proposed approach is helpful in the decision-making of the product design solutions