ABSTRACT. We study the generalization of the Biot-Savart law from electrodynamics in the presence of curvature. We define the integral operator BS acting on all vector fields on subdomains of the three-dimensional sphere. By doing so, we establish a geometric setting for electrodynamics in positive curvature. When applied to a vector field, the BiotSavart operator behaves like a magnetic field;...

The evaluation of current distributions in thick superconductors from field profiles near the sample surface is investigated theoretically. A simple model of a cylindrical sample, in which only circular currents are flowing, reduces the inversion to a linear least squares problem, which is analyzed by singular value decomposition. Without additional assumptions about the current distribution (e...

Background: Postoperative pancreatic fistula (POPF) is a serious complication of pancreaticoduodenectomy (PD). Methods: We retrospectively reviewed the records of 109 consecutive patients who underwent PD between January 2006 and September 2015 in Saitama City Hospital. Preoperative and intraoperative variables were evaluated by univariate and multivariate logistic regression analyses to establ...

background- cd24 is a cell adhesion molecule that has been implicated in metastatic tumor progression cells. our aim was clarify correlation between cd24 expression and camp:cgmp ratio in murine colorectal cancer cell line (ct26) after using cholera toxin. materials and methods- the ct26 cells were cultured in microtubes for assaying camp and cgmp; also the cells were cultured in flasks for ass...

This chapter focuses on institutional investors in the German financial markets. Institutional investors are specialized financial intermediaries who collect and manage funds on behalf of small investors toward specific objectives in terms of risk, return and maturity. The major types of institutional investors in Germany are insurance companies and investment funds. We will examine the nature ...

BACKGROUND Significant myxomatous mitral regurgitation leads to progressive left ventricular (LV) decline, resulting in congestive heart failure and death. Such patients benefit from mitral valve surgery. Exercise echocardiography aids in risk stratification and helps decide surgical timing. We sought to assess predictors of outcomes in such patients undergoing exercise echocardiography. METH...

We present three fast adaptive vortex methods for the 2D Eu-ler equations. All obtain long-time accuracy at almost optimal cost by using four tools: adaptive quadrature, free-Lagrangian formulation, the fast multipole method and a nonstandard error analysis. Our error analysis halves the diierentiability required of the ow, suggests an eecient new balance of smoothing parameters , and combines ...