Operator cutoff regularization based on the original Schwinger's proper-time formalism is examined. By constructing a regulating smearing function for the proper-time integration, we show how this regularization scheme simulates the usual momentum cutoff prescription yet preserves gauge symmetry even in the presence of the cutoff scales. Similarity between the operator cutoff regularization and...

In this paper, we study a generalized version of the Weber problem finding point that minimizes sum its distances to finite number given points. our setting, these may be cut off at value [Formula: see text], and allow for option an empty solution fixed cost text]. We analyze under which circumstances problems can reduced simpler problem, also when definitely have solve more complex with cutoff...

Net pay thickness is defined as that portion of a reservoir which contains economically producible hydrocarbons with today’s technology, prices, and costs. This thickness is a key parameter of the volumetric calculation of in-place hydrocarbons, well test interpretation, and reservoir characterization. A reservoir interval is considered as net pay when it contains hydrocarbons that can flow at ...