In this note, we study how the depths of multiplier ideals behave under restriction. We also study possible values of the depths of multiplier ideals in the filtrations induced from maximal ideal sheaves. We then use it to give a sufficient condition for the integral closedness of the product of a multiplier ideal and a power of maximal ideal sheaf in the spirit of Huneke.

With the aim to determine influence of dominant interlayer cation on sorption and diffusion properties bentonite, experiments with Sr compacted homoionous Ca- Na-forms Czech natural Mg/Ca bentonite using planar source method were performed. The was 1400 kg·m−3, lasted 1, 3 or 5 days. Two methods apparent coefficient Da determination based analytical solution equation for ideal boundary conditio...

We define the Segre numbers of an ideal as a generalization of the multiplicity of an ideal of finite colength. We prove generalizations of various theorems involving the multiplicity of an ideal such as a principle of specialization of integral dependence, the Rees-Böger theorem, and the formula for the multiplicity of the product of two ideals. These results are applied to the study of variou...

This paper investigates the reverberation time estimation methods which employ backward integration of adaptively identified room impulse responses (RIRs). Two kinds of conditions are considered; the first is the "ideal condition" where the anechoic and reverberant signals are both known a priori so that the RIRs can be identified using system identification methods. The second is that only the...

OBJECTIVE Pressures for men to conform to a lean, muscular ideal have, in part, contributed to eating disorder and muscle dysmorphia symptoms, yet few programs have been developed and empirically evaluated to help men. This study investigated the acceptability and efficacy of a cognitive dissonance-based (DB) intervention in reducing eating disorder and muscle dysmorphia risk factors in men wit...

le chatelier's principle is used as a very simple way to predict the effect of a change in conditions on a chemical equilibrium. . however, several studies have reported the violation of this principle, still there is no reported simple mathematical equation to express the exact condition of violation in the gas phase reactions. in this article, we derived a simple equation for the violati...

Magnetic reconnection is a driving engine of solar flares, stellar flares, and quite probably bursty events in high-energy astrophysical sites. The reconnection process is driven by a small-scale “dissipation region” surrounding the reconnection point (X-point), at which a plasma ideal condition breaks down. Recently, kinetic particle-in-cell (PIC) simulations have revealed that the electron id...

For an ideal I with a positive dimensional real variety VR(I), based on moment relaxations, we study how to compute a Pommaret basis which is simultaneously a Gröbner basis of an ideal J generated by the kernel of a truncated moment matrix and satisfying I ⊆ J ⊆ I(VR(I)), VR(I) = VC(J) ∩ R. We provide a certificate consisting of a condition on coranks of moment matrices for terminating the algo...