Depths and Stanley depths of path ideals of spines

Depths of Multiplier Ideals and Integral Closure

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.

Using "Residual Depths" to Monitor Pool Depths Independently of Discharge

As vital components of habitat for stream fishes, pools are often monitored to follow the effects of enhancement projects and natural stream processes. Variations of water depth with discharge, however, can complicate monitoring changes in the depth and volume of pools. To subtract the effect of discharge on depth in pools, residual depths can be measured. Residual depth is the difference in de...

Hidden Depths

The radiograph on this issue’s front cover demonstrates a normal image of the abdomen. It is a favourite of mine and one that I use routinely in teaching undergraduate medical students. Take a good look. You may notice a curvilinear gas density projected within the pelvis. See it? This is what a tampon looks like (figure 1). It’s a subtle finding, but once seen, the radiographic configuration i...

High altitude diving depths.

In order to make any sea level dive table usable during high altitude diving, a new conversion factor is created. We introduce the standardized equivalent sea depth (SESD), which allows conversion of the actual lake diving depth (ALDD) to an equivalent sea dive depth. SESD is defined as the sea depth in meters or feet for a standardized sea dive, equivalent to a mountain lake dive at any altitu...

The Lower Depths