We propose an empirical formula for the static field ionization rates of atoms and molecules by extending the well-known analytical tunnelling ionization rates to the barrier-suppression regime. The validity of this formula is checked against ionization rates calculated from solving the Schrödinger equation for a number of atoms and ions. The empirical formula retains the simplicity of the orig...

the dynamic probe is an effective tool used in site investigation. it is more economic than the use of direct drilling, particularly in explorations with moderate depth. this paper presents an experimental study to investigate the capability of using dynamic probing to evaluate the shear strength and compaction percent of fine soil. a series of dynamic probe tests were carried out at 6 differen...

We suppose that the statistician observes some large number of estimates z(i), each with its own unobserved expectation parameter μ(i). The largest few of the z(i)'s are likely to substantially overestimate their corresponding μ(i)'s, this being an example of selection bias, or regression to the mean. Tweedie's formula, first reported by Robbins in 1956, offers a simple empirical Bayes approach...

In an iodometric titration method for iodine (or chlorine) analysis, the percent recovery of iodine (or chlorine) decreases in the low concentration region and at the relatively higher temperature range. We have shown that the percent recovery vs. concentration curve can be expressed by a simple empirical formula. The empirical formula contains parameters that depend on temperature and those pa...

FOSAMAX® (alendronate sodium) is a bisphosphonate that acts as a specific inhibitor of osteoclastmediated bone resorption. Bisphosphonates are synthetic analogs of pyrophosphate that bind to the hydroxyapatite found in bone. Alendronate sodium is chemically described as (4-amino-1-hydroxybutylidene) bisphosphonic acid monosodium salt trihydrate. The empirical formula of alendronate sodium is C4...

The capacitance of a parallel plate capacitor is formulated in basic electrostatics, assuming that the separation between the two electrode plates is very narrow and the fringe field of the edges is negligible. However, in practical problems of electrical and electronic engineering there are many cases where the plate separation is wide and the fringe field effect cannot be neglected. In our pr...