This work studies the typical behavior of random integer-valued Lipschitz functions on expander graphs with sufficiently good expansion. We consider two families of functions: M -Lipschitz functions (functions which change by at most M along edges) and integer-homomorphisms (functions which change by exactly 1 along edges). We prove that such functions typically exhibit very small fluctuations....

is said to be typically-real of order p, if in (1.1) the coefficients bn are all real and if either (I) f(z) is regular in |a| =S1 and 3/(ei9) changes sign 2p times as z = eie traverses the boundary of the unit circle, or (II) f(z) is regular in | z\ < 1 and if there is a p < 1 such that for each r in p<r<l, $f(reie) changes sign 2p times as z = reie traverses the circle \z\ =r. This set of fun...

This study presents a method to quantify a child's sensitivity to passive limb motion, which is an important aspect of kinaesthesia not easily examined clinically. Psychophysical detection thresholds to passive forearm motion were determined in a group of 20 typically developing pre-adolescent children (mean age 12y 6mo, SD 10mo, range 11-13y) and a group of 10 healthy adults (mean age 29y 10mo...

a comprehensive study on the chemical composition of rainwater was carried out in obuasi, a gold mining town in ghana. rainwater samples were analyzed for major ions (ca2+,mg2+, k+, na+, nh4+, cl-, no3- and so4 2-) and trace metals (fe, al, zn, pb, cr, and cd). the rainwater was typically acidic with a mean ph of 4.76±0.47, which ranged from 4.0 to 5.6. the low ph found in the water suggests t...

Two arguments due to Russell are examined, and found to show that the notion of causation as full determination doesn’t mesh easily with deterministic global physics and the distinction between effective and ineffective strategies. But a local notion of causation as involving a certain kind of counterfactual dependence is, I argue, compatible with Russell’s conclusions. I defend it from a resur...

Two arguments due to Russell are examined, and found to show that the notion of causation as full determination doesn’t mesh easily with deterministic global physics and the distinction between effective and ineffective strategies. But a local notion of causation as involving a certain kind of counterfactual dependence is, I argue, compatible with Russell’s conclusions. I defend it from a resur...

Traditional benchmarking models in software engineering are typically based on the concept of productivity, first defined as a single ratio of output to input, and then combined with various cost factors leading to a single value. By contrast, the concept of performance is more comprehensive than productivity, and can handle other dimensions as well, like quality. Multidimensional models, such ...

The transgender inmate population presents unique challenges and opportunities in medical, psychiatric, and correctional systems of care worldwide. We present a review of both case law and efforts within the medical and psychiatric communities to address transgender needs more consistently over the past few decades. In addition, we discuss the standardized implementation of core principles with...