A Note on Bounds for the Supremum Metric for Discrete Random Variables

For positive or negative integer-valued random variables X and Y with finite second moments the inequality sup \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop {\sup }\limits_n |\Pr \{ X \le n\} - \Pr \{ Y \le n\} |\, \le \,|EX - EY| + \frac{1}{2}(EX(EX - 1) + (EY(Y - 1)) $\end{document} is established by elementary manipulation, and shown to be tight. Use of generating functions and an inversion formula yields the larger bound with 1/2 replaced by 2/π.     

Quantum-Gravity Thermodynamics, Incorporating the?Theory of Exactly Soluble Active Stochastic Processes, with Applications

A re-visitation of QFT is first cited, deriving the Feynman integral from the theory of active stochastic processes (Glueck and Hueffler, Phys. Lett. B. 659(1–2):447–451, 2008; Hueffel and Kelnhofer, Phys. Lett. B 588(1–2):145–150, 2004). We factor the lie group “generator” of the inverse wavefunction over an entropy-maximizing basis. Performing term-by-term Ito-integration leads us to an analytical, evaluable trajectory for a charged particle in an arbitrary field given a Maximum-Entropy distribution. We generalize this formula to many-body electrodynamics. In theory, it is capable of predicting plasma’s thermodynamic properties from ionic spectral data and thermodynamic and optical distributions. Blessed with the absence of certain limitations (e.g., renormalization) strongly present in competing formalisms and the incorporation of research related to many different phenomena, we outline a candidate quantum gravity theory based on these developments.     

A model for the apparent decrease in optical transmittance of thediabetic eye

This paper compares observed changes of ocular transmittance at short and long wavelengths in diabetic patients with values predicted by a model based on the Rayleigh light scattering properties of albumin. Selective chromatic adaptation was used to obtain critical flicker fusion (CFF) frequency thresholds from 21 subjects and 18 patients with insulin-dependent diabetes. The Ferry-Porter characteristic of each color-sensitive mechanism of each patient was compared to age-specific control values. For those eyes without an indication of neural injury, changes in optical density associated with the red- and blue-sensitive mechanisms were calculated and adjusted to reflect accelerated yellowing of the lens produced by increased duration of diabetes. The range of concentration of glycosylated albumin required to fit the model to the adjusted short-wavelength changes in optical density was determined and used to calculate the theoretical long-wavelength changes in optical density. The experimentally derived long-wavelength changes in optical density fell within the 95% confidence level of the values described by the model. These results support the premise that the apparent decrease in optical transmittance observed in patients with diabetes mellitus is caused by light scattering produced by dilute increase of plasma proteins within the retina.     

Long range dependence of point processes, with queueing examples

Possible definitions of the long range dependence (LRD) of a stationary point process are discussed. Examples from the standard queueing literature are considered and shown to be amenable to yielding processes with long range count dependence. In particular the effect of the single-server queueing operator, whereby one point process is transformed into another via the mechanism of a simple queue, is examined for possible long range dependence of both the counting and interval properties of the output process. For an infinite server queue, the output is long range count dependent if and only if the input is long range count dependent.     

Optically pumped CHClF2and C2H5I submillimeter wave lasers

Submillimeter wave laser action is reported for the first time in chlorodifluoromethane and ethyl iodide. Five new laser transitions have been produced by optical pumping with a chopped CO2laser.     

Harmonic Composition of Low-Frequency Electromagnetic Emissions Associated with High-Voltage Transmission

Electric-field-strength measures of the spectrum between 10 and 200 kHz were obtained under dry conditions near a 500-kV transmission line. Comparison of the magnitudes of electric field strength between the odd and even harmonics of 60 Hz revealed a marked asymmetry. The ratio of odd to even harmonic field strength ranged from 19 to 3.3. A primary source of these emissions may be produced by components within the power systems with nonlinearities that are best described by odd functions.     

Community Fear of Nonionizing Radiation: A Field Investigation

Four children from the same school class developed cancer. Because of concern in the community, a field study designed to document levels of environmental, nonionizing radiation was undertaken. Two school sites were investigated, the one with the cluster of cases and the other without known cases of cancer. The measured values of nonionizing radiation at both sites were not different and were well below existing exposure standards.     

Quantitative Posturography: Use in Multiple Sclerosis

Average displacement of anterior-posterior sway over a 10 s epoch in the quietly standing human was determined for both the eyes open and eyes closed conditions. Average difference of displacement between these two conditions was calculated. From the control measures (n = 139) normative values were defined for three age ranges. Sway characteristics of 113 patients with multiple sclerosis were also obtained. Each patient was also assigned a numerical score indicative of overall neurologic findings. In comparison to the control measures, few of the minimally impaired patients showed an abnormality in sway; however, all of the most severely impaired patients exhibited an abnormal displacement of sway with the eyes closed.