For a graph G with a given list assignment L on the vertices, we give an algebraic description of the set of all weights w such that G is ( ) w L, -colorable, called permissible weights. Moreover, for a graph G with a given list L and a given permissible weight w, we describe the set of all ( ) w L, -colorings of G. By the way, we solve the channel assignment problem. Furthermore, we describe t...

An approach to decompression modeling, the reduced gradient bubble model (RGBM), is developed from the critical phase hypothesis. The phase limit is introduced, extended, and applied within bubble-nucleation theory proposed by Yount. Much is different in the RGBM algorithm, on both theoretical and applied sides, with a focus on permissible bubble excesses rather than just dissolved gas buildup,...

For 41 chemicals there exist both reasonable data on carcinogenic potency in experimental animals and also a defined Permissible Exposure Level (PEL), which is the upper limit of legally permissible chronic occupational exposure for U.S. workers. These 41 agents are ranked by an index that compares the permitted chronic human exposure to the chronic dose rate that induces tumors in 50% of labor...

Cost/benefit justifications are now required for new environmental regulations. The benefit is related to the difference between the currently existing health risk rate and the rate corresponding to the proposed permissible exposure limit. The adoption of many permissible exposure limits has been delayed by the lack of supporting human data and the use of animal data instead. This has resulted ...

In the field of occupational hygiene, the setting of permissible levels of hazards in the work environment is one of the mechanisms used in occupational health to prevent health impairment in the worker. The term “permissible level” has been defined. Basically, it is a quantitative hygiene standard for a level considered to be safe, expressed as a concentration for a defined average time. In re...

Extremely strong magnetic fields at the frequencies used in an electromagnetic articulometer (EMA) system may pose a risk to the health of a subject. To avoid such risks, the field strengths produced by any EMA system should be measured, and compared to published permissible exposure standards. This letter reports measurements of the 2-50kHz magnetic field strength of the Carstens Articulograph...

The first-order sampling of multi-band bandpass signals with arbitrary band positions is considered in this paper. Gaps between the spectral sub-bands are utilized to achieve lower sampling rates than the Nyquist. The lowest possible sampling rate along with other permissible sampling rates is identified via a unique partition of the frequency axis. With the complete identification of all the p...