presented here is a generalization of the implicit enumeration algorithm that can be applied when the objec-tive function is being maximized and can be rewritten as the difference of two non-decreasing functions. also developed is a computational algorithm, named linear speedup, to use whatever explicit linear constraints are present to speedup the search for a solution. the method is easy to u...

background: background and objectives: the biological variation of body mass index (bmi) and waist circumference (wc) with age may vary by gender. the objective of this study was to investigate the functional relationship of anthropometric measures with age and sex.methods: the data were collected from a population-based cross-sectional study of 1800 men and 1800 women aged 20-70 years in north...

Finding integer solutions to norm form equations is a classical Diophantine problem. Using the units of associated coefficient ring, we can produce sequences these equations. It known that be written as tuples linear recurrence sequences. We show for certain families forms defined over quartic fields, there exist integrally equivalent making any one fixed coordinate sequence divisibility sequen...

this paper introduces discretionary imprecise data in data envelopment analysis (dea) and discusses the efficiency evaluation of decision making units (dmus) with non-discretionary imprecise data. then, suggests a method for evaluation the efficiency of dmus with non-discretionary imprecise data. when some inputs and outputs are imprecise and non-discretionary, the dea model becomes non-linear ...