Let f be a polynomial of degree d with integer coefficients, p any prime, m any positive integer and S(f, pm) the exponential sum S(f, pm) = ∑pm x=1 epm(f(x)). We establish that if f is nonconstant when read (mod p), then |S(f, pm)| ≤ 4.41pm(1− 1 d . Let t = ordp(f ′), let α be a zero of the congruence p−tf ′(x) ≡ 0 (mod p) of multiplicity ν and let Sα(f, pm) be the sum S(f, pm) with x restrict...

Crystal Structure, Polyborides The title compounds have been prepared by arc-melting cold-pressed pellets of the elemen­ tal components. They crystallize with a new structure type, which was determined from single­ crystal X-ray diffractometer data of Th2NiB1(): Pbam, a = 564.6(2) pm, b = 1120.4(3) pm, c = 417.3(1) pm, Z = 2, R = 0.020 for 748 structure factors and 25 variable parameters. The s...

We evaluated the association between mortality outcomes in elderly individuals and particulate matter (PM) of varying aerodynamic diameters (in micrometers) [PM(10), PM(2.5), and PM(CF )(PM(10) minus PM(2.5))], and selected particulate and gaseous phase pollutants in Phoenix, Arizona, using 3 years of daily data (1995-1997). Although source apportionment and epidemiologic methods have been prev...

Detoxification and elimination of permethrin (PM) are mediated by hydrolysis via carboxylesterase (CES). Mitragyna speciosa (kratom) contains mitragynine (MG) and other bioactive alkaloids. Since PM and MG have the same catalytic site and M. speciosa is usually abused by adding other ingredients such as pyrethroid insecticides, the effects of MG and an alkaloid extract (AE) on the elimination o...

Detoxification and elimination of permethrin (PM) are mediated by hydrolysis via carboxylesterase (CES). Mitragyna speciosa (kratom) contains mitragynine (MG) and other bioactive alkaloids. Since PM and MG have the same catalytic site and M. speciosa is usually abused by adding other ingredients such as pyrethroid insecticides, the effects of MG and an alkaloid extract (AE) on the elimination o...

Postmortem (PM) and mu-calpain-induced degradation of specific skeletal muscle proteins was monitored by SDS-PAGE and Western blotting. Samples were removed from bovine longissimus thoracis (LT) at approximately 45 min PM for the preparation of at-death (0-d) myofibrils (MF). The LT was excised at 1 d PM, vacuum-packaged, and stored at 2 degrees C. Samples were removed for Warner-Bratzler shear...

BACKGROUND Chronic exposure to particulate air pollution may accelerate cognitive decline in older adults, although data on this association are limited. Our objective was to examine long-term exposure to particulate matter (PM) air pollution, both coarse ([PM 2.5-10 μm in diameter [PM(2.5-10)]) and fine (PM <2.5 μm in diameter [PM(2.5)]), in relation to cognitive decline. METHODS The study p...

Breakfast 9:00 AM Introductory Remarks 9:25 AM Jordan Snyder Partial Differential Equations 9:30 AM Joseph Biello Mathematical Physics 10:05 AM John Murray Algebra 10:30 AM Erik Carlsson Topology 11:05 AM Kevin Lamb Number Theory 11:30 AM Elena Fuchs Optimization 12:05 PM William Wright Lunch 12:30 PM Computational Mathematics 1:30 PM Thomas Strohmer Machine Learning 2:05 PM Kirill Paramonov Ma...

O-Toluic acid (OTA) and m-toluic acid (MTA) are two isomers of toluic acid that act as an important organic intermediates, mostly used in medicines and pesticides. The aim of the study was to evaluate the impact of biofield energy treatment on isotopic abundance ratios of 2 H/ 1 H, 13 C/ 1 2C, (PM+1)/PM and 18 O/ 16 O, (PM+2)/PM, in toluic acid isomers using gas chromatography-mass spectrometry...

purpose: to evaluate the effects of diurnal fasting during ramadan on intraocular pressure (iop) in healthy subjects. methods: the study was conducted on healthy male volunteer less than 40 years of age without ocular or systemic diseases who were on religious fasting during ramadan, 2004. intraocular pressure were measured at 9 am and 1, 5, and 7 pm in 2nd and 4th weeks of ramadan and also one...