We consider versions of the grasshopper problem (Goulko & Kent 2017 , 20170494) on the circle and the sphere, which are relevant to Bell inequalities. For a circle of circumference 2, we show that for unconstrained lawns of any length and arbitrary jump lengths, the supremum of the probability for the grasshopper's jump to stay on the lawn is one. For antipodal lawns, which by definition contain precisely one of each pair of opposite points and have length , we show this is true except when the jump length is of the form (/) with , coprime and odd.
View Article and Find Full Text PDFThis study examined differences in accelerometer output when subjects walked on level ground and on a treadmill. We asked 25 nondisabled participants to wear an RT3 triaxial accelerometer (StayHealthy, Inc; Monrovia, California) and walk at their "normal" and "brisk" walking speeds for 10 minutes. These activities were repeated on a treadmill using the individual speeds from level-ground walking on two occasions 1 week apart.
View Article and Find Full Text PDFThe diagnosis of ovarian carcinoma in pregnancy is rare (incidence of 0.018-0.073/1000 pregnancies).
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