In a recent paper, Andrews, Dixit, and Yee introduced a new spt-type function spt ω (n), which is closely related to Ramanujan’s third order mock theta function ω(q). Garvan and Jennings-Shaffer introduce a crank function which explains congruences for spt ω (n). In this note, we study asymptotic behavior of this crank function and confirm a positivity conjecture of the crank asymptotically. We...

Previously we have demonstrated that an accelerated arm ergometry testing protocol results in a higher peak oxygen consumption than continuous or discontinuous protocols reported in the literature (Brit. J. Sports Med. 20: 25-26, 1986). The purpose of this investigation was to determine if an accelerated protocol was superior to two commonly used protocols in cycle ergometry. Nine male subjects...

It was predicted that sitting on a stability ball during arm ergometry would elevate cardiovascular parameters when compared to sitting on a chair and that this would be associated with greater recruitment of trunk and leg skeletal muscles. METHODS Open-circuit spirometry, videotaping, blood pressure, heart rate, and EMG were conducted during rest and four minute stages of 15 W, 30 W, and 45 ...

BARRATT, P. R., T. KORFF, S. J. ELMER, and J. C. MARTIN. Effect of Crank Length on Joint-Specific Power during Maximal Cycling.Med. Sci. Sports Exerc., Vol. 43, No. 9, pp. 1689–1697, 2011. Previous investigators have suggested that crank length has little effect on overall short-term maximal cycling power once the effects of pedal speed and pedaling rate are accounted for. Although overall maxi...

Andrews, Garvan and Liang introduced the spt-crank for vector partitions. We conjecture that for any n the sequence {NS(m,n)}m is unimodal, where NS(m,n) is the number of S-partitions of size n with crank m weight by the spt-crank. We relate this conjecture to a distributional result concerning the usual rank and crank of unrestricted partitions. This leads to a heuristic that suggests the conj...

The crank unit is defined as the basic unit of the crank-group driving mechanism for the modular design and production, and the balance methods of inertia force are researched on the crank unit in crank-group driving mechanism’s modular design. The factors affecting the balance weight’s position and mass are studied. This indicates that the product of the mass and gyration radius of the balance...