Cardiorespiratory fitness assessment with leg cycle exercise testing may be influenced by motor impairments in the paretic lower extremity. Hence, this study examined the usefulness of a unilateral arm crank exercise test to assess cardiorespiratory fitness in individuals with stroke, including sixteen individuals with hemiparetic stroke (mean ± SD age, 56.4 ± 7.5 years) and 12 age- and sex-mat...

In [1] Andrews and Lewis conjecture that the sign of the number of partitions of n with crank congruent to 0 mod 3, minus the number of partitions of n with crank congruent to 1 mod 3 is determined by the congruence class of n mod 3 apart from a finite number of specific exceptions. We prove this by using the “Circle Method” to approximate the value of this difference to great enough accuracy t...

In 2003, Atkin and Garvan initiated the study of rank and crank moments for ordinary partitions. These moments satisfy a strict inequality. We prove that a strict inequality also holds for the first rank and crank moments of overpartitions and consider a new combinatorial interpretation in this setting.

In this paper, Crank-Nicholson method for solving fractional wave equation is considered. The stability and consistency of the method are discussed by means of Greschgorin theorem and using the stability matrix analysis. Numerical solutions of some wave fractional partial differential equation models are presented. The results obtained are compared to exact solutions.

A CRANK has been defined, probably by Bernard Shaw, champion of all cranks, as a person who holds and acts upon an opinion that is contrary to orthodox teaching, but it is claimed directly he has converted a sufficiently large number of his fellows to his point of view he ceases to be a crank. This is seldom true, as all worthy cranks have more than one arrow in their quiver. They have made the...

The aim of our study was to compare crank torque profile and perceived exertion between the Monark ergometer (818 E) and two outdoor cycling conditions: level ground and uphill road cycling. Seven male cyclists performed seven tests in seated position at different pedaling cadences: (a) in the laboratory at 60, 80, and 100 rpm; (b) on level terrain at 80 and 100 rpm; and (c) on uphill terrain (...

Boundary value methods are applied to find transient solutions of M/M/2 queueing systems with two heterogeneous servers under a variant vacation policy. An iterative method is employed to solve the resulting large linear system and a Crank-Nicolson preconditioner is used to accelerate the convergence. Numerical results are presented to demonstrate the efficiency of the proposed method.