BACKGROUND Although maximal heart rate (HR max) is widely used to assess exercise intensity in sport training, and particularly in soccer, there are limited data with regards to the use of age-based prediction equations of HR max in soccer players. The aim of this study was to compare the measured-HR max with two prediction equations (Fox-HR max = 220 - age and Tanaka-HR max = 208 - 0.7 × age) ...

The Bernoulli risk equation has long been used within HIV transmission models to calculate population-level incidence rates [1–3]. In an article in this issue, Fox et al. [4] use the Bernoulli risk equation to quantify the degree to which an uninfected individual in a discordant couple has been exposed to HIV, based on their past sexual practices. Consequently, Fox et al. describe the Bernoulli...

Frequency-dependent loss and dispersion are typically modeled with a power-law attenuation coefficient, where the power-law exponent ranges from 0 to 2. To facilitate analytical solution, a fractional partial differential equation is derived that exactly describes power-law attenuation and the Szabo wave equation ["Time domain wave-equations for lossy media obeying a frequency power-law," J. Ac...

I. G. Doran and J. D. McKinley, Queen’s University Belfast The paper proposes the use of an approximation, suggested by Hansen, to the exact analytical solution of the Terzaghi consolidation equation, as the basis for the determination of the coefficient of consolidation from the results of a consolidation test using a least squares error adjustment procedure. This is an area of considerable pr...

The fundamental solution of the fractional diffusion equation of distributed order in time (usually adopted for modelling sub-diffusion processes) is obtained based on its Mellin-Barnes integral representation. Such solution is proved to be related via a Laplace-type integral to the Fox-Wright functions. A series expansion is also provided in order to point out the distribution of time-scales r...

Structural and molecular changes in 1,1-diamino-2,2-dinitroethylene (DADNE, FOX-7) compressed to high pressures were investigated using both anvil cell experiments and ab-initio calculations. The experiments consisted of angledispersive x-ray diffraction analysis and Raman spectroscopy with compression. The results indicated higher compression along the b-axis than along the aor caxis, and a tr...

This paper proposes a novel nature-inspired optimization algorithm called the Fox optimizer (FOX) which mimics foraging behavior of foxes in nature when hunting preys. The is based on techniques for measuring distance between fox and its prey to execute an efficient jump. After presenting mathematical models FOX, five classical benchmark functions CEC2019 test are used evaluate it’s performance...

We consider the time-fractional Cattaneo equation involving tempered Caputo space-fractional derivative. There is an increasing interest in recent literature for applications of fractional-type equations to heat transfer models. Our main aim discuss role played by a fractional operator this framework. show that fundamental solution coincides with probability law time-changed Brownian motion, ob...