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Introducing Randomness into First-Order and Second-Order Deterministic Differential Equations
(2010)
We incorporate randomness into deterministic theories and compare analytically and numerically some well-known stochastic theories: the Liouville process, the Ornstein-Uhlenbeck process, and a process that is Gaussian and ...
Using the Power Balance Model to Simulate Cross-Country Skiing on Varying Terrain
(2014)
The current study adapts the power balance model to simulate cross-country skiing on varying terrain. We assumed that the skier’s locomotive power at a self-chosen pace is a function of speed, which is impacted by friction, ...
Stochastic Theories and Deterministic Differential Equations
(2010-05)
We discuss the concept of “hydrodynamic” stochastic theory, which is not based on the traditional Markovian concept. A Wigner function developed for friction is used for the study of operators in quantum physics, and for ...
On the Kinetics of Anaerobic Power
(2012)
Background
This study investigated two different mathematical models for the kinetics of anaerobic power. Model 1 assumes that the work power is linear with the work rate, while Model 2 assumes a linear relationship ...
Stochastic Analysis of England Grain Prices 1750-1850
(2012)
We study the prices of grain in England 1750-1850, with special attention to the Tamboro
volcano eruption time period 1815-1820. Two different types of time series are constructed and
compared with the historical data. ...
On the Big Bang Cosmology as a Kinematic Event in Newtonian Cosmology Modified by Dark Energy
(2012)
The concepts dark matter and dark energy are commonly used to explain the universe.
The dark energy can be conceived as a property of vacuum or the ether. However, a
quite different but also common approach is to modify ...
Comparing VO2max Improvement in Five Training Methods
(2012)
This paper presents a theoretical study comparing the improvement of the whole body
maximum oxygen uptake (maximum aerobic power or VO2max) when training at different
intensities and with different methods matched for ...
A simulation of cross-country skiing on varying terrain by using a mathematical power balance model
(2013)
The current study simulated cross-country skiing on varying terrain by using a power balance model. By applying the hypothetical inductive deductive method, we compared the simulated position along the track with actual ...