21 citations · 58 across the 29 of their papers we have counts for
33 papers
On the brachistochrone problem for cycling ascents
Len Bos, Michael A. Slawinski, Raphaël A. Slawinski +1
VAM ({\it velocità ascensionale media}) is a measurement that quantifies a cyclist's climbing ability. We show that to minimize the time to attain a given height gain\, -- \,which…
On minimizing cyclists' ascent times: Part II
Len Bos, Michael A. Slawinski, Raphaël A. Slawinski +1
We formulate an optimization of a bicycle ascent time under the constraints of the average, maximum, and minimum powers. In contrast to the first part of this study, we do not rest…
On minimizing cyclists' ascent times
Len Bos, Michael A. Slawinski, Raphaël A. Slawinski +1
We prove that, given an average power, the ascent time is minimized if a cyclist maintains a constant ground speed regardless of the slope. Herein, minimizing the time is equivalen…
Modelling of a cyclist's power for time trials on a velodrome
Len Bos, Michael A. Slawinski, Raphaël A. Slawinski +1
We formulate a phenomenological model to study the power applied by a cyclist on a velodrome\, -- \,for individual timetrials\, -- \,taking into account the straights, circular arc…
Modelling of cyclist's power to overcome dissipative forces on a velodrome
Len Bos, Michael A. Slawinski, Raphaël Slawinski +1
We model the instantaneous power applied by a cyclist on a velodrome -- for individual pursuits and other individual time trials -- taking into account its straights, circular arcs…
On modelling bicycle power-meter measurements
Tomasz Danek, Michael A. Slawinski, Theodore Stanoev
We combine power-meter measurements with GPS measurements to study the model that accounts for the use of power by a cyclist. The model takes into account the change in elevation a…
Selecting velocity models using Bayesian Information Criterion
Tomasz Danek, Bartosz Gierlach, Ayiaz Kaderali +2
We present a strategy for selecting the values of elasticity parameters by comparing walk-away vertical seismic profiling data with a multilayered model in the context of Bayesian…
On modelling bicycle power for velodromes: Part II Formulation for individual pursuits
Len Bos, Michael A. Slawinski, Raphaël A. Slawinski +1
We model the instantaneous power on a velodrome--as applied to individual pursuits and other individual time trials--taking into account its straights, circular arcs, and connectin…
On maximizing VAM for a given power: Slope, cadence, force and gear-ratio considerations
Len Bos, Michael A. Slawinski, Theodore Stanoev
The velocità ascensionale media (VAM) is measurement that quantifies a cyclist's climbing ability. It depends on both the ground speed of a bicycle-cyclist system and the slope of…
On modelling bicycle power-meter measurements: Part I. Estimating effects of air, rolling and drivetrain resistance
Tomasz Danek, Michael A. Slawinski, Theodore Stanoev
Power-meter measurements together with GPS measurements are used to study the model that accounts for the use of power by a cyclist. The focus is on estimating the coefficients of…
On modelling bicycle power for velodromes: Part I: Formulation for individual pursuits
Michael A. Slawinski, Raphaël A. Slawinski, Theodore Stanoev
For a moving bicycle, the power can be modelled as a response to the propulsion of the centre of mass of the bicycle-cyclist system. On a velodrome, an accurate modelling of power…
On modelling bicycle power-meter measurements: Part II. Relations between rates of change of model quantities
Tomasz Danek, Michael A. Slawinski, Theodore Stanoev
Power-meter measurements are used to study a model that accounts for the use of power by a cyclist. The focus is on relations between rates of change of model quantities, such as p…
Guided waves as superposition of body waves
David R. Dalton, Michael A. Slawinski, Theodore Stanoev
We illustrate properties of guided waves in terms of a superposition of body waves. In particular, we consider the Love and SH waves. Body-wave propagation at postcritical angles--…
On Christoffel roots for nondetached slowness surfaces
Len Bos, Michael A. Slawinski, Theodore Stanoev
The only restriction on the values of the elasticity parameters is the stability condition. Within this condition, we examine Christoffel equation for nondetached slowness sur…
On orthogonal transformations of Christoffel equations
Len Bos, Michael A. Slawinski, Theodore Stanoev +1
The purpose of this paper is to prove the equivalenceunder rotations of distinct termsof different forms of a determinantal equation that appears in the studies of wave propa…
Applications of Graph Integration to Function Comparison and Malware Classification
Michael A. Slawinski, Andy Wortman
We classify .NET files as either benign or malicious by examining directed graphs derived from the set of functions comprising the given file. Each graph is viewed probabilisticall…
On deformation-gradient tensors as two-point tensors in curvilinear coordinates
Andrey Melnikov, Michael A. Slawinski
We derive a general expression for the deformation-gradient tensor by invoking the standard definition of a gradient of a vector field in curvilinear coordinates. This expression s…
On the Backus average of layers with randomly oriented elasticity tensors
Len Bos, Michael A. Slawinski, Theodore Stanoev
As shown by Backus (1962), the average of a stack of isotropic layers results in a transversely isotropic medium. Herein, we consider a stack of layers consisting of a randomly ori…
On effects of inhomogeneity on anisotropy in Backus average
Filip P. Adamus, Ayiaz Kaderali, Michael A. Slawinski +1
In general, the Backus average of an inhomogeneous stack of isotropic layers is a transversely isotropic medium. Herein, we examine a relation between this inhomogeneity and the st…
On Backus average in modelling guided waves
David R. Dalton, Thomas B. Meehan, Michael A. Slawinski
We examine the Backus average of a stack of isotropic layers overlying an isotropic halfspace to examine its applicability for the quasi-Rayleigh and Love wave dispersion curves, b…
On Pareto Joint Inversion of guided waves
Adrian Bogacz, David R. Dalton, Tomasz Danek +2
We use the Pareto Joint Inversion, together with the Particle Swarm Optimization, to invert the Love and quasi-Rayleigh surface-wave speeds, obtained from dispersion curves, in ord…
The Quantum -Relations on the Elliptic Curve
Michael Slawinski
We define and prove the existence of the Quantum -relations on the Fukaya category of the elliptic curve, using the notion of the Feynman transform of a modular operad,…
On commutativity and near commutativity of translational and rotational averages: Analytical proofs and numerical examinations
Len Bos, David R. Dalton, Michael A. Slawinski
We show that, in general, the translational average over a spatial variable---discussed by Backus \cite{backus}, and referred to as the equivalent-medium average---and the rotation…
Statistical and numerical considerations of Backus-average product approximation
Len Bos, Tomasz Danek, Michael A. Slawinski +1
In this paper, we examine the applicability of the approximation, , within Backus (1962) averaging. This approximation is a cruci…