4 citations · 7 across the 3 of their papers we have counts for
5 papers
Inferring models of bacterial dynamics toward point sources
Hossein Jashnsaz, Tyler Nguyen, Horia I. Petrache +1
Experiments have shown that bacteria can be sensitive to small variations in chemoattractant (CA) concentrations. Motivated by these findings, our focus here is on a regime rarely…
Extensions of real numbers using coset groups
Horia I. Petrache
Extensions of real numbers in more than two dimensions, in particular quaternions and octonions are finding applications in physics due to the fact that they naturally capture cert…
The amazing normal forces
Horia I. Petrache
This manuscript is written for students in introductory physics classes to address some of the common difficulties and misconceptions of the normal force, especially the relationsh…
Elementary trigonometry based on a first order differential equation
Horia I. Petrache
It is shown that with appropriate boundary conditions, a real function satisfying the differential equation has all known properties of the sine function. A number…
Correspondence between geometrical and differential definitions of the sine and cosine functions and connection with kinematics
Horia I. Petrache
In classical physics, the familiar sine and cosine functions appear in two forms: (1) geometrical, in the treatment of vectors such as forces and velocities, and (2) differential,…