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physics.ed-ph2001
Kinematics on oblique axes
Oscar Bolina
We solve a difficult problem involving velocity and acceleration components along oblique axes, and propose two problems of central force motion to be solved using oblique axes.
math.PR2001
The gambler's ruin problem in path representation form
Oscar Bolina
We consider the classical one-dimensional random walk of a particle on the right-half real line. We assume that the particle is initially at position x=k, k > 0, and moves to the r…
physics.ed-ph2001
A bubble theorem
Oscar Bolina, J. Rodrigo Parreira
Proof of a simple mathematical inequality using elements of surface tension theory and ideal gas law to the formation and coalescence of bubbles.