Generally, various types of ultra-subharmonic motions can be observed in numerical simulations of periodically forced, non-linear oscillators. However, theoretical ...

The logistic curve is presented as a mathematical model for population growth in calculus, differential equations and mathematical modeling textbooks. However, there is ...

Forms for the exact non-relativistic quantum mechanical vibrational (J=0) kinetic energy operators for sequentially bonded (A-B-C-D-E) and (A,B)-C-D-E-type penta atomic ...

The Banach-Tarski Paradox asserts that a solid ball in 3-space may be decomposed into five disjoint sets that can be rearranged to form two solid balls, each the same size as ...

The programming features of Mathematica allow one to augment this symbolic computing package with a variety of data analysis tools. Shown here are brief programs for kernel ...

The package TTC (Tools of Tensor Calculus) implements the majority of the basic tools of tensor and exterior calculus in a differentiable manifold using the point-of-view of ...

Stiffness loss due to the presence of multiple penny-shaped cracks in the transverse plane of a transversely isotropic medium is calculated using the self-consistent ...

An important topic in calculus is optimization. Historically, it has been presented as an application involving curve sketching and differentiation, and is used to show how ...

In this work, the stress resultants and displacements (due to in-plane loading) of circular rods with variable cross-sections are calculated by using the initial values ...

Using computer-algebraic methods we derive compact analytical expressions for the virtual electroweak radiative corrections to polarized Compton scattering. Moreover the ...