This work attempts to design a method for computer-based mathematical model of multi-parametric datasets that their features are fully-automatic structural and parametric optimization of models. This ...

6.2. The Derivative of a Composite Function 141 6.3. The Tangent Line and the Normal to a Plane Curve 142 6.4. Cases of Non-differentiability of a Continuous Function 145 6.5. The Derivatives of ...

This is simply a relic of the initial small over-density that triggered the collapse. If future observations, such as the ongoing Euclid mission, confirm a small positive curvature, it would be a ...

Our maths show that as we approach the potential singularity, the size of the universe changes as a (hyperbolic) function of cosmic time. This simple mathematical solution describes how a collapsing ...

The Big Bang is often described as the explosive birth of the universe—a singular moment when space, time and matter sprang into existence. But what if this was not the beginning at all? What if ...

Enrique Gaztanaga receives funding from the Spanish Plan Nacional (PGC2018-102021-B-100) and Maria de Maeztu (CEX2020-001058-M) grants. Enrique Gaztanaga is also a Professor at the Institute of ...

A hyperbolic function is used to model the carrier confinement potential profile of a disordered Al/sub 0.3/Ga/sub 0.7/As-GaAs single quantum well produced by interdiffusion of group III atoms across ...