http://arxiv.org/abs/1605.07901

When dealing with satellites orbiting a central body on a highly elliptical orbit, it is necessary to consider the effect of gravitational perturbations due to external bodies. 246 more words

http://arxiv.org/abs/1605.07901

When dealing with satellites orbiting a central body on a highly elliptical orbit, it is necessary to consider the effect of gravitational perturbations due to external bodies. 246 more words

**Part 1: David Gómez-Ullate, Yves Grandati and Robert Milson ‘Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials’**

Since 2009, the… 623 more words

Today’s image of the week shows a simulation of a knotted tube. Modelling twisting and knots like this is useful for simulating the behaviour of large molecules, cables and even the behaviour of magnetic flux lines in stars. 121 more words

http://arxiv.org/abs/1605.04173

We explicitly prove that a class of finite quantum gravitational theories (in odd as well as in even dimension) is actually a range of anomaly-free conformally invariant theories in the spontaneously broken phase of the conformal Weyl symmetry. 147 more words

http://arxiv.org/abs/1605.02648

This is a brief overview of the current status of symmetry reduced models in Loop Quantum Gravity. The goal is to provide an introduction to other more specialized and detailed reviews that follow. 44 more words

Consider the integral with

This above defined integral is named as **Gaussian Integral.**

The graph of function (Gaussain Function)

The integration from x = -∞ to x = ∞ is actually area of the above curve fillings downward to whole x axis. 97 more words

**Studying the way that solitary hunters such as tigers, bears or sea turtles chase down their prey turns out to be very useful in understanding the interaction between individual white blood cells and colonies of bacteria.** 469 more words