ABSTRACT: The Collatz Conjecture asserts that for all positive integers s , every Syracuse integer sequence defined by T( s )=s/2 if s is even, and T( s )= ( 3s+1 )/2 otherwise, eventually reaches 1 ...

Abstract: This paper re-explores first-principles machine design by implementing continuum electromechanical models with Mathematica symbolic software. It is shown that the algebraic complexities ...

In Mathematica, a Package is a Mathematica text file that contains definitions of commands other than the ones that are built into the Mathematica application itself. In fact, Mathematica comes with a ...

Parts of Asia and various small island nations are among the most densely populated countries in the world, according to data from the World Bank. The findings, mapped by Newsweek, show that while ...

Umama Ali is an experienced content writer with a passion for gaming. He has been immersed in video games for as long as he can remember. When he is not playing video games, he can be found playing ...

With Minecraft 1.21 adding two mutually exclusive mace enchantments to the game, players might be wondering which of them is better. The truth is that there's not a simple answer to whether Density or ...

SpherePacking generates the sphere configurations used in Fig. 1(a). These are cropped in Inkscape and then saved as the vector image Fig1aInked.pdf. PlasmonPictures does most of the figure generation ...

ABSTRACT: The singularity at distance r → 0 at the center of a spherically symmetric non-rotating, uncharged mass of radius R, is considered here. Under inverse square law force, the Schwarzschild ...

We draw insight into the neutron star structure and characteristics from the neutron structure. The eigenvectors of the special unitary group, SU(3), describing baryons, imply that neutron quarks ...

We thank Ben Thorp for his contributions to this article. Elek Pafka does not work for, consult, own shares in or receive funding from any company or organisation that would benefit from this article, ...