Abstract: Many kinds of codes which possess two cycle structures over two special finite commutative chain rings, such as ${\mathbb {Z}}_{2}{\mathbb {Z}}_{4}$ -additive cyclic codes and quasi-cyclic ...

Marseille, CPT and Provence U. For Connes' spectral triples, the group of automorphisms lifted to the Hilbert space is defined and used to fluctuate the metric. A few commutative examples are ...

As a professional actor, your demo reel is your calling card. It’s often the most important element in getting chosen for an audition or a self-tape. But what makes a reel stand out among the ...

For most websites, the homepage represents your brand’s first interaction with your audience on your website. As the catch-all landing page where people will be sent by default, your homepage needs to ...

Sam Raskin has wrapped his head around a math problem so complex it took five academic studies — and more than 900 pages — to solve. The results are a sweeping, game-changing math proof that was ...

To run a successful business, your management must effectively communicate with your staff, and your staff must effectively communicate with management. This helps to avoid misunderstandings that can ...

The laugh-out-loud workplace comedy “30 Rock” (2006–2013) averaged more than seven jokes per minute, using the gamut of gags to get guffaws. Beyond a spectacular cast (Tina Fey, Alec Baldwin, Tracy ...

The word demure, seemingly out of nowhere, exploded online this month and sparked a cultural conversation. The beauty influencer who started the viral trend, Jools Lebron, told "CBS Mornings" about ...

In addition to being one of the most fun words to say—and hardest to spell—in English, “onomatopoeia” probably calls to mind a whole bunch of silly, fun words. Onomatopoeia is the process of creating ...