Learn how to simplify spherical unit vectors using Cartesian representation in this clear, step-by-step tutorial. Perfect for physics and engineering students, this video breaks down the math behind ...

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Abstract: Quantum circuit simulation is playing a critical role in the current era of quantum computing. However, quantum circuit simulation suffers from huge memory requirements that scale ...

ABSTRACT: The theory of networks provides a mathematical basis for building and modeling the chemical structures and complex networks. Topological indices (TIs) are employed in several physicochemical ...

Hi, I created a scenario where X=0.50, Y=0.00 and Z = 0.707, Theta is 45 degrees with projection upon the X axis. Phi should have been 0, but it measures as 45 deg. Y should be 0 but it measures as ...

A complex form of carbon crucial for life on Earth has been spotted outside the solar system for the first time. Its presence helps show how the compounds needed for life could come from space. The ...

Abstract: Power system analysis algorithms under polar coordinates are traditionally implemented with the polar form complex number, which is abstracted as phase and magnitude. This paper addresses a ...

The parasitic flatworm Haplorchis pumilio produces non-reproductive soldiers (left) which have much larger mouths than their reproductively capable colony-mates (center). The soldiers use their mouths ...

Have you ever wondered how many humans have lived and died on planet Earth throughout history? This question has captivated the minds of demographers, researchers, and curious individuals alike.

First, from everyone here at 13WMAZ, we are sorry for your loss. We understand that this is a difficult time for you. We hope to make the process less painful with our initiative, More Than A Number.