Abstract: Power system stability is widely assessed based on tools that rely on the representation of voltages and currents through quasi-static phasor calculus, implying that the network itself and ...

Professor Curtis T. McMullen received the 1998 Fields Medal, deemed the most prestigious award in mathematics, for his work on complex dynamics. McMullen is also the creator of the Illustrating ...

How many atoms are there in the observable universe? Current estimates point to a number we would write as 1 followed by 80 zeroes, or 10 80. If you peered inside each of these atoms and counted their ...

Even the most math-phobic readers might forget their dread after just a few pages of Strogatz’s (The Calculus of Friendship) latest. The author, a Cornell professor of applied mathematics, begins with ...

ABSTRACT: In this paper, we are concerned with the following nonlocal Schrödinger equations − ℒ K u+V( x )u=f( x,u ), x∈ ℝ N , where − ℒ K is an integro-differential operator of fractional Laplacian ...

ABSTRACT: “All is Number”—the universe follows a few profound mathematical rules, and pure thought can grasp reality. This paper explores the first principles of fundamental physics, focusing on the ...

Recall that an indefinite integral (or antiderivative) is so called as it provides a family of solutions with a constant term. It is called indefinite as the constant \(c\) can take any real value, ...

A s soon as you hear their celestial harmonies, you need to find them. Almost a full year later in February 2025, the band is back in the very same conference room, ready to talk about everything that ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

As shared on reddit and social media platform X, the Infinity Nikki website briefly displayed an abusive message earlier this morning, which was being used to promote a private server for fellow gacha ...

IGN can exclusively reveal the first trailer for Infinity: Paradise Lost, an upcoming animated series adaptation of Corvus Belli’s sci-fi tabletop wargame franchise. You can watch the trailer via the ...