Discover a surprising way to solve this problem without using calculus. This explanation shows an intuitive, logic-based approach that avoids derivatives while still reaching a clean and elegant ...

Learn the foundations of calculus using simple math concepts that are easy to understand, even if you’re new to the subject. This guide breaks down limits, derivatives, and basic integrals using clear ...

Francis Duah does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond their ...

Fractional order calculus (FOC) deals with integrals and derivatives of arbitrary (i.e., non-integer) order, and shares its origins with classical integral and differential calculus. However, until ...

The totality of an asset’s fundamentals constitute its earning power, which in turn is the source of its value. That’s what an asset’s price is: the consensus view of investors regarding its ...

Abstract: This paper proposes a novel closed-form analytical expression of the fractional derivative of a signal in the Fourier transform (FT) and the fractional Fourier transform (FrFT) domain by ...

One of the landmarks of Kyoto, the home of Japanese mathematician Masaki Kashiwara, is the Kamo River. At certain points, there are stepping stones that allow residents to cross the river away from ...

ABSTRACT: This paper introduces a new evolutionary system which is uniquely suitable for the description of nonconservative systems in field theories, including quantum mechanics, but is not limited ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

Struggling with a problem on your calculus homework? AI tools and apps provide detailed explanations of math problems to guide you toward the solution. Generative AI breaks down calculus problems step ...