A century ago, the strange behavior of atoms and elementary particles led physicists to formulate a new theory of nature. That theory, quantum mechanics, found immediate success, proving its worth ...

A mathematician has solved a 200-year-old maths problem after figuring out a way to crack higher-degree polynomial equations without using radicals or irrational numbers. The method developed by ...

Solving one of the oldest algebra problems isn't a bad claim to fame, and it's a claim Norman Wildberger can now make: The mathematician has solved what are known as higher-degree polynomial equations ...

William Ross 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 ...

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We present the development of fractional generalized complex calculus in the Riemann-Liouville sense, modifying the Cauchy-Riemann operator using the one-dimensional Riemann-Liouville derivative. We ...

When you need to measure temperature using thermistors, you face the challenge of linearizing their response to get accurate readings. One of the best methods for linearizing a thermistor is the ...

Real and imaginary: The time-dependent Schrödinger equation formulated using complex numbers. (Courtesy: iStock/piranka) Complex numbers are essential to achieve the most accurate quantum-mechanical ...

Physicists construct theories to describe nature. Let us explain it through an analogy with something that we can do in our everyday life, like going on a hike in the mountains. To avoid getting lost, ...

Hilbert’s 12th problem asked for novel analogues of the roots of unity, the building blocks for certain number systems. Now, over 100 years later, two mathematicians have produced them. Problems in ...