First, we consider holomorphic mappings. Definition. Let $${U \subset \mathbb{C}^n}$$ be an open set. A mapping $${f = (f_1, \dots, f_m) : U \to \mathbb{C}^m}$$ is called holomorphic if all component ...

Researchers are increasingly exploring how neural network weights can be treated as a data modality, a field known as Weight Space Learning, with promising applications for data representation and ...

As a person with a chronic illness, I'm no stranger to bloodwork. I used to pore over my lab results, googling the various meanings, and trying not to panic when a test fell out of range. Function ...

In 2022, two high school students created a trigonometric proof of the Pythagorean Theorem—something that’s only ever been accomplished by a few professional mathematicians. Now, a new article not ...

Stephen has degrees in science (Physics major) and arts (English Literature and the History and Philosophy of Science), as well as a Graduate Diploma in Science Communication. Stephen has degrees in ...

In 2022, U.S. high school students Calcea Johnson and Ne'Kiya Jackson astonished teachers when they discovered a new way to prove Pythagoras' theorem using trigonometry after entering a competition at ...

Two years ago, a couple of high school classmates each composed a mathematical marvel, a trigonometric proof of the Pythagorean theorem. Now, they’re unveiling 10 more. For over 2,000 years, such ...

In their peer-reviewed work, Calcea Johnson and Ne'Kiya Jackson present five new ways of proving Pythagoras' Theorem via trigonometry. They also detail a new method for finding proofs that yield at ...

ABSTRACT: In this paper, the dynamical behaviors of a modified Leslie-Gower predator-prey model incorporating fear effect and prey refuge are investigated. We delve into the construction of the model ...

Parth, a seasoned tech writer, wields the keyboard (or pen) with finesse to unravel the intricacies of both Windows and Mac operating systems. He has covered evergreen content on mobile devices and ...

The number of health care educational institutions/organizations adopting implicit bias training is growing. Our systematic review of 77 studies (published 1 January ...

Your implicit memory helps you remember how to do things without consciously thinking about it. It includes skills and habits, like how to ride a bike and how to get around your house. It also ...