The simplest way to start documenting Excel formulas like a coder is by using the N () function. Although its primary job is to convert non-numeric values into numbers, it has a hidden quirk: because ...

Abstract: This paper gives a nearly tight characterization of the quantum communication complexity of permutation-invariant Boolean functions. With such a characterization, we show that the quantum ...

In the often abstract, occasionally esoteric world of artificial intelligence research, it’s rare to see a philosophical disagreement surface so publicly – and so bluntly. Yet that’s exactly what ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...

Abstract: In the past few years, algebraic attacks against stream ciphers with linear feedback function have been significantly improved. As a response to the new attacks, the notion of algebraic ...

ABSTRACT: We establish quantum circuit complexity as a fundamental physical observable and prove that it satisfies an uncertainty relation with energy, analogous to Heisenberg’s canonical uncertainty ...

ABSTRACT: This survey article illustrates many important current trends and perspectives for the field and their applications, of interest to researchers in modern algebra, mathematical logic and ...

The optimism that deep neural networks, particularly those based on the Transformer design, will speed up scientific discovery stems from their contributions to previously intractable problems in ...

As seen in earlier articles, the only two possible states of information for digital electronics are true and false. Be it an electric current, a numeric datum, or a variable of any kind, the system’s ...