Mathematicians have finally pinned down the ninth Dedekind number, a 42 digit integer that had been taunting them since 1991. It counts a very specific kind of logical rule, and getting that count ...

Abstract: Complete complementary codes (CCCs) have important applications in communication, radar, and information security. In modern communication and radar systems, certain spectrum is reserved or ...

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: Two-dimensional (2-D) array sets with good 2-D correlation properties have received considerable attention in wireless communication systems. This paper focuses on 2-D Z-complementary array ...

If available, the user can retrieve the Boolean functions of a gate by using get_boolean_function and get_boolean_functions respectively. While the first command requires the name of the desired ...

The alternative complement pathway plays a key role in the pathogenesis of IgA nephropathy. Iptacopan specifically binds to factor B and inhibits the alternative pathway. In this phase 3, double-blind ...

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 ...

Is your feature request related to a problem? Please describe. I'm managing a global state that keeps the form values of multiple forms (each with React Hook Form), To validate all forms at once, I ...

Amid efforts to address energy consumption in modern computing systems, one promising approach takes advantage of random networks of non-linear nanoscale junctions formed by nanoparticles as ...

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 ...

Excel is a powerful program that can handle a variety of functions and calculations across multiple data sets. One of the most important features in Excel is the use of Boolean values, also known as ...