Abstract: Quantum computation offers a promising alternative to classical computing methods in many areas of numerical science, with algorithms that make use of the unique ways in which quantum ...

Diffie-Hellman’s key-exchange method runs this kind of exponentiation protocol, with all the operations conducted in this way ...

Those changes will be contested, in math as in other academic disciplines wrestling with AI’s impact. As AI models become a ...

Conservation levels of gene expression abundance ratios are globally coordinated in cells, and cellular state changes under such biologically relevant stoichiometric constraints are readable as ...

The painstaking process of formalization to verify proofs is starting to surge thanks to AI. That could radically change the ...

Working in secret for more than two years, a group of mathematicians has set out to resolve of the longest and most bitter ...

This manuscript presents important findings that challenge traditional models of speech processing by demonstrating that theta-gamma phase-amplitude coupling in the auditory cortex is primarily a ...

Isolating the first spark of life on Earth is a matter of biology, geology, and chemistry—but it's also an amazing math ...

The array can be shown as 5 groups of 3 showing that 5 x 3 = 15. Or it could be shown as 3 groups of 5 showing that 3 x 5 = 15. This demonstrates that multiplication is commutative. Image caption, ...

Abstract: Precise polarization control is required for electro-magnetic applications, such as converting horizontal polarization to vertical. This work presents a reflection mode metasurface, which ...