Abstract: Modular multiplication of very long integers is a key building block of fully homomorphic encryption and elliptic curve cryptography. The Karatsuba algorithm reduces the multiplication ...

Numberphile revived an ancient multiplication trick—halves and doubles—also called Egyptian or Russian math, where you repeatedly halve one number and double the other. After crossing out rows with ...

Spring onions have progressed from being a soupçon to being viewed increasingly for their potential utility in home gardening ...

Three times a week, The Audio Long Read podcast brings you the Guardian’s exceptional longform journalism in audio form. Covering topics from politics and culture to philosophy and sport, as well as ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Vikki Velasquez is a researcher and writer who has managed, coordinated, and directed various community and nonprofit organizations. She has conducted in-depth research on social and economic issues ...

Abstract: I welcome you to the fourth issue of the IEEE Communications Surveys and Tutorials in 2021. This issue includes 23 papers covering different aspects of communication networks. In particular, ...

Since our founding in 2000, we've produced tens of thousands of marketing resources. (So many that even our editors have a hard time keeping up!) That's why we've set up our resource page so you can ...

Shorter people often live two to five years longer than taller people. Taller people have more cells, exposing them to more free radicals and damage. The FOX03 gene linked to longevity is more ...