Abstract: This brief note proves in a direct way that two different side conditions, which have been used in the literature to characterize strictly positive real matrix transfer functions in the ...

As you delve into the intricacies of English grammar, you’ll encounter the concepts of direct and indirect statements. These fundamental elements of reported speech play a crucial role in conveying ...

Thomas Jefferson’s first draft of the Declaration of Independence read: “We hold these truths to be sacred and undeniable . . . ” It was supposedly Benjamin Franklin who suggested instead announcing ...

Zero-knowledge proof, or ZKP, is a technology that enables you to prove to someone or the public that you know a certain piece of information without revealing what that information is. Does it sound ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

This marks a pivotal moment in furthering the ZK Stack’s transition to decentralized proof generation. In January 2025, Lagrange successfully integrated a decentralized version of ZKsync’s ZK Stack ...

NASA’s Webb Space Telescope has captured direct images of carbon dioxide in a planet beyond our solar system for the first time. The images feature HR 8799, a multiplanet system 130 light-years from ...

Abstract: In this work, we propose a direct proof of Katsevich’s algorithm in two-dimensional (2D) case where the proof starts off directly from the 2D fan-beam projection data. Our proof connects the ...

In financial accounting and taxes, attributing expenses to the correct category isn’t just a tip or guideline; it’s a requirement when filing IRS forms, requesting grant funds, or reporting to ...

Merkle trees, also known as hash trees or binary hash trees, are tree-like data structures used in computer science. They are named after their inventor, Ralph Merkle, who proposed the concept in 1979 ...