Abstract: This article addresses the problem of finding the linear quadratic regulator (LQR) weights such that the associated discrete-time algebraic Riccati equations admit a common optimal ...

CBSE Class 10 Maths Chapter 3: Pair of Linear Equations in Two Variables is a high-weightage chapter that helps students build strong algebraic and graphical problem-solving skills. This chapter ...

Scleroderma is a rare autoimmune disease involving an overproduction of the protein collagen. Linear scleroderma usually begins as a streak of hardened, waxy, discolored skin on the forehead, an arm, ...

LITTLE ROCK, Ark. — There's now a new push to solve a teen murder that we have been following for about a decade. Ebby Steppach was last seen in the vicinity of 53rd Street and University Avenue on ...

That’s how Meta’s chief AI scientist Yann LeCun described the blowback after OpenAI researchers did a victory lap over GPT-5’s supposed math breakthroughs. Google DeepMind CEO Demis Hassabis added, ...

Abstract: Solving the large-scale linear system of equations is one of the most fundamental problems both in theory and practice. However this problem requires too much computational resource for most ...

Breakthroughs, discoveries, and DIY tips sent every weekday. Terms of Service and Privacy Policy. Most people’s experiences with polynomial equations don’t extend ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

When the greatest mathematician alive unveils a vision for the next century of research, the math world takes note. That’s exactly what happened in 1900 at the International Congress of Mathematicians ...

The author recounts a personal journey from focusing on astronomy to becoming deeply involved in climate change research, highlighting the disconnect between scientific understanding and societal ...