Abstract: This article establishes an approach, based on distributed optimization, for solving continuous-time Lyapunov equations (CTLE) over multiagent networks. Each agent in the network knows ...

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This video explains a challenging exponential equation step by step, showing how to simplify expressions, apply exponent rules, and solve systematically without skipping key logic. Perfect for ...

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A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help students avoid memorizing obtuse formulas. His ...

Unless you do it in your day to day job, math can be very easy to avoid once you graduate from school. Suddenly those long, complicated equations that your math teacher swore would be trivial are so ...

You'll find SiRN Staff Grace on the 7th Floor of SiRN Building during Chapter 13-4, as you make your way to the roof. Speak to her and she'll tell you to solve the following maths equation: 2^6x3x643.

The well-optimized DifferentialEquations solvers benchmark as some of the fastest implementations of classic algorithms. It also includes algorithms from recent research which routinely outperform the ...

New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – something that has generally been deemed impossible using traditional methods for ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

The brainteaser, which has gone viral on X (formerly Twitter), appears to show four basic equations. At first glance, the equation seemingly shows a pattern, one that is not easily cracked. Can you ...

Masaki Kashiwara has won the 2025 Abel prize, sometimes called the Nobel prize of mathematics, for his work on algebraic analysis. Kashiwara, a professor at Kyoto University, Japan, received the award ...