Abstract: This paper provides a tutorial on how to use Koopman operators to lift Pontryagin’s optimality condition for infinite-horizon optimal control problems into an infinite dimensional space. It ...

After Russia invaded Ukraine in 2022, Finland abandoned decades of neutrality and joined NATO. Over the past few weeks, more than 1,600 troops from across nine NATO member countries came together to ...

Former Texas Longhorns running back and current Dallas Cowboys rookie Jaydon Blue is preparing for his rookie season next month and is turning heads at training camp. Due to his play style, Blue has ...

Doug Wintemute is a staff writer for Forbes Advisor. After completing his master’s in English at York University, he began his writing career in the higher education space. Over the past decade, Doug ...

What if you could write Excel formulas that practically think for themselves—automatically adjusting to changes in your data without endless tweaking? With the introduction of the dot operator and the ...

Have you ever found yourself manually updating Excel formulas, tediously adjusting titles, or struggling to make your spreadsheets adapt to changing data? It’s a common frustration, but what if there ...

Introduction: Tactical athletes of Special Operations Forces personnel face diverse, high-risk demands—from explosive power actions and maximal strength tasks to prolonged endurance efforts and rapid ...

If you work with text files on Linux or Unix systems, you’ll eventually come across the diff command. The diff command is one of the most useful tools for comparing two files to find what’s changed.

Neural Operator（NO） は，関数空間間の写像（すなわち作用素）を直接学習するニューラルネットワークとして注目されている．特に，偏微分方程式（PDE）における発展写像や境界条件付き解空間のモデリングにおいて，その応用可能性が広がっている． ...

CarriersEdge, which provides online driver training for the trucking industry, is offering a new business training course for new and aspiring owner-operators. The online course, Owner-Operator ...

Microsoft has denied claims that it uses Microsoft 365 apps (including Word, Excel, and PowerPoint) to collect data to train the company's artificial intelligence (AI) models. "Microsoft does not use ...