The original version of this story appeared in Quanta Magazine. In 1939, upon arriving late to his statistics course at UC Berkeley, George Dantzig—a first-year graduate student—copied two problems ...

The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better. In 1939, upon arriving late to his statistics course at the ...

In recent years, the prospect of real-world quantum computing has raised hopes for solving hard combinatorial optimisation problems, leading to tremendous theoretical work on developing and analysing ...

Yet beneath all these practical advances lay a profound theoretical question that had puzzled mathematicians for decades: Could linear programming problems actually be solved efficiently in the worst ...

In the evolving landscape of decision intelligence, few mathematical breakthroughs have had as profound an impact as linear programming. At the heart of this revolutionary approach stands a brilliant ...

OpenAI recently unveiled its latest artificial intelligence (AI) models, o1-preview and o1-mini (also referred to as “Strawberry”), claiming a significant leap in the reasoning capabilities of large ...

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1 Department of Basic Sciences and Humanities, University of Asia Pacific, Dhaka, Bangladesh. 2 General Education Department, City University, Dhaka, Bangladesh. 3 Department of Mathematics, ...

Since its creation more than two decades ago by Daniel Spielman (above) and Shang-hua Teng, smoothed analysis has been used to analyze performance of algorithms other than the simplex method, ...

Image segmentation technology has been widely applied in industry, agriculture, military fields, etc. Among all the image segmentation methods, thresholding is one of the most widely used, because it ...