Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem
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YouTubeTimothy Gowers
Introduction to additive combinatorics lecture 1.8 --- Plünnecke's theorem
In this video I present a proof of Plünnecke's theorem due to George Petridis, which also uses some arguments of Imre Ruzsa. Plünnecke's theorem is a very useful tool in additive combinatorics, which implies that if A is a set of integers such that |A+A| is at most C|A|, then for any pair of non-negative integers r,s (not both zero) we have ...
視聴回数: 3526 回2022年1月23日
Additive Manufacturing Applications
Additive manufacturing is transforming how industries approach production — from prototyping to end-use parts. This article highlights real-world applications and industrial examples, showing how companies are leveraging 3D printing to innovate faster and more efficiently. Read more: https://www.rapid3devent.com/event/news/additive-manufacturing-applications-industrial-examples/ #AdditiveManufacturing #3DPrinting #IndustrialInnovation #Manufacturing #Rapid3D #ProductionOptimization | RAPID TCT E
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Additive manufacturing is transforming how industries approach production — from prototyping to end-use parts. This article highlights real-world applications and industrial examples, showing how companies are leveraging 3D printing to innovate faster and more efficiently. Read more: https://www.rapid3devent.com/event/news/additive-manufacturing-applications-industrial-examples/ #AdditiveManufacturing #3DPrinting #IndustrialInnovation #Manufacturing #Rapid3D #ProductionOptimization | RAPID TCT E
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