On the Fejes Tóth Problem about the Sum of Angles Between Lines
Bilyk, Dmitriy · Matzke, Ryan W
الأصل · EN
In 1959 Fejes Tóth posed a conjecture that the sum of pairwise non-obtuse angles between N unit vectors in Sᵈ is maximized by periodically repeated elements of the standard orthonormal basis. We obtain new improved upper bounds for this sum, as well as for the corresponding energy integral. We also provide several new approaches to the only settled case of the conjecture: d=1.
الترجمة العربية
لا توجد ترجمة عربية لهذا البحث بعد. كن أوّل من يطلبها: تستغرق ثوانيَ معدودة، وتُحفظ النتيجة لكل قارئ قادم.