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In 1975, Szemeredi proved that any subset of positive integers with positive upper density contains arbitrarily long arithmetic progressions. In this talk, we consider the finite field analog and u... Daha fazla»

Integer multiplication is an ancient problem, with countless applications across all fields of human endeavour. Until the late 1950s, the fastest known multiplication algo rithm, asymptoticall... Daha fazla»

Partial groups are a generalization of groups which allow for the possibility that some $n$-fold products of elements may be undefined. They were introduced by Chermak to serve in the study of the ... Daha fazla»

Günümüzde üretilen veri miktarındaki büyük artış ile birlikte, bu verilerin işlenmesine yönelik yeni ve etkili yöntemlere ihtiyaç d... Daha fazla»

Stacks generalize one dimension higher the fundamental concept of sheaf. They are pseudofunctors that are able to glue together weakly compatible local data into global data. Stacks are a very impo... Daha fazla»

Yaklaşım Teorisi üzerine yapılan çalışmalar, matematikten mühendisliğe, doğa bilimlerinden finansa kadar geniş bir yelpazede uygulama alanı bulmaktadır. Özellikle ya... Daha fazla»

It is well known that fundamental curves above complex numbers  have 2g generators where g is the genus of the curve with one non trivial relation that is the commutation relation. Surprisingl... Daha fazla»

Integer multiplication is an ancient problem, with countless applications across all fields of human endeavour. Until the late 1950s, the fastest known multiplication algorithm, asymptotically spea... Daha fazla»

Euclid’s Elements is the most influential textbook in the history of western civilization, a model of reasoning not only in mathematics but in philosophy, theology, and politics. But Euclid&r... Daha fazla»