Add to ORKGKeynote address from ARC5 Distinguished Lecture presented on August 28, 2012 in Klaus Advanced Computer Building room 1116.Runtime: 65:53 minutes.When numbers are added in the usual way, "carries" occur. The chance of a carry is about .45 (base 10). There are other choices of digits that lead to fewer carries (balanced digits). These balanced systems turn out to be best (fewest carries). Showing this requires an excursion into additive combinatorics a la Gowers-Green-Szemeredi-Tao. This is joint work with Shao and Soundarajan
Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and ...
The main focus of these lectures is basis extremal problems and inequalities – two sides of the same...
Combinatorial methods are used to prove several results in number theory. The chapters may be read i...
From a combinatorial perspective, we can count the number of carries that are needed to perform any ...
Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emph...
Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emph...
AbstractIn this paper we develop a number of probabilistic results related to a combinatorial repres...
Our goal in this paper is to analyze carry propagation in addition using only elementary methods (th...
What's It All About? What Is Combinatorics? Classic Problems What You Need to Know Are You Sitting C...
Additive Combinatorics is new discipline in mathematics with connections to additive number theory, ...
A general problem in Extremal Combinatorics asks about the maximum size of a collection of finite ob...
Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergradua...
Additive combinatorics is built around the famous theorem by Sze-merédi which asserts existence of ...
htmlabstractThis report contains a good part of the results of my reserach in additive combinatorics...
AbstractThe proper choice of a counting system may solve mathematical problems or lead to improved a...
Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and ...
The main focus of these lectures is basis extremal problems and inequalities – two sides of the same...
Combinatorial methods are used to prove several results in number theory. The chapters may be read i...
From a combinatorial perspective, we can count the number of carries that are needed to perform any ...
Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emph...
Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emph...
AbstractIn this paper we develop a number of probabilistic results related to a combinatorial repres...
Our goal in this paper is to analyze carry propagation in addition using only elementary methods (th...
What's It All About? What Is Combinatorics? Classic Problems What You Need to Know Are You Sitting C...
Additive Combinatorics is new discipline in mathematics with connections to additive number theory, ...
A general problem in Extremal Combinatorics asks about the maximum size of a collection of finite ob...
Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergradua...
Additive combinatorics is built around the famous theorem by Sze-merédi which asserts existence of ...
htmlabstractThis report contains a good part of the results of my reserach in additive combinatorics...
AbstractThe proper choice of a counting system may solve mathematical problems or lead to improved a...
Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and ...
The main focus of these lectures is basis extremal problems and inequalities – two sides of the same...
Combinatorial methods are used to prove several results in number theory. The chapters may be read i...