_Zenodo_. 2026In mathematics the order of operations is taught as a convention. Parentheses, exponents, multiplication, division, addition, subtraction. The sequence is enforced but never derived. No account in the standard curriculum or the foundations literature explains why the operations must be performed in that order rather than another. The order of operations is the dependency chain of ar…
By arithmetic expression I mean one consisting of arbitrary combinations of natural number constants, a single real variable x (which may appear any number of times in the expression), and the five ...
In a recent paper, two mathematicians showed that a particular pattern is unavoidable when fractions are categorized. The post Coloring by Numbers Reveals Arithmetic Patterns in Fractions first appeared on Quanta Magazine
The Forschungsinstitut für Mathematik (FIM) or Institute for Mathematical Research will host a conference on June 17-21, 2019 at the Swiss Federal Institute of Technology in Zürich (ETH Zürich) in Switzerland. In honor of UCLA Math Professor William (Bill) Duke’s 61st birthday, several speakers will give talks covering his research interests, including arithmetic, geometry, and modular forms. For…
