Two Simple Rules for Properly Formatting Numbers

Canonical Ramsey numbers and properly colored cycles

We improve the previous bounds on the so-called unordered Canonical Ramsey numbers, introduced by Richer [D. Richer, Unordered canonical Ramsey numbers, Journal of Combinatorial Theory Series B 80 (2000) 172–177] as a variant of the canonical Ramsey numbers introduced by Erdős and Rado [P. Erdős, R. Rado, A combinatorial theorem, Journal of the London Mathematical Society 25 (4) (1950) 249–255]...

Rules for Numbers

The real numbers are governed by a collection of rules that have to do with addition, multiplication, and inequalities. In the rules below, x, y, z 2 R. (In other words, x, y, and z are real numbers.) Rules of addition. • (x + y) + z = x + (y + z) (Law of associativity) • x + y = y + x (Law of commutativity) • x + 0 = x (Law of identity) • x + x = 0 (Law of inverses) Rules of multiplication. • ...

MathML formatting with TEX rules , TEX fonts , and TEX quality ∗

In this paper we investigate the architecture of a MathML formatting engine based on an abstraction of the TEX box primitives. This engine is carefully designed so that the TEX-dependent formatting rules are isolated from the independent ones and is capable of achieving TEX-comparable output quality when used in conjunction with TEX fonts. We show how the formatting rules presented in Appendix ...

Ten Simple Rules for Reviewers

Last summer, the Student Council of the International Society for Computational Biology prompted an Editorial, ‘‘Ten Simple Rules for Getting Published’’ [1]. The interest in that piece (it has been downloaded 14,880 times thus far) prompted ‘‘Ten Simple Rules for Writing a Grant’’ [2]. With this third contribution, the ‘‘Ten Rules’’ series would seem to be established, and more rules for diffe...

Addition two generalized fuzzy numbers