We discuss some of the problems Noah had to face when he established his famous bagel business; Noah had to decide how many bagels of each flavor should be produced in each of his bakeries, subject to space, production and flavor popularities constraints. Noah’s goal was to find solutions that maximize his revenue (the revenue problem) while guaranteeing satisfaction to his customers (the balan...

Motivated by recent works on “Higgsless theories,” I discuss an SU(2)0 × SU(2) × U(1) gauge theory with arbitrary bifundamental (or custodial SU(2) preserving) symmetry breaking between the gauge subgroups and with ordinary matter transforming only under the U(1) and SU(2)0. When the couplings, gj, of the other SU(2)s are very large, this reproduces the standard model at the tree level. I calcu...

Sound Low Fun, a large sphere, is an interactive sound installation. The installation could produce low-frequency sound (Low Sound) to make people feel relax, to have "Fun"effect (“Fun” also pronounced close to Chinese word “放”, which also means relax. This is our main concern and fundamental idea of the project. Our work present a sense of technology, and then we follow the structure by "C60" ...

This note is based on Gregor Kiczales’ position paper on Aspect-Oriented Programming: “AOP, The Fun has Just Begun”. I am a big fan of AOP. It has working and useful examples, and it brings into focus a key fault of traditional languages and OOP in particular, namely that modularity or refinement by itself can provide for a proper separation of concerns. It can not. Gregor describes the false h...

Motivated by recent works on “Higgsless theories,” I discuss an SU(2)0 × SU(2) × U(1) gauge theory with arbitrary bifundamental (or custodial SU(2) preserving) symmetry breaking between the gauge subgroups and with ordinary matter transforming only under the U(1) and SU(2)0. When the couplings, gj, of the other SU(2)s are very large, this reproduces the standard model at the tree level. I calcu...

This is a collection of cute puzzles of the form “Show that if a function satisfies the following constraints, it must be . . . ” Please add further examples to this collection! Apart from the one about factorial, they all come from the delightful booklet by Terence Tao [1] but go back to Math Olympiads and similar events. Please add further examples of this kind, either directly or by sending ...

Motivated by recent works on “Higgsless theories,” I discuss an SU(2)0 × SU(2) × U(1) gauge theory with arbitrary bifundamental (or custodial SU(2) preserving) symmetry breaking between the gauge subgroups and with ordinary matter transforming only under the U(1) and SU(2)0. When the couplings, gj, of the other SU(2)s are very large, this reproduces the standard model at the tree level. I calcu...

Mathematical documents are not only hard but fun to write, they are equally hard but fun to read. Unfortunately, the “fun” part comes only in, when one has mastered the art of using mathematical vernacular and grasped all relevant context dimensions. Even though this seems an immanent issue for mathematical authors only, it is also for mathematical readers. In this paper, we argue for the need ...