相关论文: Opers
This article attempts to discuss some key aspects of the Brane World scenario in a popular fashion, without using any formulas.
This article summarises a Web-book on "Complexity" that was developed to introduce undergraduate students to interesting complex systems in the biological, physical and social sciences, and the common tools, principles and concepts used for…
A simple, non-technical introduction to the pre-big bang scenario is given, emphasizing physical motivations, considerations, and consequences over formalism.
In this article we present an elementary introduction to the theory of minimal surfaces in Euclidean spaces $\mathbb R^n$ for $n\ge 3$ by using only elementary calculus of functions of several variables at the level of a typical second-year…
This paper presents and tests a new approach to composing for ensemble singing performance: reality opera. In the performance of such a composition, emotions of the singers are real and emerge as a consequence of their interactions and…
OPERA is a long baseline neutrino oscillation experiment designed to observe $\nu_{\mu} \to \nu_{\tau}$ oscillations by looking at the appearance of $\nu_{\tau}$'s in an almost pure $\nu_\mu$ beam. The beam is produced at CERN and sent…
This set of lectures covers the very basics of flavor physics and are aimed to be an entry point to the subject. A lot of problems are provided in the hope of making the manuscript a self study guide.
OPERA (\emph{O}scillation \emph{P}roject with \emph{E}mulsion t\emph{R}acking \emph{A}pparatus) is a long-baseline neutrino experiment, designed to provide the first direct proof of $\nu_\mu \to \nu_\tau$ oscillation in the atmospheric…
We introduce the concept of protometric and present some properties of protometrics.
We present a simple new method for proving that languages are not regular. We prove the correctness of the method, illustrate the ease of using the method on well-known examples of nonregular languages, and prove two additional theorems on…
We recall several categories of graphs which are useful for describing homotopy-coherent versions of generalized operads (e.g. cyclic operads, modular operads, properads, and so on), and give new, uniform definitions for their morphisms.…
This paper is a very non-rigorous, loose, and extremely basic introduction to sheaves. This is meant to be a a guide to gaining intuition about sheaves, what they look like, and how they work, so that after reading this paper, someone can…
In this paper, we will study the simplest kind of beauty that can be found in a simple piece of music and can be appreciated universally. The proposed approach shows that aesthetically appealing patterns deliver higher amount of information…
These informal notes are concerned with sums and averages in various situations in analysis.
This talk is a sneak preview of the project, 'proof theory for theories of ordinals'. Background, aims, survey and furture works on the project are given. Subsystems of second order arithmetic are embedded in recursively large ordinals and…
To many people, music is a mystery. It is uniquely human, because no other species produces elaborate, well organized sound for no particular reason. It has been part of every known civilization on earth. It has become a very part of man's…
The goal of this article is to invite the reader to get to know and to get involved into higher Teichm\"uller theory by describing some of its many facets.
This short note delivers, via elementary calculations, a product representation of pi.
OPERA(Oscillation Project with Emulsion-tRacking Apparatus) is a new detector concept, iron(lead)-emulsion for a long-baseline neutrino oscillation experiment. This experiment would perform an appearance search for nu_mu-nu_tau oscillation…
Characterizations of the star, minus and diamond orders of operators are given in various contexts and the relationship between these orders is made more transparent. Moreover, we introduce a new partial order of operators which provides a…