Statistics on Graphs, Exponential Formula and Combinatorial Physics

The concern of this paper is a famous combinatorial formula known under the name "exponential formula". It occurs quite naturally in many contexts (physics, mathematics, computer science). Roughly speaking, it expresses that the exponential generating function of a whole structure is equal to the exponential of those of connected substructures. Keeping this descriptive statement as a guideline, we develop a general framework to handle many different situations in which the exponential formula can be applied

Modeling interdisciplinary interactions among Physics, Mathematics & Computer Science

Interdisciplinarity has over the recent years have gained tremendous importance and has become one of the key ways of doing cutting edge research. In this paper we attempt to model the citation flow across three different fields -- Physics (PHY), Mathematics (MA) and Computer Science (CS). For instance, is there a specific pattern in which these fields cite one another? We carry out experiments on a dataset comprising more than 1.2 million articles taken from these three fields. We quantify the citation interactions among these three fields through temporal bucket signatures. We present numerical models based on variants of the recently proposed relay-linking framework to explain the citation dynamics across the three disciplines. These models make a modest attempt to unfold the underlying principles of how citation links could have been formed across the three fields over time.Comment: Accepted at Journal of Physics: Complexit

Optimal path for a quantum teleportation protocol in entangled networks

Bellman's optimality principle has been of enormous importance in the development of whole branches of applied mathematics, computer science, optimal control theory, economics, decision making, and classical physics. Examples are numerous: dynamic programming, Markov chains, stochastic dynamics, calculus of variations, and the brachistochrone problem. Here we show that Bellman's optimality principle is violated in a teleportation problem on a quantum network. This implies that finding the optimal fidelity route for teleporting a quantum state between two distant nodes on a quantum network with bi-partite entanglement will be a tough problem and will require further investigation.Comment: 4 pages, 1 figure, RevTeX

(Re-) Discovering Lost Web Pages

PDF of a powerpoint presentation from a Mathematics & Computer Science Seminar at Emory University, Atlanta, Georgia, October 2, 2009. Also available on Slideshare.https://digitalcommons.odu.edu/computerscience_presentations/1025/thumbnail.jp

A Women in Mathematics, Computer Science, and Physics Course

Increasing women\u27s participation is a concern in disciplines beyondphysics. As part of our Mathematics, Physics, Computer ScienceResearch Scholars (MapCores) program, we teach a women in scienceclass covering these three areas. Our course is a special version ofour college\u27s first year seminar, which is a course designed toprepare our students to read, write, and speak at a college-level. Westructure our FYS to promote academic confidence and interest in ourdisciplines for the women in MapCores. It covers not only contributionsthat women have made and barriers that women face in thesedisciplines, but also research frontiers and science policy issues inthese disciplines. While the women in MapCores find covering thesetopics beneficial, the most important benefit of the course is the supportive cohort that develops from it

Operations Research, Mathematics, Computer Science and Statistics: The Relationships

Many people have difficulty in seeing any difference between Mathematics, Operations Research, Statistics, Computer Science and other disciplines while others are just plain confused. In this work, OR and its applications are being exposed and then compared in order to look into the relationships between OR, Mathematics, Computer Science, Statistics and other fields. It has been realized that all these areas of knowledge are also interrelated with other areas such as Engineering, Physics, Microbiology, Economics etc

Mathematics-0 for pedagogical institutions of higher education: an introduction to Boolean algebra

Запропонована реалізація ідеї інтеграції курсів математики, інформатики, фізики на прикладі вивчення теми "Двійкова булева алгебра".The proposed implementation of idea about integration courses in mathematics , computer science, physics in examples of the theme "Binary Boolean algebra"