The holographic principle

There is strong evidence that the area of any surface limits the information content of adjacent spacetime regions, at 10^(69) bits per square meter. We review the developments that have led to the recognition of this entropy bound, placing special emphasis on the quantum properties of black holes. The construction of light-sheets, which associate relevant spacetime regions to any given surface, is discussed in detail. We explain how the bound is tested and demonstrate its validity in a wide range of examples. A universal relation between geometry and information is thus uncovered. It has yet to be explained. The holographic principle asserts that its origin must lie in the number of fundamental degrees of freedom involved in a unified description of spacetime and matter. It must be manifest in an underlying quantum theory of gravity. We survey some successes and challenges in implementing the holographic principle.Comment: 52 pages, 10 figures, invited review for Rev. Mod. Phys; v2: reference adde

The S&L Debacle

This speech was given by Professor White as part of the annual Financial Institutions and Regulation Symposium at the Fordham University School of La

S&L accounting

Savings and loan associations ; Accounting

Characterization of finite dimensional nilpotent Lie algebras by the dimension of their Schur multipliers, s(L)=5s(L)=5

It is known that the dimension of the Schur multiplier of a non-abelian nilpotent Lie algebra $L$ of dimension $n$ is equal to $\frac{1}{2}(n-1)(n-2)+1-s(L)$ for some $s(L)\geq0$. The structure of all nilpotent Lie algebras has been given for $s(L) \leq 4$ in several papers. Here, we are going to give the structure of all non-abelian nilpotent Lie algebras for $s(L)=5$

Restructuring the S&L industry

Savings and loan associations

An Effective Feature Selection Method Based on Pair-Wise Feature Proximity for High Dimensional Low Sample Size Data

Feature selection has been studied widely in the literature. However, the efficacy of the selection criteria for low sample size applications is neglected in most cases. Most of the existing feature selection criteria are based on the sample similarity. However, the distance measures become insignificant for high dimensional low sample size (HDLSS) data. Moreover, the variance of a feature with a few samples is pointless unless it represents the data distribution efficiently. Instead of looking at the samples in groups, we evaluate their efficiency based on pairwise fashion. In our investigation, we noticed that considering a pair of samples at a time and selecting the features that bring them closer or put them far away is a better choice for feature selection. Experimental results on benchmark data sets demonstrate the effectiveness of the proposed method with low sample size, which outperforms many other state-of-the-art feature selection methods.Comment: European Signal Processing Conference 201

Reply to comments by S. L. Soo

If one takes due regard for the condition under which my collision model is valid, explicitly stated by Eq. (15), Ref. 1, the difficulties experienced by Soo(2) will not arise

A characterization of finite dimensional nilpotent Lie superalgebras

Let $L$ be a nilpotent Lie superalgebras of dimension $(m\mid n)$ for some non-negative integers $m$ and $n$ and put $s(L) = \frac{1}{2}[(m + n - 1)(m + n -2)]+ n+ 1 - \dim \mathcal{M}(L)$, where $\mathcal{M}(L)$ denotes the Schur multiplier of $L$. Recently, the author has shown that $s(L) \geq 0$ and the structure of all nilpotent Lie superalgebras has been determined when $s(L) = 0$ \cite{Nayak2018}. The aim of this paper is to classify all nilpotent Lie superalgebras $L$ for which $s(L) = 1$ and $2$.Comment: 19 page

Service-Learning Times : semester 2, 2018/19

To foster multi-disciplinary learning experience, the three faculties, the Science Unit and Office of Service-Learning offer you plenty of choices and flexibility in S-L projects. Moreover, we also provide trans-border S-L and research opportunities, enabling you to examine challenging issues at both the local and international levels. A number of S-L projects are also available in cluster courses, free elective courses, and major courses. In short, you have a wealth of opportunities to apply your course knowledge while contributing to the local and the international communities. This booklet highlights the courses with S-L elements in this semester. If you want to choose what kind of S-L adventure you want to go on, you should plan and act quickly while places are available.https://commons.ln.edu.hk/sl_times/1003/thumbnail.jp

Service-Learning Times : semester 2 & summer term, 2017/18

Service-Learning (S-L) is an experiential learning approach that empowers students to apply academic knowledge in meaningful community service with reflection. In particular, the Service-Learning and Research Scheme (SLRS) seeks to build research elements into the S-L opportunities, which provide students with diverse and insightful service experiences to enhance their personal growth, intellectual advancement and career readiness while bringing substantial benefits to the collaborating partners. This booklet highlights popular S-L courses. Students wishing to experience the best of S-L should plan ahead and act quickly while places are available.https://commons.ln.edu.hk/sl_times/1001/thumbnail.jp