It is known from a previous paper [3] that Katona’s Intersection Theorem follows from the Complete Intersection Theorem by Ahlswede and Khachatrian via a Comparison Lemma. It also has been proved directly in [3] by the pushing–pulling method of that paper. Here we add a third proof via a new (k,k+1)-shifting technique, whose impact will be exploared elsewhere. The fourth and last of our proofs ...

An attempt is made of giving a self-contained introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, two-component spinor calculus, conformal gravity, α-planes in Minkowski space-time, α-surfaces and twistor geometry, anti-self-dual space-times and Penrose transform, spin-3/2 potentials, heave...

Preparing the books to read every day is enjoyable for many people. However, there are still many people who also don't like reading. This is a problem. But, when you can support others to start reading, it will be better. One of the books that can be recommended for new readers is everybody wants to go to heaven but nobody wants to die. This book is not kind of difficult book to read. It can b...

In this chapter, we firstly review the short history of denial of service (DoS) and distributed denial of service (DDoS) attacks. We further explore the reasons why the current cyberspace is a heaven for cyber criminals, such as DDoS attackers. We present the challenges of the DDoS related research fields from various aspects, and discuss the possible research methods and strategies to serve th...

Using a stochastic dominance approach in an international dataset of about 10,000 Catholic subjects, we show that incentives (based on absolute belief) play a crucial role in religious practice (church attendance and prayer). Furthermore, we find that when both positive (heaven) and negative (hell) incentives are available, the former have a much stronger effect than the latter. The results are...

ii @Copyright 2012, Xiaomeng Bian iii Dedication This dissertation is dedicated to all I have ever learnt from. Sincerely. iv Acknowledgement First, I would like to give my sincere thanks to my families: my parents, uncles and aunties, brothers and sisters, and my in-heaven grandparents. Their selfless love and firm support encourage me to face all the challenges in my study-and-life time.

Ailanthus altissima (tree of heaven), Simaroubaceae, is an early successional tree, native to China and North Vietnam, which has become invasive in Europe and on all other continents except Antarctica. It is most abundant in urban habitats and along transportation corridors, but can also invade natural habitats. This paper reviews the literature on the morphology, distribution, ecology, habitat...

We can learn about people’s conceptions of the ideal life by looking at what they imagine heaven to be like. Although voluptuous and gendered (and even sexist) accounts of the afterlife are familiar, more reflective views grow ever more distant from our actual human form of life—many Christians believe that in heaven there will be no marriage, sexual intercourse, or procreation. For those of us...