A complete transformation rule set and a minimal equation set for CNOT-based 3-qubit quantum circuits (Draft)

We introduce a complete transformation rule set and a minimal equation set for controlled-NOT (CNOT)-based quantum circuits. Using these rules, quantum circuits that compute the same Boolean function are reduced to the same normal form. We can thus easily check the equivalence of circuits by comparing their normal forms. By applying the Knuth-Bendix completion algorithm to a set of modified 18 equations introduced by Iwama et al. 2002, we obtain a complete transformation rule set (i.e., a set of transformation rules with the properties of `termination' and `confluence'). Our transformation rule set consists of 114 rules. Moreover, we discovered a minimal combination of equations for the initial equation set

Shinnyoen and the transmission of Japanese new religions abroad

This study examines the ways and the extent to which Japanese new religions that seek to attain an international presence adapt and alter their techniques of proselytism in moving from one culture to another, and the ways in which their development varies in non-Japanese cultures. In particular I focus on Shinnyoen, one of the largest new religions in Japan, which has achieved a foothold in Hawaii and other areas with large Japanese immigrant populations, but which has also begun to develop in Europe and other parts of Asia. Currently, movements such as Shinnyoen are in their infancy in Britain, although they have already begun to establish a presence and have developed to some degree beyond the Japanese population. Accordingly, the activities of such religious groups and the ways in which they seek to appeal to and attract non-Japanese followers form a highly appropriate topic for research. This study will examine Shinnyoen and its proselytizing campaign in three diverse locations - the UK, Hawaii, and Singapore - in order to glean a clear account of the dynamics involved in the proselytizing activities of Japanese new religions overseas. The ethos of Japanese new religious movements and the conditions (social, organizational, cultural) conducive for dissemination abroad, especially among local populations, are issues explored in the process. The extent to which these patterns differ at the various locations will also be examined in order to determine whether Shinnyoen attracts, and targets, the same type of people in Britain as it does in Singapore and Hawaii. What will emerge at the conclusion of this study is a clearer picture of the challenges Japanese new religions face in their efforts to expand overseas and flourish in foreign soil and the necessary provisions they must possess in their praxis and organizational structure if they are to meet these challenges

Using the Clean Water Act to Tackle Ocean Acidification: When Carbon Dioxide Pollutes the Oceans

Carbon dioxide is an invisible pollutant that threatens water quality and entire marine ecosystems. The oceans absorb carbon pollution from the atmosphere, which reacts with seawater causing it to become more acidic. Ocean acidification impairs the growth, survival and reproduction of marine animals, and if unabated will massively disrupt entire ecosystems. One of the most powerful tools that we have to combat ocean acidification is the Clean Water Act—a law that has successfully solved difficult water pollution problems for decades. This article will discuss how the Clean Water Act can be leveraged to address ocean acidification and to protect our oceans

The Mechanisms of Proliferation and Energy Metabolism in Oral Cancer

Human oral squamous cell carcinoma (HOSCC) is the most common head and neck malignant neoplasm. Therapy is generally performed in multidisciplinary approach that used chemotherapy, radiotherapy, and surgery against patients with oral cancer; however, we cannot avoid dysfunction due to its side effects or surgical defects, and it significantly impacts the postoperative quality of life, unfortunately. Therefore, a better understanding of the molecular mechanisms driving oral carcinogenesis may lead to new diagnostic and therapeutic approaches to this disease and improve the prognosis of HOSCC patients. Cancer cells process a fundamental change in its bioenergetics metabolism from normal cells on an altered glucose and lipid metabolism. Recent insights into tumor metabolism have further revealed that oncogenic signaling pathways directly promote metabolic reprogramming to upregulate biosynthesis of lipids, carbohydrates, protein, DNA, and RNA, leading to enhanced growth of tumors. Therefore, targeting cell metabolism has become a novel direction for drug development in oncology. Moreover, molecular mechanisms causing these metabolic changes are just starting to be unraveled. This chapter presents recent findings on molecular markers that have been involved in the mechanisms of proliferation and energy metabolism of oral cancer and in addition provides new perspectives on oral cancer diagnosis and treatments