query: occupation david avis
supports: Broadly speaking, pure mathematics is mathematics that studies entirely abstract concepts. This was a recognizable category of mathematical activity from the 19th century onwards, at variance with the trend towards meeting the needs of navigation, astronomy, physics, economics, engineering, and so on. Industry is the production of goods or related services within an economy. The major source of revenue of a group or company is the indicator of its relevant industry. When a large group has multiple sources of revenue generation, it is considered to be working in different industries. Manufacturing industry became a key sector of production and labour in European and North American countries during the Industrial Revolution, upsetting previous mercantile and feudal economies. This came through many successive rapid advances in technology, such as the production of steel and coal. In mathematics and computer science, an algorithm is a self-contained sequence of actions to be performed. Algorithms perform calculation, data processing, and/or automated reasoning tasks. Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry. Some purely geometrical problems arise out of the study of computational geometric algorithms, and such problems are also considered to be part of computational geometry. While modern computational geometry is a recent development, it is one of the oldest fields of computing with history stretching back to antiquity.  James McGill (October 6, 1744  December 19, 1813) was a British businessman and philanthropist best known for being the founder of McGill University, Montreal. He was elected to the Legislative Assembly of Lower Canada for Montreal West in 1792 and was appointed to the Executive Council of Lower Canada in 1793. He was the first honorary Lieutenant-Colonel of The Canadian Grenadier Guards. He was also a prominent member of the Château Clique and one of the original founding members of the Beaver Club. His summer home stood within the Golden Square Mile. , or is a national university in Kyoto, Japan. It is the second oldest Japanese university, one of Asia's highest ranked universities and one of Japan's National Seven Universities. One of Asias leading research-oriented institutions, Kyoto University is famed for producing world-class researchers, including ten Nobel Prize laureates, two Fields medalists and one Gauss Prize winner. Geometry (from the ; "geo-" "earth", "-metron" "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer. The Island of Montreal, in southwestern Quebec, Canada, is located at the confluence of the Saint Lawrence and Ottawa rivers. It is separated from Île Jésus (Laval) by the Rivière des Prairies. Canada (French: ) is a country in the northern half of North America. Its ten provinces and three territories extend from the Atlantic to the Pacific and northward into the Arctic Ocean, covering , making it the world's second-largest country by total area and the fourth-largest country by land area. Canada's border with the United States is the world's longest land border. The majority of the country has a cold or severely cold winter climate, but southerly areas are warm in summer. Canada is sparsely populated, the majority of its land territory being dominated by forest and tundra and the Rocky Mountains. About four-fifths of the country's population of 36 million people is urbanized and live near the southern border. Its capital is Ottawa, its largest city is Toronto; other major urban areas include Montreal, Vancouver, Calgary, Edmonton, Quebec City, Winnipeg and Hamilton. McGill University is an English and French-language public research university in Montreal, Quebec, Canada, ranked among the world's top 30 institutions. It was established in 1821 by royal charter, issued by King George IV of Great Britain. The University bears the name of James McGill, a prominent Montreal merchant from Scotland whose bequest in 1813 formed the university's precursor, McGill College. Name.
  In Japanese, the city has been called Ky, Miyako, or Ky no Miyako. In the 11th century, the city was renamed Kyoto ("capital city"), after the Chinese word for capital city, '. After the city of Edo was renamed Tokyo (meaning "Eastern Capital") in 1868, and the seat of the Emperor was transferred there, Kyoto was known for a short time as Saiky (meaning "Western Capital"). The Nobel Prize (; Swedish definite form, singular: "Nobelpriset") is a set of annual international awards bestowed in a number of categories by Swedish and Norwegian institutions in recognition of academic, cultural, and/or scientific advances. Applied mathematics is a branch of mathematics that deals with mathematical methods that find use in science, engineering, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models. In the past, practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics where abstract concepts are studied for their own sake. The activity of applied mathematics is thus intimately connected with research in pure mathematics. David Michael Avis ( born March 20 , 1951 ) is a Canadian and British computer scientist known for his contributions to geometric computations . Avis is a professor in computational geometry and applied mathematics in the School of Computer Science , McGill University , in Montreal . Since 2010 , he belongs to Department of Communications and Computer Engineering , School of Informatics , Kyoto University . Avis received his Ph.D. in 1977 from Stanford University . He has published more than 70 journal papers and articles . Writing with Komei Fukuda , Avis proposed a reverse - search algorithm for the vertex enumeration problem ; their algorithm generates all of the vertices of a convex polytope . He has a collaboration article with Paul Erds . Therefore , his Erds number is 1 . Japan ("Nippon" or "Nihon" ; formally "" or "Nihon-koku", means "State of Japan") is a sovereign island nation in Eastern Asia. Located in the Pacific Ocean, It is lying off the eastern coast of the Asia Mainland (east of China, Korea, Russia) and stretching from the Sea of Okhotsk in the north to the East China Sea and near Taiwan in the southwest.  Engineering is the application of mathematics and scientific, economic, social, and practical knowledge in order to invent, innovate, design, build, maintain, research, and improve structures, machines, tools, systems, components, materials, processes, solutions, and organizations. Science is a systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the universe. Montreal officially Montréal in both Canadian English and French, is the most populous municipality in Quebec and the 2nd-most populous in Canada. Originally called "Ville-Marie", or "City of Mary," it is named after Mount Royal, the triple-peaked hill in the heart of the city. The city is on the Island of Montreal, which took its name from the same source as the city, and a few much smaller peripheral islands, the largest of which is Île Bizard. It has a distinct four-season continental climate with warm to hot summers and cold snowy winters. Mount Royal is a large volcanic-related hill or small mountain in the city of Montreal, immediately west of downtown Montreal, Quebec (in Canada), the city to which it gave its name. Quebec (pronounced or ) is the second-most populous province of Canada and the only one to have a predominantly French-speaking population, with French as the sole provincial official language. Computer science is the study of the theory, experimentation, and engineering that form the basis for the design and use of computers. It is the scientific and practical approach to computation and its applications and the systematic study of the feasibility, structure, expression, and mechanization of the methodical procedures (or algorithms) that underlie the acquisition, representation, processing, storage, communication of, and access to information. An alternate, more succinct definition of computer science is the study of automating algorithmic processes that scale. A computer scientist specializes in the theory of computation and the design of computational systems. A royal charter is a formal document issued by a monarch as letters patent, granting a right or power to an individual or a body corporate. They were, and are still, used to establish significant organisations such as cities (with municipal charters) or universities and learned societies. Charters should be distinguished from warrants and letters of appointment, as they have perpetual effect. Typically, a Royal Charter is produced as a high-quality work of calligraphy on vellum. The British monarchy has issued over 980 royal charters. Of these about 750 remain in existence. The earliest was to the town of Tain in 1066, making it the oldest Royal Burgh in Scotland, followed by the University of Cambridge in 1231. Charters continue to be issued by the British Crown, a recent example being that awarded to the Chartered Institute for the Management of Sport and Physical Activity, on 7 April 2011. A computer is a device that can be instructed to carry out an arbitrary set of arithmetic or logical operations automatically. The ability of computers to follow a sequence of operations, called a "program", make computers very flexible and useful. Such computers are used as control systems for a very wide variety of industrial and consumer devices. This includes simple special purpose devices like microwave ovens and remote controls, factory devices such as industrial robots and computer assisted design, but also in general purpose devices like personal computers and mobile devices such as smartphones. The Internet is run on computers and it connects millions of other computers. A university ("a whole", "a corporation") is an institution of higher (or tertiary) education and research which grants academic degrees in various subjects. 
  Universities typically provide undergraduate education and postgraduate education. A research university is a university that expects all its tenured and tenure-track faculty to continuously engage in research, as opposed to merely requiring it as a condition of an initial appointment or tenure. Such universities can be recognized by their strong focus on innovative research and the prestige of their brand names. On the one hand, research universities strive to recruit faculty who are the most brilliant minds in their disciplines in the world, and their students enjoy the opportunity to learn from such experts. On the other hand, new students are often disappointed to realize their undergraduate courses at research universities are overly academic and fail to provide vocational training with immediate "real world" applications; but many employers value degrees from research universities because they know that such coursework develops fundamental skills like critical thinking. 
candidates: academic canada computer emperor engineering faculty founder king lieutenant major mathematician monarch mountain official philanthropist physics research saint science sovereign taiwan
answer: mathematician