In this task, you are given a context, a subject, a relation, and many options. Based on the context, from the options select the object entity that has the given relation with the subject. Answer with text (not indexes).

Input: Consider Input: Context: New England is a geographical region comprising six states of the northeast United States: Connecticut, Maine, Massachusetts, New Hampshire, Rhode Island, and Vermont. It is bordered by the state of New York to the west and south, and the Canadian provinces of New Brunswick and Quebec to the northeast and north, respectively. The Atlantic Ocean is to the east and southeast, and Long Island Sound is to the south. Boston is its largest city. Its largest metropolitan area is Greater Boston, which also includes Worcester (the second-largest city in New England), Manchester (the largest city in New Hampshire), and Providence (the capital and largest city of Rhode Island), with nearly a third of the entire region's population., Sovereignty is understood in jurisprudence as the full right and power of a governing body to govern itself without any interference from outside sources or bodies. In political theory, sovereignty is a substantive term designating supreme authority over some polity. It is a basic principle underlying the dominant Westphalian model of state foundation., Vermont is a state in the New England region of the northeast United States. It borders the other U.S. states of Massachusetts to the south, New Hampshire to the east, New York to the west, and the Canadian province of Quebec to the north. Lake Champlain forms half of Vermont's western border with the state of New York and the Green Mountains run north-south the length of the state., 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., 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., The Connecticut River is the longest river in the New England region of the United States. Flowing roughly southward for through four U.S. states, the Connecticut rises at the U.S. border with Quebec, Canada, and discharges at Long Island Sound. Its watershed encompasses five U.S. states and one Canadian province   via 148 tributaries, 38 of which are major rivers. Discharging at per second, the Connecticut produces 70% of Long Island Sound's fresh water., Rhode Island, officially the State of Rhode Island and Providence Plantations, is a state in the New England region of the northeastern United States. Rhode Island is the smallest in area, the eighth least populous, and the second most densely populated of the 50 U.S. states, following New Jersey. Its official name is also the longest of any state in the Union. Rhode Island is bordered by Connecticut to the west, Massachusetts to the north and east, and the Atlantic Ocean to the south via Rhode Island Sound and Block Island Sound. The state also shares a short maritime border with New York., U.S. Route 202 (US 202) is a highway stretching from Delaware to Maine, also passing through the states of Pennsylvania, New Jersey, New York, Connecticut, Massachusetts, and New Hampshire. The road has borne the number 202 since at least 1936. Before this, sections of the road were designated U.S. Route 122, as it intersected U.S. Route 22. Its current designation is based on its intersection with US 2 in Maine., A U.S. state is a constituent political entity of the United States of America. There are 50 states, which are bound together in a union with each other. Each state holds administrative jurisdiction over a defined geographic territory, and shares its sovereignty with the United States federal government. Due to the shared sovereignty between each state and the federal government, Americans are citizens of both the federal republic and of the state in which they reside. State citizenship and residency are flexible, and no government approval is required to move between states, except for persons covered by certain types of court orders (e.g., paroled convicts and children of divorced spouses who are sharing custody)., The Northeastern United States, also referred to as the American Northeast or simply the Northeast, is a geographical region of the United States of America bordered to the north by Canada, to the east by the Atlantic Ocean, to the south by the Southern United States, and to the west by the Midwestern United States. The Northeast is one of the four regions defined by the Census Bureau for the collection and analysis of statistics. The Census Bureau-defined region has a total area of with of that being land mass. Though lacking a unified cultural identity, the Northeastern region is the nation's most economically developed, densely populated, and culturally diverse region. Of the nation's four census regions, the Northeast is the second most urban, with 85 percent of its population residing in urban areas, led by the West with 90 percent., The Industrial Revolution was the transition to new manufacturing processes in the period from about 1760 to sometime between 1820 and 1840. This transition included going from hand production methods to machines, new chemical manufacturing and iron production processes, improved efficiency of water power, the increasing use of steam power, the development of machine tools and the rise of the factory system. Textiles were the dominant industry of the Industrial Revolution in terms of employment, value of output and capital invested; the textile industry was also the first to use modern production methods. The Industrial Revolution began in Great Britain and most of the important technological innovations were British. The social, economic and political changes in the previous centuries in Great Britain contributed. Whereas absolutism stayed the normal form of power execution through most parts of Europe, institutions ensured property rights and political safety to the people in the UK after the Glorious Revolution of 1688. Aided by these legal and cultural foundations, an entrepreneurial spirit and consumer revolution drove industrialisation in Britain, which would be emulated in countries around the world. A change in marrying patterns to getting married later made people able to accumulate more human capital during their youth, thereby encouraging economic development., New Jersey is a state in the Northeastern United States and mid-Atlantic regions of the United States. It is bordered on the north and east by New York, on the southeast and south by the Atlantic Ocean, on the west by Pennsylvania, and on the southwest by Delaware. New Jersey is the fourth-smallest state but the 11th-most populous and the most densely populated of the 50 United States. New Jersey lies entirely within the combined statistical areas of New York City and Philadelphia and is the third-wealthiest U.S. state by per capita income as of 2014., Finance is a field that deals with the study of investments. It includes the dynamics of assets and liabilities over time under conditions of different degrees of uncertainty and risk. Finance can also be defined as the science of money management. Finance aims to price assets based on their risk level and their expected rate of return. Finance can be broken into three different sub-categories: public finance, corporate finance and personal finance., Interstate 391 ( abbreviated I - 391 ) is an Auxiliary Interstate Highway located entirely within the U.S. State of Massachusetts . It runs from the I - 91/I - 391 interchange in Chicopee to the center of Holyoke , a distance of about 4.86 mi ( 7.82 km ) . It runs near the Connecticut River throughout its journey in Chicopee , and crosses into Holyoke and abruptly ends at High Street 0.4 miles ( 0.64 km ) south of U.S. Route 202 ., Biotechnology is the use of living systems and organisms to develop or make products, or "any technological application that uses biological systems, living organisms, or derivatives thereof, to make or modify products or processes for specific use" (UN Convention on Biological Diversity, Art. 2). Depending on the tools and applications, it often overlaps with the (related) fields of bioengineering, biomedical engineering, biomanufacturing, molecular engineering, etc., A federal republic is a federation of states with a republican form of government. At its core, the literal meaning of the word republic when used to reference a form of government means: "a country that is governed by elected representatives and by an elected leader (such as a president) rather than by a king or queen"., The Massachusett are a Native American people who historically lived in areas surrounding Massachusetts Bay, as well as northeast and southern Massachusetts in what is now the Commonwealth of Massachusetts, including present-day Greater Boston. Tribal members spoke the Massachusett language, which is part of the Algonquian language family. The present-day U.S state of Massachusetts is named after the tribe., The Atlantic Ocean is the second largest of the world's oceans with a total area of about . It covers approximately 20 percent of the Earth's surface and about 29 percent of its water surface area. It separates the "Old World" from the "New World"., Maine is the northernmost state in the New England region of the northeastern United States. Maine is the 39th most extensive and the 41st most populous of the U.S. states and territories. It is bordered by New Hampshire to the west, the Atlantic Ocean to the east, and the Canadian provinces of New Brunswick and Quebec to the north. Maine is the easternmost state in the contiguous United States, and the northernmost east of the Great Lakes. It is known for its jagged, rocky coastline; low, rolling mountains; heavily forested interior, and picturesque waterways; and also its seafood cuisine, especially clams and lobster. There is a continental climate throughout the state, even in coastal areas such as its most populous city of Portland. The capital is Augusta., New Hampshire is a state in the New England region of the northeastern United States. It is bordered by Massachusetts to the south, Vermont to the west, Maine and the Atlantic Ocean to the east, and the Canadian province of Quebec to the north. New Hampshire is the 5th smallest by land area and the 9th least populous of the 50 United States., Americans are citizens of the United States of America. The country is home to people of many different national origins. As a result, Americans do not equate their nationality with ethnicity, but with citizenship and allegiance. Although citizens make up the majority of Americans, non-citizen residents, dual citizens, and expatriates may also claim an American identity., Delaware is a state located in the Mid-Atlantic and/or Northeastern regions of the United States. It is bordered to the south and west by Maryland, to the northeast by New Jersey, and to the north by Pennsylvania. The state takes its name from Thomas West, 3rd Baron De La Warr, an English nobleman and Virginia's first colonial governor., Greater Boston is the metropolitan region of New England encompassing the municipality of Boston, the capital of the U.S. state of Massachusetts and the most populous city in New England, as well as its surrounding areas. The region forms the northern arc of the U.S. northeast megalopolis and as such, Greater Boston can be described as either a metropolitan statistical area (MSA), or as a broader combined statistical area (CSA). The MSA consists of most of the eastern third of Massachusetts, excluding the South Coast region and Cape Cod; while the CSA additionally includes the municipalities of Manchester (the largest city in the U.S. state of New Hampshire), Providence (the capital of the U.S. state of Rhode Island), Worcester, Massachusetts (the second largest city in New England), as well as the South Coast region and Cape Cod in Massachusetts. Greater Boston's most impactful contributions to human civilization involve the region's higher education institutions and sports culture. Greater Boston also constitutes a region influential upon American history and industry. The region and the state of Massachusetts are global leaders in biotechnology, engineering, higher education, finance, and maritime trade., Massachusetts ; officially the Commonwealth of Massachusetts, is the most populous state in the New England region of the northeastern United States. It is bordered by the Atlantic Ocean to the east, the states of Connecticut and Rhode Island to the south, New Hampshire and Vermont to the north, and New York to the west. The state is named for the Massachusett tribe, which once inhabited the area. The capital of Massachusetts and the most populous city in New England is Boston. Over 80% of Massachusetts' population lives in the Greater Boston metropolitan area, a region influential upon American history, academia, and industry. Originally dependent on agriculture, fishing and trade, Massachusetts was transformed into a manufacturing center during the Industrial Revolution. During the 20th century, Massachusetts' economy shifted from manufacturing to services. Modern Massachusetts is a global leader in biotechnology, engineering, higher education, finance, and maritime trade., 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., Long Island Sound is a tidal estuary of the Atlantic Ocean, lying between the eastern shores of Bronx County, New York City, southern Westchester County, and Connecticut to the north, and the North Shore of Long Island, to the south. From east to west, the sound stretches 110 miles (177 km) from the East River in New York City, along the North Shore of Long Island, to Block Island Sound. A mix of freshwater from tributaries and saltwater from the ocean, Long Island Sound is 21 miles (34 km) at its widest point and varies in depth from ., A "metropolitan area", sometimes referred to as a "metro area" or just "metro", is a region consisting of a densely populated urban core and its less-populated surrounding territories, sharing industry, infrastructure, and housing.
A metro area usually comprises multiple jurisdictions and municipalities: neighborhoods, townships, boroughs, cities, towns, exurbs, suburbs, counties, districts, states, and even nations like the eurodistricts. As social, economic and political institutions have changed, metropolitan areas have become key economic and political regions. Metropolitan areas include one or more urban areas, as well as satellite cities, towns and intervening rural areas that are socio-economically tied to the urban core, typically measured by commuting patterns., Pennsylvania (Pennsylvania German: "Pennsylvaani"), officially the Commonwealth of Pennsylvania, is a state located in the northeastern and Mid-Atlantic regions of the United States. The Appalachian Mountains run through its middle. The commonwealth borders Delaware to the southeast, Maryland to the south, West Virginia to the southwest, Ohio to the west, Lake Erie and the Canadian province of Ontario to the northwest, New York to the north, and New Jersey to the east., Boston (pronounced ) is the capital and most populous city of the Commonwealth of Massachusetts in the United States. Boston is also the seat of Suffolk County, although the county government was disbanded on July 1, 1999. The city proper covers with an estimated population of 667,137 in 2015, making it the largest city in New England and the 23rd most populous city in the United States. The city is the economic and cultural anchor of a substantially larger metropolitan area known as Greater Boston, a Metropolitan Statistical Area (MSA) home to a census-estimated 4.7 million people in 2014 and ranking as the tenth-largest such area in the country. Alternately, as a Combined Statistical Area (CSA), this wider commuting region is home to some 8.1 million people, making it the sixth-largest as such in the United States., Connecticut is the southernmost state in the New England region of the northeastern United States. Connecticut is also often grouped along with New York and New Jersey as the Tri-State Area. It is bordered by Rhode Island to the east, Massachusetts to the north, New York to the west, and Long Island Sound to the south. Its capital city is Hartford, and its most populous city is Bridgeport. The state is named for the Connecticut River, a major U.S. river that approximately bisects the state. The word "Connecticut" is derived from various anglicized spellings of an Algonquian word for "long tidal river"., Subject: interstate 391, Relation: located_in_the_administrative_territorial_entity, Options: (A) atlantic ocean (B) boston (C) calgary (D) canada (E) center (F) connecticut (G) delaware (H) earth (I) east (J) england (K) europe (L) forest (M) freshwater (N) hartford (O) jersey (P) king (Q) long island (R) maine (S) manchester (T) maryland (U) massachusetts (V) montreal (W) most (X) new hampshire (Y) new jersey (Z) new york city ([) normal (\) north america (]) northwest (^) of (_) pennsylvania (`) philadelphia (a) price (b) providence (c) quebec (d) rhode island (e) rise (f) river (g) road (h) south (i) southwest (j) spirit (k) suffolk (l) suffolk county (m) toronto (n) vancouver (o) vermont (p) west (q) westchester county

Output: vermont


Input: Consider Input: Context: A Grammy Award (originally called Gramophone Award), or Grammy, is an honor awarded by The Recording Academy to recognize outstanding achievement in the mainly English-language music industry. The annual presentation ceremony features performances by prominent artists, and the presentation of those awards that have a more popular interest. It shares recognition of the music industry as that of the other performance awards such as the Emmy Awards (television), the Tony Awards (stage performance), and the Academy Awards (motion pictures)., The Pacific Ocean is the largest of the Earth's oceanic divisions. It extends from the Arctic Ocean in the north to the Southern Ocean (or, depending on definition, to Antarctica) in the south and is bounded by Asia and Australia in the west and the Americas in the east., Slack-key guitar is a fingerstyle genre of guitar music that originated in Hawaii. Its name refers to its characteristic open tunings: the English term is a translation of the Hawaiian "k halu", which means "loosen the [tuning] key". Most slack-key tunings can be achieved by starting with a guitar in standard tuning and detuning or "slacking" one or more of the strings until the six strings form a single chord, frequently G major., 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. , Taiwan, officially the Republic of China (ROC), is a state in East Asia. Neighbors include China (officially the People's Republic of China, abbreviated as PRC) to the west, Japan to the northeast, and the Philippines to the south.
Taiwan is the most populous state that is not a member of the United Nations, and the one with the largest economy., Dancing Cat Records is a record label founded in 1983 by pianist George Winston to publish both his music and music in the Hawaiian slack-key guitar style. Its mission later expanded to cover other Hawaiian musicians. Dancing Cat's albums were originally distributed by Windham Hill Records. Since Windham Hill's buyout by Sony Music Entertainment in 2008, the label receives distribution from RCA Victor, but is not owned by Windham Hill or Sony Music., The Sea of Okhotsk is a marginal sea of the western Pacific Ocean, lying between the Kamchatka Peninsula on the east, the Kuril Islands on the southeast, the island of Hokkaido to the south, the island of Sakhalin along the west, and a long stretch of eastern Siberian coast (the Shantar Sea) along the west and north. The northeast corner is the Shelikhov Gulf. The sea is named after Okhotsk, the first Russian settlement in the Far East., "Henry Byrd redirects here. For those of a similar name, see Harry Byrd (disambiguation) or Henry Bird (disambiguation)"
Henry Roeland "Roy" Byrd (December 19, 1918  January 30, 1980), better known as Professor Longhair, was a New Orleans blues singer and pianist. He was active in two distinct periods, first in the heyday of early rhythm and blues and later in the resurgence of interest in traditional jazz after the founding of the New Orleans Jazz and Heritage Festival in 1970. His piano style has been described as "instantly recognizable, combining rumba, mambo, and calypso.", Montana is a state in the Western region of the United States. The state's name is derived from the Spanish word (mountain). Montana has several nicknames, although none official, including "Big Sky Country" and "The Treasure State", and slogans that include "Land of the Shining Mountains" and more recently "The Last Best Place". Montana has a border with three Canadian provinces: British Columbia, Alberta, and Saskatchewan, the only state to do so. It also borders North Dakota and South Dakota to the east, Wyoming to the south, and Idaho to the west and southwest. Montana is ranked 4th in size, but 44th in population and 48th in population density of the 50 United States. The western third of Montana contains numerous mountain ranges. Smaller island ranges are found throughout the state. In total, 77 named ranges are part of the Rocky Mountains. The eastern half of Montana is characterized by western prairie terrain and badlands., George Winston (born 1949) is an American pianist who was born in Michigan and grew up mainly in Montana (Miles City and Billings), as well as Mississippi and Florida. He is best known for his solo piano recordings; several of his albums from the early 1980s have sold millions of copies each. He plays in three styles: the melodic approach he came up with that he calls "rural folk piano"; stride piano, primarily inspired by Thomas "Fats" Waller and Teddy Wilson; and his primary interest, New Orleans R&B piano, influenced by James Booker, Professor Longhair, and Henry Butler., Hawaii is the 50th and most recent state to have joined the United States of America, having received statehood on August 21, 1959. Hawaii is the only U.S. state located in Oceania and the only one composed entirely of islands. It is the northernmost island group in Polynesia, occupying most of an archipelago in the central Pacific Ocean. Hawaii is the only U.S. state not located in the Americas., Asia is Earth's largest and most populous continent, located primarily in the eastern and northern hemispheres and sharing the continental landmass of Eurasia with the continent of Europe. Asia covers an area of , about 30% of Earth's total land area and 8.7% of the Earth's total surface area. The continent, which has long been home to the majority of the human population, was the site of many of the first civilizations. Asia is notable for not only its overall large size and population, but also dense and large settlements as well as vast barely populated regions within the continent of 4.4 billion people., The Grammy Award for Best New Age Album is presented to recording artists for quality albums in the new-age music genre at the Grammy Awards, a ceremony that was established in 1958 and originally called the Gramophone Awards. Honors in several categories are presented at the ceremony annually by the National Academy of Recording Arts and Sciences of the United States to "honor artistic achievement, technical proficiency and overall excellence in the recording industry, without regard to album sales or chart position"., Forest is the seventh album of pianist George Winston and his sixth solo piano album , released in 1994 . It was reissued on Dancing Cat Records in 2008 . The album won the 1996 Grammy Award for Best New Age Album . `` Japanese Music Box ( Itsuki No Komoriuta ) '' is a traditional Japanese lullaby that means Lullaby of Itsuki , a region in southern Japan ., Korea is a historical state in East Asia, since 1945 divided into two distinct sovereign states: North Korea (officially the "Democratic People's Republic of Korea") and South Korea (officially the "Republic of Korea"). Located on the Korean Peninsula, Korea is bordered by China to the northwest and Russia to the northeast. It is separated from Japan to the east by the Korea Strait and the East Sea., Subject: forest , Relation: record_label, Options: (A) album (B) australia (C) dancing cat records (D) english (E) europe (F) festival (G) island (H) japan (I) label (J) philippines (K) record (L) windham hill records

Output: windham hill records


Input: Consider Input: Context: Physics (from , from "phúsis" "nature") is the natural science that involves the study of matter and its motion and behavior through space and time, along with related concepts such as energy and force. One of the most fundamental scientific disciplines, the main goal of physics is to understand how the universe behaves., Sociology is the study of social behaviour or society, including its origins, development, organization, networks, and institutions. It is a social science that uses various methods of empirical investigation and critical analysis to develop a body of knowledge about social order, disorder, and change. Many sociologists aim to conduct research that may be applied directly to social policy and welfare, while others focus primarily on refining the theoretical understanding of social processes. Subject matter ranges from the micro-sociology level of individual agency and interaction to the macro level of systems and the social structure., A mathematical problem is a problem that is amenable to being represented, analyzed, and possibly solved, with the methods of mathematics. This can be a real-world problem, such as computing the orbits of the planets in the solar system, or a problem of a more abstract nature, such as Hilbert's problems.<br>
It can also be a problem referring to the nature of mathematics itself, such as Russell's Paradox., Neurology (from , "neuron", and the suffix, Statistical physics is a branch of physics that uses methods of probability theory and statistics, and particularly the mathematical tools for dealing with large populations and approximations, in solving physical problems. It can describe a wide variety of fields with an inherently stochastic nature. Its applications include many problems in the fields of physics, biology, chemistry, neurology, and even some social sciences, such as sociology. Its main purpose is to clarify the properties of matter in aggregate, in terms of physical laws governing atomic motion., The interdisciplinarity field of materials science, also commonly termed materials science and engineering, involves the discovery and design of new materials, with an emphasis on solids. The intellectual origins of materials science stem from the Enlightenment, when researchers began to use analytical thinking from chemistry, physics, and engineering to understand ancient, phenomenological observations in metallurgy and mineralogy. Materials science still incorporates elements of physics, chemistry, and engineering. As such, the field was long considered by academic institutions as a sub-field of these related fields. Beginning in the 1940s, materials science began to be more widely recognized as a specific and distinct field of science and engineering, and major technical universities around the world created dedicated schools of the study. 
Many of the most pressing scientific problems humans currently face are due to the limits of the materials that are available. Thus, breakthroughs in materials science are likely to affect the future of technology significantly., Chemistry is a branch of physical science that studies the composition, structure, properties and change of matter. Chemistry includes topics such as the properties of individual atoms, how atoms form chemical bonds to create chemical compounds, the interactions of substances through intermolecular forces that give matter its general properties, and the interactions between substances through chemical reactions to form different substances., Probability theory is the branch of mathematics concerned with probability, the analysis of random phenomena. The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non-deterministic events or measured quantities that may either be single occurrences or evolve over time in an apparently random fashion., In probability theory and related fields, a stochastic or random process is a mathematical object usually defined as a collection of random variables. Historically, the random variables were associated with or indexed by a set of numbers, usually viewed as points in time, giving the interpretation of a stochastic process representing numerical values of some system randomly changing over time, such as the growth of a bacterial population, an electrical current fluctuating due to thermal noise, or the movement of a gas molecule. Stochastic processes are widely used as mathematical models of systems and phenomena that appear to vary in a random manner. They have applications in many disciplines including sciences such as biology, chemistry, ecology, neuroscience, and physics as well as technology and engineering fields such as image processing, signal processing, information theory, computer science, cryptography and telecommunications. Furthermore, seemingly random changes in financial markets have motivated the extensive use of stochastic processes in finance., Mathematics (from Greek  "máthma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics., Biology is a natural science concerned with the study of life and living organisms, including their structure, function, growth, evolution, distribution, identification and taxonomy. Modern biology is a vast and eclectic field, composed of many branches and subdisciplines. However, despite the broad scope of biology, there are certain general and unifying concepts within it that govern all study and research, consolidating it into single, coherent field. In general, biology recognizes the cell as the basic unit of life, genes as the basic unit of heredity, and evolution as the engine that propels the synthesis and creation of new species. It is also understood today that all the organisms survive by consuming and transforming energy and by regulating their internal environment to maintain a stable and vital condition known as homeostasis., In mathematics, random graph is the general term to refer to probability distributions over graphs. Random graphs may be described simply by a probability distribution, or by a random process which generates them. The theory of random graphs lies at the intersection between graph theory and probability theory. From a mathematical perspective, random graphs are used to answer questions about the properties of "typical" graphs. Its practical applications are found in all areas in which complex networks need to be modeled  a large number of random graph models are thus known, mirroring the diverse types of complex networks encountered in different areas. In a mathematical context, "random graph" refers almost exclusively to the ErdsRényi random graph model. In other contexts, any graph model may be referred to as a "random graph"., A mathematician is someone who uses an extensive knowledge of mathematics in his/her work, typically to solve mathematical problems., Theodore Edward `` Ted '' Harris ( 11 January 1919 -- 3 November 2005 ) was an American mathematician known for his research on stochastic processes , including such areas as general state - space Markov chains ( often now called Harris chains ) , the theory of branching processes and stochastic models of interacting particle systems such as the contact process . The Harris inequality in statistical physics and percolation theory is named after him . He received his Ph.D. at Princeton University in 1947 under advisor Samuel Wilks . From 1947 until 1966 he worked for the RAND Corporation , heading their mathematics department from 1959 to 1965 . From 1966 until retirement in 1989 he was Professor of Mathematics and Electrical Engineering at University of Southern California . He was elected to the United States National Academy of Sciences in 1988 ., In statistical physics and mathematics, percolation theory describes the behaviour of connected clusters in a random graph. The applications of percolation theory to materials science and other domains are discussed in the article percolation., In the mathematical study of stochastic processes, a Harris chain is a Markov chain where the chain returns to a particular part of the state space an unbounded number of times. Harris chains are regenerative processes and are named after Theodore Harris. The theory of Harris chains and Harris recurrence is useful for treating Markov chains on general (possibly uncountably infinite) state spaces. , Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data. In applying statistics to, e.g., a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model process to be studied. Populations can be diverse topics such as "all people living in a country" or "every atom composing a crystal". Statistics deals with all aspects of data including the planning of data collection in terms of the design of surveys and experiments., In physics, chemistry and materials science, percolation (from Latin "perclre", "to filter" or "trickle through") refers to the movement and filtering of fluids through porous materials., The word stochastic is an adjective in English that describes something that was randomly determined. The word first appeared in English to describe a mathematical object called a stochastic process, but now in mathematics the terms stochastic process and random process are considered interchangeable. The word, with its current definition meaning random, came from German, but it originally came from the Greek word "" ("stokhos", "aim")., Subject: ted harris , Relation: field_of_work, Options: (A) biology (B) chemistry (C) design (D) distribution (E) english (F) evolution (G) graph theory (H) interdisciplinarity (I) mathematician (J) mathematics (K) natural science (L) nature (M) neurology (N) physics (O) probability theory (P) research (Q) science (R) sociology (S) statistical model (T) statistics
Output: probability theory