Problem: Given the question: Information: - Colin Brian Haselgrove ( 26 September 1926 -- 27 May 1964 ) was an English mathematician who is best known for his disproof of the Polya conjecture in 1958 . Haselgrove was educated at Blundell 's School and from there won a scholarship to King 's College , University of Cambridge . He obtained his Ph.D. , which was supervised by Albert Ingham , from Cambridge in 1956 . - In number theory, the Polya conjecture stated that "most" (i.e., 50% or more) of the natural numbers less than any given number have an "odd" number of prime factors. The conjecture was posited by the Hungarian mathematician George Polya in 1919, and proved false in 1958 by C. Brian Haselgrove. The size of the smallest counterexample is often used to show how a conjecture can be true for many numbers, and still be false. - In mathematics, the natural numbers are those used for counting (as in "there are "six" coins on the table") and ordering (as in "this is the "third" largest city in the country"). In common language, words used for counting are "cardinal numbers" and words used for ordering are "ordinal numbers". - George Polya (pronounced ; December 13, 1887 September 7, 1985) was a Hungarian mathematician. He was a professor of mathematics from 1914 to 1940 at ETH Zurich and from 1940 to 1953 at Stanford University. He made fundamental contributions to combinatorics, number theory, numerical analysis and probability theory. He is also noted for his work in heuristics and mathematics education. - In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly. The prime factorization of a positive integer is a list of the integer's prime factors, together with their multiplicities; the process of determining these factors is called integer factorization. The fundamental theorem of arithmetic says that every positive integer has a single unique prime factorization. - Number theory or, in older usage, arithmetic is a branch of pure mathematics devoted primarily to the study of the integers. It is sometimes called "The Queen of Mathematics" because of its foundational place in the discipline. Number theorists study prime numbers as well as the properties of objects made out of integers (e.g., rational numbers) or defined as generalizations of the integers (e.g., algebraic integers). - In mathematics, a conjecture is a conclusion or proposition based on incomplete information, for which no proof has been found. Conjectures such as the Riemann hypothesis (still a conjecture) or Fermat's Last Theorem (which was a conjecture until proven in 1995) have shaped much of mathematical history as new areas of mathematics are developed in order to prove them. Given the information, choose the subject and object entities that have the relation of 'field of work'.
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The answer is:
c. brian haselgrove , number theory
Please answer this: Information: - Arsaces II , also Artabanus I ( Persian : ) , of the Arsacid dynasty was King of Parthia between 211 BC and 185 BC. Greek ' Arsaces ' appears as ' Artabanus ' in Latin sources , and both forms appear in history books . - Parthia (Parava, , Paraw, , Pahlaw) is a historical region located in north-eastern Iran. It was the political and cultural base of the Arsacid dynasty, rulers of the Parthian Empire (247 BC 224 AD). - Iran (, also , ; ' ), also known as Persia, officially the Islamic Republic of Iran (' ), is a sovereign state in Western Asia. It is bordered to the northwest by Armenia, the "de facto" Nagorno-Karabakh Republic, and Azerbaijan; to the north by the Caspian Sea; to the northeast by Turkmenistan; to the east by Afghanistan and Pakistan; to the south by the Persian Gulf and the Gulf of Oman; and to the west by Turkey and Iraq. Comprising a land area of , it is the second-largest country in the Middle East and the 18th-largest in the world. With 82.8 million inhabitants, Iran is the world's 17th-most-populous country. It is the only country with both a Caspian Sea and an Indian Ocean coastline. The country's central location in Eurasia and Western Asia, and its proximity to the Strait of Hormuz, make it of great geostrategic importance. Tehran is the country's capital and largest city, as well as its leading economic center. - The Parthian Empire (247BC 224AD), also known as the Arsacid Empire, was a major Iranian political and cultural power in ancient Iran and Iraq. Its latter name comes from Arsaces I of Parthia who, as leader of the Parni tribe, founded it in the mid-3rd century BC when he conquered the region of Parthia in Iran's northeast, then a satrapy (province) in rebellion against the Seleucid Empire. Mithridates I of Parthia (r."c".171138BC) greatly expanded the empire by seizing Media and Mesopotamia from the Seleucids. At its height, the Parthian Empire stretched from the northern reaches of the Euphrates, in what is now central-eastern Turkey, to eastern Iran. The empire, located on the Silk Road trade route between the Roman Empire in the Mediterranean Basin and the Han Empire of China, became a center of trade and commerce. Given the information, choose the subject and object entities that have the relation of 'father'.
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Answer:
arsaces ii of parthia , arsaces i of parthia