Task: Question Answering
Input (English): Context: Kiev or Kyiv is the capital and largest city of Ukraine, located in the north central part of the country on the Dnieper River. The population in July 2015 was (though higher estimated numbers have been cited in the press), making Kiev the 7th most populous city in Europe., 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., Pafnuty Lvovich Chebyshev ( ) was a Russian mathematician. His name can be alternatively transliterated as "Chebychev", "Chebysheff", Chebychov, "Chebyshov"; or "Tchebychev", "Tchebycheff" (French transcriptions); or "Tschebyschev", "Tschebyschef", "Tschebyscheff" (German transcriptions)., In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev, are a sequence of orthogonal polynomials which are related to de Moivre's formula and which can be defined recursively. One usually distinguishes between Chebyshev polynomials of the first kind which are denoted and Chebyshev polynomials of the second kind which are denoted . The letter is used because of the alternative transliterations of the name "Chebyshev" as "Tchebycheff", "Tchebyshev" (French) or "Tschebyschow" (German)., Space is the boundless three-dimensional extent in which objects and events have relative position and direction. Physical space is often conceived in three linear dimensions, although modern physicists usually consider it, with time, to be part of a boundless four-dimensional continuum known as spacetime. The concept of space is considered to be of fundamental importance to an understanding of the physical universe. However, disagreement continues between philosophers over whether it is itself an entity, a relationship between entities, or part of a conceptual framework., A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols). Definitions can be classified into two large categories, intensional definitions (which try to give the essence of a term) and extensional definitions (which proceed by listing the objects that a term describes). Another important category of definitions is the class of ostensive definitions, which convey the meaning of a term by pointing out examples. A term may have many different senses and multiple meanings, and thus require multiple definitions., The Remez algorithm or Remez exchange algorithm, published by Evgeny Yakovlevich Remez in 1934, is an iterative algorithm used to find simple approximations to functions, specifically, approximations by functions in a Chebyshev space that are the best in the uniform norm "L" sense., In mathematics, de Moivre's formula (also known as de Moivre's theorem and de Moivre's identity), named after Abraham de Moivre, states that for any complex number (and, in particular, for any real number) and integer it holds that, Belarus ( lat. ', ), officially the Republic of Belarus, formerly known by its Russian name Byelorussia (though this name is no longer used in Belarus itself, even in Russian language), is a landlocked country in Eastern Europe bordered by Russia to the northeast, Ukraine to the south, Poland to the west, and Lithuania and Latvia to the northwest. Its capital and most populous city is Minsk. Over 40% of its is forested. Its strongest economic sectors are service industries and manufacturing. Until the 20th century, different states at various times controlled the lands of modern-day Belarus, including the Principality of Polotsk (11th to 14th centuries), the Grand Duchy of Lithuania, the PolishLithuanian Commonwealth, and the Russian Empire., A mathematician is someone who uses an extensive knowledge of mathematics in his/her work, typically to solve mathematical problems., In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called "elements", or "terms"). The number of elements (possibly infinite) is called the "length" of the sequence. Unlike a set, order matters, and exactly the same elements can appear multiple times at different positions in the sequence. Formally, a sequence can be defined as a function whose domain is either the set of the natural numbers (for infinite sequences) or the set of the first "n" natural numbers (for a sequence of finite length "n"). The position of an element in a sequence is its "rank" or "index"; it is the integer from which the element is the image. It depends on the context or of a specific convention, if the first element has index 0 or 1. When a symbol has been chosen for denoting a sequence, the "n"th element of the sequence is denoted by this symbol with "n" as subscript; for example, the "n"th element of the Fibonacci sequence is generally denoted "F"., Evgeny Yakovlevich Remez (sometimes spelled as Evgenii Yakovlevich Remez, ; (born 1895 in Mstislavl, now Belarus; died 1975 in Kiev) was a Soviet mathematician. He is known for his work in the constructive function theory, in particular, for the Remez algorithm and the Remez inequality., Transliteration is the conversion of a text from one script to another., Quantity is a property that can exist as a magnitude or multitude. Quantities can be compared in terms of "more", "less", or "equal", or by assigning a numerical value in terms of a unit of measurement. Quantity is among the basic classes of things along with quality, substance, change, and relation. Some quantities are such by their inner nature (as number), while others are functioning as states (properties, dimensions, attributes) of things such as heavy and light, long and short, broad and narrow, small and great, or much and little. A small quantity is sometimes referred to as a quantulum., In mathematics , the Remez inequality , discovered by the Soviet mathematician Evgeny Yakovlevich Remez ( Remez 1936 ) , gives a bound on the sup norms of certain polynomials , the bound being attained by the Chebyshev polynomials ., Subject: remez inequality, Relation: instance_of, Options: (A) 1975 (B) algorithm (C) capital (D) change (E) city (F) collection (G) convention (H) country (I) day (J) definition (K) empire (L) exchange (M) formula (N) four (O) framework (P) function (Q) grand duchy (R) inequality (S) integer (T) language (U) letter (V) magnitude (W) manufacturing (X) mathematics (Y) may (Z) name ([) norm (\) property (]) quality (^) quantity (_) range (`) rank (a) real number (b) relation (c) republic (d) script (e) sequence (f) set (g) soviet (h) space (i) spacetime (j) statement (k) structure (l) study (m) text (n) theorem (o) three (p) transliteration (q) unit of measurement (r) work
Output (English): theorem