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59 relations: Bracket, Carmichael function, China, Convergent series, Coprime integers, Cryptologia, Cyclic permutation, Decimal, Decimal representation, Decimal separator, Diehard tests, Division algorithm, Divisor, Duodecimal, Ellipsis, Euler's totient function, Europe, Exponentiation, Fermat's little theorem, France, Full reptend prime, Geometric series, History of the Theory of Numbers, India, Infinity, Integer, Irrational number, Irreducible fraction, Latin America, Least common multiple, Leonard Eugene Dickson, Linear equation, Long division, Midy's theorem, Modular arithmetic, Multiplicative order, Numerical digit, Parasitic number, Periodic function, Pi, Prime number, Primitive root modulo n, Pseudorandomness, Radix, Ratio, Rational number, Safe prime, Series (mathematics), Spain, Square root of 2, ..., Switzerland, The Mathematical Gazette, Unique prime, United Kingdom, United States, Vinculum (symbol), 0, 0.999..., 142,857. Expand index (9 more) »
Bracket
A bracket is a tall punctuation mark typically used in matched pairs within text, to set apart or interject other text.
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Carmichael function
In number theory, the Carmichael function associates to every positive integer n a positive integer \lambda(n), defined as the smallest positive integer m such that (Dropping the phrase "between 1 and n" leads to an equivalent definition.) In algebraic terms, \lambda(n) equals the exponent of the multiplicative group of integers modulo ''n''.
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China
China, officially the People's Republic of China (PRC), is a unitary one-party sovereign state in East Asia and the world's most populous country, with a population of around /1e9 round 3 billion.
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Convergent series
In mathematics, a series is the sum of the terms of an infinite sequence of numbers.
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Coprime integers
In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.
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Cryptologia
Cryptologia is a journal in cryptography published quarterly since January 1977.
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Cyclic permutation
In mathematics, and in particular in group theory, a cyclic permutation (or cycle) is a permutation of the elements of some set X which maps the elements of some subset S of X to each other in a cyclic fashion, while fixing (that is, mapping to themselves) all other elements of X. If S has k elements, the cycle is called a k-cycle.
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Decimal
The decimal numeral system (also called base-ten positional numeral system, and occasionally called denary) is the standard system for denoting integer and non-integer numbers.
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Decimal representation
A decimal representation of a non-negative real number r is an expression in the form of a series, traditionally written as a sum where a0 is a nonnegative integer, and a1, a2,...
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Decimal separator
A decimal separator is a symbol used to separate the integer part from the fractional part of a number written in decimal form.
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Diehard tests
The diehard tests are a battery of statistical tests for measuring the quality of a random number generator.
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Division algorithm
A division algorithm is an algorithm which, given two integers N and D, computes their quotient and/or remainder, the result of division.
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Divisor
In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder.
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Duodecimal
The duodecimal system (also known as base 12 or dozenal) is a positional notation numeral system using twelve as its base.
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Ellipsis
An ellipsis (plural ellipses; from the ἔλλειψις, élleipsis, 'omission' or 'falling short') is a series of dots (typically three, such as "…") that usually indicates an intentional omission of a word, sentence, or whole section from a text without altering its original meaning.
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Euler's totient function
In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to.
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Europe
Europe is a continent located entirely in the Northern Hemisphere and mostly in the Eastern Hemisphere.
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Exponentiation
Exponentiation is a mathematical operation, written as, involving two numbers, the base and the exponent.
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Fermat's little theorem
Fermat's little theorem states that if is a prime number, then for any integer, the number is an integer multiple of.
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France
France, officially the French Republic (République française), is a sovereign state whose territory consists of metropolitan France in Western Europe, as well as several overseas regions and territories.
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Full reptend prime
In number theory, a full reptend prime, full repetend prime, proper primeDickson, Leonard E., 1952, History of the Theory of Numbers, Volume 1, Chelsea Public.
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Geometric series
In mathematics, a geometric series is a series with a constant ratio between successive terms.
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History of the Theory of Numbers
History of the Theory of Numbers is a three-volume work by L. E. Dickson summarizing work in number theory up to about 1920.
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India
India (IAST), also called the Republic of India (IAST), is a country in South Asia.
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Infinity
Infinity (symbol) is a concept describing something without any bound or larger than any natural number.
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Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
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Irrational number
In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.
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Irreducible fraction
An irreducible fraction (or fraction in lowest terms or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and -1, when negative numbers are considered).
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Latin America
Latin America is a group of countries and dependencies in the Western Hemisphere where Spanish, French and Portuguese are spoken; it is broader than the terms Ibero-America or Hispanic America.
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Least common multiple
In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b. Since division of integers by zero is undefined, this definition has meaning only if a and b are both different from zero.
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Leonard Eugene Dickson
Leonard Eugene Dickson (January 22, 1874 – January 17, 1954) was an American mathematician.
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Linear equation
In mathematics, a linear equation is an equation that may be put in the form where x_1, \ldots, x_n are the variables or unknowns, and c, a_1, \ldots, a_n are coefficients, which are often real numbers, but may be parameters, or even any expression that does not contain the unknowns.
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Long division
In arithmetic, long division is a standard division algorithm suitable for dividing multidigit numbers that is simple enough to perform by hand.
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Midy's theorem
In mathematics, Midy's theorem, named after French mathematician E. Midy, is a statement about the decimal expansion of fractions a/p where p is a prime and a/p has a repeating decimal expansion with an even period.
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Modular arithmetic
In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).
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Multiplicative order
In number theory, given an integer a and a positive integer n with gcd(a,n).
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Numerical digit
A numerical digit is a single symbol (such as "2" or "5") used alone, or in combinations (such as "25"), to represent numbers (such as the number 25) according to some positional numeral systems.
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Parasitic number
An n-parasitic number (in base 10) is a positive natural number which can be multiplied by n by moving the rightmost digit of its decimal representation to the front.
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Periodic function
In mathematics, a periodic function is a function that repeats its values in regular intervals or periods.
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Pi
The number is a mathematical constant.
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Prime number
A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
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Primitive root modulo n
In modular arithmetic, a branch of number theory, a number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n. That is, for every integer a coprime to n, there is an integer k such that gk ≡ a (mod n).
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Pseudorandomness
A pseudorandom process is a process that appears to be random but is not.
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Radix
In mathematical numeral systems, the radix or base is the number of unique digits, including zero, used to represent numbers in a positional numeral system.
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Ratio
In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.
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Rational number
In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.
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Safe prime
A safe prime is a prime number of the form 2p + 1, where p is also a prime.
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Series (mathematics)
In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity.
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Spain
Spain (España), officially the Kingdom of Spain (Reino de España), is a sovereign state mostly located on the Iberian Peninsula in Europe.
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Square root of 2
The square root of 2, or the (1/2)th power of 2, written in mathematics as or, is the positive algebraic number that, when multiplied by itself, gives the number 2.
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Switzerland
Switzerland, officially the Swiss Confederation, is a sovereign state in Europe.
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The Mathematical Gazette
The Mathematical Gazette is an academic journal of mathematics education, published three times yearly, that publishes "articles about the teaching and learning of mathematics with a focus on the 15–20 age range and expositions of attractive areas of mathematics." It was established in 1894 by Edward Mann Langley as the successor to the Reports of the Association for the Improvement of Geometrical Teaching.
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Unique prime
In recreational number theory, a unique prime or unique period prime is a certain kind of prime number.
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United Kingdom
The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom (UK) or Britain,Usage is mixed with some organisations, including the and preferring to use Britain as shorthand for Great Britain is a sovereign country in western Europe.
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United States
The United States of America (USA), commonly known as the United States (U.S.) or America, is a federal republic composed of 50 states, a federal district, five major self-governing territories, and various possessions.
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Vinculum (symbol)
A vinculum is a horizontal line used in mathematical notation for a specific purpose.
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0
0 (zero) is both a number and the numerical digit used to represent that number in numerals.
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0.999...
In mathematics, 0.999... (also written 0., among other ways), denotes the repeating decimal consisting of infinitely many 9s after the decimal point (and one 0 before it).
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142,857
142857, the six repeating digits of, 0.
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Recurrent fraction, Recurring decimal, Recurring decimals, Recurring number, Repeatan, Repeating Decimal, Repeating decimals, Repeating fraction, Repetend, Repitan, Semi-cyclic number, Semicyclic number, Terminating decimal.
References
[1] https://en.wikipedia.org/wiki/Repeating_decimal
