Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Install
Faster access than browser!
 

Polite number

Index Polite number

In number theory, a polite number is a positive integer that can be written as the sum of two or more consecutive positive integers. [1]

22 relations: Bijection, Bijective proof, Concrete Mathematics, Cribbage, Divisor, Fermat number, Fibonacci Quarterly, James Joseph Sylvester, Lambek–Moser theorem, Mersenne prime, Natural number, Number theory, Parity (mathematics), Partition (number theory), Perfect number, Power of two, Prime number, Stairs, Trapezoid, Triangular number, William J. LeVeque, Young tableau.

Bijection

In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.

New!!: Polite number and Bijection · See more »

Bijective proof

In combinatorics, bijective proof is a proof technique that finds a bijective function f: A → B between two finite sets A and B, or a size-preserving bijective function between two combinatorial classes, thus proving that they have the same number of elements, |A|.

New!!: Polite number and Bijective proof · See more »

Concrete Mathematics

Concrete Mathematics: A Foundation for Computer Science, by Ronald Graham, Donald Knuth, and Oren Patashnik, first published in 1989, is a textbook that is widely used in computer-science departments as a substantive but light-hearted treatment of the analysis of algorithms.

New!!: Polite number and Concrete Mathematics · See more »

Cribbage

Cribbage, or crib, is a card game traditionally for two players, but commonly played with three, four or more, that involves playing and grouping cards in combinations which gain points.

New!!: Polite number and Cribbage · See more »

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.

New!!: Polite number and Divisor · See more »

Fermat number

In mathematics a Fermat number, named after Pierre de Fermat who first studied them, is a positive integer of the form where n is a nonnegative integer.

New!!: Polite number and Fermat number · See more »

Fibonacci Quarterly

The Fibonacci Quarterly is a scientific journal on mathematical topics related to the Fibonacci numbers, published four times per year.

New!!: Polite number and Fibonacci Quarterly · See more »

James Joseph Sylvester

James Joseph Sylvester FRS (3 September 1814 – 15 March 1897) was an English mathematician.

New!!: Polite number and James Joseph Sylvester · See more »

Lambek–Moser theorem

In combinatorial number theory, the Lambek–Moser theorem is a generalization of Beatty's theorem that defines a partition of the positive integers into two subsets from any monotonic integer-valued function.

New!!: Polite number and Lambek–Moser theorem · See more »

Mersenne prime

In mathematics, a Mersenne prime is a prime number that is one less than a power of two.

New!!: Polite number and Mersenne prime · See more »

Natural number

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").

New!!: Polite number and Natural number · See more »

Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

New!!: Polite number and Number theory · See more »

Parity (mathematics)

In mathematics, parity is the property of an integer's inclusion in one of two categories: even or odd.

New!!: Polite number and Parity (mathematics) · See more »

Partition (number theory)

In number theory and combinatorics, a partition of a positive integer n, also called an integer partition, is a way of writing n as a sum of positive integers.

New!!: Polite number and Partition (number theory) · See more »

Perfect number

In number theory, a perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself (also known as its aliquot sum).

New!!: Polite number and Perfect number · See more »

Power of two

In mathematics, a power of two is a number of the form where is an integer, i.e. the result of exponentiation with number two as the base and integer as the exponent.

New!!: Polite number and Power of two · See more »

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.

New!!: Polite number and Prime number · See more »

Stairs

A stairway, staircase, stairwell, flight of stairs, or simply stairs is a construction designed to bridge a large vertical distance by dividing it into smaller vertical distances, called steps.

New!!: Polite number and Stairs · See more »

Trapezoid

In Euclidean geometry, a convex quadrilateral with at least one pair of parallel sides is referred to as a trapezoid in American and Canadian English but as a trapezium in English outside North America.

New!!: Polite number and Trapezoid · See more »

Triangular number

A triangular number or triangle number counts objects arranged in an equilateral triangle, as in the diagram on the right.

New!!: Polite number and Triangular number · See more »

William J. LeVeque

William Judson LeVeque (August 9, 1923 – December 1, 2007) was an American mathematician and administrator who worked primarily in number theory.

New!!: Polite number and William J. LeVeque · See more »

Young tableau

In mathematics, a Young tableau (plural: tableaux) is a combinatorial object useful in representation theory and Schubert calculus.

New!!: Polite number and Young tableau · See more »

Redirects here:

Staircase number, Trapezoidal number.

References

[1] https://en.wikipedia.org/wiki/Polite_number

OutgoingIncoming
Hey! We are on Facebook now! »