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- Polite_number abstract "In number theory, a polite number is a positive integer that can be written as the sum of two or more consecutive positive integers. Other positive integers are impolite.Polite numbers have also been called staircase numbers because the Young diagrams representing graphically the partitions of a polite number into consecutive integers (in the French style of drawing these diagrams) resemble staircases. If all numbers in the sum are strictly greater than one, the numbers so formed are also called trapezoidal numbers because they represent patterns of points arranged in a trapezoid.The problem of representing numbers as sums of consecutive integers and of counting the number of representations of this type has been studied by Sylvester, Mason, Leveque, and many other more recent authors.".
- Polite_number thumbnail Young_456_French.svg?width=300.
- Polite_number wikiPageExternalLink viewer.php?obj_id=2074.
- Polite_number wikiPageExternalLink 20031002.php.
- Polite_number wikiPageExternalLink index.html.
- Polite_number wikiPageID "4047259".
- Polite_number wikiPageRevisionID "601180635".
- Polite_number hasPhotoCollection Polite_number.
- Polite_number id "10725".
- Polite_number title "Polite number".
- Polite_number subject Category:Additive_number_theory.
- Polite_number subject Category:Figurate_numbers.
- Polite_number subject Category:Integer_sequences.
- Polite_number subject Category:Quadrilaterals.
- Polite_number subject Category:Recreational_mathematics.
- Polite_number type Abstraction100002137.
- Polite_number type Amount105107765.
- Polite_number type Arrangement107938773.
- Polite_number type Attribute100024264.
- Polite_number type FigurateNumbers.
- Polite_number type Figure113862780.
- Polite_number type Group100031264.
- Polite_number type IntegerSequences.
- Polite_number type Magnitude105090441.
- Polite_number type Number105121418.
- Polite_number type Ordering108456993.
- Polite_number type PlaneFigure113863186.
- Polite_number type Polygon113866144.
- Polite_number type Property104916342.
- Polite_number type Quadrilateral113879126.
- Polite_number type Quadrilaterals.
- Polite_number type Sequence108459252.
- Polite_number type Series108457976.
- Polite_number type Shape100027807.
- Polite_number comment "In number theory, a polite number is a positive integer that can be written as the sum of two or more consecutive positive integers. Other positive integers are impolite.Polite numbers have also been called staircase numbers because the Young diagrams representing graphically the partitions of a polite number into consecutive integers (in the French style of drawing these diagrams) resemble staircases.".
- Polite_number label "Polite number".
- Polite_number sameAs m.0bfb8d.
- Polite_number sameAs Q7210138.
- Polite_number sameAs Q7210138.
- Polite_number sameAs Polite_number.
- Polite_number wasDerivedFrom Polite_number?oldid=601180635.
- Polite_number depiction Young_456_French.svg.
- Polite_number isPrimaryTopicOf Polite_number.