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The number of integer triangles (up to congruence) with given largest side c and integer triple (,,) is the number of integer triples such that + > and . This is the integer value ⌈ (+) ⌉ ⌊ (+) ⌋. [3] Alternatively, for c even it is the double triangular number (+) and for c odd it is the square (+).
Floyd's triangle is a triangular array of natural numbers used in computer science education. It is named after Robert Floyd . It is defined by filling the rows of the triangle with consecutive numbers, starting with a 1 in the top left corner:
The Bell triangle, whose numbers count the partitions of a set in which a given element is the largest singleton [1] Catalan's triangle, which counts strings of matched parentheses [2] Euler's triangle, which counts permutations with a given number of ascents [3] Floyd's triangle, whose entries are all of the integers in order [4]
With a the shorter and b the longer legs of a triangle and c its hypotenuse, the Pythagoras family of triplets is defined by c − b = 1, the Plato family by c − b = 2, and the Fermat family by | a − b | = 1. The Stifel sequence produces all primitive triplets of the Pythagoras family, and the Ozanam sequence produces all primitive triples ...
Similar to a Pythagorean triple, an Eisenstein triple (named after Gotthold Eisenstein) is a set of integers which are the lengths of the sides of a triangle where one of the angles is 60 or 120 degrees. The relation of such triangles to the Eisenstein integers is analogous to the relation of Pythagorean triples to the Gaussian integers.
Microsoft first used the name C# in 1988 for a variant of the C language designed for incremental compilation. [37] That project was not completed, and the name was later reused. C-sharp musical note. The name "C sharp" was inspired by the musical notation whereby a sharp symbol indicates that the written note should be made a semitone higher ...
In computer graphics, marching squares is an algorithm that generates contours for a two-dimensional scalar field (rectangular array of individual numerical values). A similar method can be used to contour 2D triangle meshes.
An identifier is the name of an element in the code.It can contain letters, digits and underscores (_), and is case sensitive (FOO is different from foo).The language imposes the following restrictions on identifier names: