In mathematics, an iterated binary operation is an extension of a binary operation on a set S to a function on finite sequences of elements of S through...

a binary operation or dyadic operation is a rule for combining two elements (called operands) to produce another element. More formally, a binary operation...

Array: ,$array Unary function Binary operation Iterated binary operation Binary function Ternary operation Arity Operation (mathematics) Operator (programming)...

formulae, the form is =if(C, x, y). Unary operation Unary function Binary operation Iterated binary operation Binary function Median algebra or Majority function...

A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method for representing numbers that uses only two symbols...

computer science, lg* is often used to indicate the binary iterated logarithm, which iterates the binary logarithm (with base 2 {\displaystyle 2} ) instead...

transformation above. Arity Unary operation Unary function Binary operation Iterated binary operation Ternary operation Clarke, Bertrand; Fokoue, Ernest;...

which is equal to the number of 1s in the binary representation of n. This logarithmic number of operations is to be compared with the trivial algorithm...

a n {\displaystyle a_{1},\ldots ,a_{n}} can be denoted as an iterated binary operation using a "big wedge" ⋀ (Unicode U+22C0 ⋀ N-ARY LOGICAL AND): ⋀...

hyperbolic functions. Arity Binary function Binary operation Iterated binary operation Ternary operation Unary operation Foundations of Genetic Programming...

Infinite product Iterated binary operation – Repeated application of an operation to a sequence Multiplication – Arithmetical operation Here, "formal" means...

a n {\displaystyle a_{1},\ldots ,a_{n}} can be denoted as an iterated binary operation using a larger ⋁ (Unicode U+22C1 ⋁ N-ARY LOGICAL OR): ⋁ i = 1...

1, c, d Capital-pi notation Einstein notation Iverson bracket Iterated binary operation Kahan summation algorithm Product (mathematics) Summation by parts...

evaluates to 4 (* 2)  ; evaluates to 2 (*)  ; evaluates to 1 Iterated binary operation Empty function Jaroslav Nešetřil, Jiří Matoušek (1998). Invitation...

certain level of iterator (and therefore will work on any container that provides an interface by iterators). Searching algorithms like binary_search and lower_bound...

where it has a simple pole. Infinite products in trigonometry Iterated binary operation Infinite expression Infinite series Pentagonal number theorem...

complexity of operations on the binary search tree is linear with respect to the height of the tree. Binary search trees allow binary search for fast...

A binary heap is a heap data structure that takes the form of a binary tree. Binary heaps are a common way of implementing priority queues.: 162–163 ...

space V={0} to have a basis, namely the empty set. Empty product Iterated binary operation Empty function Harper, Robert (2016). Practical Foundations for...

In computer science, binary search, also known as half-interval search, logarithmic search, or binary chop, is a search algorithm that finds the position...

Set of elements common to all of some sets Iterated binary operation – Repeated application of an operation to a sequence List of set identities and relations –...

compositions of analytic functions Infinite expression Infinite product Iterated binary operation List of mathematical series Prefix sum Sequence transformation...

In mathematics, particularly abstract algebra, a binary operation • on a set is flexible if it satisfies the flexible identity: a ∙ ( b ∙ a ) = ( a ∙ b...

In computer science, a red–black tree is a self-balancing binary search tree data structure noted for fast storage and retrieval of ordered information...

proving that iterations can be reduced to folds: y f = foldr (\_ -> f) undefined (repeat undefined) Aggregate function Iterated binary operation Catamorphism...

In computer science, a binary tree is a tree data structure in which each node has at most two children, referred to as the left child and the right child...

series with an infinite continued fraction. Iterated binary operation – Repeated application of an operation to a sequence Klein polyhedron – Concept in...

going to the next sibling. To traverse binary trees with depth-first search, perform the following operations at each node: If the current node is empty...

the binary logarithm of 1 is 0, the binary logarithm of 2 is 1, the binary logarithm of 4 is 2, and the binary logarithm of 32 is 5. The binary logarithm...

of 2019[update], augmented arithmetic operations for the binary formats are also recommended. These operations, specified for addition, subtraction and...