44 relations: American Mathematical Monthly, Bijective proof, Binary tree, Binomial coefficient, Catalan number, Combinatorial class, Complete graph, Dimension, Empty product, Enumerative combinatorics, Euler tour technique, Factorial, Falling and rising factorials, Gamma function, Generating function, Heap (data structure), Hypercube, Hyperoctahedral group, Hypersphere, Involution (mathematics), Journal of Algebraic Combinatorics, Journal of Computational Biology, List of integrals of trigonometric functions, Matching (graph theory), Mathematics, Mathematics Magazine, Mixed radix, Multiset, N-sphere, Numeral system, Parity (mathematics), Permutation, Recurrence relation, Richard Brauer, Stirling numbers of the first kind, Stirling permutation, Student's t-distribution, Telephone number (mathematics), Undergraduate Texts in Mathematics, Unrooted binary tree, Volume of an n-ball, Wallis product, William Sealy Gosset, Zeros and poles.
The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.
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|.
In computer science, a binary tree is a tree data structure in which each node has at most two children, which are referred to as the and the.
In mathematics, any of the positive integers that occurs as a coefficient in the binomial theorem is a binomial coefficient.
In combinatorial mathematics, the Catalan numbers form a sequence of natural numbers that occur in various counting problems, often involving recursively-defined objects.
In mathematics, a combinatorial class is a countable set of mathematical objects, together with a size function mapping each object to a non-negative integer, such that there are finitely many objects of each size.
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
In mathematics, an empty product, or nullary product, is the result of multiplying no factors.
Enumerative combinatorics is an area of combinatorics that deals with the number of ways that certain patterns can be formed.
The Euler tour technique (ETT), named after Leonhard Euler, is a method in graph theory for representing trees.
In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example, The value of 0! is 1, according to the convention for an empty product.
In mathematics, the falling factorial (sometimes called the descending factorial, falling sequential product, or lower factorial) is defined as The rising factorial (sometimes called the Pochhammer function, Pochhammer polynomial, ascending factorial, (A reprint of the 1950 edition by Chelsea Publishing Co.) rising sequential product, or upper factorial) is defined as The value of each is taken to be 1 (an empty product) when n.
In mathematics, the gamma function (represented by, the capital Greek alphabet letter gamma) is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers.
In mathematics, a generating function is a way of encoding an infinite sequence of numbers (an) by treating them as the coefficients of a power series.
In computer science, a heap is a specialized tree-based data structure that satisfies the heap property: if P is a parent node of C, then the key (the value) of P is either greater than or equal to (in a max heap) or less than or equal to (in a min heap) the key of C. The node at the "top" of the heap (with no parents) is called the root node.
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
In mathematics, a hyperoctahedral group is an important type of group that can be realized as the group of symmetries of a hypercube or of a cross-polytope.
In geometry of higher dimensions, a hypersphere is the set of points at a constant distance from a given point called its center.
In mathematics, an involution, or an involutory function, is a function that is its own inverse, for all in the domain of.
Journal of Algebraic Combinatorics is a peer-reviewed scientific journal covering algebraic combinatorics.
The Journal of Computational Biology is a monthly peer-reviewed scientific journal covering computational biology and bioinformatics.
The following is a list of integrals (antiderivative functions) of trigonometric functions.
In the mathematical discipline of graph theory, a matching or independent edge set in a graph is a set of edges without common vertices.
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Mathematics Magazine is a refereed bimonthly publication of the Mathematical Association of America.
Mixed radix numeral systems are non-standard positional numeral systems in which the numerical base varies from position to position.
In mathematics, a multiset (aka bag or mset) is a modification of the concept of a set that, unlike a set, allows for multiple instances for each of its elements.
In mathematics, the n-sphere is the generalization of the ordinary sphere to spaces of arbitrary dimension.
A numeral system (or system of numeration) is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner.
In mathematics, parity is the property of an integer's inclusion in one of two categories: even or odd.
In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.
In mathematics, a recurrence relation is an equation that recursively defines a sequence or multidimensional array of values, once one or more initial terms are given: each further term of the sequence or array is defined as a function of the preceding terms.
Richard Dagobert Brauer (February 10, 1901 – April 17, 1977) was a leading German and American mathematician.
In mathematics, especially in combinatorics, Stirling numbers of the first kind arise in the study of permutations.
In combinatorial mathematics, a Stirling permutation of order k is a permutation of the multiset 1, 1, 2, 2,..., k, k (with two copies of each value from 1 to k) with the additional property that, for each value i appearing in the permutation, the values between the two copies of i are larger than i. For instance, the 15 Stirling permutations of order three are The number of Stirling permutations of order k is given by the double factorial (2k − 1)!!.
In probability and statistics, Student's t-distribution (or simply the t-distribution) is any member of a family of continuous probability distributions that arises when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown.
In mathematics, the telephone numbers or the involution numbers are a sequence of integers that count the ways telephone lines can be connected to each other, where each line can be connected to at most one other line.
Undergraduate Texts in Mathematics (UTM) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag.
In mathematics and computer science, an unrooted binary tree is an unrooted tree in which each vertex has either one or three neighbors.
In geometry, a ball is a region in space comprising all points within a fixed distance from a given point; that is, it is the region enclosed by a sphere or hypersphere.
In mathematics, Wallis' product for pi, written down in 1655 by John Wallis, states that \prod_^ \left(\frac \cdot \frac\right).
William Sealy Gosset (13 June 1876 – 16 October 1937) was an English statistician.
In mathematics, a zero of a function is a value such that.