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69 relations: Absolute convergence, Addition, Additive group, Approximation, Arithmetic progression, Arithmetico–geometric sequence, Associative property, Bernoulli number, Big O notation, Bijection, Binomial theorem, Brady Haran, Commutative property, Complex number, Concrete Mathematics, Counting measure, Einstein notation, Ellipsis, Empty sum, Euler–Maclaurin formula, Expression (mathematics), Faulhaber's formula, Finite difference, Floor and ceiling functions, Free variables and bound variables, Geometric series, Harmonic number, Identity element, Image (mathematics), Indefinite sum, Integer, Integral, Iterated binary operation, Iverson bracket, Kahan summation algorithm, Kirchhoff's circuit laws, Limit (mathematics), List of mathematical series, Mathematical induction, Mathematics, Matrix (mathematics), Measure (mathematics), Monoid, Monotonic function, Natural number, Nicholas Higham, Permutation, Pi (letter), Polynomial, Prefix sum, ..., Product (mathematics), Rational number, Real number, Riemann integral, Riemann sum, Running total, Sequence, Series (mathematics), Sigma, Sign (mathematics), Square pyramidal number, Squared triangular number, Transcendental function, Triangular number, Trigonometric functions, Typographical conventions in mathematical formulae, University of Nottingham, Vector space, 0. Expand index (19 more) »
Absolute convergence
In mathematics, an infinite series of numbers is said to converge absolutely (or to be absolutely convergent) if the sum of the absolute values of the summands is finite.
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Addition
Addition (often signified by the plus symbol "+") is one of the four basic operations of arithmetic; the others are subtraction, multiplication and division.
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Additive group
An additive group is a group of which the group operation is to be thought of as addition in some sense.
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Approximation
An approximation is anything that is similar but not exactly equal to something else.
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Arithmetic progression
In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
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Arithmetico–geometric sequence
In mathematics, an arithmetico–geometric sequence is the result of the term-by-term multiplication of a geometric progression with the corresponding terms of an arithmetic progression.
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Associative property
In mathematics, the associative property is a property of some binary operations.
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Bernoulli number
In mathematics, the Bernoulli numbers are a sequence of rational numbers which occur frequently in number theory.
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Big O notation
Big O notation is a mathematical notation that describes the limiting behaviour of a function when the argument tends towards a particular value or infinity.
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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.
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Binomial theorem
In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.
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Brady Haran
Brady John Haran (born 18 June 1976) is an Australian-born British independent filmmaker and video journalist who is known for his educational videos and documentary films produced for BBC News and his YouTube channels, the most notable being Periodic Videos and Numberphile.
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Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
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Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
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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.
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Counting measure
In mathematics, the counting measure is an intuitive way to put a measure on any set: the "size" of a subset is taken to be: the number of elements in the subset if the subset has finitely many elements, and ∞ if the subset is infinite.
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Einstein notation
In mathematics, especially in applications of linear algebra to physics, the Einstein notation or Einstein summation convention is a notational convention that implies summation over a set of indexed terms in a formula, thus achieving notational brevity.
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Ellipsis
An ellipsis (plural ellipses; from the ἔλλειψις, élleipsis, 'omission' or 'falling short') is a series of dots (typically three, such as "…") that usually indicates an intentional omission of a word, sentence, or whole section from a text without altering its original meaning.
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Empty sum
In mathematics, an empty sum, or nullary sum, is a summation where the number of terms is zero.
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Euler–Maclaurin formula
In mathematics, the Euler–Maclaurin formula provides a powerful connection between integrals (see calculus) and sums.
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Expression (mathematics)
In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
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Faulhaber's formula
In mathematics, Faulhaber's formula, named after Johann Faulhaber, expresses the sum of the p-th powers of the first n positive integers as a (p + 1)th-degree polynomial function of n, the coefficients involving Bernoulli numbers Bj, in the form submitted by Jacob Bernoulli and published in 1713: where p^\underline.
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Finite difference
A finite difference is a mathematical expression of the form.
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Floor and ceiling functions
In mathematics and computer science, the floor function is the function that takes as input a real number x and gives as output the greatest integer less than or equal to x, denoted \operatorname(x).
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Free variables and bound variables
In mathematics, and in other disciplines involving formal languages, including mathematical logic and computer science, a free variable is a notation that specifies places in an expression where substitution may take place.
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Geometric series
In mathematics, a geometric series is a series with a constant ratio between successive terms.
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Harmonic number
In mathematics, the -th harmonic number is the sum of the reciprocals of the first natural numbers: Harmonic numbers are related to the harmonic mean in that the -th harmonic number is also times the reciprocal of the harmonic mean of the first positive integers.
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Identity element
In mathematics, an identity element or neutral element is a special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them.
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Image (mathematics)
In mathematics, an image is the subset of a function's codomain which is the output of the function from a subset of its domain.
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Indefinite sum
In mathematics the indefinite sum operator (also known as the antidifference operator), denoted by \sum _x or \Delta^, is the linear operator, inverse of the forward difference operator \Delta.
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Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
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Integral
In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.
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Iterated binary operation
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 repeated application.
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Iverson bracket
In mathematics, the Iverson bracket, named after Kenneth E. Iverson, is a notation that generalises the Kronecker delta.
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Kahan summation algorithm
In numerical analysis, the Kahan summation algorithm (also known as compensated summation) significantly reduces the numerical error in the total obtained by adding a sequence of finite precision floating point numbers, compared to the obvious approach.
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Kirchhoff's circuit laws
Kirchhoff's circuit laws are two equalities that deal with the current and potential difference (commonly known as voltage) in the lumped element model of electrical circuits.
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Limit (mathematics)
In mathematics, a limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value.
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List of mathematical series
This list of mathematical series contains formulae for finite and infinite sums.
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Mathematical induction
Mathematical induction is a mathematical proof technique.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Matrix (mathematics)
In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
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Measure (mathematics)
In mathematical analysis, a measure on a set is a systematic way to assign a number to each suitable subset of that set, intuitively interpreted as its size.
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Monoid
In abstract algebra, a branch of mathematics, a monoid is an algebraic structure with a single associative binary operation and an identity element.
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Monotonic function
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order.
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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").
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Nicholas Higham
Nicholas John Higham FRS (born 25 December 1961 in Salford) is a British numerical analyst and Richardson Professor of Applied Mathematics at the School of Mathematics at the University of Manchester.
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Permutation
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.
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Pi (letter)
Pi (uppercase Π, lowercase π; πι) is the sixteenth letter of the Greek alphabet, representing the sound.
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Polynomial
In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
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Prefix sum
In computer science, the prefix sum, cumulative sum, inclusive scan, or simply scan of a sequence of numbers is a second sequence of numbers, the sums of prefixes (running totals) of the input sequence: For instance, the prefix sums of the natural numbers are the triangular numbers: |- !input numbers | 1 || 2 || 3 || 4 || 5 || 6 ||...
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Product (mathematics)
In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied.
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Rational number
In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.
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Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
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Riemann integral
In the branch of mathematics known as real analysis, the Riemann integral, created by Bernhard Riemann, was the first rigorous definition of the integral of a function on an interval.
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Riemann sum
In mathematics, a Riemann sum is a certain kind of approximation of an integral by a finite sum.
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Running total
A running total is the summation of a sequence of numbers which is updated each time a new number is added to the sequence, by adding the value of the new number to the previous running total.
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Sequence
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed.
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Series (mathematics)
In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity.
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Sigma
Sigma (upper-case Σ, lower-case σ, lower-case in word-final position ς; σίγμα) is the eighteenth letter of the Greek alphabet.
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Sign (mathematics)
In mathematics, the concept of sign originates from the property of every non-zero real number of being positive or negative.
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Square pyramidal number
In mathematics, a pyramid number, or square pyramidal number, is a figurate number that represents the number of stacked spheres in a pyramid with a square base.
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Squared triangular number
In number theory, the sum of the first cubes is the square of the th triangular number.
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Transcendental function
A transcendental function is an analytic function that does not satisfy a polynomial equation, in contrast to an algebraic function.
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Triangular number
A triangular number or triangle number counts objects arranged in an equilateral triangle, as in the diagram on the right.
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Trigonometric functions
In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are functions of an angle.
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Typographical conventions in mathematical formulae
Typographical conventions in mathematical formulae provide uniformity across mathematical texts and help the readers of those texts to grasp new concepts quickly.
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University of Nottingham
The University of Nottingham is a public research university in Nottingham, United Kingdom.
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Vector space
A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.
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0
0 (zero) is both a number and the numerical digit used to represent that number in numerals.
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References
[1] https://en.wikipedia.org/wiki/Summation
