Faster access than browser!
69 relations: Adrien-Marie Legendre, ALGOL, APL (programming language), Balthasar van der Pol, Base (exponentiation), BASIC, Beatty sequence, C (programming language), C++, Cambridge University Press, Carl Friedrich Gauss, Code point, Complex number, Computer science, Continuous function, Coprime integers, Euler–Mascheroni constant, Fourier series, Fractional part, Function (mathematics), Galois connection, Gauss's lemma (number theory), Hermite's identity, Idempotence, If and only if, Indicator function, Integer, International Electrotechnical Commission, International Organization for Standardization, Irrational number, J (programming language), Kenneth E. Iverson, Kurt Mahler, LaTeX, Legendre symbol, Legendre's formula, LibreOffice, Mathematics, Microsoft Excel, Mills' constant, Modulo operation, Natural number, Nearest integer function, Office Open XML, OpenDocument, OpenOffice.org, Order theory, Oxford University Press, PHP, Piecewise linear function, ..., Power series, Python (programming language), Quadratic reciprocity, R (programming language), Real number, Residuated mapping, Riemann zeta function, Rounding, Sawtooth wave, Semi-continuity, Sign function, Spreadsheet, Springer Science+Business Media, Srinivasa Ramanujan, Step function, Truncation, Unicode, Waring's problem, Wilson's theorem. Expand index (19 more) »
Adrien-Marie Legendre
Adrien-Marie Legendre (18 September 1752 – 10 January 1833) was a French mathematician.
New!!: Floor and ceiling functions and Adrien-Marie Legendre · See more »
ALGOL
ALGOL (short for "Algorithmic Language") is a family of imperative computer programming languages, originally developed in the mid-1950s, which greatly influenced many other languages and was the standard method for algorithm description used by the ACM in textbooks and academic sources for more than thirty years.
New!!: Floor and ceiling functions and ALGOL · See more »
APL (programming language)
APL (named after the book A Programming Language) is a programming language developed in the 1960s by Kenneth E. Iverson.
New!!: Floor and ceiling functions and APL (programming language) · See more »
Balthasar van der Pol
Balthasar van der Pol (27 January 1889 – 6 October 1959) was a Dutch physicist.
New!!: Floor and ceiling functions and Balthasar van der Pol · See more »
Base (exponentiation)
In exponentiation, the base is the number b in an expression of the form bn.
New!!: Floor and ceiling functions and Base (exponentiation) · See more »
BASIC
BASIC (an acronym for Beginner's All-purpose Symbolic Instruction Code) is a family of general-purpose, high-level programming languages whose design philosophy emphasizes ease of use.
New!!: Floor and ceiling functions and BASIC · See more »
Beatty sequence
In mathematics, a Beatty sequence (or homogeneous Beatty sequence) is the sequence of integers found by taking the floor of the positive multiples of a positive irrational number.
New!!: Floor and ceiling functions and Beatty sequence · See more »
C (programming language)
C (as in the letter ''c'') is a general-purpose, imperative computer programming language, supporting structured programming, lexical variable scope and recursion, while a static type system prevents many unintended operations.
New!!: Floor and ceiling functions and C (programming language) · See more »
C++
C++ ("see plus plus") is a general-purpose programming language.
New!!: Floor and ceiling functions and C++ · See more »
Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
New!!: Floor and ceiling functions and Cambridge University Press · See more »
Carl Friedrich Gauss
Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields, including algebra, analysis, astronomy, differential geometry, electrostatics, geodesy, geophysics, magnetic fields, matrix theory, mechanics, number theory, optics and statistics.
New!!: Floor and ceiling functions and Carl Friedrich Gauss · See more »
Code point
In character encoding terminology, a code point or code position is any of the numerical values that make up the code space.
New!!: Floor and ceiling functions and Code point · See more »
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.
New!!: Floor and ceiling functions and Complex number · See more »
Computer science
Computer science deals with the theoretical foundations of information and computation, together with practical techniques for the implementation and application of these foundations.
New!!: Floor and ceiling functions and Computer science · See more »
Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
New!!: Floor and ceiling functions and Continuous function · See more »
Coprime integers
In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.
New!!: Floor and ceiling functions and Coprime integers · See more »
Euler–Mascheroni constant
The Euler–Mascheroni constant (also called Euler's constant) is a mathematical constant recurring in analysis and number theory, usually denoted by the lowercase Greek letter gamma.
New!!: Floor and ceiling functions and Euler–Mascheroni constant · See more »
Fourier series
In mathematics, a Fourier series is a way to represent a function as the sum of simple sine waves.
New!!: Floor and ceiling functions and Fourier series · See more »
Fractional part
The fractional part or decimal part of a non‐negative real number x is the excess beyond that number's integer part.
New!!: Floor and ceiling functions and Fractional part · See more »
Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
New!!: Floor and ceiling functions and Function (mathematics) · See more »
Galois connection
In mathematics, especially in order theory, a Galois connection is a particular correspondence (typically) between two partially ordered sets (posets).
New!!: Floor and ceiling functions and Galois connection · See more »
Gauss's lemma (number theory)
Gauss's lemma in number theory gives a condition for an integer to be a quadratic residue.
New!!: Floor and ceiling functions and Gauss's lemma (number theory) · See more »
Hermite's identity
In mathematics, Hermite's identity, named after Charles Hermite, gives the value of a summation involving the floor function.
New!!: Floor and ceiling functions and Hermite's identity · See more »
Idempotence
Idempotence is the property of certain operations in mathematics and computer science that they can be applied multiple times without changing the result beyond the initial application.
New!!: Floor and ceiling functions and Idempotence · See more »
If and only if
In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.
New!!: Floor and ceiling functions and If and only if · See more »
Indicator function
In mathematics, an indicator function or a characteristic function is a function defined on a set X that indicates membership of an element in a subset A of X, having the value 1 for all elements of A and the value 0 for all elements of X not in A. It is usually denoted by a symbol 1 or I, sometimes in boldface or blackboard boldface, with a subscript specifying the subset.
New!!: Floor and ceiling functions and Indicator function · See more »
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").
New!!: Floor and ceiling functions and Integer · See more »
International Electrotechnical Commission
The International Electrotechnical Commission (IEC; in French: Commission électrotechnique internationale) is an international standards organization that prepares and publishes International Standards for all electrical, electronic and related technologies – collectively known as "electrotechnology".
New!!: Floor and ceiling functions and International Electrotechnical Commission · See more »
International Organization for Standardization
The International Organization for Standardization (ISO) is an international standard-setting body composed of representatives from various national standards organizations.
New!!: Floor and ceiling functions and International Organization for Standardization · See more »
Irrational number
In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.
New!!: Floor and ceiling functions and Irrational number · See more »
J (programming language)
The J programming language, developed in the early 1990s by Kenneth E. Iverson and Roger Hui, is a synthesis of APL (also by Iverson) and the FP and FL function-level languages created by John Backus.
New!!: Floor and ceiling functions and J (programming language) · See more »
Kenneth E. Iverson
Kenneth Eugene Iverson (17 December 1920 – 19 October 2004) was a Canadian computer scientist noted for the development of the programming language APL.
New!!: Floor and ceiling functions and Kenneth E. Iverson · See more »
Kurt Mahler
Kurt Mahler FRS (26 July 1903, Krefeld, Germany – 25 February 1988, Canberra, Australia) was a mathematician.
New!!: Floor and ceiling functions and Kurt Mahler · See more »
LaTeX
LaTeX (or; a shortening of Lamport TeX) is a document preparation system.
New!!: Floor and ceiling functions and LaTeX · See more »
Legendre symbol
No description.
New!!: Floor and ceiling functions and Legendre symbol · See more »
Legendre's formula
In mathematics, Legendre's formula gives an expression for the exponent of the largest power of a prime p that divides the factorial n!.
New!!: Floor and ceiling functions and Legendre's formula · See more »
LibreOffice
LibreOffice is a free and open source office suite, a project of The Document Foundation.
New!!: Floor and ceiling functions and LibreOffice · See more »
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
New!!: Floor and ceiling functions and Mathematics · See more »
Microsoft Excel
Microsoft Excel is a spreadsheet developed by Microsoft for Windows, macOS, Android and iOS.
New!!: Floor and ceiling functions and Microsoft Excel · See more »
Mills' constant
In number theory, Mills' constant is defined as the smallest positive real number A such that the floor function of the double exponential function is a prime number, for all natural numbers n. This constant is named after William H. Mills who proved in 1947 the existence of A based on results of Guido Hoheisel and Albert Ingham on the prime gaps.
New!!: Floor and ceiling functions and Mills' constant · See more »
Modulo operation
In computing, the modulo operation finds the remainder after division of one number by another (sometimes called modulus).
New!!: Floor and ceiling functions and Modulo operation · See more »
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").
New!!: Floor and ceiling functions and Natural number · See more »
Nearest integer function
In computer science, the nearest integer function of real number x denoted variously by, \lfloor x \rceil, \Vert x \Vert, nint(x), or Round(x), is a function which returns the nearest integer to x. To avoid ambiguity when operating on half-integers, a rounding rule must be chosen.
New!!: Floor and ceiling functions and Nearest integer function · See more »
Office Open XML
Office Open XML (also informally known as OOXML or Microsoft Open XML (MOX)) is a zipped, XML-based file format developed by Microsoft for representing spreadsheets, charts, presentations and word processing documents.
New!!: Floor and ceiling functions and Office Open XML · See more »
OpenDocument
The Open Document Format for Office Applications (ODF), also known as OpenDocument, is a ZIP-compressed XML-based file format for spreadsheets, charts, presentations and word processing documents.
New!!: Floor and ceiling functions and OpenDocument · See more »
OpenOffice.org
OpenOffice.org (OOo), commonly known as OpenOffice, is a discontinued open-source office suite.
New!!: Floor and ceiling functions and OpenOffice.org · See more »
Order theory
Order theory is a branch of mathematics which investigates the intuitive notion of order using binary relations.
New!!: Floor and ceiling functions and Order theory · See more »
Oxford University Press
Oxford University Press (OUP) is the largest university press in the world, and the second oldest after Cambridge University Press.
New!!: Floor and ceiling functions and Oxford University Press · See more »
PHP
PHP: Hypertext Preprocessor (or simply PHP) is a server-side scripting language designed for Web development, but also used as a general-purpose programming language.
New!!: Floor and ceiling functions and PHP · See more »
Piecewise linear function
In mathematics, a piecewise linear function is a real-valued function defined on the real numbers or a segment thereof, whose graph is composed of straight-line sections.
New!!: Floor and ceiling functions and Piecewise linear function · See more »
Power series
In mathematics, a power series (in one variable) is an infinite series of the form where an represents the coefficient of the nth term and c is a constant.
New!!: Floor and ceiling functions and Power series · See more »
Python (programming language)
Python is an interpreted high-level programming language for general-purpose programming.
New!!: Floor and ceiling functions and Python (programming language) · See more »
Quadratic reciprocity
In number theory, the law of quadratic reciprocity is a theorem about modular arithmetic that gives conditions for the solvability of quadratic equations modulo prime numbers.
New!!: Floor and ceiling functions and Quadratic reciprocity · See more »
R (programming language)
R is a programming language and free software environment for statistical computing and graphics that is supported by the R Foundation for Statistical Computing.
New!!: Floor and ceiling functions and R (programming language) · See more »
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
New!!: Floor and ceiling functions and Real number · See more »
Residuated mapping
In mathematics, the concept of a residuated mapping arises in the theory of partially ordered sets.
New!!: Floor and ceiling functions and Residuated mapping · See more »
Riemann zeta function
The Riemann zeta function or Euler–Riemann zeta function,, is a function of a complex variable s that analytically continues the sum of the Dirichlet series which converges when the real part of is greater than 1.
New!!: Floor and ceiling functions and Riemann zeta function · See more »
Rounding
Rounding a numerical value means replacing it by another value that is approximately equal but has a shorter, simpler, or more explicit representation; for example, replacing $ with $, or the fraction 312/937 with 1/3, or the expression with.
New!!: Floor and ceiling functions and Rounding · See more »
Sawtooth wave
The sawtooth wave (or saw wave) is a kind of non-sinusoidal waveform.
New!!: Floor and ceiling functions and Sawtooth wave · See more »
Semi-continuity
In mathematical analysis, semi-continuity (or semicontinuity) is a property of extended real-valued functions that is weaker than continuity.
New!!: Floor and ceiling functions and Semi-continuity · See more »
Sign function
In mathematics, the sign function or signum function (from signum, Latin for "sign") is an odd mathematical function that extracts the sign of a real number.
New!!: Floor and ceiling functions and Sign function · See more »
Spreadsheet
A spreadsheet is an interactive computer application for organization, analysis and storage of data in tabular form.
New!!: Floor and ceiling functions and Spreadsheet · See more »
Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
New!!: Floor and ceiling functions and Springer Science+Business Media · See more »
Srinivasa Ramanujan
Srinivasa Ramanujan (22 December 188726 April 1920) was an Indian mathematician who lived during the British Rule in India. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems considered to be unsolvable.
New!!: Floor and ceiling functions and Srinivasa Ramanujan · See more »
Step function
In mathematics, a function on the real numbers is called a step function (or staircase function) if it can be written as a finite linear combination of indicator functions of intervals.
New!!: Floor and ceiling functions and Step function · See more »
Truncation
In mathematics and computer science, truncation is limiting the number of digits right of the decimal point.
New!!: Floor and ceiling functions and Truncation · See more »
Unicode
Unicode is a computing industry standard for the consistent encoding, representation, and handling of text expressed in most of the world's writing systems.
New!!: Floor and ceiling functions and Unicode · See more »
Waring's problem
In number theory, Waring's problem asks whether each natural number k has an associated positive integer s such that every natural number is the sum of at most s natural numbers to the power of k. For example, every natural number is the sum of at most 4 squares, 9 cubes, or 19 fourth powers.
New!!: Floor and ceiling functions and Waring's problem · See more »
Wilson's theorem
In number theory, Wilson's theorem states that a natural number n > 1 is a prime number if and only if the product of all the positive integers less than n is one less than a multiple of n. That is (using the notations of modular arithmetic), one has that the factorial (n - 1)!.
New!!: Floor and ceiling functions and Wilson's theorem · See more »
Redirects here:
Ceil, Ceil (math), Ceil (programming), Ceil function, Ceiling function, Entier, Entier function, Floor & ceiling functions, Floor (mathematics), Floor (programming), Floor and ceiling, Floor ceiling, Floor function, Floor(), Fractional part function, Fractional part of a number, Fractional parts, Greatest integer, Greatest integer function, Greatest-integer function, Integer part, Integral part, Integral value, Roof function, ⌈, ⌈x⌉, ⌉, ⌊, ⌊x⌋, ⌋.
References
[1] https://en.wikipedia.org/wiki/Floor_and_ceiling_functions
