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Zero to the power of zero

Index Zero to the power of zero

Zero to the power of zero, denoted by 00, is a mathematical expression with no obvious value. [1]

60 relations: Algebra, American Mathematical Monthly, Analytic function, August Ferdinand Möbius, Augustin-Louis Cauchy, Binomial theorem, Birkhäuser, C99, Cauchy product, Combinatorics, Complex number, Computer program, Concrete Mathematics, Continuous function, Crelle's Journal, Differential calculus, Donald Knuth, Empty product, Expression (mathematics), Floating-point arithmetic, Function (mathematics), GAP (computer algebra system), GNU Octave, Identity element, IEEE 754 revision, Indeterminate form, Java (programming language), Limit (mathematics), Macsyma, Magma (computer algebra system), Maple (software), Mathematical analysis, Mathematical Association of America, Mathematics Magazine, MATLAB, Method (computer programming), NaN, Natural number, Nicolas Bourbaki, Normative, One-sided limit, Oren Patashnik, PARI/GP, Polynomial, Polynomial ring, Power rule, Power series, Python (programming language), Ring (mathematics), Ring homomorphism, ..., Ronald Graham, SageMath, Set theory, Singular (software), The College Mathematics Journal, Tuple, Undefined (mathematics), Value (mathematics), Wolfram Mathematica, .NET Framework. Expand index (10 more) »

Algebra

Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.

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American Mathematical Monthly

The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.

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Analytic function

In mathematics, an analytic function is a function that is locally given by a convergent power series.

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August Ferdinand Möbius

August Ferdinand Möbius (17 November 1790 – 26 September 1868) was a German mathematician and theoretical astronomer.

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Augustin-Louis Cauchy

Baron Augustin-Louis Cauchy FRS FRSE (21 August 178923 May 1857) was a French mathematician, engineer and physicist who made pioneering contributions to several branches of mathematics, including: mathematical analysis and continuum mechanics.

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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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Birkhäuser

Birkhäuser is a former Swiss publisher founded in 1879 by Emil Birkhäuser.

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C99

C99 (previously known as C9X) is an informal name for ISO/IEC 9899:1999, a past version of the C programming language standard.

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Cauchy product

In mathematics, more specifically in mathematical analysis, the Cauchy product is the discrete convolution of two infinite series.

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Combinatorics

Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.

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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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Computer program

A computer program is a collection of instructions for performing a specific task that is designed to solve a specific class of problems.

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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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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.

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Crelle's Journal

Crelle's Journal, or just Crelle, is the common name for a mathematics journal, the Journal für die reine und angewandte Mathematik (in English: Journal for Pure and Applied Mathematics).

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Differential calculus

In mathematics, differential calculus is a subfield of calculus concerned with the study of the rates at which quantities change.

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Donald Knuth

Donald Ervin Knuth (born January 10, 1938) is an American computer scientist, mathematician, and professor emeritus at Stanford University.

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Empty product

In mathematics, an empty product, or nullary product, is the result of multiplying no factors.

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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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Floating-point arithmetic

In computing, floating-point arithmetic is arithmetic using formulaic representation of real numbers as an approximation so as to support a trade-off between range and precision.

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Function (mathematics)

In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

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GAP (computer algebra system)

GAP (Groups, Algorithms and Programming) is a computer algebra system for computational discrete algebra with particular emphasis on computational group theory.

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GNU Octave

GNU Octave is software featuring a high-level programming language, primarily intended for numerical computations.

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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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IEEE 754 revision

IEEE 754-2008 (previously known as IEEE 754r) was published in August 2008 and is a significant revision to, and replaces, the IEEE 754-1985 floating point standard.

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Indeterminate form

In calculus and other branches of mathematical analysis, limits involving an algebraic combination of functions in an independent variable may often be evaluated by replacing these functions by their limits; if the expression obtained after this substitution does not give enough information to determine the original limit, it is said to take on an indeterminate form.

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Java (programming language)

Java is a general-purpose computer-programming language that is concurrent, class-based, object-oriented, and specifically designed to have as few implementation dependencies as possible.

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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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Macsyma

Macsyma (Project MAC’s SYmbolic MAnipulator) is one of the oldest general purpose computer algebra systems which is still widely used.

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Magma (computer algebra system)

Magma is a computer algebra system designed to solve problems in algebra, number theory, geometry and combinatorics.

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Maple (software)

Maple is a symbolic and numeric computing environment, and is also a multi-paradigm programming language.

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Mathematical analysis

Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

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Mathematical Association of America

The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level.

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Mathematics Magazine

Mathematics Magazine is a refereed bimonthly publication of the Mathematical Association of America.

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MATLAB

MATLAB (matrix laboratory) is a multi-paradigm numerical computing environment and proprietary programming language developed by MathWorks.

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Method (computer programming)

A method in object-oriented programming (OOP) is a procedure associated with a message and an object.

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NaN

In computing, NaN, standing for not a number, is a numeric data type value representing an undefined or unrepresentable value, especially in floating-point calculations.

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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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Nicolas Bourbaki

Nicolas Bourbaki is the collective pseudonym under which a group of (mainly French) 20th-century mathematicians, with the aim of reformulating mathematics on an extremely abstract and formal but self-contained basis, wrote a series of books beginning in 1935.

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Normative

Normative generally means relating to an evaluative standard.

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One-sided limit

In calculus, a one-sided limit is either of the two limits of a function f(x) of a real variable x as x approaches a specified point either from below or from above.

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Oren Patashnik

Oren Patashnik (born 1954) is a computer scientist.

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PARI/GP

PARI/GP is a computer algebra system with the main aim of facilitating number theory computations.

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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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Polynomial ring

In mathematics, especially in the field of abstract algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra) formed from the set of polynomials in one or more indeterminates (traditionally also called variables) with coefficients in another ring, often a field.

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Power rule

In calculus, the power rule is used to differentiate functions of the form f(x).

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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.

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Python (programming language)

Python is an interpreted high-level programming language for general-purpose programming.

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Ring (mathematics)

In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.

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Ring homomorphism

In ring theory or abstract algebra, a ring homomorphism is a function between two rings which respects the structure.

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Ronald Graham

Ronald Lewis "Ron" Graham (born October 31, 1935) is an American mathematician credited by the American Mathematical Society as being "one of the principal architects of the rapid development worldwide of discrete mathematics in recent years".

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SageMath

SageMath (previously Sage or SAGE, "System for Algebra and Geometry Experimentation") is a computer algebra system with features covering many aspects of mathematics, including algebra, combinatorics, graph theory, numerical analysis, number theory, calculus and statistics.

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Set theory

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

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Singular (software)

Singular (typeset Singular) is a computer algebra system for polynomial computations with special emphasis on the needs of commutative and non-commutative algebra, algebraic geometry, and singularity theory.

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The College Mathematics Journal

The College Mathematics Journal, published by the Mathematical Association of America, is an expository journal aimed at teachers of college mathematics, particular those teaching the first two years.

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Tuple

In mathematics, a tuple is a finite ordered list (sequence) of elements.

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Undefined (mathematics)

In mathematics, undefined has several different meanings, depending on the context.

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Value (mathematics)

In mathematics, value may refer to several, strongly related notions.

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Wolfram Mathematica

Wolfram Mathematica (usually termed Mathematica) is a modern technical computing system spanning most areas of technical computing — including neural networks, machine learning, image processing, geometry, data science, visualizations, and others.

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.NET Framework

.NET Framework (pronounced dot net) is a software framework developed by Microsoft that runs primarily on Microsoft Windows.

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Redirects here:

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References

[1] https://en.wikipedia.org/wiki/Zero_to_the_power_of_zero

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