54 relations: Approximate computing, Approximation error, Approximation theory, Asymptotic analysis, ≅, Binomial approximation, Congruence relation, Correspondence principle, Diophantine approximation, Earth, Equals sign, Estimation, Experiment, Fermi problem, Fitness approximation, Function (mathematics), Functional analysis, Gravity, History of science, Information, Irrational number, Isomorphism, Iteration, Japanese language, Korean language, Latin, Least squares, Limit (mathematics), Linear approximation, Logarithm, Measurement, Newton's method, Number, Numerical analysis, Order of approximation, Perturbation theory, Philosophy of science, Physical law, Physicist, Pi, Proportionality (mathematics), Rational number, Real number, Rough set, Round-off error, Runge–Kutta methods, Shape, Significant figures, Small-angle approximation, Sphere, ..., Successive approximation ADC, Taylor series, Tolerance relation, Unicode. Expand index (4 more) »
Approximate computing
Approximate computing is a computation technique which returns a possibly inaccurate result rather than a guaranteed accurate result, and can be used for applications where an approximate result is sufficient for its purpose.
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Approximation error
The approximation error in some data is the discrepancy between an exact value and some approximation to it.
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Approximation theory
In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby.
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Asymptotic analysis
In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior.
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≅
The symbol ≅ is officially defined as.
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Binomial approximation
The binomial approximation is useful for approximately calculating powers of sums of a small number and 1.
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Congruence relation
In abstract algebra, a congruence relation (or simply congruence) is an equivalence relation on an algebraic structure (such as a group, ring, or vector space) that is compatible with the structure.
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Correspondence principle
In physics, the correspondence principle states that the behavior of systems described by the theory of quantum mechanics (or by the old quantum theory) reproduces classical physics in the limit of large quantum numbers.
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Diophantine approximation
In number theory, the field of Diophantine approximation deals with the approximation of real numbers by rational numbers.
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Earth
Earth is the third planet from the Sun and the only astronomical object known to harbor life.
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Equals sign
The equals sign or equality sign is a mathematical symbol used to indicate equality.
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Estimation
Estimation (or estimating) is the process of finding an estimate, or approximation, which is a value that is usable for some purpose even if input data may be incomplete, uncertain, or unstable.
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Experiment
An experiment is a procedure carried out to support, refute, or validate a hypothesis.
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Fermi problem
In physics or engineering education, a Fermi problem, Fermi quiz, Fermi question, Fermi estimate, or order estimation is an estimation problem designed to teach dimensional analysis or approximation, and such a problem is usually a back-of-the-envelope calculation.
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Fitness approximation
In function optimization, fitness approximation is a method for decreasing the number of fitness function evaluations to reach a target solution.
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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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Functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense.
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Gravity
Gravity, or gravitation, is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are brought toward (or gravitate toward) one another.
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History of science
The history of science is the study of the development of science and scientific knowledge, including both the natural and social sciences.
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Information
Information is any entity or form that provides the answer to a question of some kind or resolves uncertainty.
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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.
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Isomorphism
In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.
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Iteration
Iteration is the act of repeating a process, to generate a (possibly unbounded) sequence of outcomes, with the aim of approaching a desired goal, target or result.
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Japanese language
is an East Asian language spoken by about 128 million people, primarily in Japan, where it is the national language.
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Korean language
The Korean language (Chosŏn'gŭl/Hangul: 조선말/한국어; Hanja: 朝鮮말/韓國語) is an East Asian language spoken by about 80 million people.
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Latin
Latin (Latin: lingua latīna) is a classical language belonging to the Italic branch of the Indo-European languages.
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Least squares
The method of least squares is a standard approach in regression analysis to approximate the solution of overdetermined systems, i.e., sets of equations in which there are more equations than unknowns.
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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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Linear approximation
In mathematics, a linear approximation is an approximation of a general function using a linear function (more precisely, an affine function).
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Logarithm
In mathematics, the logarithm is the inverse function to exponentiation.
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Measurement
Measurement is the assignment of a number to a characteristic of an object or event, which can be compared with other objects or events.
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Newton's method
In numerical analysis, Newton's method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real-valued function.
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Number
A number is a mathematical object used to count, measure and also label.
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Numerical analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).
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Order of approximation
In science, engineering, and other quantitative disciplines, orders of approximation refer to formal or informal terms for how precise an approximation is, and to indicate progressively more refined approximations: in increasing order of precision, a zeroth-order approximation, a first-order approximation, a second-order approximation, and so forth.
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Perturbation theory
Perturbation theory comprises mathematical methods for finding an approximate solution to a problem, by starting from the exact solution of a related, simpler problem.
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Philosophy of science
Philosophy of science is a sub-field of philosophy concerned with the foundations, methods, and implications of science.
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Physical law
A physical law or scientific law is a theoretical statement "inferred from particular facts, applicable to a defined group or class of phenomena, and expressible by the statement that a particular phenomenon always occurs if certain conditions be present." Physical laws are typically conclusions based on repeated scientific experiments and observations over many years and which have become accepted universally within the scientific community.
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Physicist
A physicist is a scientist who has specialized knowledge in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe.
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Pi
The number is a mathematical constant.
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Proportionality (mathematics)
In mathematics, two variables are proportional if there is always a constant ratio between them.
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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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Rough set
In computer science, a rough set, first described by Polish computer scientist Zdzisław I. Pawlak, is a formal approximation of a crisp set (i.e., conventional set) in terms of a pair of sets which give the lower and the upper approximation of the original set.
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Round-off error
A round-off error, also called rounding error, is the difference between the calculated approximation of a number and its exact mathematical value due to rounding.
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Runge–Kutta methods
In numerical analysis, the Runge–Kutta methods are a family of implicit and explicit iterative methods, which include the well-known routine called the Euler Method, used in temporal discretization for the approximate solutions of ordinary differential equations.
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Shape
A shape is the form of an object or its external boundary, outline, or external surface, as opposed to other properties such as color, texture or material composition.
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Significant figures
The significant figures (also known as the significant digits) of a number are digits that carry meaning contributing to its measurement resolution.
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Small-angle approximation
The small-angle approximation is a useful simplification of the basic trigonometric functions which is approximately true in the limit where the angle approaches zero.
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Sphere
A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").
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Successive approximation ADC
A successive approximation ADC is a type of analog-to-digital converter that converts a continuous analog waveform into a discrete digital representation via a binary search through all possible quantization levels before finally converging upon a digital output for each conversion.
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Taylor series
In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point.
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Tolerance relation
In mathematics, a tolerance relation is a relation that is reflexive and symmetric, but not necessarily transitive; a set X that possesses a tolerance relation can be described as a tolerance space.
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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.
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References
[1] https://en.wikipedia.org/wiki/Approximation