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Extrapolation

Index Extrapolation

In mathematics, extrapolation is the process of estimating, beyond the original observation range, the value of a variable on the basis of its relationship with another variable. [1]

47 relations: Analytic continuation, Circle, Compactification (mathematics), Complex analysis, Complex plane, Conic section, Dead reckoning, Ellipse, Experience, Extrapolation domain analysis, Extreme value theory, Finite difference, Forecasting, French curve, Function (mathematics), Hyperbola, Interior reconstruction, Interpolation, Interval (mathematics), Lagrange polynomial, Limit of a function, Linear interpolation, Linear prediction, Linear trend estimation, Mathematics, Minimum polynomial extrapolation, Multigrid method, Padé approximant, Parabola, Point at infinity, Power series, Prediction interval, Radius of convergence, Regression analysis, Richardson extrapolation, Runge's phenomenon, Sequence transformation, Singularity (mathematics), Slippery slope, Smoothness, Static analysis, Summation, Trigonometric functions, Uncertainty, Unit circle, Webster's Dictionary, Zeros and poles.

Analytic continuation

In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of a given analytic function.

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Circle

A circle is a simple closed shape.

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Compactification (mathematics)

In mathematics, in general topology, compactification is the process or result of making a topological space into a compact space.

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Complex analysis

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.

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Complex plane

In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the perpendicular imaginary axis.

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Conic section

In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane.

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Dead reckoning

In navigation, dead reckoning is the process of calculating one's current position by using a previously determined position, or fix, and advancing that position based upon known or estimated speeds over elapsed time and course.

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Ellipse

In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve.

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Experience

Experience is the knowledge or mastery of an event or subject gained through involvement in or exposure to it.

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Extrapolation domain analysis

Extrapolation domain analysis (EDA) is a methodology for identifying geographical areas that seem suitable for adoption of innovative ecosystem management practices on the basis of sites exhibiting similarity in conditions such as climatic, land use and socioeconomic indicators.

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Extreme value theory

Extreme value theory or extreme value analysis (EVA) is a branch of statistics dealing with the extreme deviations from the median of probability distributions.

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Finite difference

A finite difference is a mathematical expression of the form.

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Forecasting

Forecasting is the process of making predictions of the future based on past and present data and most commonly by analysis of trends.

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French curve

A French curve is a template usually made from metal, wood or plastic composed of many different curves.

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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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Hyperbola

In mathematics, a hyperbola (plural hyperbolas or hyperbolae) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.

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Interior reconstruction

In iterative reconstruction in digital imaging, interior reconstruction (also known as limited field of view (LFV) reconstruction) is a technique to correct truncation artifacts caused by limiting image data to a small field of view.

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Interpolation

In the mathematical field of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points.

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Interval (mathematics)

In mathematics, a (real) interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set.

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Lagrange polynomial

In numerical analysis, Lagrange polynomials are used for polynomial interpolation.

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Limit of a function

Although the function (sin x)/x is not defined at zero, as x becomes closer and closer to zero, (sin x)/x becomes arbitrarily close to 1.

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Linear interpolation

In mathematics, linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete set of known data points.

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Linear prediction

Linear prediction is a mathematical operation where future values of a discrete-time signal are estimated as a linear function of previous samples.

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Linear trend estimation

Trend estimation is a statistical technique to aid interpretation of data.

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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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Minimum polynomial extrapolation

In mathematics, minimum polynomial extrapolation is a sequence transformation used for convergence acceleration of vector sequences, due to Sabay and Jackson.

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Multigrid method

Multigrid (MG) methods in numerical analysis are algorithms for solving differential equations using a hierarchy of discretizations.

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Padé approximant

In mathematics a Padé approximant is the 'best' approximation of a function by a rational function of given order – under this technique, the approximant's power series agrees with the power series of the function it is approximating.

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Parabola

In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

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Point at infinity

In geometry, a point at infinity or ideal point is an idealized limiting point at the "end" of each line.

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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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Prediction interval

In statistical inference, specifically predictive inference, a prediction interval is an estimate of an interval in which a future observation will fall, with a certain probability, given what has already been observed.

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Radius of convergence

In mathematics, the radius of convergence of a power series is the radius of the largest disk in which the series converges.

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Regression analysis

In statistical modeling, regression analysis is a set of statistical processes for estimating the relationships among variables.

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Richardson extrapolation

In numerical analysis, Richardson extrapolation is a sequence acceleration method, used to improve the rate of convergence of a sequence.

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Runge's phenomenon

In the mathematical field of numerical analysis, Runge's phenomenon is a problem of oscillation at the edges of an interval that occurs when using polynomial interpolation with polynomials of high degree over a set of equispaced interpolation points.

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Sequence transformation

In mathematics, a sequence transformation is an operator acting on a given space of sequences (a sequence space).

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Singularity (mathematics)

In mathematics, a singularity is in general a point at which a given mathematical object is not defined, or a point of an exceptional set where it fails to be well-behaved in some particular way, such as differentiability.

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Slippery slope

A slippery slope argument (SSA), in logic, critical thinking, political rhetoric, and caselaw, is a consequentialist logical device in which a party asserts that a relatively small first step leads to a chain of related events culminating in some significant (usually negative) effect.

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Smoothness

In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.

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Static analysis

Static analysis, static projection, or static scoring is a simplified analysis wherein the effect of an immediate change to a system is calculated without regard to the longer-term response of the system to that change.

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Summation

In mathematics, summation (capital Greek sigma symbol: ∑) is the addition of a sequence of numbers; the result is their sum or total.

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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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Uncertainty

Uncertainty has been called "an unintelligible expression without a straightforward description".

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Unit circle

In mathematics, a unit circle is a circle with a radius of one.

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Webster's Dictionary

Webster's Dictionary is any of the dictionaries edited by Noah Webster in the early nineteenth century, and numerous related or unrelated dictionaries that have adopted the Webster's name.

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Zeros and poles

In mathematics, a zero of a function is a value such that.

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Redirects here:

Extrapolate, Extrapolated, Extrapolating, Extrapolation method, Extrapolation methods, Linear extrapolation.

References

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

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