Search for "Interpolation" in article titles:

1. Interpolation: In the simplest, classical, sense it is the constructive (possibly approximate) recovery of a function of a certain class by its known values, or by known values of its derivatives, at prescribed (given) points. Suppose one is given $ n+ 1 ... (Mathematics) [100%] 2023-02-09
2. Interpolation: Interpolation, in mathematics, the process of obtaining intermediate terms of a series of which particular terms only are given. The cubes, for instance, shown in the second column of the accompanying table, may be regarded as terms of a series ... [100%] 2022-09-02
3. Interpolation formula: A formula for the approximate calculation of values of a function $ f ( x) $ by replacing it by a function $$ g ( x) \equiv g ( x ; a _ {0}, \dots, a _ {n} ) $$ that is simple in a certain sense and belongs ... (Mathematics) [70%] 2023-09-27
4. Interpolation inequality: In the field of mathematical analysis, an interpolation inequality is an inequality of the form where for \displaystyle{ 0\leq k \leq n }[/math], \displaystyle{ u_k }[/math] is an element of some particular vector space \displaystyle{ X_k }[/math] equipped with ... [70%] 2023-12-17 [Inequalities] [Sobolev spaces]...
5. Interpolation search: Interpolation search is an algorithm for searching for a key in an array that has been ordered by numerical values assigned to the keys (key values). It was first described by W. (Searching algorithm) [70%] 2023-12-04 [Search algorithms]
6. Interpolation theory: The Interpolation Theory, also known as the Intercalation Theory or the Antithetic Theory, is a theory that attempts to explain the origin of the alternation of generations in plants. The Interpolation Theory suggests that the sporophyte generation progenated from a ... [70%] 2023-11-24 [Biology theories]
7. Interpolation space: In the field of mathematical analysis, an interpolation space is a space which lies "in between" two other Banach spaces. The main applications are in Sobolev spaces, where spaces of functions that have a noninteger number of derivatives are interpolated ... [70%] 2023-04-13 [Banach spaces] [Fourier analysis]...
8. Interpolation process: A process for obtaining a sequence of interpolation functions $ \{ f _ {n} ( z) \} $ for an indefinitely-growing number $ n $ of interpolation conditions. If the interpolation functions $ f _ {n} ( z) $ are represented by the partial sums of some series of ... (Mathematics) [70%] 2024-01-12
9. Interpolation spline: A spline $$ S _ {m} ( \Delta _ {n} ; x ) = \ a _ {0} + a _ {1} x + \dots + a _ {m-1} x ^ {m-1} + \sum _ { k= 0} ^ { n-1 } C _ {k} ( x - x _ {k} ) _ {+} ^ {m} , $$ where ... (Mathematics) [70%] 2023-10-17
10. Interpolation and Extrapolation: This course belongs to the track Numerical Algorithms in the Department of Scientific Computing in the School of Computer Science. In this course, students will learn how to approximate discrete data. [57%] 2023-04-10 [Scientific computing] [Computer Science Courses]...
11. Interpolation (computer graphics): In the context of live-action and computer animation, interpolation is inbetweening, or filling in frames between the key frames. It typically calculates the in-between frames through use of (usually) piecewise polynomial interpolation to draw images semi-automatically. (Computer graphics) [57%] 2023-06-18 [Splines (mathematics)] [Interpolation]...
12. Cubic Spline Interpolation: Cubic spline interpolation is a special case for Spline interpolation that is used very often to avoid the problem of Runge's phenomenon. This method gives an interpolating polynomial that is smoother and has smaller error than some other interpolating ... [57%] 2023-03-03
13. Interpolation of operators: Obtaining from known properties of an operator in two or more spaces conclusions as to the properties of this operator in spaces that are in a certain sense intermediate. A Banach pair $ A , B $ is a pair of Banach spaces ... (Mathematics) [57%] 2023-10-23
14. Interpolation (popular music): In popular music, interpolation (also called a replayed sample) refers to using a melody—or portions of a melody (often with modified lyrics)—from a previously recorded song but re-recording the melody instead of sampling it. Interpolation is often ... (Popular music) [57%] 2023-07-26 [Musical techniques] [Interpolation (music)]...
15. Interpolation (classical music): For music of the Classical period, "interpolation" is defined in the context of a musical sentence or period as "unrelated material inserted between two logically succeeding functions". This device is commonly used to extend what would normally be a regular ... (Classical music) [57%] 2025-04-22 [Musical techniques] [Interpolation (music)]...
16. Motion Interpolation (computer graphics): Motion interpolation is a programming technique in data-driven character animation that creates transitions between example motions and to extrapolates new motions. Example motions are often created through keyframing or motion capture. (Computer graphics) [50%] 2023-10-18 [Animation techniques]
17. Interpolation in numerical mathematics: A method for approximating or precisely finding some quantity by known individual values of it or of other quantities related to it. On the basis of interpolation a whole series of approximate methods for solving mathematical problems has been developed. (Mathematics) [50%] 2023-10-26
18. Directional Cubic Convolution Interpolation: Directional Cubic Convolution Interpolation (DCCI) is an edge-directed image scaling algorithm created by Dengwen Zhou and Xiaoliu Shen. By taking into account the edges in an image, this scaling algorithm reduces artifacts common to other image scaling algorithms. [50%] 2024-06-14 [Image processing]
19. Interpolation of sparse pointwise and integral geographical Data over Time: Interpolation of sparse pointwise and integral geographical Data over Time Martin Papke* Abstract Geographical data, for example distribution densities of species as discussed in , often are given both by pointwise and integral values. We aim to give two interpolation algorithm ... [31%] 2023-04-05 [Papers]
20. Birkhoff interpolation: In mathematics, Birkhoff interpolation is an extension of polynomial interpolation. It refers to the problem of finding a polynomial p of degree d such that certain derivatives have specified values at specified points: where the data points \displaystyle{ (x_i,y_i ... [70%] 2022-12-11 [Interpolation]
21. Harcourt interpolation: The Harcourt interpolation was a scandal of Victorian London in which a rogue compositor inserted an obscene remark—"The speaker then said he felt inclined for a bit of fucking"—into a page proof for The Times newspaper, in the ... (History) [70%] 2024-01-12 [Victorian era]
22. Transfinite interpolation: In numerical analysis, transfinite interpolation is a means to construct functions over a planar domain in such a way that they match a given function on the boundary. This method is applied in geometric modelling and in the field of ... [70%] 2023-09-20 [Interpolation]
23. Bible interpolation: Bible interpolation or Bible redaction is the art of adding words, phrases, or entire sentences (depending on punctuation) to the Bible — and thus sanctifying the maunderings of mere Man as Holy Writ. Some Christians, through a lack of research or ... [70%] 2023-10-06 [Christianity] [Bible analysis]...
24. Spline interpolation: Interpolation by means of splines (cf. Spline), that is, the construction of an interpolation spline taking given values $ f ( x _ {i} ) $ at prescribed points $ x _ {i} $, $ i= 0 \dots n $. (Mathematics) [70%] 2023-09-10
25. Christian interpolation: In textual criticism, Christian interpolation generally refers to textual insertion and textual damage to Jewish and pagan source texts during Christian scribal transmission. Notable examples among the body of texts known as Old Testament pseudepigrapha include the disputed authenticity of ... (Religion) [70%] 2023-10-23 [Biblical criticism]
26. Barnes interpolation: Barnes interpolation, named after Stanley L. Barnes, is the interpolation of unevenly spread data points from a set of measurements of an unknown function in two dimensions into an analytic function of two variables. (Data processing technique) [70%] 2023-09-05 [Interpolation] [Spatial analysis]...
27. Craig interpolation: In mathematical logic, Craig's interpolation theorem is a result about the relationship between different logical theories. Roughly stated, the theorem says that if a formula φ implies a formula ψ, and the two have at least one atomic variable symbol in ... [70%] 2023-12-31 [Mathematical logic] [Lemmas]...
28. Mimetic interpolation: In mathematics, mimetic interpolation is a method for interpolating differential forms. In contrast to other interpolation methods, which estimate a field at a location given its values on neighboring points, mimetic interpolation estimates the field's k {\displaystyle k} -form ... [70%] 2023-05-17 [Interpolation] [Differential forms]...
29. Trigonometric interpolation: In mathematics, trigonometric interpolation is interpolation with trigonometric polynomials. Interpolation is the process of finding a function which goes through some given data points. (Interpolation with trigonometric polynomials) [70%] 2023-12-24 [Interpolation] [Trigonometry]...
30. Bicubic interpolation: In mathematics, bicubic interpolation is an extension of cubic interpolation (not to be confused with cubic spline interpolation, a method of applying cubic interpolation to a data set) for interpolating data points on a two-dimensional regular grid. The interpolated ... (Extension of cubic interpolation for interpolating data points on a two-dimensional regular grid) [70%] 2022-12-11 [Image processing] [Multivariate interpolation]...
31. Barnes interpolation: Barnes interpolation, named after Stanley L. Barnes, is the interpolation of unevenly spread data points from a set of measurements of an unknown function in two dimensions into an analytic function of two variables. (Data processing technique) [70%] 2022-06-22 [Interpolation] [Spatial analysis]...
32. Bilinear interpolation: In mathematics, bilinear interpolation is a method for interpolating functions of two variables (e.g., x and y) using repeated linear interpolation. It is usually applied to functions sampled on a 2D rectilinear grid, though it can be generalized to ... (Method of interpolating functions on a 2D grid) [70%] 2023-10-21 [Multivariate interpolation]
33. Polynomial interpolation: In numerical analysis, polynomial interpolation is the interpolation of a given data set by the polynomial of lowest possible degree that passes through the points of the dataset. Given a set of n + 1 data points \displaystyle{ (x_0,y_0), \ldots ... (Form of interpolation) [70%] 2023-12-24 [Interpolation] [Polynomials]...
34. Trigonometric interpolation: The approximate representation of a function $f$ in the form of a trigonometric polynomial $$T(x)=A+\sum_{k=1}^n(a_k\cos kx+b_k\sin kx)$$ whose values coincide at prescribed points with the corresponding values of the function ... (Mathematics) [70%] 2023-10-21
35. Kergin interpolation: A form of interpolation providing a canonical polynomial of total degree $\leq m$ which interpolates a sufficiently differentiable function at $m + 1$ points in ${\bf R} ^ { n }$. (For $n > 1$ and $m > 1$ there is no unique interpolating polynomial of ... (Mathematics) [70%] 2023-08-30
36. Craig-Interpolation: Die Craig-Interpolation ist ein Ausdruck der Logik. Der zugrunde liegende Satz (Craig’s Lemma, Interpolationstheorem) lautet folgendermaßen: Es seien T 1 {\displaystyle T1} und T 2 {\displaystyle T2} zwei Theorien und der Satz A → C {\displaystyle A\rightarrow C ... [70%] 2023-05-20
37. Aitken interpolation: Aitken interpolation is an algorithm used for polynomial interpolation that was derived by the mathematician Alexander Aitken. It is similar to Neville's algorithm. (Algorithm used for polynomial interpolation) [70%] 2023-10-31 [Polynomials] [Interpolation]...
38. Stairstep interpolation: In image processing, stairstep interpolation is a general method for interpolating the pixels after enlarging an image. The key idea is to interpolate multiple times in small increments using any interpolation algorithm that is better than nearest-neighbor interpolation, such ... (Method for interpolating the pixels after enlarging an image) [70%] 2022-12-28 [Image processing]
39. Trigonometric interpolation: This lesson is currently under construction! Say we have a set of data points that is approximately periodic. [70%] 2023-04-06 [Trigonometry]
40. Pareto interpolation: Pareto interpolation is a method of estimating the median and other properties of a population that follows a Pareto distribution. It is used in economics when analysing the distribution of incomes in a population, when one must base estimates on ... [70%] 2023-11-19 [Estimation methods] [Theory of probability distributions]...
41. Linear interpolation: A method for the approximate calculation of the value of a function $f(x)$, based on the replacement of $f(x)$ by a linear function \[ L(x)=a(x-x_1)+b,\] the parameters $a$ and $b$ being chosen in such ... (Mathematics) [70%] 2023-08-27
42. Carathéodory interpolation: Let $ p ( z ) = a _ {0} + a _ {1} z + \dots + a _ {n - 1 } z ^ {n - 1 } $ be a polynomial of degree at most $ n - 1 $. Let $ H ^ \infty $ be the Hardy space (cf. (Mathematics) [70%] 2023-10-23