In physics, motion is a change in position of an object with respect to time. Motion is typically described in terms of velocity, acceleration, displacement, and time. Motion is observed by attaching a frame of reference to a body and measuring its change in position relative to another reference frame. A body which does not move is said to be at rest, motionless, immobile, stationary, or to have constant position.
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Deconvolution
In mathematics, deconvolution is an algorithm-based process used to reverse the effects of convolution on recorded data. The concept of deconvolution is widely used in the techniques of signal processing and image processing. Because these techniques are in turn widely used in many scientific and engineering disciplines, deconvolution finds many applications.
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Kernel (statistics)
The term kernel has two separate meanings in statistics.
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Conjugate gradient method
In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose matrix is symmetric and positive-definite. The conjugate gradient method is an iterative method, so it can be applied to sparse systems that are too large to be handled by direct methods such as the Cholesky decomposition. Such systems often arise when numerically solving partial differential equations.
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Value (mathematics)
In mathematics, value commonly refers to the output of a function. In the most basic case, that of unary, single-valued functions, there is one input and one output (the value of the function). A real-valued function is a function that associates to every element of the domain a real number in the image. Example: If the function is defined by prescribing that for each real number, then the input 3 will yield the function value 10 (since indeed {{{1}}}).
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Fourier transform
The Fourier transform expresses a mathematical function of time as a function of frequency, known as its frequency spectrum. Named for Joseph Fourier, it is a mathematical transform with many applications in physics and engineering. The Fourier integral theorem details this relationship.
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Condition number
In the field of numerical analysis, the condition number of a function with respect to an argument measures the asymptotically worst case of how much the function can change in proportion to small changes in the argument. The "function" is the solution of a problem and the "arguments" are the data in the problem. A problem with a low condition number is said to be well-conditioned, while a problem with a high condition number is said to be ill-conditioned.
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