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Problems such as this, where model parameters (the location of the activity) have to be estimated from measured data (the SQUID signals) are referred to as inverse problems (in contrast to forward problems [11] where the model parameters (e.g. source location) are known and the data (e.g. the field at a given distance) is to be estimated.)
In mathematics, inverse mapping theorem may refer to: the inverse function theorem on the existence of local inverses for functions with non-singular derivatives; the bounded inverse theorem on the boundedness of the inverse for invertible bounded linear operators on Banach spaces
The reverse correlation technique is a data driven study method used primarily in psychological and neurophysiological research. [1] This method earned its name from its origins in neurophysiology, where cross-correlations between white noise stimuli and sparsely occurring neuronal spikes could be computed quicker when only computing it for segments preceding the spikes.
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In the 1992 Disney film Aladdin, the titular character, upon freeing the Genie from the lamp, uses reverse psychology to trick the Genie into freeing him from the Cave of Wonders, without using one of his three wishes to do so. A popular example of reverse psychology in media is the release of Queen's hit song "Bohemian Rhapsody". Upon release ...
Another example is the application of conformal mapping technique for solving the boundary value problem of liquid sloshing in tanks. [ 19 ] If a function is harmonic (that is, it satisfies Laplace's equation ∇ 2 f = 0 {\displaystyle \nabla ^{2}f=0} ) over a plane domain (which is two-dimensional), and is transformed via a conformal map to ...
For example, the inverse of a cubic function with a local maximum and a local minimum has three branches (see the adjacent picture). The arcsine is a partial inverse of the sine function. These considerations are particularly important for defining the inverses of trigonometric functions. For example, the sine function is not one-to-one, since
P ' is the inverse of P with respect to the circle. To invert a number in arithmetic usually means to take its reciprocal. A closely related idea in geometry is that of "inverting" a point. In the plane, the inverse of a point P with respect to a reference circle (Ø) with center O and radius r is a point P ', lying on the ray from O through P ...