inverse theory oor Sjinees
inverse theory
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[Training] Sixth Epicontinental Satellite Remote Sensing Data Inversion Theory and Method Summer School Starts
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He also made fundamental contributions to inverse scattering theory by showing the connection between scattering data and spectral data, thus relating the famous Gelfand -Levitan method to the inverse scattering problem for the Schrödinger equation.
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Weierstrass published a full version of his theory of inversion of hyperelliptic integrals in his next paper Theorie der Abelschen Functionen in Crelle's Journal in 1856.
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Results on unique continuation for solutions to partial differential equations are important in many areas of applied mathematics, in particular in control theory and inverse problems.
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Using the theory of direct current (DC) resistivity prospecting, it is shown that a direct relation exists if the bulk of the current flow is in the vertical direction, whereas the inverse relation exists if the current is in the horizontal direction.
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This paper did not give the full theory of inversion of hyperelliptic integrals that Weierstrass had developed but rather gave a preliminary description of his methods involving representing abelian functions as constantly converging power series.
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Taylor was not the first to discuss this inverse problem but he did make innovative contributions to the theory of such perspective problems.
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Kaiser has made major contributions to cosmology: He made the first calculation of the polarization of the cosmic microwave background (Kaiser 1983); Explained the higher bias of cluster galaxies relative to the matter field (Kaiser 1984); Made a detailed calculation of the statistics of density peaks in the primordial Universe (Bardeen, Kaiser, Silk & Szalay 1986); Introduced the mathematics of redshift-space distortions (Kaiser 1987); Computed the cosmic halo mass function using excursion set theory (Bond, Cole, Efstathiou & Kaiser 1991); First explained the departures of galaxy cluster scaling relations from simple self-similar models (Kaiser 1991); and Performed the first inversion of shear maps from weak gravitational lensing (Kaiser & Squires 1993).
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The first conclusions that he drew from his work was that Newton 's theory of gravity was incorrect and that the inverse square law did not hold.
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Reverse engineering or reverse design also called inverse engineering or inverse design, mainly based on modern design theory, method and measurement technology, it transforms the current product model or physical model into engineering model and concept model by applying the design experience, knowledge and innovative ideal from professional engineers, and realizes re-design and re-creation on the basis of deepen dissection of such a model, it is a design based on existed design.
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Important problems in the linear theory of the equilibrium of beams of isotropic elastic material have usually been approached by the so-called semi-inverse method, whereby a system of stresses or displacements is guessed and subsequently verified.
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It was Fuchs' work on this inverse function which led Poincaré to introduce what he called a Fuchsian group, and use this as a fundamental concept in the development of the theory of automorphic functions.
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However, by the spring of 1748, Clairaut realised that the difference between the observed motion of the moon's apogee and the one predicted by the theory was due to errors coming from the approximations that were being made rather than from the inverse square law of gravitational attraction.
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Importantly, from Liu et al.'s theory all the seemingly distinct quench dynamics manifest identical hidden universal behavior: they exhibit the same emergent nontrivial topological pattern on the band inversion surfaces, and so belong to the same topological class.
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It required for its treatment not so much a specific knowledge of the theory of the potential, although Bôcher was thoroughly equipped on that side, even familiarity with the geometry of inversion, of which he made himself a master, but rather the power to carry through a piece of detailed analytic investigation with accuracy and skill ...
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It shows how astronomical observations prove the inverse square law of gravitation (to an accuracy that was high by the standards of Newton's time); offers estimates of relative masses for the known giant planets and for the Earth and the Sun; defines the very slow motion of the Sun relative to the solar-system barycenter; shows how the theory of gravity can account for irregularities in the motion of the Moon; identifies the oblateness of the figure of the Earth; accounts approximately for marine tides including phenomena of spring and neap tides by the perturbing (and varying) gravitational attractions of the Sun and Moon on the Earth's waters; explains the precession of the equinoxes as an effect of the gravitational attraction of the Moon on the Earth's equatorial bulge; and gives theoretical basis for numerous phenomena about comets and their elongated, near-parabolic orbits.
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16 sinne gevind in 9 ms. Hulle kom uit baie bronne en word nie nagegaan nie.