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The aim of an accurate intraocular lens power calculation is to provide an intraocular lens (IOL) that fits the specific needs and desires of the individual patient. The development of better instrumentation for measuring the eye's axial length (AL) and the use of more precise mathematical formulas to perform the appropriate calculations have significantly improved the accuracy with which the ...
In fact, Appell's equation leads directly to Lagrange's equations of motion. [3] Moreover, it can be used to derive Kane's equations, which are particularly suited for describing the motion of complex spacecraft. [4] Appell's formulation is an application of Gauss' principle of least constraint. [5]
In solid-state physics, the k·p perturbation theory is an approximated semi-empirical approach for calculating the band structure (particularly effective mass) and optical properties of crystalline solids.
Evan O'Neill Kane (December 23, 1924 – March 23, 2006), known as E. O. Kane in his publications, was an American physicist who established some of the basic understanding of the theory of semiconductors that are now used in consumer and other electronics.
The coefficients of f(P,x) form the toric h-vector of P. When P is an Eulerian poset of rank d + 1 such that P − 1 is simplicial, the toric h-vector coincides with the ordinary h-vector constructed using the numbers f i of elements of P − 1 of given rank i + 1. In this case the toric h-vector of P satisfies the Dehn–Sommerville equations
A special case of a toric section is the spiric section, in which the intersecting plane is parallel to the rotational symmetry axis of the torus. They were discovered by the ancient Greek geometer Perseus in roughly 150 BC. [2] Well-known examples include the hippopede and the Cassini oval and their relatives, such as the lemniscate of Bernoulli.
A (3,−7)-3D torus knot.EureleA Award showing a (2,3)-torus knot. (2,8) torus link. In knot theory, a torus knot is a special kind of knot that lies on the surface of an unknotted torus in R 3.
[3] [4] The toric code can also be considered to be a Z 2 lattice gauge theory in a particular limit. [5] It was introduced by Alexei Kitaev. The toric code gets its name from its periodic boundary conditions, giving it the shape of a torus. These conditions give the model translational invariance, which is useful for analytic study.