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  2. Intraocular lens power calculation - Wikipedia

    en.wikipedia.org/wiki/Intraocular_lens_power...

    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 ...

  3. Toric lens - Wikipedia

    en.wikipedia.org/wiki/Toric_lens

    Toric lens surface as "cap" (top-right) from a torus (here with R = 1.2 r). A toric lens is a lens with different optical power and focal length in two orientations perpendicular to each other. One of the lens surfaces is shaped like a "cap" from a torus (see figure at right), and the other one is usually spherical .

  4. Toric variety - Wikipedia

    en.wikipedia.org/wiki/Toric_variety

    The toric variety constructed from a fan is necessarily normal. Conversely, every toric variety has an associated fan of strongly convex rational cones. This correspondence is called the fundamental theorem for toric geometry, and it gives a one-to-one correspondence between normal toric varieties and fans of strongly convex rational cones. [2]

  5. Formula calculator - Wikipedia

    en.wikipedia.org/wiki/Formula_calculator

    The formula calculator concept can be applied to all types of calculator, including arithmetic, scientific, statistics, financial and conversion calculators. The calculation can be typed or pasted into an edit box of: A software package that runs on a computer, for example as a dialog box. An on-line formula calculator hosted on a web site.

  6. k·p perturbation theory - Wikipedia

    en.wikipedia.org/wiki/K·p_perturbation_theory

    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.

  7. Toric section - Wikipedia

    en.wikipedia.org/wiki/Toric_section

    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.

  8. Toric manifold - Wikipedia

    en.wikipedia.org/wiki/Toric_manifold

    In mathematics, a toric manifold is a topological analogue of toric variety in algebraic geometry. It is an even-dimensional manifold with an effective smooth action of an n {\displaystyle n} -dimensional compact torus which is locally standard with the orbit space a simple convex polytope .

  9. Appell's equation of motion - Wikipedia

    en.wikipedia.org/wiki/Appell's_equation_of_motion

    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]