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  2. Convergence tests - Wikipedia

    en.wikipedia.org/wiki/Convergence_tests

    Raabe–Duhamel's test. Let { an } be a sequence of positive numbers. Define. If. exists there are three possibilities: if L > 1 the series converges (this includes the case L = ∞) if L < 1 the series diverges. and if L = 1 the test is inconclusive. An alternative formulation of this test is as follows.

  3. Ratio test - Wikipedia

    en.wikipedia.org/wiki/Ratio_test

    Calculus. In mathematics, the ratio test is a test (or "criterion") for the convergence of a series. where each term is a real or complex number and an is nonzero when n is large. The test was first published by Jean le Rond d'Alembert and is sometimes known as d'Alembert's ratio test or as the Cauchy ratio test.

  4. Dirichlet's test - Wikipedia

    en.wikipedia.org/wiki/Dirichlet's_test

    e. In mathematics, Dirichlet's test is a method of testing for the convergence of a series. It is named after its author Peter Gustav Lejeune Dirichlet, and was published posthumously in the Journal de Mathématiques Pures et Appliquées in 1862. [1]

  5. Vergence - Wikipedia

    en.wikipedia.org/wiki/Vergence

    The two eyes converge to point to the same object. A vergence is the simultaneous movement of both eyes in opposite directions to obtain or maintain single binocular vision. [1] When a creature with binocular vision looks at an object, the eyes must rotate around a vertical axis so that the projection of the image is in the centre of the retina ...

  6. Integral test for convergence - Wikipedia

    en.wikipedia.org/wiki/Integral_test_for_convergence

    Integral test for convergence. The integral test applied to the harmonic series. Since the area under the curve y = 1/x for x ∈ [1, ∞) is infinite, the total area of the rectangles must be infinite as well. In mathematics, the integral test for convergence is a method used to test infinite series of monotonic terms for convergence.

  7. Geometric series - Wikipedia

    en.wikipedia.org/wiki/Geometric_series

    The geometric series is an infinite series derived from a special type of sequence called a geometric progression, which is defined by just two parameters: the initial term and the common ratio . Finite geometric series have a third parameter, the final term's power.

  8. Autostereogram - Wikipedia

    en.wikipedia.org/wiki/Autostereogram

    The top and bottom images produce a dent or projection depending on whether viewed with cross- () or wall- () eyed vergence. An autostereogram is a two-dimensional (2D) image that can create the optical illusion of a three-dimensional (3D) scene. Autostereograms use only one image to accomplish the effect while normal stereograms require two.

  9. Prism fusion range - Wikipedia

    en.wikipedia.org/wiki/Prism_fusion_range

    Prism fusion range. The prism fusion range (PFR) or fusional vergence amplitude is a clinical eye test performed by orthoptists, optometrists, and ophthalmologists to assess motor fusion, specifically the extent to which a patient can maintain binocular single vision (BSV) in the presence of increasing vergence demands.