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  2. Fixation disparity - Wikipedia

    en.wikipedia.org/wiki/Fixation_disparity

    This x-intercept is also referred to as aligning prism or – in earlier times – as associated phoria when the subjective nonius method was used (sP 0) the slope of the curve near zero prism load; Fig. 3: Fixation disparity as a function of the forced vergence angle which is induced by base-in prisms and base-out prisms in front of the eyes.

  3. Exophoria - Wikipedia

    en.wikipedia.org/wiki/Exophoria

    Exophoria. Exophoria is a form of heterophoria in which there is a tendency of the eyes to deviate outward. [1] During examination, when the eyes are dissociated, the visual axes will appear to diverge away from one another. [2] The axis deviation in exophoria is usually mild compared with that of exotropia.

  4. Basis of a matroid - Wikipedia

    en.wikipedia.org/wiki/Basis_of_a_matroid

    The bases of a matroid characterize the matroid completely: a set is independent if and only if it is a subset of a basis. Moreover, one may define a matroid to be a pair , where is the ground-set and is a collection of subsets of , called "bases", with the following properties: [7][8] (B1) There is at least one base --.

  5. Euler's identity - Wikipedia

    en.wikipedia.org/wiki/Euler's_identity

    In mathematics, Euler's identity[note 1] (also known as Euler's equation) is the equality where. is pi, the ratio of the circumference of a circle to its diameter. Euler's identity is named after the Swiss mathematician Leonhard Euler. It is a special case of Euler's formula when evaluated for .

  6. Orthonormal basis - Wikipedia

    en.wikipedia.org/wiki/Orthonormal_basis

    Orthonormal basis. In mathematics, particularly linear algebra, an orthonormal basis for an inner product space with finite dimension is a basis for whose vectors are orthonormal, that is, they are all unit vectors and orthogonal to each other. [1][2][3] For example, the standard basis for a Euclidean space is an orthonormal basis, where the ...

  7. Euler's formula - Wikipedia

    en.wikipedia.org/wiki/Euler's_formula

    v. t. e. Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that, for any real number x, one has where e is the base of the natural logarithm, i is the imaginary ...

  8. Standard basis - Wikipedia

    en.wikipedia.org/wiki/Standard_basis

    In mathematics, the standard basis (also called natural basis or canonical basis) of a coordinate vector space (such as or ) is the set of vectors, each of whose components are all zero, except one that equals 1. [1] For example, in the case of the Euclidean plane formed by the pairs (x, y) of real numbers, the standard basis is formed by the ...

  9. Characterizations of the exponential function - Wikipedia

    en.wikipedia.org/wiki/Characterizations_of_the...

    Characterisation 3 involves defining the natural logarithm before the exponential function is defined. First, This means that the natural logarithm of equals the (signed) area under the graph of between and . If , then this area is taken to be negative. Then, is defined as the inverse of , meaning that by the definition of an inverse function.