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  2. Rectangular function - Wikipedia

    en.wikipedia.org/wiki/Rectangular_function

    Plot of normalized ⁡ function (i.e. ⁡ ()) with its spectral frequency components.. The unitary Fourier transforms of the rectangular function are [2] ⁡ = ⁡ = ⁡ (), using ordinary frequency f, where is the normalized form [10] of the sinc function and ⁡ = ⁡ (/) / = ⁡ (/), using angular frequency , where is the unnormalized form of the sinc function.

  3. List of formulae involving π - Wikipedia

    en.wikipedia.org/wiki/List_of_formulae_involving_π

    is the number of collisions made (in ideal conditions, perfectly elastic with no friction) by an object of mass m initially at rest between a fixed wall and another object of mass b 2N m, when struck by the other object. [1] (This gives the digits of π in base b up to N digits past the radix point.)

  4. PI curve - Wikipedia

    en.wikipedia.org/wiki/PI_Curve

    P v I curve. The PI (or photosynthesis-irradiance) curve is a graphical representation of the empirical relationship between solar irradiance and photosynthesis.A derivation of the Michaelis–Menten curve, it shows the generally positive correlation between light intensity and photosynthetic rate.

  5. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]

  6. Approximations of π - Wikipedia

    en.wikipedia.org/wiki/Approximations_of_π

    ((x),(y) = {239, 13 2} is a solution to the Pell equation x 22 y 2 = −1.) Formulae of this kind are known as Machin-like formulae . Machin's particular formula was used well into the computer era for calculating record numbers of digits of π , [ 39 ] but more recently other similar formulae have been used as well.

  7. Leibniz formula for π - Wikipedia

    en.wikipedia.org/wiki/Leibniz_formula_for_π

    In mathematics, the Leibniz formula for π, named after Gottfried Wilhelm Leibniz, states that = + + = = +,. an alternating series.. It is sometimes called the Madhava–Leibniz series as it was first discovered by the Indian mathematician Madhava of Sangamagrama or his followers in the 14th–15th century (see Madhava series), [1] and was later independently rediscovered by James Gregory in ...

  8. Steradian - Wikipedia

    en.wikipedia.org/wiki/Steradian

    The area of a spherical cap is A = 2πrh, where h is the "height" of the cap. If A = r 2, then =. From this, one can compute the cone aperture (a plane angle) 2θ of the cross-section of a simple spherical cone whose solid angle equals one steradian:

  9. Angle trisection - Wikipedia

    en.wikipedia.org/wiki/Angle_trisection

    For example, ⁠ 3 π / 7 ⁠ is such an angle: five angles of measure ⁠ 3 π / 7 ⁠ combine to make an angle of measure ⁠ 15 π / 7 ⁠, which is a full circle plus the desired ⁠ π / 7 ⁠. For a positive integer N, an angle of measure ⁠ 2 π / N ⁠ is trisectible if and only if 3 does not divide N.