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  2. Root locus analysis - Wikipedia

    en.wikipedia.org/wiki/Root_locus_analysis

    RL = root locus; ZARL = zero angle root locus. Using a few basic rules, the root locus method can plot the overall shape of the path (locus) traversed by the roots as the value of varies. The plot of the root locus then gives an idea of the stability and dynamics of this feedback system for different values of .

  3. Closed-loop pole - Wikipedia

    en.wikipedia.org/wiki/Closed-loop_pole

    In root-locus design, the gain K is usually parameterized. Each point on the locus satisfies the angle condition and magnitude condition and corresponds to a different value of K. For negative feedback systems, the closed-loop poles move along the root-locus from the open-loop poles to the open-loop zeroes as the gain is increased

  4. Vincenty's formulae - Wikipedia

    en.wikipedia.org/wiki/Vincenty's_formulae

    Vincenty's goal was to express existing algorithms for geodesics on an ellipsoid in a form that minimized the program length (Vincenty 1975a). His unpublished report (1975b) mentions the use of a Wang 720 desk calculator, which had only a few kilobytes of memory.

  5. Spherical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Spherical_coordinate_system

    Even with these restrictions, if the polar angle (inclination) is 0° or 180°—elevation is −90° or +90°—then the azimuth angle is arbitrary; and if r is zero, both azimuth and polar angles are arbitrary. To define the coordinates as unique, the user can assert the convention that (in these cases) the arbitrary coordinates are set to zero.

  6. Locus (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Locus_(mathematics)

    Each curve in this example is a locus defined as the conchoid of the point P and the line l.In this example, P is 8 cm from l. In geometry, a locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.

  7. Approach and departure angles - Wikipedia

    en.wikipedia.org/wiki/Approach_and_departure_angles

    Approach (α) and departure angle (β) of a vehicle. Approach angle is the maximum angle of a ramp onto which a vehicle can climb from a horizontal plane without interference. [1] It is defined as the angle between the ground and the line drawn between the front tire and the lowest-hanging part of the vehicle at the front overhang.

  8. Clairaut's relation (differential geometry) - Wikipedia

    en.wikipedia.org/wiki/Clairaut's_relation...

    The formula states that if γ is a parametrization of a great circle then (()) ⁡ (()) =, where ρ(P) is the distance from a point P on the great circle to the z-axis, and ψ(P) is the angle between the great circle and the meridian through the point P.

  9. Nyquist stability criterion - Wikipedia

    en.wikipedia.org/wiki/Nyquist_stability_criterion

    The Nyquist plot for () = + + with s = jω.. In control theory and stability theory, the Nyquist stability criterion or Strecker–Nyquist stability criterion, independently discovered by the German electrical engineer Felix Strecker [] at Siemens in 1930 [1] [2] [3] and the Swedish-American electrical engineer Harry Nyquist at Bell Telephone Laboratories in 1932, [4] is a graphical technique ...