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  2. Impulse (physics) - Wikipedia

    en.wikipedia.org/wiki/Impulse_(physics)

    In classical mechanics, impulse (symbolized by J or Imp) is the change in momentum of an object. If the initial momentum of an object is p 1, and a subsequent momentum is p 2, the object has received an impulse J: =. Momentum is a vector quantity, so impulse is also a vector quantity.

  3. Dirac delta function - Wikipedia

    en.wikipedia.org/wiki/Dirac_delta_function

    The graph of the Dirac delta is usually thought of as following the whole x-axis and the positive y-axis. [5]: 174 The Dirac delta is used to model a tall narrow spike function (an impulse), and other similar abstractions such as a point charge, point mass or electron point.

  4. Dirac comb - Wikipedia

    en.wikipedia.org/wiki/Dirac_comb

    The graph of the Dirac comb function is an infinite series of Dirac delta functions spaced at intervals of T. In mathematics, a Dirac comb (also known as sha function, impulse train or sampling function) is a periodic function with the formula ⁡ := = for some given period . [1]

  5. Impulse response - Wikipedia

    en.wikipedia.org/wiki/Impulse_response

    The impulse can be modeled as a Dirac delta function for continuous-time systems, or as the discrete unit sample function for discrete-time systems. The Dirac delta represents the limiting case of a pulse made very short in time while maintaining its area or integral (thus giving an infinitely high peak).

  6. Boxcar function - Wikipedia

    en.wikipedia.org/wiki/Boxcar_function

    In mathematics, a boxcar function is any function which is zero over the entire real line except for a single interval where it is equal to a constant, A. [1] The function is named after its graph's resemblance to a boxcar , a type of railroad car .

  7. Linear motion - Wikipedia

    en.wikipedia.org/wiki/Linear_motion

    An example of linear motion is an athlete running a 100-meter dash along a straight track. [2] Linear motion is the most basic of all motion. According to Newton's first law of motion, objects that do not experience any net force will continue to move in a straight line with a constant velocity until they are subjected to a net force.

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  9. Sigmoid function - Wikipedia

    en.wikipedia.org/wiki/Sigmoid_function

    A sigmoid function is any mathematical function whose graph has a characteristic S-shaped or sigmoid curve. A common example of a sigmoid function is the logistic function, which is defined by the formula: [1] = + = + = ().

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