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  2. Dirac delta function - Wikipedia

    en.wikipedia.org/wiki/Dirac_delta_function

    Test functions are also known as bump functions. If the delta function is already understood as a measure, then the Lebesgue integral of a test function against that measure supplies the necessary integral. A typical space of test functions consists of all smooth functions on R with compact support that have as many derivatives as required. As ...

  3. 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]

  4. Impulse response - Wikipedia

    en.wikipedia.org/wiki/Impulse_response

    The impulse response of a linear transformation is the image of Dirac's delta function under the transformation, analogous to the fundamental solution of a partial differential operator. It is usually easier to analyze systems using transfer functions as opposed to impulse responses. The transfer function is the Laplace transform of the impulse ...

  5. PSAT/NMSQT - Wikipedia

    en.wikipedia.org/wiki/PSAT/NMSQT

    The Preliminary SAT/National Merit Scholarship Qualifying Test (PSAT/NMSQT) is a standardized test administered by the College Board and cosponsored by the National Merit Scholarship Corporation (NMSC) in the United States. In the 2018–2019 school year, 2.27 million high school sophomores and 1.74 million high school juniors took the PSAT. [1]

  6. Kronecker delta - Wikipedia

    en.wikipedia.org/wiki/Kronecker_delta

    Unlike the Kronecker delta function and the unit sample function [], the Dirac delta function () does not have an integer index, it has a single continuous non-integer value t. To confuse matters more, the unit impulse function is sometimes used to refer to either the Dirac delta function δ ( t ) {\displaystyle \delta (t)} , or the unit sample ...

  7. Point spread function - Wikipedia

    en.wikipedia.org/wiki/Point_spread_function

    A more general term for the PSF is the system's impulse response; the PSF is the impulse response or impulse response function (IRF) of a focused optical imaging system. The PSF in many contexts can be thought of as the shapeless blob in an image that should represent a single point object. We can consider this as a spatial impulse response ...

  8. Rosenbrock function - Wikipedia

    en.wikipedia.org/wiki/Rosenbrock_function

    Plot of the Rosenbrock function of two variables. Here a = 1 , b = 100 {\displaystyle a=1,b=100} , and the minimum value of zero is at ( 1 , 1 ) {\displaystyle (1,1)} . In mathematical optimization , the Rosenbrock function is a non- convex function , introduced by Howard H. Rosenbrock in 1960, which is used as a performance test problem for ...

  9. Thomae's function - Wikipedia

    en.wikipedia.org/wiki/Thomae's_function

    Thomae mentioned it as an example for an integrable function with infinitely many discontinuities in an early textbook on Riemann's notion of integration. [ 4 ] Since every rational number has a unique representation with coprime (also termed relatively prime) p ∈ Z {\displaystyle p\in \mathbb {Z} } and q ∈ N {\displaystyle q\in \mathbb {N ...