nascent delta function


  • What are examples of Delta functions?

    In mechanics, and example of the delta function is the force when hitting an object by a hammer. Say you hit a steel ball with a hammer. It moves with a certain velocity representing the total momentum transferred by the hammer.
  • What is delta function equation?

    ? ( x ) = 1 2 ? ? ? ? ? exp ( i k x ) d k . This is the integral representation for a delta function. In 2D, we have. ? ( x ) ? ( y ) = 1 ( 2 ? ) 2 ? ? ? ? exp ( i k x x ) d k x ? ? ? ? exp ( i k y y ) d k y. or alternatively, using vector notation.
  • What is Dirac delta 0?

    The function ?(x) has the value zero everywhere except at x = 0, where its value is infinitely large and is such that its total integral is 1. This function is very useful as an approximation for a tall narrow spike function, namely an impulse.
  • The nth power of dirac delta is exactly equal to (n-1)th power of a stiffness coefficient times the dirac delta. The stiffness coefficient is related to the differential equation hosts the Dirac delta. The stiffness coefficient is the ratio of a natural derivative of displacement over the local value of displacement.
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