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Topic: Dirac delta function


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  PlanetMath: Dirac delta function
is not a true function since it cannot be defined completely by giving the function value for all values of the argument
can also be defined as a normalized Gaussian function (normal distribution) in the limit of zero width.
This is version 3 of Dirac delta function, born on 2002-01-19, modified 2007-07-02.
planetmath.org /encyclopedia/DiracDeltaFunction.html   (82 words)

  
 help - DiracDelta Science & Engineering Encyclopedia
Dirac Delta Consultants Ltd. can tailor the Encyclopaedia to your corporate needs (and colour schemes, logos etc.) and because all the information is hard-coded it can be uploaded to anywhere on your intranet server without worry.
Dirac Delta Consultants Ltd. have endeavoured to ensure that the information presented here is accurate and that the calculations are correct but can accept no responsibility for any consequential damages or faults that may arise from the use of this software.
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www.diracdelta.co.uk /science/source/h/e/help/source.html   (0 words)

  
  Reference.com/Encyclopedia/Dirac delta function
The Dirac delta or Dirac's delta, often referred to as the unit impulse function and introduced by the British theoretical physicist Paul Dirac, can usually be informally thought of as a function δ(x) that has the value of infinity for x = 0 and the value zero elsewhere.
The discrete analog of the Dirac delta "function" is the Kronecker delta which is sometimes called a delta function even though it is a discrete sequence.
Dirac functions can be of any size in which case their 'strength' A is defined by duration multiplied by amplitude.
www.reference.com /browse/wiki/Dirac_delta_function   (1319 words)

  
 PlanetMath: Dirac delta function
is not a true function since it cannot be defined completely by giving the function value for all values of the argument
Cross-references: width, limit, Gaussian, dimensions, continuous function, Kronecker delta, similar, argument, function
This is version 2 of Dirac delta function, born on 2002-01-19, modified 2002-07-04.
www.planetmath.org /encyclopedia/DiracDeltaFunction.html   (82 words)

  
 Dirac Delta Function
A dirac delta function is a function with zero width and infinite height with an area of 1.
However the Dirac delta is indeed a distribution, not a function as Dirac named it.
A Dirac Delta is a mathematical object; it's a legitimate probability distribution as well (just like a Gaussian is a function, but can also be applied as a probability distribution).
www.physicsforums.com /showthread.php?threadid=135305   (842 words)

  
 Red shift, velocity shift, and physically non-observable values
Dirac pulse cannot contain physically observable harmonic oscillations in its spectrum because Dirac pulse is physically unobservable value.
Dirac delta function is a filter operator with the infinitely wide frequency bandwidth, i.e.
The Heaviside unit step function has got an infinitely high frequency in its spectrum because the function has got an instantaneous jump that means the infinite velocity of energy propagation.
www.bge.ru /~mtb   (1038 words)

  
 Reasoning Leading to Electrogravitational Theory
At zero time, it (the Dirac delta function) equals infinity in amplitude.
The Dirac delta function is a theoretical parameter,...yes.
However, there exists in electronics engineering the Impulse function that is the Dirac delta function in the limit where time = 0 but it is not used as such to provide real engineering solutions.
www.electrogravity.com /index7.html   (0 words)

  
 MUG: Dirac delta   (5.8.02)
When I try to do it using distribution theory by choosing a test function which has bounded support on the positive real line and using the limit from the left and the right of the interval of integration (epsilon, infinity) as epsilon goes to 0 I get that the integral should be "0".
The Dirac delta is a Borel probability measure on the real line with a unit mass at the origin.
You may "represent" the Dirac delta function as any ordinary sharply peaked function (such that their integral is normalized to unity) and take the limit where the peak gets infinitely sharp.
www.math.rwth-aachen.de /mapleAnswers/html/1588.html   (631 words)

  
 Delta Function Potentials p.1
For physicists, the delta function is well designed to represent, for example, the charge density of a point particle: there is some total charge on the particle, but since the particle is point-like, the charge density is zero except at the single location of the particle.
On these pages we will be considering a delta function potential, so our wave function will have to have a jump in derivative so that when Schrödinger's equation takes the second derivate of the wavefunction the result is a delta function to match the delta function potential.
A delta function potential causes no force, except at the one point the potential is non-zero.
www.physics.csbsju.edu /QM/delta.01.html   (452 words)

  
 Dirac Delta Function
So, er, really it is a function, but it isn't a function from {numbers} to {numbers}; it's a function from {functions} to {numbers}.
The theory of distributions uses sequences of functions that approach the 'delta function', and defines the resulting limit to be 'the delta function' even though it isn't a function.
L. integrable functions are a superset of R-S. integrable functions.
c2.com /cgi/wiki?DiracDeltaFunction   (0 words)

  
 baudline manual - tone generator
The unit impulse is like a finite version of the mathematical Dirac delta function which is mostly silence with a periodic positive pulse.
At the zero Hz setting, the change in delta amplitude is zero and it linearly rises the delta amplitude of the full 16 bits at the Nyquist frequency.
This is the secondary function that operates on either FM or AM modulations.
www.baudline.com /manual/tone_generator.html   (0 words)

  
 Green's Functions and Propagators
Dirac delta functions are a perfectly acceptable alternative to the trigonometric eigenfunctions that were studied previously.
We can approximate a Dirac delta function using a narrow Gaussian if we are careful not to make the width, a, smaller than the grid spacing in the simulation.
Determine how a narrow delta function located in the center of the medium evolves in time under the action of the classical wave, diffusion and Schrödinger equations.
webphysics.davidson.edu /Faculty/wc/WaveHTML/node32.html   (621 words)

  
 [No title]
2) Note that the delta function was introduced by Paul Dirac in theoretical physics in the early 20th century.
A number of analytical expressions of delta function are commonly used in the literature.
The approximated Dirac delta function is peaked symmetrically and drops quickly towards zero value.
www.fanginc.com /rdic/texas2.doc   (770 words)

  
 Dirac's delta function and the Fourier transform
The function g is called a ``test'' function and is supposed to behave ``nicely'', having no singularities and approaching 0 at infinity.
There are many other representations of the delta function, but the one given by (80) is especially useful, as seen in the following example.
This representation of the delta function is similar to the one exhibited in eq.
www.nbi.dk /~polesen/borel/node9.html   (399 words)

  
 Dirac's delta function and other distributions
In Section 9 we discussed the relation between the Fourier transform and the delta function.
We end by giving an example of the use of the delta function (this is a solution of problem 3-3).
This equation is possible only if d>0 and c<0 because the range of integration has to include the point x=0 (otherwise the delta function has no support).
www.nbi.dk /~polesen/borel/node12.html   (397 words)

  
 Which Way Up   (Site not responding. Last check: )
The Delta function has no duration in time and it is of zero magnitude everywhere except in the continuous present instant.
Thus, as long as the Delta function is absolutely infinite in magnitude (of its extent) and of no duration in time, its spectrum is all-inclusive (of infinite expanse) - without any gaps - at the same unit magnitude - and it is forever.
The physical sun functions as the singular source of energy for the plant, and the earth functions as its ground of physical nourishment.
www.meru.org /Newsletter/whichwayup.html   (1607 words)

  
 Dirac Delta function
The Dirac Delta Function is always the same.
I'm sorry, the given function is the Dirac delta function.
Strictly, it is not a function but it is considered a function.
www.physicsforums.com /showthread.php?t=64918   (736 words)

  
 Dirac delta function
In physics and engineering, we inevitably deal with the notion of "point actions", that is, actions which are highly localized in space and /or time.
As in the case of the one-dimensional delta function
may be visualized as the formal limit of a sequence of ordinary functions.
www.sci.hkbu.edu.hk /msc/full/billy/node5.html   (0 words)

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