advanced_tools:distributions
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advanced_tools:distributions [2017/05/07 13:48] jakobadmin created |
advanced_tools:distributions [2018/05/05 12:38] (current) jakobadmin ↷ Links adapted because of a move operation |
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| ====== Distributions ====== | ====== Distributions ====== | ||
| - | <tabbox Why is it interesting?> | ||
| <tabbox Layman?> | <tabbox Layman?> | ||
| - | <note tip> | + | A distribution is a generalized function. |
| - | Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party. | + | |
| - | </note> | + | |
| | | ||
| <tabbox Student> | <tabbox Student> | ||
| - | <note tip> | ||
| - | In this section things should be explained by analogy and with pictures and, if necessary, some formulas. | ||
| - | </note> | ||
| <tabbox Researcher> | <tabbox Researcher> | ||
| - | <note tip> | + | * [[http://phys.lsu.edu/graceland/faculty/oconnell/PDFfiles.sav/137.%20Distribution%20Functions%20in%20Physics%3B%20Fundamentals.pdf|DISTRIBUTION FUNCTIONS IN PHYSICS: FUNDAMENTALS]] by M. HILLERY et. al. |
| - | The motto in this section is: //the higher the level of abstraction, the better//. | + | |
| - | </note> | + | |
| - | --> Does the notion "Dirac Delta **Function**" make any sense? # | + | <tabbox Why is it interesting?> |
| - | + | Distributions are the correct mathematical tools to describe fields in [[theories:quantum_field_theory:canonical|quantum field theory]]. | |
| - | <-- | + | |
| - | --> Common Question 2# | + | <tabbox FAQ> |
| + | --> Does the notion "Dirac Delta Function" make any sense? # | ||
| - | + | Yes, have a look at [[http://jakobschwichtenberg.com/origin-of-the-term-delta-function/|this article]]. | |
| <-- | <-- | ||
| - | | ||
| - | <tabbox Examples> | ||
| - | --> Example1# | ||
| - | + | <tabbox History> | |
| - | <-- | + | |
| - | --> Example2:# | + | Most people associate the origin of the delta function with the great physicist Paul Dirac, but in fact, it was introduced into mathematics 100 years earlier by Fourier and Cauchy. See [[http://homepages.warwick.ac.uk/staff/David.Tall/pdfs/dot2010x-katz-cauchydirac.pdf|WHO INVENTED DIRAC’S DELTA FUNCTION?]] MIKHAIL G. KATZ AND DAVID TALL |
| - | |||
| - | <-- | ||
| - | | ||
| - | <tabbox History> | ||
| </tabbox> | </tabbox> | ||
advanced_tools/distributions.1494157713.txt.gz · Last modified: 2017/12/04 08:01 (external edit)
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