Relationship To The Kronecker Delta
The Kronecker delta is the quantity defined by
for all integers i, j. This function then satisfies the following analog of the sifting property: if is any doubly infinite sequence, then
Similarly, for any real or complex valued continuous function ƒ on R, the Dirac delta satisfies the sifting property
This exhibits the Kronecker delta function as a discrete analog of the Dirac delta function.
Read more about this topic: Dirac Delta Function
Famous quotes containing the words relationship to the, relationship to and/or relationship:
“... the Wall became a magnet for citizens of every generation, class, race, and relationship to the war perhaps because it is the only great public monument that allows the anesthetized holes in the heart to fill with a truly national grief.”
—Adrienne Rich (b. 1929)
“Artists have a double relationship towards nature: they are her master and her slave at the same time. They are her slave in so far as they must work with means of this world so as to be understood; her master in so far as they subject these means to their higher goals and make them subservient to them.”
—Johann Wolfgang Von Goethe (1749–1832)
“Film music should have the same relationship to the film drama that somebody’s piano playing in my living room has to the book I am reading.”
—Igor Stravinsky (1882–1971)