Forums

Who Invented the Z Transform

Started by Tim Wescott June 30, 2005
On Mon, 01 Aug 2005 13:19:42 GMT, Gordon Sande
<g.sande@worldnet.att.net> wrote:

> > >Clay S. Turner wrote: >> <eunometic@yahoo.com.au> wrote in message >> news:1122873344.917693.210890@g14g2000cwa.googlegroups.com... >> >>>Hilbert Transforms were ofcourse developed by Hilbert and the Dirac >>>delta by Dirac. >> >> >> The "delta function" came before Dirac, but it was little known. He >> popularized the concept and showed how useful it can be to applications in >> quantum mechanics. >>
Hi, I read somewhere that when Maxwell died, there were twenty "Maxwell's equations", and that it was Oliver Heaviside who reduced those down to the current-day four equations. See Ya', [-Rick-]
Rick Lyons wrote:
> On Mon, 01 Aug 2005 13:19:42 GMT, Gordon Sande > <g.sande@worldnet.att.net> wrote: > > >> >>Clay S. Turner wrote: >> >>><eunometic@yahoo.com.au> wrote in message >>>news:1122873344.917693.210890@g14g2000cwa.googlegroups.com... >>> >>> >>>>Hilbert Transforms were ofcourse developed by Hilbert and the Dirac >>>>delta by Dirac. >>> >>> >>>The "delta function" came before Dirac, but it was little known. He >>>popularized the concept and showed how useful it can be to applications in >>>quantum mechanics. >>> > > > Hi, > > I read somewhere that when Maxwell died, there were > twenty "Maxwell's equations", and that it > was Oliver Heaviside who reduced those down > to the current-day four equations. > > See Ya', > [-Rick-]
Maxwell's equations were originally four _sets_ of integral equations, one in each set for one axis in space, for a total of 12. He also expresses the relations in quaternions and vector analysis (curl and all that). Dover has an unabridged two-volume set of "A Treatise on Electricity and Magnetism". I bought mine long ago. The set was $4. Reading it gives one much respect for the ancients. Jerry -- Engineering is the art of making what you want from things you can get. &#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;

Jerry Avins wrote:
> Rick Lyons wrote: > >> On Mon, 01 Aug 2005 13:19:42 GMT, Gordon Sande >> <g.sande@worldnet.att.net> wrote: >> >> >>> >>> Clay S. Turner wrote: >>> >>>> <eunometic@yahoo.com.au> wrote in message >>>> news:1122873344.917693.210890@g14g2000cwa.googlegroups.com... >>>> >>>> >>>>> Hilbert Transforms were ofcourse developed by Hilbert and the Dirac >>>>> delta by Dirac. >>>> >>>> >>>> >>>> The "delta function" came before Dirac, but it was little known. He >>>> popularized the concept and showed how useful it can be to >>>> applications in quantum mechanics. >>>> >> >> >> Hi, >> >> I read somewhere that when Maxwell died, there were twenty >> "Maxwell's equations", and that it was Oliver Heaviside who reduced >> those down to the current-day four equations.
>>
>> See Ya', >> [-Rick-] > > > Maxwell's equations were originally four _sets_ of integral equations, > one in each set for one axis in space, for a total of 12. He also > expresses the relations in quaternions and vector analysis (curl and all > that). Dover has an unabridged two-volume set of "A Treatise on > Electricity and Magnetism". I bought mine long ago. The set was $4. > Reading it gives one much respect for the ancients.
There are also Maxwell's relations which are fundamental in thermodynamics. The story has it that an eminent physicist, active in thermodynamics, once did a review of Maxwell's work which included a line that "Maxwell also did some work in electromagnetism".
> Jerry
Gordon Sande wrote:

   ...

> There are also Maxwell's relations which are fundamental in > thermodynamics. The story has it that an eminent physicist, active > in thermodynamics, once did a review of Maxwell's work which included > a line that "Maxwell also did some work in electromagnetism".
The reviewer of Fred Astaire's Hollywood screen test opined that Astaire would be passable and added, "and he can dance a bit, too." Jerry -- Engineering is the art of making what you want from things you can get. &#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;&#2013266095;
Jerry Avins <jya@ieee.org> writes:

> Gordon Sande wrote: > > ... > >> There are also Maxwell's relations which are fundamental in >> thermodynamics. The story has it that an eminent physicist, active >> in thermodynamics, once did a review of Maxwell's work which included >> a line that "Maxwell also did some work in electromagnetism". > > The reviewer of Fred Astaire's Hollywood screen test opined that > Astaire would be passable and added, "and he can dance a bit, too."
I just watched him with Judy Garland in "Easter Parade" yesterday. I never really knew what "dancing like Fred Astaire" meant until I saw that movie. (And the costumes!!! ...) -- % Randy Yates % "Bird, on the wing, %% Fuquay-Varina, NC % goes floating by %%% 919-577-9882 % but there's a teardrop in his eye..." %%%% <yates@ieee.org> % 'One Summer Dream', *Face The Music*, ELO http://home.earthlink.net/~yatescr