Look up fractals and fractional integration. Fractals have many uses and one that commonly benefits most of us today are fractal antennas (they are frequency independent). Cell phones use them!
Clay
Reply by Frank Miles●April 6, 20162016-04-06
On Wed, 06 Apr 2016 11:23:30 -0700, maury001 wrote:
> On Friday, April 1, 2016 at 2:55:46 PM UTC-5, gyans...@gmail.com wrote:
>> Why do we need it?
>>
>> http://mathhandbook.com/
>
> Do a google search on "Fractional Calculus: History, Definitions and Applications for the Engineer. From the abstract:
>
> This report is aimed at the engineering and/or scientific professional who wishes to learn about Fractional Calculus and its possible applications in
> his/her field(s) of study. The intent is to first expose the
> reader to the concepts, applicable definitions, and execution of fractional
> calculus (including a discussion of notation, operators, and fractional order differential equations), and second to show how these may be
> used to solve several modern problems. Also included within is a list of applicable references that may
> provide the reader with a library of information for the further study and use of fractional calculus."
>
> Good luck in your search.
Fractional integral or differential terms occur in distributed systems,
as in certain electrochemical interfaces, and electromagnetic propagation
in lossy media. It may seem april-foolish but there are areas of real
practical interest.
Reply by ●April 6, 20162016-04-06
On Friday, April 1, 2016 at 2:55:46 PM UTC-5, gyans...@gmail.com wrote:
Do a google search on "Fractional Calculus: History, Definitions and Applications for the Engineer. From the abstract:
This report is aimed at the engineering and/or scientific professional who wishes to learn about Fractional Calculus and its possible applications in
his/her field(s) of study. The intent is to first expose the
reader to the concepts, applicable definitions, and execution of fractional
calculus (including a discussion of notation, operators, and fractional order differential equations), and second to show how these may be
used to solve several modern problems. Also included within is a list of applicable references that may
provide the reader with a library of information for the further study and use of fractional calculus."
Good luck in your search.
Reply by Eric Jacobsen●April 5, 20162016-04-05
On Mon, 4 Apr 2016 23:17:22 -0700 (PDT), robert bristow-johnson
<rbj@audioimagination.com> wrote:
>On Monday, April 4, 2016 at 6:34:07 PM UTC-4, radam...@gmail.com wrote:
>> In a pinch you can make a half-integrator with a full integrator and a hammer.
>>
>
>what if you whack it a little too hard. do you get 4 quarter-integrators?
Is a 4-quarter integrator a buck integrator?
Or a gallon integrator?
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Reply by robert bristow-johnson●April 5, 20162016-04-05
On Monday, April 4, 2016 at 6:34:07 PM UTC-4, radam...@gmail.com wrote:
> In a pinch you can make a half-integrator with a full integrator and a hammer.
>
what if you whack it a little too hard. do you get 4 quarter-integrators?
r b-j
Reply by ●April 4, 20162016-04-04
In a pinch you can make a half-integrator with a full integrator and a hammer.
Bob
Reply by robert bristow-johnson●April 4, 20162016-04-04
On Sunday, April 3, 2016 at 1:32:17 PM UTC-4, gyans...@gmail.com wrote:
> On Sunday, April 3, 2016 at 1:34:43 PM UTC+12, Cedron wrote:
> > >On Fri, 1 Apr 2016 20:35:19 -0700 (PDT), gyansorova@gmail.com wrote:
> > >
> > [...snip...]
> > >>
> > >>It's English, sorry if it is not your first language.
> > >
> > >Was joke.
> > >
> > >
> > >
> > >
> > >---
> > >This email has been checked for viruses by Avast antivirus software.
> > >https://www.avast.com/antivirus
> >
> > Why do we need jokes?
> >
> > (Note the original post was on April Fool's day, although the site that is
> > linked to is clearly serious.)
> >
> > Perhaps better sites:
> >
> > https://en.wikipedia.org/wiki/Fractional_calculus
> >
> > http://www.mathpages.com/home/kmath616/kmath616.htm
> >
> > Oops, meant to ask "Why are jokes needed?"
> >
> > Ced
> > ---------------------------------------
> > Posted through http://www.DSPRelated.com
>
> I saw the wiki site and it's not bad, but it doesn't mention any engineering applications. What would the z-transform be of a half-integrator? I presume z/(z-1) ^0.5, but how does that become a difference equation.
well, maybe you can do a 1/2 sample delay and make a difference equation.
r b-j
Reply by robert bristow-johnson●April 4, 20162016-04-04
On Friday, April 1, 2016 at 9:07:48 PM UTC-4, radam...@gmail.com wrote:
> If you want to filter white noise to make pink noise then you need a "half-integrator".
>
> Bob
i can make a pretty good half-integrator outa 3 poles and 3 zeros.
Reply by ●April 3, 20162016-04-03
On Sunday, April 3, 2016 at 1:34:43 PM UTC+12, Cedron wrote:
> >On Fri, 1 Apr 2016 20:35:19 -0700 (PDT), gyansorova@gmail.com wrote:
> >
> [...snip...]
> >>
> >>It's English, sorry if it is not your first language.
> >
> >Was joke.
> >
> >
> >
> >
> >---
> >This email has been checked for viruses by Avast antivirus software.
> >https://www.avast.com/antivirus
>
> Why do we need jokes?
>
> (Note the original post was on April Fool's day, although the site that is
> linked to is clearly serious.)
>
> Perhaps better sites:
>
> https://en.wikipedia.org/wiki/Fractional_calculus
>
> http://www.mathpages.com/home/kmath616/kmath616.htm
>
> Oops, meant to ask "Why are jokes needed?"
>
> Ced
> ---------------------------------------
> Posted through http://www.DSPRelated.com
I saw the wiki site and it's not bad, but it doesn't mention any engineering applications. What would the z-transform be of a half-integrator? I presume z/(z-1) ^0.5, but how does that become a difference equation.