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[mathcad] new Design of Experiments functionality for Mathcad
Author: Zeftel, Mona    Posted: Tue, 11 Nov 2008 13:59:55 -0500
We are developing new functionality for Mathcad in Design of Experiments and are looking for user feedback and suggestions. If you work in Design of Experiments or Six Sigma and would like to participate in an Alpha test on the functions and new plot types, please let me know the type of work you do and about how much time you have for testing Alpha software in mid-January. We can offer you a copy of the software when the release is available. Mona | Mona Zeftel | Senior Technical Consultant | Mathcad | PTC | 140 Kendrick St. | Needham | MA | 02499 | | --- The Mathcad List - Discussion, Support & News Contributions: /> Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: /> To unsubscribe send a blank email to />

RE:[mathcad] new Design of Experiments functionality for Mathcad
Author: Skogh Lennart    Posted: Wed, 12 Nov 2008 17:16:28 +0100
Hi Mona, I'm working as an test engineer and is interested of how signals is related to each other so if you have new functions that in a illustrative way can visualize more than two signals I can spend two hours as an Alpha tester. Lennart -----Original Message----- From: Zeftel, Mona Sent: den 11 november 2008 20:00 To: /> Subject: [mathcad] new Design of Experiments functionality for Mathcad We are developing new functionality for Mathcad in Design of Experiments and are looking for user feedback and suggestions. If you work in Design of Experiments or Six Sigma and would like to participate in an Alpha test on the functions and new plot types, please let me know the type of work you do and about how much time you have for testing Alpha software in mid-January. We can offer you a copy of the software when the release is available. Mona | Mona Zeftel | Senior Technical Consultant | Mathcad | PTC | 140 Kendrick St. | Needham | MA | 02499 | | --- The Mathcad List - Discussion, Support & News Contributions: /> Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: /> To unsubscribe send a blank email to /> --- The Mathcad List - Discussion, Support & News Contributions: /> Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: /> To unsubscribe send a blank email to />

[mathcad] new Design of Experiments functionality for Mathcad
Author: Paul Bragg    Posted: Tue, 20 Apr 2010 14:57:00 +0000
From: Stephen Jon Blank /> To: /> Date: 21/04/2010 14:57 Subject: Re: [mathcad] new Design of Experiments functionality for Mathcad Is this group still functioning? If so, can any tell me what is the justification for Mathcad 14 having changed the definition of the unit step function from in Mathcad 13 and all prior version to in Mathcad 14. Thanks, Steve --- The Mathcad List - Discussion, Support & News Contributions: Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: To unsubscribe send a blank email to
Attachments:  msg-11174-3.jpg  msg-11174-4.jpg

Re: [mathcad] new Design of Experiments functionality for Mathcad
Author: Paul Bragg    Posted: Tue, 20 Apr 2010 18:05:00 +0000
Hi Steve, As you can see the group is still functioning but pretty quiet. I'll ask our technical team if they know the answer to your question, but maybe someone else has an answer? Regards Paul Bragg Adept Scientific Stephen Jon Blank wrote on 20/04/2010 18:05:29: > From: > > Stephen Jon Blank /> > > To: > > /> > > Date: > > 21/04/2010 14:57 > > Subject: > > Re: [mathcad] new Design of Experiments functionality for Mathcad > > Is this group still functioning? > > If so, can any tell me what is the justification for Mathcad 14 > having changed the definition of the unit step function from [image > removed] in Mathcad 13 and all prior version to [image removed] in > Mathcad 14. > > Thanks, > > Steve > --- The Mathcad List - Discussion, Support & News Contributions: /> Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: /> To unsubscribe send a blank email to />

Re: [mathcad] new Design of Experiments functionality for Mathcad
Author: Paul Bragg    Posted: Wed, 21 Apr 2010 14:57:00 +0000
Hi Steve Looking at Wiki, the graph has rotational symmetry when H(0)=0.5 and is commonly used. Strictly speaking H(0) is undefined. http://en.wikipedia.org/wiki/Heaviside_step_function Best regards Surak ------------------------------------------------- Surak Perera Maths & Simulation, Applications ------------------------------------------------- Adept Scientific www.adeptscience.co.uk Tel: +44 (0) 1462 489113 ------------------------------------------------- From: Stephen Jon Blank To: Date: 21/04/2010 14:57 Subject: Re: [mathcad] new Design of Experiments functionality for Mathcad Is this group still functioning? If so, can any tell me what is the justification for Mathcad 14 having changed the definition of the unit step function from in Mathcad 13 and all prior version to in Mathcad 14. Thanks, Steve --- The Mathcad List - Discussion, Support & News Contributions: Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: To unsubscribe send a blank email to --- The Mathcad List - Discussion, Support & News Contributions: Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: To unsubscribe send a blank email to />
Attachments:  msg-26500-3.jpg  msg-26500-4.jpg

Re: [mathcad] new Design of Experiments functionality for Mathcad
Author: Paul Bragg    Posted: Wed, 21 Apr 2010 15:31:00 +0000
From: "Pergande, Albert N" To: Date: 21/04/2010 15:31 Subject: RE: [mathcad] new Design of Experiments functionality for Mathcad You best bet is to simply redefine it back to what you want. I've redefined the gamma function so instead of giving infinity at its poles it give 10^50 or such so I don’t get errors when it's used in bigger equations. That's the really nice feature of redefining built in functions, you can fix things like that. From: [ Sent: Wednesday, April 21, 2010 10:19 AM To: Cc: Subject: Re: [mathcad] new Design of Experiments functionality for Mathcad Hi Steve Looking at Wiki, the graph has rotational symmetry when H(0)=0.5 and is commonly used. Strictly speaking H(0) is undefined. http://en.wikipedia.org/wiki/Heaviside_step_function Best regards Surak ------------------------------------------------- Surak Perera Maths & Simulation, Applications ------------------------------------------------- Adept Scientific www.adeptscience.co.uk Tel: +44 (0) 1462 489113 ------------------------------------------------- From: Stephen Jon Blank To: Date: 21/04/2010 14:57 Subject: Re: [mathcad] new Design of Experiments functionality for Mathcad Is this group still functioning? If so, can any tell me what is the justification for Mathcad 14 having changed the definition of the unit step function from in Mathcad 13 and all prior version to in Mathcad 14. Thanks, Steve --- The Mathcad List - Discussion, Support & News Contributions: Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: To unsubscribe send a blank email to --- The Mathcad List - Discussion, Support & News Contributions: Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: To unsubscribe send a blank email to --- The Mathcad List - Discussion, Support & News Contributions: Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: To unsubscribe send a blank email to
Attachments:  msg-26548-3.jpg  msg-26548-4.jpg

Re: [mathcad] new Design of Experiments functionality for Mathcad
Author: Paul Bragg    Posted: Fri, 23 Apr 2010 10:13:00 +0000
----- Forwarded by Paul Bragg/Users/AdeptScientific on 21/02/2011 15:09 ----- From: "Tom Gutman" /> To: /> Date: 23/04/2010 10:13 Subject: Re: [mathcad] new Design of Experiments functionality for Mathcad Symmetry and consistency. One point of consistency is with Fourier series. Take the step function (however you define it at zero -- single points have no effect), calculate the Fourier series, and evaluate the Fourier series at zero. The result is one half. Another point of consistency comes from considering the step function as the integral of the Dirac delta function. General principles of integration require that the integral from minus infinity to zero plus the integral from zero to plus infinity be equal to the integral from minus infinity to plus infinity. To get that requires that the integral at zero be one half. Symmetry considerations require that the function behave the same, whether approached from the negative or positive direction. Again, only a value of one half does that. It also simplifies the piecewise definition of continuous functions. You no longer have to worry about which endpoint goes with which value. All nodes simply get the average of the two values, which, for a continuous function, will be the same. Tom Gutman ----- Original Message ----- From: "Stephen Jon Blank" /> To: /> Sent: Tuesday, April 20, 2010 10:05 AM Subject: Re: [mathcad] new Design of Experiments functionality for Mathcad > Is this group still functioning? > > If so, can any tell me what is the justification for Mathcad 14 > having > changed the definition of the unit step function from in Mathcad 13 > and > all prior version to in Mathcad 14. > > Thanks, > > Steve > > --- > The Mathcad List - Discussion, Support & News > Contributions: /> > Hosted by: Adept Scientific http://www.adeptscience.com > List Archive: http://lists.adeptscience.co.uk/ > --- > Would you like this to come to a different email address? > --- > Simply leave the mailing list (see below) and re-join by > sending a blank email from the new address to: > or > --- > You are currently subscribed to mathcad as: > /> > To unsubscribe send a blank email to > /> -------------------------------------------------------------------------------- > Is this group still functioning? > > If so, can any tell me what is the justification for Mathcad 14 > having changed the definition of the unit step function from in > Mathcad 13 and all prior version to in Mathcad 14. > > Thanks, > > Steve > > --- > The Mathcad List - Discussion, Support & News > Contributions: /> > Hosted by: Adept Scientific http://www.adeptscience.com > List Archive: http://lists.adeptscience.co.uk/ > --- > Would you like this to come to a different email address? > --- > Simply leave the mailing list (see below) and re-join by > sending a blank email from the new address to: > or > --- > You are currently subscribed to mathcad as: > /> > To unsubscribe send a blank email to > --- The Mathcad List - Discussion, Support & News Contributions: /> Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: /> To unsubscribe send a blank email to />

Re: [mathcad] new Design of Experiments functionality for Mathcad
Author: Paul Bragg    Posted: Fri, 23 Apr 2010 16:06:00 +0000
----- Forwarded by Paul Bragg/Users/AdeptScientific on 21/02/2011 15:11 ----- From: Stephen Jon Blank /> To: /> Date: 23/04/2010 16:06 Subject: Re: [mathcad] new Design of Experiments functionality for Mathcad Tom Gutman, Thanks very much. Your explanation was very helpful. Just one question, how do we find the Fourier series of the aperiodic step function. Thanks again, Steve Tom Gutman wrote: Symmetry and consistency. One point of consistency is with Fourier series. Take the step function (however you define it at zero -- single points have no effect), calculate the Fourier series, and evaluate the Fourier series at zero. The result is one half. Another point of consistency comes from considering the step function as the integral of the Dirac delta function. General principles of integration require that the integral from minus infinity to zero plus the integral from zero to plus infinity be equal to the integral from minus infinity to plus infinity. To get that requires that the integral at zero be one half. Symmetry considerations require that the function behave the same, whether approached from the negative or positive direction. Again, only a value of one half does that. It also simplifies the piecewise definition of continuous functions. You no longer have to worry about which endpoint goes with which value. All nodes simply get the average of the two values, which, for a continuous function, will be the same. Tom Gutman ----- Original Message ----- From: "Stephen Jon Blank" /> To: /> Sent: Tuesday, April 20, 2010 10:05 AM Subject: Re: [mathcad] new Design of Experiments functionality for Mathcad Is this group still functioning? If so, can any tell me what is the justification for Mathcad 14 having changed the definition of the unit step function from in Mathcad 13 and all prior version to in Mathcad 14. Thanks, Steve --- The Mathcad List - Discussion, Support & News Contributions: /> Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: /> To unsubscribe send a blank email to /> -------------------------------------------------------------------------------- Is this group still functioning? If so, can any tell me what is the justification for Mathcad 14 having changed the definition of the unit step function from in Mathcad 13 and all prior version to in Mathcad 14. Thanks, Steve --- The Mathcad List - Discussion, Support & News Contributions: /> Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: /> To unsubscribe send a blank email to --- The Mathcad List - Discussion, Support & News Contributions: /> Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: /> To unsubscribe send a blank email to /> --- The Mathcad List - Discussion, Support & News Contributions: Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: To unsubscribe send a blank email to

Re: [mathcad] new Design of Experiments functionality for Mathcad
Author: Paul Bragg    Posted: Sat, 24 Apr 2010 09:22:00 +0000
----- Forwarded by Paul Bragg/Users/AdeptScientific on 21/02/2011 15:12 ----- From: /> To: /> Date: 24/04/2010 09:22 Subject: Re: [mathcad] new Design of Experiments functionality for Mathcad You make a very good case for asking a different question instead: why Mathcad defined it as for so long? :-) -- Andy Spragg Mathematical Modeller Innovation & Improvement Dept Premier Foods Central Technical Tel: 01494 428023 email: To cc Subject Re: [mathcad] new Design of Experiments functionality for Mathcad "Tom Gutman" 23/04/2010 07:11 Please respond to /> Symmetry and consistency. One point of consistency is with Fourier series. Take the step function (however you define it at zero -- single points have no effect), calculate the Fourier series, and evaluate the Fourier series at zero. The result is one half. Another point of consistency comes from considering the step function as the integral of the Dirac delta function. General principles of integration require that the integral from minus infinity to zero plus the integral from zero to plus infinity be equal to the integral from minus infinity to plus infinity. To get that requires that the integral at zero be one half. Symmetry considerations require that the function behave the same, whether approached from the negative or positive direction. Again, only a value of one half does that. It also simplifies the piecewise definition of continuous functions. You no longer have to worry about which endpoint goes with which value. All nodes simply get the average of the two values, which, for a continuous function, will be the same. Tom Gutman ----- Original Message ----- From: "Stephen Jon Blank" /> To: /> Sent: Tuesday, April 20, 2010 10:05 AM Subject: Re: [mathcad] new Design of Experiments functionality for Mathcad > Is this group still functioning? > > If so, can any tell me what is the justification for Mathcad 14 > having > changed the definition of the unit step function from in Mathcad 13 > and > all prior version to in Mathcad 14. > > Thanks, > > Steve > > --- > The Mathcad List - Discussion, Support & News > Contributions: /> > Hosted by: Adept Scientific http://www.adeptscience.com > List Archive: http://lists.adeptscience.co.uk/ > --- > Would you like this to come to a different email address? > --- > Simply leave the mailing list (see below) and re-join by > sending a blank email from the new address to: > or > --- > You are currently subscribed to mathcad as: > /> > To unsubscribe send a blank email to > /> -------------------------------------------------------------------------------- > Is this group still functioning? > > If so, can any tell me what is the justification for Mathcad 14 > having changed the definition of the unit step function from in > Mathcad 13 and all prior version to in Mathcad 14. > > Thanks, > > Steve > > --- > The Mathcad List - Discussion, Support & News > Contributions: /> > Hosted by: Adept Scientific http://www.adeptscience.com > List Archive: http://lists.adeptscience.co.uk/ > --- > Would you like this to come to a different email address? > --- > Simply leave the mailing list (see below) and re-join by > sending a blank email from the new address to: > or > --- > You are currently subscribed to mathcad as: > /> > To unsubscribe send a blank email to > --- The Mathcad List - Discussion, Support & News Contributions: /> Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: /> To unsubscribe send a blank email to /> --- The Mathcad List - Discussion, Support & News Contributions: Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: To unsubscribe send a blank email to />
Attachments:  msg-27010-3.jpg

Re: [mathcad] new Design of Experiments functionality for Mathcad
Author: Paul Bragg    Posted: Mon, 26 Apr 2010 10:55:00 +0000
From: "Tom Gutman" /> To: /> Date: 26/04/2010 10:55 Subject: Re: [mathcad] new Design of Experiments functionality for Mathcad You can't, quite. But you can make a periodic function by repeating the values over any range that has zero in the interior. Makes no difference what interval you choose, you will always get a value of one half at zero. Extrapolate to an infinite interval. Tom Gutman ----- Original Message ----- From: "Stephen Jon Blank" /> To: /> Sent: Friday, April 23, 2010 6:56 AM Subject: Re: [mathcad] new Design of Experiments functionality for Mathcad > Tom Gutman, > > Thanks very much. Your explanation was very helpful. > Just one question, how do we find the Fourier series of the > aperiodic > step function. > > Thanks again, > Steve > > > Tom Gutman wrote: >> Symmetry and consistency. >> >> One point of consistency is with Fourier series. Take the step >> function (however you define it at zero -- single points have no >> effect), calculate the Fourier series, and evaluate the Fourier >> series >> at zero. The result is one half. >> >> Another point of consistency comes from considering the step >> function >> as the integral of the Dirac delta function. General principles of >> integration require that the integral from minus infinity to zero >> plus >> the integral from zero to plus infinity be equal to the integral >> from >> minus infinity to plus infinity. To get that requires that the >> integral at zero be one half. >> >> Symmetry considerations require that the function behave the same, >> whether approached from the negative or positive direction. Again, >> only a value of one half does that. >> >> It also simplifies the piecewise definition of continuous >> functions. >> You no longer have to worry about which endpoint goes with which >> value. All nodes simply get the average of the two values, which, >> for >> a continuous function, will be the same. >> >> Tom Gutman >> >> ----- Original Message ----- >> From: "Stephen Jon Blank" /> >> To: /> >> Sent: Tuesday, April 20, 2010 10:05 AM >> Subject: Re: [mathcad] new Design of Experiments functionality for >> Mathcad >> >> >> >>> Is this group still functioning? >>> >>> If so, can any tell me what is the justification for Mathcad 14 >>> having >>> changed the definition of the unit step function from in Mathcad >>> 13 >>> and >>> all prior version to in Mathcad 14. >>> >>> Thanks, >>> >>> Steve >>> >>> --- >>> The Mathcad List - Discussion, Support & News >>> Contributions: /> >>> Hosted by: Adept Scientific http://www.adeptscience.com >>> List Archive: http://lists.adeptscience.co.uk/ >>> --- >>> Would you like this to come to a different email address? >>> --- >>> Simply leave the mailing list (see below) and re-join by >>> sending a blank email from the new address to: >>> or >>> --- >>> You are currently subscribed to mathcad as: >>> /> >>> To unsubscribe send a blank email to >>> /> >>> >> >> >> -------------------------------------------------------------------------------- >> >> >> >>> Is this group still functioning? >>> >>> If so, can any tell me what is the justification for Mathcad 14 >>> having changed the definition of the unit step function from in >>> Mathcad 13 and all prior version to in Mathcad 14. >>> >>> Thanks, >>> >>> Steve >>> >>> --- >>> The Mathcad List - Discussion, Support & News >>> Contributions: /> >>> Hosted by: Adept Scientific http://www.adeptscience.com >>> List Archive: http://lists.adeptscience.co.uk/ >>> --- >>> Would you like this to come to a different email address? >>> --- >>> Simply leave the mailing list (see below) and re-join by >>> sending a blank email from the new address to: >>> or >>> --- >>> You are currently subscribed to mathcad as: >>> /> >>> To unsubscribe send a blank email to >>> /> >>> >> >> >> --- >> The Mathcad List - Discussion, Support & News >> Contributions: /> >> Hosted by: Adept Scientific http://www.adeptscience.com >> List Archive: http://lists.adeptscience.co.uk/ >> --- >> Would you like this to come to a different email address? >> --- >> Simply leave the mailing list (see below) and re-join by >> sending a blank email from the new address to: >> or >> --- >> You are currently subscribed to mathcad as: /> >> To unsubscribe send a blank email to >> /> >> >> >> > > > --- > The Mathcad List - Discussion, Support & News > Contributions: /> > Hosted by: Adept Scientific http://www.adeptscience.com > List Archive: http://lists.adeptscience.co.uk/ > --- > Would you like this to come to a different email address? > --- > Simply leave the mailing list (see below) and re-join by > sending a blank email from the new address to: > or > --- > You are currently subscribed to mathcad as: > /> > To unsubscribe send a blank email to > --- The Mathcad List - Discussion, Support & News Contributions: /> Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: /> To unsubscribe send a blank email to />

Re: [mathcad] new Design of Experiments functionality for Mathcad
Author: Paul Bragg    Posted: Mon, 26 Apr 2010 15:27:00 +0000
From: Stephen Jon Blank /> To: /> Date: 26/04/2010 15:27 Subject: Re: [mathcad] new Design of Experiments functionality for Mathcad Tom Gutman, Thanks again. Steve Tom Gutman wrote: > You can't, quite. But you can make a periodic function by repeating > the values over any range that has zero in the interior. Makes no > difference what interval you choose, you will always get a value of > one half at zero. Extrapolate to an infinite interval. > > Tom Gutman > > ----- Original Message ----- > From: "Stephen Jon Blank" /> > To: /> > Sent: Friday, April 23, 2010 6:56 AM > Subject: Re: [mathcad] new Design of Experiments functionality for > Mathcad > > > >> Tom Gutman, >> >> Thanks very much. Your explanation was very helpful. >> Just one question, how do we find the Fourier series of the >> aperiodic >> step function. >> >> Thanks again, >> Steve >> >> >> Tom Gutman wrote: >> >>> Symmetry and consistency. >>> >>> One point of consistency is with Fourier series. Take the step >>> function (however you define it at zero -- single points have no >>> effect), calculate the Fourier series, and evaluate the Fourier >>> series >>> at zero. The result is one half. >>> >>> Another point of consistency comes from considering the step >>> function >>> as the integral of the Dirac delta function. General principles of >>> integration require that the integral from minus infinity to zero >>> plus >>> the integral from zero to plus infinity be equal to the integral >>> from >>> minus infinity to plus infinity. To get that requires that the >>> integral at zero be one half. >>> >>> Symmetry considerations require that the function behave the same, >>> whether approached from the negative or positive direction. Again, >>> only a value of one half does that. >>> >>> It also simplifies the piecewise definition of continuous >>> functions. >>> You no longer have to worry about which endpoint goes with which >>> value. All nodes simply get the average of the two values, which, >>> for >>> a continuous function, will be the same. >>> >>> Tom Gutman >>> >>> ----- Original Message ----- >>> From: "Stephen Jon Blank" /> >>> To: /> >>> Sent: Tuesday, April 20, 2010 10:05 AM >>> Subject: Re: [mathcad] new Design of Experiments functionality for >>> Mathcad >>> >>> >>> >>> >>>> Is this group still functioning? >>>> >>>> If so, can any tell me what is the justification for Mathcad 14 >>>> having >>>> changed the definition of the unit step function from in Mathcad >>>> 13 >>>> and >>>> all prior version to in Mathcad 14. >>>> >>>> Thanks, >>>> >>>> Steve >>>> >>>> --- >>>> The Mathcad List - Discussion, Support & News >>>> Contributions: /> >>>> Hosted by: Adept Scientific http://www.adeptscience.com >>>> List Archive: http://lists.adeptscience.co.uk/ >>>> --- >>>> Would you like this to come to a different email address? >>>> --- >>>> Simply leave the mailing list (see below) and re-join by >>>> sending a blank email from the new address to: >>>> or >>>> --- >>>> You are currently subscribed to mathcad as: >>>> /> >>>> To unsubscribe send a blank email to >>>> /> >>>> >>>> >>> -------------------------------------------------------------------------------- >>> >>> >>> >>> >>>> Is this group still functioning? >>>> >>>> If so, can any tell me what is the justification for Mathcad 14 >>>> having changed the definition of the unit step function from in >>>> Mathcad 13 and all prior version to in Mathcad 14. >>>> >>>> Thanks, >>>> >>>> Steve >>>> >>>> --- >>>> The Mathcad List - Discussion, Support & News >>>> Contributions: /> >>>> Hosted by: Adept Scientific http://www.adeptscience.com >>>> List Archive: http://lists.adeptscience.co.uk/ >>>> --- >>>> Would you like this to come to a different email address? >>>> --- >>>> Simply leave the mailing list (see below) and re-join by >>>> sending a blank email from the new address to: >>>> or >>>> --- >>>> You are currently subscribed to mathcad as: >>>> /> >>>> To unsubscribe send a blank email to >>>> /> >>>> >>>> >>> --- >>> The Mathcad List - Discussion, Support & News >>> Contributions: /> >>> Hosted by: Adept Scientific http://www.adeptscience.com >>> List Archive: http://lists.adeptscience.co.uk/ >>> --- >>> Would you like this to come to a different email address? >>> --- >>> Simply leave the mailing list (see below) and re-join by >>> sending a blank email from the new address to: >>> or >>> --- >>> You are currently subscribed to mathcad as: /> >>> To unsubscribe send a blank email to >>> /> >>> >>> >>> >>> >> --- >> The Mathcad List - Discussion, Support & News >> Contributions: /> >> Hosted by: Adept Scientific http://www.adeptscience.com >> List Archive: http://lists.adeptscience.co.uk/ >> --- >> Would you like this to come to a different email address? >> --- >> Simply leave the mailing list (see below) and re-join by >> sending a blank email from the new address to: >> or >> --- >> You are currently subscribed to mathcad as: >> /> >> To unsubscribe send a blank email to >> >> > > > --- > The Mathcad List - Discussion, Support & News > Contributions: /> > Hosted by: Adept Scientific http://www.adeptscience.com > List Archive: http://lists.adeptscience.co.uk/ > --- > Would you like this to come to a different email address? > --- > Simply leave the mailing list (see below) and re-join by > sending a blank email from the new address to: > or > --- > You are currently subscribed to mathcad as: /> > To unsubscribe send a blank email to /> > > > --- The Mathcad List - Discussion, Support & News Contributions: /> Hosted by: Adept Scientific http://www.adeptscience.com List Archive: http://lists.adeptscience.co.uk/ --- Would you like this to come to a different email address? --- Simply leave the mailing list (see below) and re-join by sending a blank email from the new address to: or --- You are currently subscribed to mathcad as: /> To unsubscribe send a blank email to />

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