[sdiy] SDIY MATH GOALS--need real help!

[Dan Snazelle]

anybody seen the microsoft Math 3.0? only 25 bucks... it says it helps you learn as it solves the equations step by step...just wondered if it might be useful.


thanks



--------------------------------------------
check out various dan music at:

http://www.myspace.com/lossnyc

(updated monthly)

http://www.soundclick.com/lossnyc.htm



http://www.indie911.com/dan-snazelle

(or for techno) http://www.myspace.com/snazelle

ALSO check out Dan synth/Fx projects:

AUDIO ARK:

www.youtube.com/watch?v=TJRpvaOcUic

www.youtube.com/watch?v=BqIa_lXQNTA&feature=channel_page

www.youtube.com/watch?v=V4nJPjGgOcU&feature=channel_page







----------------------------------------
> From: subjectivity at hotmail.com
> To: magnus at rubidium.dyndns.org; synth-diy at dropmix.xs4all.nl
> Subject: RE: [sdiy] SDIY MATH GOALS--need real help!
> Date: Sun, 1 Mar 2009 06:43:11 +0000
> CC:
>
>
>
>
> thanks a ton for all that info on which things i need to be able to do,etc
>
> great read
>
>
>
> --------------------------------------------
> check out various dan music at:
>
> http://www.myspace.com/lossnyc
>
> (updated monthly)
>
> http://www.soundclick.com/lossnyc.htm
>
>
>
> http://www.indie911.com/dan-snazelle
>
> (or for techno) http://www.myspace.com/snazelle
>
> ALSO check out Dan synth/Fx projects:
>
> AUDIO ARK:
>
> www.youtube.com/watch?v=TJRpvaOcUic
>
> www.youtube.com/watch?v=BqIa_lXQNTA&feature=channel_page
>
> www.youtube.com/watch?v=V4nJPjGgOcU&feature=channel_page
>
>
>
>
>
>
>
> ----------------------------------------
>> Date: Sun, 1 Mar 2009 02:31:36 +0100
>> From: magnus at rubidium.dyndns.org
>> To: dixon at interchange.ubc.ca
>> CC: subjectivity at hotmail.com; synth-diy at dropmix.xs4all.nl
>> Subject: Re: [sdiy] SDIY MATH GOALS--need real help!
>>
>> David G. Dixon skrev:
>>> Dan,
>>>
>>> If it's got "d something" over "d something" in it, its differential
>>> calculus (the d's on top and the somethings on the bottom can also have
>>> exponents). If it has a big S-shaped thingy to the left of everything
>>> (often with little numbers or symbols above and below it), with a "d
>>> something" at the far right, its integral calculus. If its got "e" or "exp"
>>> or "ln" or "log", then its an exponential or logarithmic function. If it's
>>> got "sin" or "cos" or "tan" or "cot" or "sec" or "csc", with or without an
>>> "arc" in front or an "h" behind, then its trigonometry. If everything is a
>>> function of "s" then it's a Laplace transform. Alternatively, if everything
>>> is a function of "jw" (where the "w" is really an undercase omega), then
>>> it's a Fourier transform, which is really a Laplace transform where s = jw.
>>> If it's got lots of "j"s all over the place, then its complex math.
>>> Otherwise, it's just algebra! (See how easy it all is?!? ;->)
>>
>> Hehe... the Laplace transform and its variations (Z-transform, Fourier
>> transform and Discrete Fourier Transform) is a very powerful tool. It
>> allows converting complex linear diffrential equations into much simpler
>> things and allows analysis of them. Some of that can be a bit
>> hairpulling still, but it will be much more usefull in the end.
>>
>> Many people having math skills may still fail to recognice that the
>> Fourier transform is a proper subcase of the Laplace transform (they
>> claim that the integration limits are not matching, which they can be
>> made to be) and another approach is to say that Laplace is a side-case
>> to the Fourier transform. Ah well.
>>
>> For filters, it is convenient to learn about the concept of poles and
>> zeros. It is usefull to learn about amplitude responce and phase
>> responce (both being responce of frequency on the jomega-axis) and also
>> concepts of phase-delay and group-delay. When getting used to those
>> concepts some analysis can be made on a conceptual level and guide you
>> in the right direction.
>>
>> While these are the more complex aspects, they are important tools, and
>> sometimes you don't really need to know the inner workings of these
>> tools to make good use of them, you just need to learn the overall plot
>> they give you. Studing them closer and closer to be able to learn them
>> better is recommended as there might be important side-cases you need to
>> learn about, limitations which may prohibit you or enable you depending
>> on how you do things and is actually trying to achieve.
>>
>> As for algebra, you don't need very advanced algebra skills most of the
>> time. You can get away with pretty basic stuff using some tables for the
>> more complex conversions such as those that the Fourier transform does
>> for you. You need to be able to insert values into a formula to
>> calculate a value, you need to be able to modify a formula to take the
>> shape that the value you want is alone on one side of the equal sign and
>> the rest of it is on the other side. You also needs to know how to
>> "insert" a formula into another, to replace some variable by that
>> formula. You will need to know how to reduce unnecessary complexity in
>> formulas. It is usefull to be able to take basic formulas and build
>> algebraic expressions from them. There is a whole list of small formula
>> conversion tricks, all very basic, which can safely be applied. Then
>> again some of them needs some care, as they cannot always be used. Just
>> like a hammer may not be the best tool to hit a drum, or you need to
>> know how to use it properly, as with a screw-driver hitting the trum,
>> tapping with the handle on the drum is far better than hacking with the
>> screwhead side into the drumskin...
>>
>> Math can be fun, when you master it. Also, the more you learn, the less
>> you need to actually remember, as you can figure things out backways if
>> you want to and need to. It becomes easier to convert methods from other
>> fields, which is a method in itself... working with analogies. One
>> should however always recall that we use much simplified models for
>> electronics compared to the complex physical phenomenes we have going
>> on. The macroscopic models are that, models on the large scale of
>> things. To fully understand it you would need to know details of what
>> particles is where in a design, know details of physics still in deep
>> research and resolve the complex equations... which is impossible. But
>> models gives us simplifications which makes us be able to understand
>> most of it... until the limits of the model prohibits us, such as it
>> being a linear and noise-free model for instance.
>>
>> Cheers,
>> Magnus
>
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