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

[cheater cheater]

Daniel,
if you're concerned about the symbols:
every maths book has a table of symbols that exist in them. Usually at the end.
Search through books until you find the symbol, the table will list
what page number it's on, then go on from there.

Hope this helps
D.

On Sun, Mar 1, 2009 at 12:23 PM, Magnus Danielson
<magnus at rubidium.dyndns.org> wrote:
> Dan Snazelle skrev:
>>
>> ok
>>
>> what about if it has little triangles? (are these delta? what school of
>> math is this? algebra?)
>
> I hope you are aware of the way functions is annotated, that a function f(x)
> is an annotation to say that the output of the function f depends on the
> input variable x. More variables can be used such as f(x,y,z), which could
> represent "it is a function of the position in space" or just a function of
> three variables just conveniently labeled x, y and z.
>
> The little triangle is the greek Delta sign (big delta) which is used to
> signify some difference. For example:
>
> /| x(n) = x(n+1)-x(n)
>
> It is still normal algebra, just a handy notation to describe a difference
> (which often is just called "a delta"). For clarity I will write delta
> below, but it means the same thing.
>
> If define a delta of a functions f(x) output with some delta x variable
> like this (notice that delta x is a different variable to that of x, think
> of it as a delta along the x axis):
>
> delta y = f(x+ delta x) - f(x)
>
> and divides it by delta y you get an expression of the slope over the delta
> x distance as a function of where on x you are. If you now let the delta x
> go towards very very very small... just taking the plunge towards zero...
> but not quite get there... we say that we let delta x goes towards the limit
> value of 0 (at this time) you get the funky formula
>
>                      f(x+delta x) - f(x)
> f'(x) =      lim      -------------------
>        delta x -> 0        delta x
>
> As you can see it removes the DC component of f(x) at the value of x, but
> scales the slope so it is the slope at x and not tainted by nearby values.
> This is called derivation and this is what the funky d notation also says...
> and the ' in the f(x) tells you that the function f(x) you had now has been
> transformed into another function, f'(x), which has the slope or derivate of
> f(x).
>
>         d f(x)
> f'(x) =  ------
>          d x
>
> describes the same thing...
>
> This is the step from algebra over to calculus.
>
>> also...i keep reading about transform functions...is that calculus?
>
> Not necessarilly, to be strict anything you do in algebra is transforms too,
> but the transforms you hear about such as Fourier Transform, Laplace
> Transform etc. is generic linear transforms that builds upon calculus and is
> so important methods that they got a name of their own.
>
>> i am also seeing a few other weird symbols pop up.
>> thanks so much
>
> Not all of them will be needed initially.
>
>> spending my saturday night reading "mastering technical mathematics"
>
> How about Saturday Night Live Mathematics?
>
> Cheers,
> Magnus
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