Maker Pro
Maker Pro

Complex Number Tutorial

F

Fred Bloggs

Jan 1, 1970
0
I have begun a complex number tutorial which shows how e^jwt works. It
is located:

http://fourier-series.com/fourierseries2/complex_tutorial.html

I have more work to do on this, but come take a look. I created these
programs for complex numbers in order to explain the complex
representaion of the fourier series.

This type of thing just adds to the confusion about the use of complex
numbers in the analysis of linear systems. The concept of the phasor
(phase-vector) is at the core of their utility, and this derives from
the invertible morphism between the analytical operations of
differentiation and integration on real functions and the the algebraic
operation of multiplication by jw and 1/jw on their complex representations.
 
Hi,

I have begun a complex number tutorial which shows how e^jwt works. It
is located:

http://fourier-series.com/fourierseries2/complex_tutorial.html

I have more work to do on this, but come take a look.  I created these
programs for complex numbers in order to explain the complex
representaion of the fourier series.

Brent

I think the last two of these programs are not loading correctly in
some computers. My home computers load fine , but I am seeing other
probs. If the last two programs don't load, I am sorry. I am trying
to figure out why.
 
I  think the last two of these programs are not loading correctly in
some computers.  My home computers load fine , but I am  seeing other
probs.  If the last two programs don't load, I am sorry.  I am trying
to figure out why.

On the last two programs, click to download and then close out the
program, then reclick , and it comes up correctly. Don't know why ,
yet
 
J

Joseph2k

Jan 1, 1970
0
This type of thing just adds to the confusion about the use ofcomplex
numbers in the analysis of linear systems. The concept of the phasor
(phase-vector) is at the core of their utility, and this derives from
the invertible morphism between the analytical operations of
differentiation and integration on real functions and the the algebraic
operation of multiplication by jw and 1/jw on theircomplexrepresentations.

I find that you are the confused one. The properties of the Euler
identity
are what brings up the vector representation.
The conversions between differentiation and multiplication are
related
to conversion between time domain and frequency domain.

JosephKK

domain and frequency domain.
 
F

Fred Bloggs

Jan 1, 1970
0
Joseph2k said:
I find that you are the confused one. The properties of the Euler
identity
are what brings up the vector representation.
The conversions between differentiation and multiplication are
related
to conversion between time domain and frequency domain.

JosephKK

domain and frequency domain.

I would say that you have it backwards. It was the algebraic properties
of the *phasor* that enabled calculations of solutions to real problems
in systems of differential equations that made the whole Fourier/LaPlace
thing go and not vice versa. Euler's identity very nicely tied into the
best known basis functions of the time. Typical engineer...
 
B

blackhead

Jan 1, 1970
0
This type of thing just adds to the confusion about the use of complex
numbers in the analysis of linear systems. The concept of the phasor
(phase-vector) is at the core of their utility, and this derives from
the invertible morphism between the analytical operations of
differentiation and integration on real functions and the the algebraic
operation of multiplication by jw and 1/jw on their complex representations.

Pretentious jibberish
 
B

blackhead

Jan 1, 1970
0
Easy to say, braindead limey fag...- Hide quoted text -

- Show quoted text -

Well, let's take the start of your pretentious jibberish then:
"The concept of the phasor
(phase-vector) is at the core of their utility"

Which can be replaced by "phasors are useful". The rest is just as bad.
 
S

Simon S Aysdie

Jan 1, 1970
0
I would say that you have it backwards. It was the algebraic properties
of the *phasor* that enabled calculations of solutions to real problems
in systems of differential equations that made the whole Fourier/LaPlace
thing go and not vice versa. Euler's identity very nicely tied into the
best known basis functions of the time. Typical engineer...

Use of the Laplace transform can give the complete time domain
response. Phasors don't do that. Phasors only give the forced
response (steady state ac analysis).
 
F

Fred Bloggs

Jan 1, 1970
0
blackhead said:
Well, let's take the start of your pretentious jibberish then:
"The concept of the phasor



Which can be replaced by "phasors are useful". The rest is just as bad.

Having trouble squeezing only slightly more than grunts out of your
wizened pea sized brain?
 
B

blackhead

Jan 1, 1970
0
Having trouble squeezing only slightly more than grunts out of your
wizened pea sized brain?- Hide quoted text -

- Show quoted text -

No, just difficulty taking seriously a deluded fool who complains:

"This type of thing just adds to the confusion about the use of
complex numbers in the analysis of linear systems"

yet adds to the confusion himself by being unable to construct
intelligent, well put together sentences.
 
F

Fred Bloggs

Jan 1, 1970
0
blackhead said:
No, just difficulty taking seriously a deluded fool who complains:

"This type of thing just adds to the confusion about the use of
complex numbers in the analysis of linear systems"

yet adds to the confusion himself by being unable to construct
intelligent, well put together sentences.

If you think I'm so delusional, then why even respond. Write your own (
laughable) ideas... You don't even know what phasors are, and have
damned little use for them outside bit-head DSP...
 
B

blackhead

Jan 1, 1970
0
If you think I'm so delusional, then why even respond. Write your own (
laughable) ideas... You don't even know what phasors are, and have
damned little use for them outside bit-head DSP...- Hide quoted text -

- Show quoted text -

See, you can construct unpretentious, coherent sentences that people
don't have trouble understanding.
How did you come to the conclusion that I don't know what a phasor is?
 
Top