Re: Complex Number tutorial



On Jan 21, 9:41 pm, buleg...@xxxxxxxxxxxxxxx wrote:
I intend to add some more explanation in the near future.  However,
this whole j thing is difficult because getting that physical
intuition has not really come to me yet.  I wonder if you must simply
accept, as an article of faith that Eulers identity works and that
(e^jwt+e^-jwt)/2 = cos(wt).  That is, the staring point is accepting
the identity.  The equivelent of an axiom in geometry, then build off
of the axiom.- Hide quoted text -

The description that is intuitive for me is that multiplying a number
on the x-axis by integer powers of -1 cause rotation by 180 degrees.
Logically, to rotate by 90 degrees one should multiply by a number
that you multiply by it again will give 180 degrees of rotation. This
number is the square root of -1.
Rocky
.



Relevant Pages

  • Re: Relativity question
    ... motion demonstrate that differential rotation bands occur between ... > I think my own intuition is pretty good; ...
    (sci.astro.amateur)
  • Re: Why should -1 multiplied by -1 be plus 1 and not -1
    ... With fathering, ... > defect in intuition. ... Multiplying by -1 is similar to turning around. ... Now you're facing the ...
    (sci.logic)
  • Re: All Hail The Powerbook Battery!
    ... >> Weak and piddly daylight it may be, but there is more hours of it. ... > My intuition tells me that given the earth's rotation and its orbit ... It all depends on rates of rotation, tilt, orbits ...
    (uk.comp.sys.mac)
  • Re: Orlow cardinality question
    ... Tony Orlow (aeo6) wrote: ... My Theory of Bigulosity ... Does multiplying every element by ... intuition is not supposed to carry over to infinite sets, ...
    (sci.math)