Re: complex numbers


"The TimeLord" <mathnphysics-not@xxxxxxxxxxxxx> wrote in message news:4fednWrWx-RmGDLfRVn-ow@xxxxxxxxxxxxxx
> Dirk Van de moortel <dirkvandemoortel@xxxxxxxxxxxxxxxxxxxxxxxxxxx> wrote in
> <VZfre.119624$ia5.6770755@xxxxxxxxxxxxxxxxxxxxx> on Monday 13 June 2005
> 08:36 posted to sci.physics.relativity:
>
> >
> > "N:dlzc D:aol T:com (dlzc)" <N: dlzc1 D:cox T:net@xxxxxxxxxx> wrote in
> > message news:uLfre.7177$7s.91@xxxxxxxxxxxxx
> >> Dear jem:
> >>
> >> "jem" <xxx@xxxxxxx> wrote in message
> >> news:FVere.91014$sy6.84187@xxxxxxxxxxxxx
> >> > The TimeLord wrote:
> >> ...
> >> >> You can see that unless you keep straight just what
> >> >> the square root is defined to be,
> >> >
> >> > Sqrt() is defined to be a function so e.g. Sqrt(1) = 1,
> >> > not +-1, and of course i^2 = -1, not +-1.
> >>
> >> sqrt() may be defined by programming languages to be "the
> >> positive square root", allowing the programmer to assign whatever
> >> sign(s) the programmer chooses. But the result of the square
> >> root is bivalued
> >
> > Well, point me to *one* single technical or engineering
> > publication or text in the world where they have an equation
> > where they mean anything other than 3 when they write sqrt(9),
> > and you are in business.
> > sqrt is the positive root of a positive number.
>
> The guy was asking about math, not engineering or tech stuff.
>
> >
> >> (except for sqrt(0) ). sqrt(-1) is the
> >> conundrum, i^2 is the solution.
> >
> > There is no such thing as sqrt(-1).
> > sqrt(-1) is for bad enceclopedias.
>
> Definition:
> Sqrt[-1] = i

No.
Definition:
i^2 = -1
That is all you need.

Dirk Vdm


.

Relevant Pages

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    ... >> In sci.physics.relativity, Dirk Van de moortel ... >>> publication or text in the world where they have an equation ... >>> sqrt is the positive root of a positive number. ...
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  • Re: complex numbers
    ... "Dirk Van de moortel" ... >> signthe programmer chooses. ... > sqrt is the positive root of a positive number. ... We have chosen the negative sign of the square root in equation ...
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