On Jan 8, 9:10*pm, "Frank" wrote:
Frank
You know that the term of dy/dx is absent of metrics unless limits are
applied.
If the object is to measure the plane at hand it obviously must
represent a homogeneous plane
when the limits applied. This was established long before I was born
so it was not I who made it up
Laugh away it is good for you.
Art

Your terminology is confusing: *"The term of dy/dx". *What does "term"
mean? *How is it absent of metrics? *I assume by "Metrics" you mean
a numeric value. *dy/dx implies there is a function: y = f(x), for which
the derivative, f '(x) exists. *The calculation of a derivative is trivial,
and assigning a numeric result simply involves substituting in
f ' (x) at x = a. * I don't understand what you mean by applying limits
to a derivative. *As long as the function is continuous, then the
derivative exists. *Are you considering the "Newton Quotient"?
Why is the Newton Quotient relevant, when simple differentiation
methods will achieve the same answer.

What are you measuring in a plane? *A plane is represented by a
linear equation in x, y, and z: such as:
a(x - xo)+b(y - yo)+c(z - zo) = 0. *The coefficients a, b, and c
are a set of direction numbers of a normal to the plane.
Taking the derivative (dy/dx) of such a function implies a
"Partial" derivative, such that the "z" terms vanish, and you are
left with an equation of a line y = m*x+b, where the solution
is obviously "m". *As for the homogeneity of a plane; you are introducing
a 4th dimension. *What is the 4th variable? *Subject to partial
differentiation
with respect to x; the 4th variable disapears anyway.

Did I get it right? *I find the way you explain math is very difficult for
me to follow. *Note: I am not laughing at you -- I assume you are
laughing at us who respond.

Frank

No Frank I was careless.
When you are determining the area under a curve, the curve has an
equation
When the graph is roughly drawn out you draw a narrow vertical strip
that represents dy/dx
That strip has no specific thickness as it represents a vanishingly
thin strip.
If the area represented a cross section of a radiator the thickness of
that strip is then a problem.
As a radiator dx could represent the skin depth or it could represent
the distance from the surface to the center line and thus the cross
section would not be homogenous, same density etc
The problem then becomes what is the true skin depth density in
relation to the inner core which allows for the application of the
material resistance.
Now I see skin depth as the point that eddy current becomes a
contained current circuit without discontinuity. The books define skin
depth as a relation of decay which is not how I see things so we have
a difference in proving things one way or the other. I then added
aunconnected problem by drifting towards integration and limits ie
travelling back from integration to the differation format which was a
silly mistake for which I have been already reprimanded by the nets
monitor who looks out for those things rather than the technical
content. I really believe that the answer lays
on Maxwells laws and not with the approximation supplied by Uda/Yagi.
Computor programs say the same thing via the tipping radiator which
all deny so there is no possible solution to be arrived at that
satisfies all unless somebody provides answers that reflect Maxwell
and not Yagi/Uda rather than "I said so" as every thing is known and
is in the books that I own. At no time have I taken your postings as
mocking or otherwise insincere as you are the only person who used a
antenna program in conjuction with my beliefs which shows radiators as
not being parallel with the surface of the Earth where others refused
to check in any way. As I stated in an earlier posting one must graph
the current levels at the top of a radiator by superimposing both
graphs where both the leading and trailing currents arrive at the end
( time separation of half a period)so that current direction can be
determined since in one case there is no eddy current and the other
case does have eddy currents( flow resistance) on the surface which
thus determines current flow direction at each point.
Best regards
Art