Re: "Linear"
- From: glird <glird@xxxxxxx>
- Date: Thu, 2 Jul 2009 15:31:58 -0700 (PDT)
On Jul 1, 11:27 am, Uncle Ben <b...@xxxxxxxxxxx> wrote:
On Jun 29, 1:17 pm, glird wrote:<< As these mutually contradictory replies are beginning to show: Very
few people, if any, understand the intricate details of the meanings
of the calculus equations, even though they all know *how to* do them.
What follows here is a summary of the q and a to here:
Is the following equation x = jt a linear equation if j = dx/dt?
Ben: x = jt is linear in t. It is also linear in j.
Dirk: If j is constant and x is a function of t, then the function x
t) is called linear in t. >>
Dirk's Yes, "If j is constant" says No, if j is variable. That
disagrees with Ben's "x = jt is linear ... in j"!
<< What if j = v? >>
Ben said it is linear.
Dirk implicitly agreed with Ben.
<< What if j = dv/dt = a? >>
Ben unambiguously said Yes, it is linear. Dirk said it is linear IF a
is held constant. Since a may be variable, their answers again
disagree.
<< How does one obtain the slope of a given equation so as to know
whether or not it is linear? >>
Dirk replied "Equations don't have slopes."
Ben's answer to a prior question was, "x' = g(x - vt) is called
'linear' because a graph of x' vs either x or t with other variables
constant is a STRAIGHT LINE"!
A straight line DOES have a slope; wherefore Dirk's reply does
disagree with Ben's,
< Actually, Dirk and Ben do not disagree at all. Dirk reminded you thatit is assumed that dx/dt is held constant. Ben (moi) complimented you
by assuming that you already knew that.>
I did, which is one of the reasons I posed those questions; to show
that many _experts_ disagree on the answers.
< The graph of a function will show the degree of the expression if you plot the function versus the variable in question. >
Unless "the degree" is different than "the slope of the straight
line"; you just emphasized the fact that your "a graph of x' vs either
x or t with other variables constant is a STRAIGHT LINE"
directly contradicts Dirk's "Equations don't have slopes."
glird
.
- References:
- Re: "Linear"
- From: Uncle Ben
- Re: "Linear"
- Prev by Date: Re: One pole, one tube, one barn.
- Next by Date: Re: De Sitter false premise in double star experiment
- Previous by thread: Re: "Linear"
- Next by thread: Re: Question about relativity
- Index(es):
Relevant Pages
|
