How cute, care to give the fundational definition from set theory? I doubt you know it but humor me!

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- 09-17-2016, 02:06 PM #1

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## Functions

To the reader: There are members on this forum who insist on spamming my threads with ignorant and/irrelevant comments. Please read my ignore list before continuing..

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Since some on this forum seem unfamiliar with the concept of function (especially as regards the derivative) I thought I'd provide a direct reference link for those new to the subject.

**FUNCTION**

(It is with a view to helping John Gabriel understand the role of curvature, who at present seems to be only vaguely familiar with the concept of a straight line, but can (almost) calculate the**slope**correctly ...

However, the reader may need to refer first to the**equation of a straight line**....

The correct slope is given by

where m = 0.

(John Gabriel's red line is too long and in the wrong vertical position because of m)

One then takes the limit on n->0 for the linear derivative:

,

which eliminates (i.e. makes insignificant) higher orders of f(x) (i.e., curvature) when n gets small enough for an arbitrary function f(x) at an arbitrary position x ; i.e., (x, f(x)) = (x, y(x)) ..Last edited by BuleriaChk; 09-20-2016 at 12:15 AM.

_______________________________________

"Flamenco Chuck" Keyser

The Relativistic Unit Circle**03/28/2017 07:40 AM PST**

Proof of Fermat's Last Theorem Updates**03/19/2017 8:23 PM PST**

**Ignore List -The Peanut Gallery.**

- 09-19-2016, 11:54 PM #2

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## Re: Functions

How cute, care to give the fundational definition from set theory? I doubt you know it but humor me!

- 09-20-2016, 12:14 AM #3

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## Re: Functions

Last edited by BuleriaChk; 09-20-2016 at 12:16 AM.

_______________________________________

"Flamenco Chuck" Keyser

The Relativistic Unit Circle**03/28/2017 07:40 AM PST**

Proof of Fermat's Last Theorem Updates**03/19/2017 8:23 PM PST**

**Ignore List -The Peanut Gallery.**

- 09-20-2016, 12:21 AM #4

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- 09-20-2016, 12:39 AM #5

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_______________________________________

"Flamenco Chuck" Keyser

The Relativistic Unit Circle**03/28/2017 07:40 AM PST**

Proof of Fermat's Last Theorem Updates**03/19/2017 8:23 PM PST**

**Ignore List -The Peanut Gallery.**

- 09-20-2016, 12:46 AM #6
## Re: Functions

A necessity of Science is Challenging ideas.

--Inter Arma Enim Silent Leges--

“Science needs the light of free expression to flourish. It depends on the fearless questioning of authority, and the open exchange of ideas.” ― Neil deGrasse Tyson

"When photons interact with electrons, they are interacting with the charge around a "bare" mass, and thus the interaction is electromagnetic, hence light. This light slows the photon down." - BuleriaChk

- 09-20-2016, 12:50 AM #7

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## Re: Functions

"Flamenco Chuck" Keyser

The Relativistic Unit Circle**03/28/2017 07:40 AM PST**

Proof of Fermat's Last Theorem Updates**03/19/2017 8:23 PM PST**

**Ignore List -The Peanut Gallery.**

- 09-20-2016, 12:52 AM #8
## Re: Functions

Instead of declaring it 'buzzwords,' it might be more productive to Meet The Challenge.

This is not a University, it is a Forum for the Free Exchange of Ideas.--Inter Arma Enim Silent Leges--

“Science needs the light of free expression to flourish. It depends on the fearless questioning of authority, and the open exchange of ideas.” ― Neil deGrasse Tyson

"When photons interact with electrons, they are interacting with the charge around a "bare" mass, and thus the interaction is electromagnetic, hence light. This light slows the photon down." - BuleriaChk

- 09-20-2016, 12:53 AM #9

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## Re: Functions

Not with irrelevant buzzwords and intellectual spam from

**nasty**idiots.

For my threads intellectual discussion and response from me requires not only intelligence, but courtesy, responsibility, and relevance. Naked Emperor's posts (and many of yours) are merely insults, buzzwords, misguided appeals to authority and irrelevant spam not worthy of a response.

Others can clatter around in their own echo chambers on my threads - I have no control over that, but I will not contribute to their silly and unpleasant noise. We all come from different backgrounds and expertise; in particular, personal invective may be entertaining to you, but it is not to me.

And this diversion is not relevant to this thread. Stop spamming it.Last edited by BuleriaChk; 09-20-2016 at 01:06 AM.

"Flamenco Chuck" Keyser

The Relativistic Unit Circle**03/28/2017 07:40 AM PST**

Proof of Fermat's Last Theorem Updates**03/19/2017 8:23 PM PST**

**Ignore List -The Peanut Gallery.**

- 09-20-2016, 04:07 AM #10

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