DOMAINS
y = f(x)

From: f

Greetings Candidates!

k writes:

Relativism is a both sharp and heavy double-edged implement, and one that's ***domain*** of applicability needs to be examined carefully.

Whether the food before you is raw or cooked may depend on the time and place at, and the agent by whom it is served; the result of a repeatable experiment designed to test a falsifiable hypothesis does not.

Thank you Keith!
For pointing me in a direction I had long since forgot.

To :)quote:) from a very *science*tific text
(Calculus and Analytic Geometry, J. A. Tierney, 1968)
From page 24

IF D and R are sets of real numbers,
the function is called a real-valued function of a real variable,
and it is such functions with which we concern ourselves.

D is called the domain of the function and
R is called the range of the function.

Let f be a function,
x an arbitrary element of the domain D of f,
and y the element of R which f associates with x
Then we write

y = f(x)

read as y equals f of x.

This notation is due to the Swiss mathematician Leonard Euler (1707-1783), a textbook writer as well as a brilliant mathematician of first rank. It is a tribute to Euler that his notation for a function has persisted to this day.

However, his notation is slightly misleading because it implies that y is the function, whereas the function is actually the correspondence f while y=f(x) is the functional value corresponding to x.
We say that f(x) denotes the value of f at x.

A function f is also called a mapping or transformation of the set D onto the set R.

Definition: A function f is a set of ordered pairs (x, y) such that no two distinct pairs have the same first element x.

Beautiful, is it not??

Relativism's (snip) domain of applicability needs to be examined carefully.

Damn, we're back at/to Euler again!
But at least NOW we have a MAP!

Anybody out there read maps????

h writes:

k, S, do either of you have any suggestions for a two-move game which would juxtapose a mathematical or scientific formula or equation with an idea or quote from the arts or humanities? Anyone? Or does anyone have any proposals for a two-move game linking an image with a quote or text? Or a piece of music and a text?

Back to cooking up more HTML appetizers:)