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Topic: Brainstorming about STEM (was About Functions)
Replies: 49   Last Post: Jan 13, 2012 2:37 PM

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Dan Christensen

Posts: 86
Registered: 4/13/07
Re: Brainstorming about STEM (was About Functions)
Posted: Dec 12, 2011 1:10 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Using another kind of computer-like language, DC Proof, we can represent a function f mapping set A to set B as follows:

ALL(x):[x in A => f(x) in B] (replace "in" by epsilon)

In words: For all x, if x is an element of A, then f(x) is an element B.

This simple notation completely characterizes all functions of 1 variable.

In the tutorial included with my program is a worked example (#6) illustrating the composition of functions, e.g. f(g(x)), along with suitable exercises with hints and full solutions.

Dan
Download my DC Proof 2.0 freeware at http://www.dcproof.com


Date Subject Author
12/11/11
Read Brainstorming about STEM (was About Functions)
kirby urner
12/12/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/12/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/12/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/13/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/15/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/16/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/16/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/16/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/16/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/17/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/17/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/17/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/18/11
Read Re: Brainstorming about STEM (was About Functions)
Wayne Bishop
12/18/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/18/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/23/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/23/11
Read Re: Brainstorming about STEM (was About Functions)
Wayne Bishop
12/24/11
Read Re: Brainstorming about STEM (was About Functions)
Louis Talman
12/23/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/23/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/23/11
Read Re: Brainstorming about STEM (was About Functions)
Wayne Bishop
12/24/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/24/11
Read Re: Brainstorming about STEM (was About Functions)
Wayne Bishop
12/24/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/24/11
Read Re: Brainstorming about STEM (was About Functions)
kirby urner
12/24/11
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
12/24/11
Read Re: Brainstorming about STEM (was About Functions)
Wayne Bishop
12/24/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/25/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
12/25/11
Read Re: Brainstorming about STEM (was About Functions)
Dan Christensen
1/13/12
Read Re: Brainstorming about STEM (was About Functions)
Joe Niederberger
1/13/12
Read Re: Brainstorming about STEM (was About Functions)
kirby urner

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