- To: mathgroup at smc.vnet.net
- Subject: [mg101045] Ansatz?
- From: AES <siegman at stanford.edu>
- Date: Mon, 22 Jun 2009 04:23:03 -0400 (EDT)
- Organization: Stanford University
Wolfram MathWorld says:
An ansatz is an assumed form for a mathematical statement
that is not based on any underlying theory or principle.
SEE ALSO: Conjecture, Hypothesis, Principle, Proposition
Somewhere I've picked up the idea that "ansatz" can also be used to
indicate the "form" or the "approach" -- more specifically, something
like the choice of coordinates and variables and equations -- the
"geometry and notation" so to speak -- in which one sets up a problem or
The "underlying theory or principles" in my interpretation can be
perfectly clear, and no "Conjectures" or "Hypotheses" need be involved.
One is simply setting up the calculation using this ansatz, in order to
calculate certain consequences or numerical results (a calculation which
one, of course, carries out using Mathematica).
Is my interpretation of this term off the mark? (Wikipedia's
explanation of the term seems to me considerably closer to my
understanding than to Wolfram's definition.)
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