- To: mathgroup at smc.vnet.net
- Subject: [mg101067] Re: [mg101045] Ansatz?
- From: János Löbb <janos.lobb at yale.edu>
- Date: Tue, 23 Jun 2009 07:05:12 -0400 (EDT)
- References: <200906220823.EAA09284@smc.vnet.net>
On Jun 22, 2009, at 4:23 AM, AES wrote:
> 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
> a calculation.
> The "underlying theory or principles" in my interpretation can be
> perfectly clear, and no "Conjectures" or "Hypotheses" need be
> One is simply setting up the calculation using this ansatz, in order
> calculate certain consequences or numerical results (a calculation
> 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.)
Although I forgot almost all German I ever learned, it still looks to
me that "Ansatz" == "Beginning" :)
So looks to me an "ansatz" is created when a mathematician, or any
other human being, hits his/her stomach and belches out something
formulated into words.
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- From: AES <email@example.com>