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Article #4745Re: graphical humping terminology
From: John C. Baez
Date: Wed, 11 Nov 1992 20:23
Date: Wed, 11 Nov 1992 20:23
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In article <1992Nov11.063332.22820@galois.mit.edu> jbaez@riesz.mit.edu (John C. Baez) writes: >Gaussians are very useful but pretending that every >molehill or mountain is a Gaussian can lead to lots of errors - so it's >good that mathematicians have a technical term for the kind of function >you are referring to. It's called a "bump function", or "bump". The "bump functions" mathematicians use are usually C_0^\infty, that is, infinitely differentiable and compactly supported. If for some reason one wants to reserve the term bump for C_0^\infty functions, one could call more general functions "lumps" or "humps". It might be nice to have all 3 of these become technical terms. Thm. The product of two lumps is a hump. etc. would be fun to see.
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Newsgroups: sci.physics,sci.math Path: arc1-ca.pugleaf.net!sparky!uunet!snorkelwacker.mit.edu!galois!riesz!jbaez From: jbaez@riesz.mit.edu (John C. Baez) Subject: Re: graphical humping terminology Message-ID: <1992Nov11.202318.28554@galois.mit.edu> Sender: news@galois.mit.edu Nntp-Posting-Host: riesz Organization: MIT Department of Mathematics, Cambridge, MA References: <ETHANB.92Nov9155340@ptolemy.astro.washington.edu> <1992Nov10.190554.11097@sfu.ca> <1992Nov11.063332.22820@galois.mit.edu> Date: Wed, 11 Nov 92 20:23:18 GMT Lines: 17