Showing posts with label differential geometry. Show all posts
Showing posts with label differential geometry. Show all posts

Sunday, June 17, 2018

Ex-Word of the Day: Toplinear


In her diligent book of epistemology, Evidence and Inquiry (1993), Susan Haack steers her bark between the twin cliffs of Foundationalism and Coherentism, before christening her own proposed juste milieu with the,  alas, ungainly name of :

Foundherentism

There was something comical about the coinage which I could not quite put my finger on.

Then this morning, happening to dip into one of Serge Lang’s textbooks on Differential Geometry, discussing topological vector spaces[**], I re-encountered his own stillborn coinage:

“… a Toplinear isomorphism, referring to the topology  and the linearity”

It is gauche in much the same way.

Neither term has much caught on, outside the readership-circle of its coiner.


[**  A TVS is a uniform structure on a linear space.]

Friday, June 15, 2018

A Dactylic Pentamer ad Differential Forms



Thése are the thíngs which occúr under íntegral sígns.”
-- Bárret O’Néill, Elementary Differential Geometry

[Note:  The author’s name is prosodically a choriamb.]

[Note:  In an alternative terminology, a quantity at home beneath the integral sign  is called a density.  --  Density  is itself a dactyl.]