Website activity diary 2017
Another quiet year, focus derailed by emotional turmoil. I did at least
(eventually) work out how to configure
ssh correctly to restore
communication between my public web server and the version-controlled source
repository in which I prepare what I write. Aside from a plethora of tiny typo
fixes and kindred tidy-ups, along with minor additions to
my time-line and pages on
the scale of things, here's what git
log tells me I got up to:
Modular doodles I
poked around my beginnings at a treatment of modules over a ringlet, notably
adding consideration of anti-linearity for compledified ringlets.
The Hilbert space formalisation of
Quantum Mechanics I wrote a little more, mostly about the algebraic
formalism it requires, barely touching the actual physics.
Altruism and evolution I
added some minor observations on the evolutionary benefits of altruism.
The three centres of a
triangle Another classic piece of Euclidean geometry.
triangles A rough account of one of the most basic pieces of
Euclidean geometry, including the relationships between circles and triangles
inscribed within them.
polygons A look at a difference of two squares reveals a way to
construct, for any polygon, a square with the same area.
proofs I separated out most of the proofs from
general discussion of
Pythagoras's theorem, keeping just my own proof on that page and elaborating on
it. Equilateral triangles and
related rectangles The box in which corner angle trisectors bounce
around particularly neatly.
Refining Life My
implementation of Conway's game of that name, to be specific; the controls are a
little more helpful now, in a few minor ways.
Rational physics Some
stray thoughts on how theories of physics might use rational numbers, and
rounding within them, to model some of what we see in physics.
arithmetic More thoughts on the relation between ordering and
Cauchy limits A
partial treatment of convergence.
A ringlet modulo an
ideal Made a start on studying one of the details I skipped over in
my earlier treatment of my adaptation of ring theory. In
arithmetic cycles are
an example of this. Complexifying a
ringlet via polynomials A second way to get at the complex numbers,
for a general ringlet; polynomials modulo power(2) +power(0).
2016, 2011–2015, 2010, 2009, 2008, 2007, 2006.
Written by Eddy.