. . . muttered the ogre

to save some integrating

Anton — Sat, 04 Sep 2010 10:22:32 +0000

For my own future reference, in case I lose the bit of paper on which I jotted it.

In a piecewise-polynomial function of period 2π, a step discontinuity D_j⁽ⁿ⁾ in the nth derivative at phase α_j contributes this to the Fourier series:

i D_j⁽ⁿ⁾ (iⁿ e^-ik(t-α_j) – (-i)ⁿ e^ik(t-α_j)) / (2πkⁿ⁺¹)

I haven’t the skill to prove this for general n, but then I’m unlikely to need it for n>2.

wiggly lines

Anton — Fri, 13 Aug 2010 20:15:51 +0000

A few people will recognize immediately how and why I did this.

so many misspellings, so little time

Anton — Tue, 10 Aug 2010 17:24:18 +0000

My Wikipedia watchlist grew beyond my ability to keep up with it, so I cut it back from 3082 to 1502.

neologism of the day

Anton — Tue, 10 Aug 2010 17:03:16 +0000

I don’t care to log in at Kos for one comment, so I’ll put it here.

Daily Kos writes:

What natural means isn’t specified. But I’m sure there’s an Tex-aytollah somewhere ready to let us know.

Allow me to suggest ayatexah. Besides letting the /t/ and the last /a/ do double duty, it preserves the tatpurusa structure of the original: an ayatollah is a something-or-other of God, an ayatexah is a something-or-other of Texas.

linky-stinky-dinky

Anton — Mon, 09 Aug 2010 05:14:34 +0000

Some channels will show any old rubbish.

Bon mot from Falkenblog:

It seems all great advice can be boiled down to one essential truth: Always–or is it never?–do X.

what’s in a label?

Anton — Sun, 25 Jul 2010 05:46:41 +0000

The whole political establishment has an interest in muddling the important difference between crony-capitalism and free markets. (I ought not to have taken so long to notice this.) The rhetorical tension is between those who say that an economy regulated for the benefit of the well-connected is too dangerously free, and those who in the name of “free markets” preach the sacred right of the well-connected to enjoy their pork in peace.

I won’t wear the “anarcho-capitalist” label anymore. The people whom I seek to persuade — i.e., almost everybody — associate capitalism too strongly with the meaning given to that word by Karl Marx and his successors, which is fair since they coined it (or so I gather); trying to rehabilitate it seems a waste of effort.

So, until I find a label I like better, I’m a market anarchist.

such a versatile template

Anton — Tue, 13 Jul 2010 03:29:47 +0000

When immigration is outlawed, only outlaws will immigrate.

catless

Anton — Sat, 10 Jul 2010 22:06:25 +0000

I think we tacitly imagined that Fluffie’s end would come while she slept contentedly on my lap. This week it became clear that that was not on the menu.

If cats could reminisce verbally about good old times, what would they say?

a sweet old lady

Anton — Thu, 08 Jul 2010 17:39:54 +0000

It appears that Fluffie is not long for the world.

hair update

Anton — Mon, 28 Jun 2010 05:55:56 +0000

In the third month after shaving, my hair started to show a distinct list to starboard. I wonder whether that would be the case if I had not parted it on the left for thirty years (until 1998).

(My eyelids always look like that.)