It makes me really appreciate the Founders of the US. There were so many opportunities to turn this country into another Western Hemisphere dictatorship shithole and they didn't.

The irony being that the USA turned a lot of other countries into Western Hemisphere dictatorship shitholes. For example, Cuba, before Castro and his cronies 'liberated' it.

"Why should I buy a boat when I already have a car?"

2) Untrue: a 44kHz *sampling rate* has a 44/2=22kHz Nyquist cutoff. Frequencies f>22kHz Nyquist limit "wrap around" to f-22kHz difference frequencies.

No matter how much you repeat this, it's not true. Look it up in any textbook.

Also, your allegations about the DFT allowing a perfectly sharp cutoff aren't realistic. A perfectly sharp cutoff implies an infinitely steep transition between passband and stopband, and this can only be achieved with an infinite number of points in the DFT.

a 25kHz tone sampled at 44kHz results in a spurious, highly audible (25-44/2)=3kHz aliasing signal

As another poster already said, no, it would result in a 19 kHz tone.

And this tone would not be audible, let alone highly audible, because the A/D conversion filter blocks frequency content above half the sample rate very effectively. (Unless you're using broken converters.)

Because "communism" is what people commonly associate with "enemy" in much of the Western world.

This particular association seems far more prevalent in the USA than anywhere else.

Actually, "Panzer" is the German word for "tank"; in fact, it is the best translation in this context.

You are advocating not questioning the cultural habits of your time and society, instead you seem to think it's alright for people to follow them blindly.

Besides, Lovecraft's merits are less literary than due to his wild imagination and his ability to let it flow.

At this point, I am fairly certain nothing will ever make Apple blush.

Your post and your sig do not rhyme, my friend.

Actually, that applies to both of them.

I guess most of us know what redundancy in this context is intended to convey, UK or not.

It's still a nice example of saying the opposite of what you mean because the convolutions of politically correct newspeak went over your head.

Don't you think it's a bit naive to rely on a company's promotional material to give you a true picture of their environmental impact and efforts?

Do you really believe facebook limits tracking via the "like" button to registered users?

From the original post in question:

... a lot of effort was put into highly optimized bresenham line algorithms, because traditional implementations implied a div operation per pixel, ...

Which is worded poorly enough to be taken to mean, "traditional bresenham implementations require a division operation at each pixel".

I also posit that the quoted post is wrong about the division instruction: DIV still takes a lot of cycles to execute*, that's just the nature of the maths involved. Of course modern processors will try to do some clever code reordering that may make slow instructions appear to be executing a lot quicker, but the instruction dependency chain does not always afford this opportunity.

* cf for example http://www.agner.org/optimize/instruction_tables.pdf

Similarly, in the vernacular:

mieren neuken (dutch) - to fuck ants
Korinthen kacken (german) - to shit raisins