bjb568

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Discussion on answer by Tim: If you d…

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bjb568

May 27, 2020 20:06

I improvise and think in movable Solfège or scale degrees more than I do intervals.

Charcoal HQ

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bjb568

Mar 26, 2020 14:45

@tripleee thanks.

bjb568

Mar 26, 2020 10:23

can i haz metasmoke login?

Discussion on question by Alec.: A co…

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bjb568

Jan 27, 2019 19:12

Any reason why your properties and method are capitalized?

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bjb568

Oct 12, 2018 09:34

I guess I should just write out an example where this is the case then, thanks.

bjb568

Oct 12, 2018 09:34

well, if the union is also like [a, b), b - a is rational.

bjb568

Oct 12, 2018 09:32

If I'm trying to show that on the rational numbers, trying to get a measure based on µ([a, b)) = b - a will not be countably additive, is it sufficient to say that a sequence of disjoint subsets can have their measure sum to an irrational, while their union could have rational measure, which is a contradiction?

bjb568

Aug 30, 2018 03:29

I think I learned in class that uniform continuity is the condition.

bjb568

Aug 30, 2018 03:27

oh, if it's just a continuous function with a continuous extension, then f(x)=x should qualify, right?

bjb568

Aug 30, 2018 03:22

1/|x - sqrt(2)|, right?

bjb568

Aug 30, 2018 03:21

My head was the real dense thing in this case.

bjb568

Aug 30, 2018 03:19

Oooh, I got it, thanks.

bjb568

Aug 30, 2018 03:08

So at least that makes it harder.

bjb568

Aug 30, 2018 03:08

But it seems like the issue is that ℚ is dense in ℝ.

bjb568

Aug 30, 2018 03:05

1/|x|?

bjb568

Aug 30, 2018 02:54

Wait, maybe, lemme think.

bjb568

Aug 30, 2018 02:48

No?

bjb568

Aug 30, 2018 02:38

Is there a continuous function ℚ → ℝ that doesn't have a continuous extension ℝ → ℝ?

bjb568

Jan 23, 2017 03:22

Latin is weird.

bjb568

Jan 23, 2017 03:22

TIL my nose is a wave.

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bjb568

Aug 13, 2018 02:50

I've noticed that often times the predominant (usually root position subdominant chord with sixth scale degree in the top voice placed on the down beat) is emphasized and used as an arriving point even more than the tonic chord, is there any name for this or something written about it?