Math Q&A Game

Jimmy Snyder

Quote by pwsnafu

I just came across this:

Let C be the Cantor set and [itex]E = C \times [0,1]^{k-1} \subset R^k[/itex]. Then E is uncountable with cardinality c and with Lebesgue measure zero. So there are 2^c subsets of E, each Lebesgue measurable.

This is close, but I am looking for subsets of the reals. So, set k to 1 and you have shown that lower limit is at least 2^c. Now just provide an upper limit.

LCKurtz

Quote by Jimmy Snyder

This is close, but I am looking for subsets of the reals. So, set k to 1 and you have shown that lower limit is at least 2^c. Now just provide an upper limit.

But isn't the cardinality of all subsets of the reals ##2^c##, so that is also an upper limit?

Jimmy Snyder

Quote by LCKurtz

But isn't the cardinality of all subsets of the reals ##2^c##, so that is also an upper limit?

Yes, you have solved it.

*godsaveme*

Topic:

Two birds in the tree, the hunter shot one.

Ask:

Only a few were left in the tree? Live or die?

You need to determine the answer

*DaveC426913*

Quote by godsaveme

Only a few were left in the tree? Live or die?

What??

Sorry, I cannot parse those sentence fragments.

*godsaveme*

Quote by DaveC426913

What??

Sorry, I cannot parse those sentence fragments.

I am a chinese,my english is poor.
That may be how many birds in the tree?

*godsaveme*

This is a certainty and uncertainty question!

*godsaveme*

How to determine?
The number of birds，live or die？

*godsaveme*

Can you help me to translate chinese into english?

Citan Uzuki

Zero. The other bird flew away.

Edit: Or maybe one, if the bullet didn't knock the first bird off the perch. In any case, the live bird is gone.

jgutierrez218

I don't think you can answer questions like that.

There are two birds to begin with, one is shot dead. 1 is left.

1 does not equal a few, as a few is generally equated to mean 5.

Citan Uzuki

Actually I can answer questions like that. Proof: I just did

I think the "a few" was just a translation failure on the part of our Chinese friend.

Jimmy Snyder

I heard this one before.
He: There were two birds in the yard and I shot one of them. How many were left in the yard?
She: One.
He: No, one. The one that I shot. The other one flew away.

Citan Uzuki

Okay, guess it's my turn to ask a new one.

What are all the continuous functions [itex]f:\mathbb{C} \rightarrow \mathbb{C}[/itex] such that [itex]\forall z,w\in \mathbb{C},\ f(z+w) = f(z)f(w)[/itex]? Does the answer change if continuous is replaced with measurable?

*DaveC426913*

Quote by jgutierrez218

...a few is generally equated to mean 5.

What?? Where did you get this?

For me, "a few" is three or more.

Jimmy Snyder

2 is a couple. 3 is a crowd. 3 to 7 is a few. 5 to 10 is some. 8 to 15 is several. 15 to 37 is a bunch or if it is something you don't like, then it's many, or even too many if you really don't like it. 30 - 100 is a profusion. 100 - 1000 is a multitude. More than that is a plethora or a surfeit.

Mandlebra

Quote by Jimmy Snyder

2 is a couple. 3 is a crowd. 3 to 7 is a few. 5 to 10 is some. 8 to 15 is several. 15 to 37 is a bunch or if it is something you don't like, then it's many, or even too many if you really don't like it. 30 - 100 is a profusion. 100 - 1000 is a multitude. More than that is a plethora or a surfeit.

Oh yes, so often do I ask for a crowd of things.

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godsaveme	Topic: Two birds in the tree, the hunter shot one. Ask: Only a few were left in the tree? Live or die? You need to determine the answer

Citan Uzuki	Zero. The other bird flew away. Edit: Or maybe one, if the bullet didn't knock the first bird off the perch. In any case, the live bird is gone.

jgutierrez218	I don't think you can answer questions like that. There are two birds to begin with, one is shot dead. 1 is left. 1 does not equal a few, as a few is generally equated to mean 5.

Jimmy Snyder Blog Entries: 1 Recognitions: Gold Member	I heard this one before. He: There were two birds in the yard and I shot one of them. How many were left in the yard? She: One. He: No, one. The one that I shot. The other one flew away.