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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#201 Re: Help Me ! » Permutations » 2014-12-30 23:31:45

Why not? I know many people who play, so I might want to play against them. Not for money, of course.

#202 Re: Help Me ! » Permutations » 2014-12-30 23:01:13

That seems very tedious.

So, what do we need to know to be good at p?

#203 Re: Help Me ! » Permutations » 2014-12-30 22:20:13

So, what happens when. Have a straight in hearts and you have a straight in clubs with the same values?

#205 Re: Dark Discussions at Cafe Infinity » Have a look » 2014-12-30 11:27:05

Agnishom wrote:

Definitions
1. The first letter of this word is P.
2. The second letter of this word is O.
3. The third letter of this word is K.
4. The fourth letter of this word is E.
5. The fifth letter of this word is R.

Theorem: you cannot post the word.

Yes, I remember establishing that when I tried to post it in This or that. We thought the forum was trying to ban me. dizzy

#206 Re: Help Me ! » difference of zero, circle and alphabet O » 2014-12-17 00:02:57

Agnishom wrote:

According to your definition, the zero sphere is in R.

I'd rather have the zero sphere to be the trivial sphere {0} in {0} and 1-sphere in R.

Well, I guess you'll have to readjust to this definition. It makes more sense when you look at it this way: The 1-sphere is a curved line with only 1 "dimension". The 2-sphere is a surface with 2 "dimensions".

#207 Re: Help Me ! » difference of zero, circle and alphabet O » 2014-12-16 12:42:11

But if the 0-sphere is in a space of dimension 1, then shouldn't an n-sphere be in a space of dimension n+1?

#208 Re: Help Me ! » difference of zero, circle and alphabet O » 2014-12-16 07:48:05

bob bundy wrote:

That's a mighty fine geogebra demonstration Agnishom.  I am well impressed!

Stefy wrote:

An n-sphere is the set of all points in n+1 dimensional space

So a 1-sphere is in 2-D space.  smile

Bob

Yes.

#209 Re: Help Me ! » difference of zero, circle and alphabet O » 2014-12-16 05:09:03

Because there are no non-trivial circles in the trivial space {0}.

#210 Re: Help Me ! » difference of zero, circle and alphabet O » 2014-12-16 04:50:16

I don't think there exists a notion of an n-point.

An n-sphere is the set of all points in n+1 dimensional space with a defined measure for which the distance from 0 is equal.

#212 Re: Help Me ! » difference of zero, circle and alphabet O » 2014-12-15 11:59:38

Sorry, confused it with the nomenclature 1-circle.

Also, if looked at as a vector space with the operation being multiplication, it really is a 1-dimensional space.

#213 Re: Help Me ! » difference of zero, circle and alphabet O » 2014-12-15 10:43:39

bob bundy wrote:

Sorry to be picky, but a soft rubber ball is 3 dimensional and his shapes are 2-D.  Have you got a 2-D soft rubber ball by any chance ?

Bob

Sorry to be picky, but his shapes are 1-D smile

#214 Re: Maths Teaching Resources » Great Math apps. » 2014-12-15 01:47:11

DeanPemberton wrote:

Math is a subject that is totally based on formulas there are thousands of formulas used in maths, it is not possible to remember all of those formulas you can take help from some apps like Math formulas and Physics formulas.

I don't exactly agree with that. I think it's more about ideas than exact formulas.

#215 Re: Help Me ! » difference of zero, circle and alphabet O » 2014-12-15 01:40:47

bob bundy wrote:

'cardinality' is fine, but I think it limits you to {counting numbers}.  Number theory is for {reals}

But either definition is good.  Can you prove that each implies the other ?

Bob

You can construct it both ways and it would be the same (up to an isomorphism smile).

Also, zero isn't defined as the cardinality of {}. It's defined as the empty set itself.

#216 Re: Euler Avenue » Dvorak » 2014-12-12 15:17:46

Well, this guys name is August. smile

#217 Re: Help Me ! » help me please and fast » 2014-12-09 07:17:32

I think it needs to satisfy both.

#218 Re: Euler Avenue » Teach David » 2014-12-08 03:23:23

Agnishom wrote:
anonimnystefy wrote:

It's a circle, but the inside is not fully collored.

What is the point?

point
n.
1. A sharp or tapered end: the point of a knife; the point of the antenna; EDIT: the point of the head.

Is this what you mean?

#219 Re: Euler Avenue » Teach David » 2014-12-08 03:20:38

bobbym wrote:

One by one? So that is where I have been going wrong.

Not literally. Maybe a phrase would be inside out.

#220 Re: Euler Avenue » Teach David » 2014-12-08 03:15:26

Commands are actually not that hard to read, as long as you go one by one and figure out what every bit does.

#221 Re: Euler Avenue » Teach David » 2014-12-08 03:12:33

It's a circle, but the inside is not fully collored.

#222 Re: Help Me ! » Differentiation » 2014-12-06 05:32:06

Have you tried using the rules of differentiation?

#223 Re: Euler Avenue » What had you learned today that you found interesting? » 2014-12-05 13:23:51

I've learned that there is a very interesting and somewhat natural measure of graph connectedness which also has some nice algebraic properties.

Also, I'm looking to better myself in the study of non-standard analysis, so I've been learning about that a bit too.

#224 Re: Help Me ! » Irrational roots » 2014-12-05 13:00:50

No problemo. Did you do the other one?

#225 Re: Euler Avenue » What had you learned today that you found interesting? » 2014-12-02 06:41:24

Today I learned that you can very effectively use linear algebra to solve some combinatorics problems.

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