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Famous numbers

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Rigil Kent
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« on: July 27, 2012, 06:19:32 AM »

Nominal, cardinal or ordinal, several numbers are often instantly (or eventually) recognisable. So without peeking, who can identify the three below?

22/7

46664

149,597,870.7



Rigil

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st0nes
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« Reply #1 on: July 27, 2012, 06:43:33 AM »

Nominal, cardinal or ordinal, several numbers are often instantly (or eventually) recognisable. So without peeking, who can identify the three below?

22/7

46664

149,597,870.7



Rigil


Pi
Nelson Mandela's prison number
My bank balance
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Faerie
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« Reply #2 on: July 27, 2012, 07:37:25 AM »

My bank balance

Are you single?

 Grin

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st0nes
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« Reply #3 on: July 27, 2012, 07:56:09 AM »

My bank balance

Are you single?

 Grin


Unfortunately not.
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Mefiante
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« Reply #4 on: July 27, 2012, 08:17:16 AM »

The third number is the conversion from AU to km.

(They lied to you at school.  22/7 is not π.  It’s a rational approximation to π that already fails at the third decimal.  π is a transcendental number which means it has no finite expression involving only rationals and/or surds. A better rational approximation is 333/106.  An even better one is 103,993/33102.)

2.718281828459…

½ (1+√5)

7.29735×10–3

6.022×1023

0.577215664901…

299,792,458

As the man said, no peeking.

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bobilus
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« Reply #5 on: July 27, 2012, 14:49:20 PM »

Quote
2.718281828459…

½ (1+√5)

7.29735×10–3

6.022×1023

0.577215664901…

299,792,458

1. e^1

2. No idea

3. alpha, cant remember the name.

4. Avogadro constant

5. no clue.

6. Speed of light in vacuum (m/s)

Here is a few extra.

8.314

9.8066

6.62608 x 10-34

1.602177 x 10-19
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BoogieMonster
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« Reply #6 on: July 27, 2012, 15:08:21 PM »

Quote
½ (1+√5)

The golden ratio.

Wild guesses:

Quote
6.62608 x 10-34

mass of a neutrino...

Quote
1.602177 x 10-19

and electron? The second one rings a bell along those lines...
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brianvds
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« Reply #7 on: July 27, 2012, 17:25:40 PM »

Nominal, cardinal or ordinal, several numbers are often instantly (or eventually) recognisable. So without peeking, who can identify the three below?

22/7

Approximation of pi.

Quote
46664

Madiba.

Quote
149,597,870.7[/b]

Astronomical unit.

Well those are my guesses. Lemme scroll down and see if I was right. :-)

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Mefiante
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« Reply #8 on: July 27, 2012, 18:12:01 PM »

1. e^1

4. Avogadro constant

6. Speed of light in vacuum (m/s)
All correct. (No. 1. is the base of the natural, or Napierian, logarithm.)

2. No idea
BoogieMonster got that one right.  It’s the exact expression of the Golden Ratio, φ.

3. alpha, cant remember the name.
Yes, the symbol commonly used for this physical constant is α.  It’s the fine structure constant.

5. no clue.
A tricky one, this.  I won’t reveal it yet in case someone would like to guess.  (Hint:  It comes from number theory.  Its decimal and continued fraction expansions are both aperiodic but it is not known whether the number is algebraic or transcendental.)



8.314
That’s the gas constant (in SI units).

9.8066
The standard value of g (in SI units), the acceleration due to Earth’s gravitational field at mean sea level.

6.62608 x 10-34
Planck constant (in SI units), the basic unit of energy quanta in QM.

1.602177 x 10-19
Unit of electrical charge, Coulombs.

Two more, both around 4:

4.669201609…

4.186

'Luthon64
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Rigil Kent
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« Reply #9 on: July 27, 2012, 18:49:40 PM »


0.577215664901…
Is it the Riemann convergent thingy?


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Mefiante
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« Reply #10 on: July 27, 2012, 19:01:34 PM »

Well, it is the value to which a particular expression converges but Riemann is not associated with it.  Another very famous mathematician is.

'Luthon64
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bobilus
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« Reply #11 on: July 28, 2012, 01:47:17 AM »

4.186 - Heat capacity of water.
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Rigil Kent
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« Reply #12 on: July 28, 2012, 07:58:40 AM »

4.669201609… - The heat capacity of slightly more water ...    Cheesy
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Rigil Kent
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« Reply #13 on: July 28, 2012, 12:10:01 PM »

A few more from pop culture:

22

42

101

664


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brianvds
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« Reply #14 on: July 28, 2012, 14:48:38 PM »

A few more from pop culture:

22

Catch-

Quote
42

Answer to life, the universe and everything.

Quote
101

Dalmatians? (I have actually never seen the film, or read the book, assuming there was a book in the first place.

Quote
664[/b]

No idea. I'm not THAT clued up on pop culture. :-)
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