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

You are not logged in.

#1 2014-11-18 09:12:00

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,664

First Digits Rule (Benford's Law)

A new page, on "Benford's Law": First Digits Rule

What do you think?


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

#2 2014-11-18 10:13:56

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: First Digits Rule (Benford's Law)

Hi MIF;

Very good!

It is sometimes called the logarithmic law. The legend is that Benford an astronomer first noticed the law when he noticed that in old books of tables the list beginning with one were the most faded. As if they were the most used.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#3 2014-11-18 12:26:22

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,664

Re: First Digits Rule (Benford's Law)

Yes I heard that one too, and find it a fascinating example of how some people can notice things and go on to discoveries. But trying to explain what a log table is seemed a little hard for this page.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

#4 2014-11-18 14:29:12

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: First Digits Rule (Benford's Law)

Hi;

I agree, I think it was an amazing deduction, one of the best ever.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

#5 2014-11-18 14:30:57

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,297

Re: First Digits Rule (Benford's Law)

Hi MathsIsFun,

Excellent page!

With the common logartthms, the number of digits can be found in simpe way.

I often used this to compute the number of digits of operations like

with powers of elementary numbers.

Further, knowledge of the units digit is of paramount importance. Sum and product in Vedic Mathematics can led to interesting and important results.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#6 2014-11-18 14:40:12

ShivamS
Member
Registered: 2011-02-07
Posts: 3,648

Re: First Digits Rule (Benford's Law)

It looks great!

Offline

#7 2014-11-18 18:23:02

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,664

Re: First Digits Rule (Benford's Law)

Thanks Guys!


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

#8 2014-11-19 09:17:33

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,664

Re: First Digits Rule (Benford's Law)

I decided to add a section on the worn logarithm book, and found that Simon Newcomb actually discovered that!

See my revised version (use refresh): First Digits Rule


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

#9 2014-11-19 10:20:26

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: First Digits Rule (Benford's Law)

Hi;

Sorry, I thought it was Benford. Never trust an old guy's memory.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

Board footer

Powered by FluxBB