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#1 2006-09-22 18:15:21

ganesh
Moderator
Registered: 2005-06-28
Posts: 13,466

Transcendental Numbers

Whats so special about the TN
1.444667861..................?????? big_smile


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#2 2006-09-22 18:41:26

MathsIsFun
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Registered: 2005-01-21
Posts: 7,535

Re: Transcendental Numbers

Do a google search for "1.444667861", and look at the first result smile


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

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#3 2006-09-22 18:46:15

espeon
Real Member
Registered: 2006-02-05
Posts: 2,586

Re: Transcendental Numbers

whats a transcendantal number? also why is pi pi? i mean as in why is 1.something called pi whats so special about it?


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#4 2006-09-22 20:03:35

ganesh
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Registered: 2005-06-28
Posts: 13,466

Re: Transcendental Numbers

Transcendental Numbers are numbers that cannot be written using an equation.
Like x²+1=0.
If Google has a result for 1.444667861, I am happy. I shall search and then post.


Character is who you are when no one is looking.

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#5 2006-09-22 20:13:10

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: Transcendental Numbers

I hope it returns the same result for you that it did for me.


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

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#6 2006-09-22 20:17:23

espeon
Real Member
Registered: 2006-02-05
Posts: 2,586

Re: Transcendental Numbers

i dont get it still...


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#7 2006-09-22 20:32:17

ganesh
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Registered: 2005-06-28
Posts: 13,466

Re: Transcendental Numbers

Wow! We get back to MathsIsFun forum smile

espeon, you'd have to wait a little smile


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#8 2006-09-22 21:05:36

espeon
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Registered: 2006-02-05
Posts: 2,586

Re: Transcendental Numbers

Aw ok


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#9 2006-09-23 02:36:53

mikau
Member
Registered: 2005-08-22
Posts: 1,504

Re: Transcendental Numbers

A number that can't be written as an equation eh? Infatuating!


A logarithm is just a misspelled algorithm.

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#10 2006-09-23 03:48:34

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

Re: Transcendental Numbers

Can you prove it's transcendental?


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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#11 2006-09-23 04:02:02

Dross
Member
Registered: 2006-08-24
Posts: 325

Re: Transcendental Numbers

espeon wrote:

whats a transcendantal number? also why is pi pi? i mean as in why is 1.something called pi whats so special about it?

Pi is the ratio of a circle's diameter to it's circumference. So if you measured both of these on any given circle, you would find that:

circumference = pi * diameter.


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#12 2006-09-24 01:24:41

espeon
Real Member
Registered: 2006-02-05
Posts: 2,586

Re: Transcendental Numbers

pi is 1. 4 something ssomething and i don hve a clur what transcendental ismlol


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#13 2006-09-24 03:02:48

Dross
Member
Registered: 2006-08-24
Posts: 325

Re: Transcendental Numbers

Pi is 3.141592... (the digits go on for ever, and never repeat)

The numbers on the number line can be split onto two groups: those that are algebraic and those that are transcendental.

Algebraic numbers are a solution to a polynomial equation* where all the coefficients** are whole numbers. So, for example, the number 2 is algebraic, because it is the solution to the equation:

the number [sup]3[/sup]/[sub]2[/sub] is algebraic because it is the solution of:

and the square root of 2 is algebraic, as it is the solution of:

A transcendental number is any number that is not algebraic. As it happens, pi is transcendental.






* a polynomial equation is one like:

or

or

** in the above equations,

,
,
and
are the coefficients of the equation.


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#14 2006-09-24 04:18:43

espeon
Real Member
Registered: 2006-02-05
Posts: 2,586

Re: Transcendental Numbers

dont worry i guess ill learn it in key stage 4 or something


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#15 2006-09-25 18:36:53

luca-deltodesco
Member
Registered: 2006-05-05
Posts: 1,470

Re: Transcendental Numbers

espeon wrote:

dont worry i guess ill learn it in key stage 4 or something

doubt it, im moving onto A-Level maths, and ive never even heard of transcendental numbers before now tongue


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#16 2006-09-26 03:16:22

espeon
Real Member
Registered: 2006-02-05
Posts: 2,586

Re: Transcendental Numbers

o good luck in ur a lvls


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