Gauss
-
Posts
37 -
Joined
-
Last visited
Content Type
Profiles
Forums
Events
Posts posted by Gauss
-
-
Evolution is the study of: Life gradually developing from the simple to the more complex.
Chaos Theory is the study of: The behaviour of certain nonlinear dynamical systems and deterministic systems.
Geography is the study of: The earth's physical featues, resources, climate and its population.
Physics is the study of: The properties and interactions of matter and energy.
Bio genetics is the study of: Living organisms and their genes.
0 -
No if's No but's I want to live forever
0 -
Dear Dave
Thanks for the reply, I had a thought that might be the case.
Regards
Gauss
0 -
Four points to consider
First point:
The proof simply states that x = 0.999... and the method used is smiliar to the one that is used to prove otherwise. The calculations are exact.
Second point:
Take another example:
x = 3 Eq(1)
10*x = 10 * 3 Eq(2)
Eq(2) - Eq(1)
9*x = 27
[math]x = \frac {27}{9}[/math]
x = 3
Third Point:
There is no reason whatsoever to use the formula for the sum of an infinite sequence in this case. I know the exact sum of:
[math]S = \frac{9}{10} + \frac{9}{10^2} + \frac{9}{10^3} + ...[/math]
Its [math]S = 0.\bar9[/math]
However I would use the sum of an infinite sequence in the following case:
[math]S_n = \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ... + \frac{1}{2^n} [/math]
Obviously, as [math]n \rightarrow \infty \mbox{\, } S_n \rightarrow 1[/math]
Fourth point:
This is the case for 2/9
x = 0.222... Eq (1)
10 * x = 10 * 0.222...
x+x+x+x+x+x+x+x+x+x = 0.222... +
0.222... +
0.222... +
0.222... +
0.222... +
0.222... +
0.222... +
0.222... +
0.222... +
0.222... Eq(2)
Eq (2) - Eq (1)
x+x+x+x+x+x+x+x+x = 0.222... +
0.222... +
0.222... +
0.222... +
0.222... +
0.222... +
0.222... +
0.222... +
0.222... Eq(2)
Since addition or multiplication is normally carried out from Right to Left and since this is an area of contention of what occurs or happens after the repeating dots (ellipses) then addition or multiplication in this instance is carried out from Left to Right.
9*x = 1.999...
[math]x = \frac {1.999...}{9}[/math]
[math]x = 0.222...}[/math]
0 -
Dear Dave
I have tried numerous times to use the latex code for Matrix and Align equations. When I use the command for matrix I get:
[math]\begin{matrix} w & x \\ annoyed & z \end{matrix}[/math]
and for align:
[math]\begin{align} w & x \\ annoyed & z \end{align}[/math]
As you can see the ampersand persists. I have read a few 'latex' manuals and tried various code combinations. Could you or someone else be able to provide some information to overcome this problem.
Regards
Gauss
0 -
x = 0.999... Eq (1)
10 * x = 10 * 0.999...
x+x+x+x+x+x+x+x+x+x = 0.999... +
0.999... +
0.999... +
0.999... +
0.999... +
0.999... +
0.999... +
0.999... +
0.999... +
0.999... Eq(2)
Eq (2) - Eq (1)
x+x+x+x+x+x+x+x+x = 0.999... +
0.999... +
0.999... +
0.999... +
0.999... +
0.999... +
0.999... +
0.999... +
0.999...
Since addition or multiplication is normally carried out from Right to Left and since this is an area of contention of what occurs or happens after the repeating dots (ellipses) then addition or multiplication in this instance is carried out from Left to Right.
9*x = 8.999...
[math]
x = \frac {8.999...}{9}
[/math]
[math]
x = 0.999...
[/math]
0 -
I believe what you meant to write was [math]0.\overline{0}1=\lim_{n\to\infty}10^{-n}[/math].
[math]0.\overline{0}1[/math] is another way of stating or trying to represent [math]\lim_{n\to\infty}10^{-n}[/math]. Which is just an identity equation or equivalence statement.
Dave's statement' date=' stated [math']0.\overline{0}1[/math] = 0
0 -
It's pretty obvious really.
[math]0.\overline{0}1 = \lim_{n\to\infty} 10^{-n} \sum_{i=1}^{n} 0\cdot 10^{-i} = 0[/math]
This equation is not correct. All you have done is constructed a statement and stated the LHS equals the RHS.
0 -
1.\bar0 does not equal 0.\bar9 they are two distinct different numbers.
[math]1.\bar 0[/math] does not equal [math]0.\bar 9[/math] they are two distinct different numbers.
0 -
Just to spoil the fun... it wasn't 0.999' date=' aeroguy. It was 0.99[u']9[/u], or 0.999~. That means 0.9999999999999999... and so on forever.
Theoretically, that does equal one.
1.\bar0 does not equal 0.\bar9 they are two distinct different numbers.
0
Can you do it in 20 words or less...
in Other Sciences
Posted
Evolution is the study of: Metamorphosis.
Chaos Theory is the study of: Nonlinear dynamical and deterministic systems.
Geography is the study of: Physical featues and resources.
Physics is the study of: Interactions between matter and energy.
Bio genetics is the study of: Genes in Living organisms.
Done "19 words"