You are not logged in.
This Must make a really good T-Shirt aswell......
( 0.9 Infinite "Definition......" ) <> 1 )
( 0.9 Recurring "Definition.." ) <> 1 )
I thought I made it Clear!
V1 = 0.99999999999999999999999999999999..Infinite.0.9...." = The 0.9 Value from the Start Onwards! "
V2 = 0.00000000000000000000000000000000..Infinite.0.1...." = The < 1 Value from the Start Onwards! "
V1 = Infinite 0.9
V2 = The Infinite Difference
No Matter how Long V1 is! V2 will always be the same Length!
Because V1 starts as 0.9 and Because V2 starts as 0.1 The Difference will always be the same!
To George,Y
Quote: " I suggest you to read #59 to #63, and #107 "
Very Good George!!
A.R.B
INFINITE 0.9 <> 1 PROOF : CONCLUSION By,Anthony.R.Brown,06/02/07.
----------------------------------------------------------------------------------------------------------------
After all the Thoughts! and Arguments! the Solution is really Quite Simple!
V1 = 0.9999999999...." = The 0.9 Value from the Start Onwards! "
V2 = 0.0000000001...." = The < 1 Value from the Start Onwards! "
(a) The Above will always be True! as Calculated in the Equation Below
( V1 + V2 ) = 1
(b) There will always be Two Values from the Start Onwards
(c) Neither of the Individual Values will ever Equal 1
(d) There will always be an Infinite Difference ( V1 <> V2 )
To kylekatarn
Quote:
"butt his way you never, never, ever reach 0.(9) = 0.999999999..(inf. # of 9's)"
A.R.B
We don't need to try and reach an end! we have the Number 1 for That!
I am quite happy to know there is a Number Infinitely smaller than 1
Now! I see everyone is starting to understand what I and others have been saying!
" IF TWO NUMBERS START WITH A DIFFERENCE IN THEIR VALUES! AND BOTH ARE MULTIPLIED BY THE SAME AMOUNT! ONE VALUE WILL ALWAYS BE GREATER THAN THE OTHER!! "
A.R.B
( 0.9r "Definition" ) <> 1 ) "Now that,s Beautiful!"
Can others please put forward their Definition of "Recurring"
A.R.B
INFINITE 0.9 <> 1 PROOF By,Anthony.R.Brown,02/02/07.
----------------------------------------------------------------------------------------------------------------
( 1.1 ) x 0.9 = 0.99 " One Decimal Place = " 0.1 < 1
( 1.11 ) x 0.9 = 0.999 " Two Decimal Place's = " 0.1 < 1
( 1.111 ) x 0.9 = 0.9999 " Three Decimal Place's = " 0.1 < 1
( 1 / 0.9 ) x 0.9 = 0.9..... " Infinite Decimal Place's = " 0.1 < 1 "
The 0.1 Difference Above is Permanent! Because it is an Infinite Difference!!
----------------------------------------------------------------------------------------------------------------
To Back up my Proof above! I would like to Make an Immortal Quote:
" IF TWO NUMBERS START WITH A DIFFERENCE IN THEIR VALUES! AND BOTH ARE MULTIPLIED BY THE SAME AMOUNT! ONE VALUE WILL ALWAYS BE GREATER THAN THE OTHER!! "
What no one has done is make! (B1 x C) = (A1 x C) in a Single Calculation!
Because A1 is! and equals 1 and B1 is! and equals 0.9
B1 will always have the 0.1 missing!!
A.R.B
A1 + "The 0.1 I put on the side at the beginning "
This is not an additional "Add" this is putting something back! from where it came from!
Two Proof's in One Post! What more could one ask for!!
( 0.9 Infinite "Definition" ) <> 1 ) ( 0.9 Recurring "Definition" ) <> 1 )
Everyone must know it's possible to make any Number = 1 as with their examples above!!
N1 = 0.12345612312 N2 = N1/N1 "N2 Now equals 1"
A1 + "The 0.1 I put on the side at the beginning "
This is the Original 0.1 not Another 0.1 from somewhere else!
( 0.9r "Definition" ) <> 1 ) "Now that,s Beautiful!"
A.R.B
To Patric
Anthony.R.Brown wrote:
It's the same as me Saying N1 = 5 N2 = 4 "Now make N2 = N1" N3 = N1 / N1
Result = N2 = N3 x N1
N1 = 5
N2 = 4
"Now make N2 = N1"
N3 = N1 / N1 "N3 NOW EQUALS 1"
Result = N2 = N3 x N1 " NOW 1 x 5 = 5 " "SO NOW N2 = N1"
NOW I WILL SILENCE EVERYONE!
-------------------------------------------------------------------------------------------------------------------------------------
I have been waiting to Post the following Post for some time Now! I can wait any Longer!!
Maybe I was hoping someone would put forward Something Amazing! But Deep down I always knew my Proof would stand the test of Time!
A1 - 01 "A1 now equals 0.9" "I am going to put the remaining 0.1 on the side,and come back to it later!"
A1 x C "This now equals Infinite 0.999.." "Hands up everyone who thinks this will now equal 1" " yes that,s you! and you! and every other person who doubts this Proof!"
Now I will do something! that an Accountant would be proud of! (if it was allowed)
A1 + "The 0.1 I put on the side at the beginning "
Some how The original A1 = 1 has become 1.1 and yet at no time was 0.1 ever Add to A1
Can you imagine every Money Investment House doing this to every 0.9 they find within their Customers Accounts!
Someone would be making an Enormous amount of Money!!
But Unfortunately for the Investment Houses it would be illegal! Because the Math don't Add up! "You cant turn a Number that starts as 0.9 into 1 without someone Noticing!
QUOTE:
0.9999... = B2
= B1 x C
= B1 x (A1 / B1)
= (B1 / B1) x A1
= 1 x A1
= A1
= 1
A.R.B
All that is happening in the above Calculation! is! Infinite 0.9 is being Made to = 1 by Adding the Difference of 0.1 in a round about way!
It's the same as me Saying N1 = 5 N2 = 4 "Now make N2 = N1" N3 = N1 / N1
Result = N2 = N3 x N1
Now Below..........................................................................................................................
A2 = A1 x C = 1.1111111111 ......
B2 = B1 x C = 0.9999999999 ......
In the above Single Calculation! Because A1 is 1 it Ends up with a Value A2 > B1 or B2
B2 = B1 x C = 0.9999999999 ....B2 is Now Infinite 0.999..This takes One Calculation!
The above Proves!! if Infinite 0.9 was Equal to 1 it would by a Single Calculation! End up with the same Value as A1 x C
To Patrick
Quote:"Why don't you try to submit some of your great ideas to a journal and have it peer reviewed?"
A.R.B
Dont worry they will come knocking soon!!
So there we have it! Looks like The Cambridge Advanced Dictionary/Thesaurus has Defeated everyone on this Post!
The Equation below sums up everything in a Nice way!!
( 0.9r "Definition" ) <> 1 )
A.R.B
OK!
Below is Needed because No One! is prepared to put forward an Example,in a line by line way! the same as my Proof! to explain what they are trying to say!
The main problems are not saying at what stage A & B are at! i.e Single Start Values! or Calculated x C.
I am going to Add some new Variables so everyone knows what is Happening!
Sometimes new Variables have to be Add to explain things in an easier way,a good example is the N2 = Infinite 0.9999..."is it possible to insert anymore Numbers Between! " N3 = 1
as soon as I introduced the N4 Variable = The Maximum possible Number of .9's ?
Everyone was stumped! Because as they know as soon as anyone gives a Value for N4,I will answer with N2..............(.N4 + "as many more .9s I want to Insert!.)...........N3.
----------------------------------------------------------------------------------------------------------------
INFINITE 0.9 <> 1 PROOF By,Anthony.R.Brown,29/01/07.
The Variables below A1 & B1 are Both Single Start Values.
A1 = 1 "This has to be the Start Value for 1"
B1 = 0.9 "This has to be the Start Value for Infinite 0.9"
C = A1 / B1 = 1.1111111111...."There is only one Value & Variable for C"
A2 = A1 x C = 1.1111111111 ......"This is the same single Calculation as B2"
B2 = B1 x C = 0.9999999999 ......"This is now Infinite 0.9 and a single Calculation"
If B1 or B2 was at anytime to = A1 Then either would end up with the same Result as A2,but because it will take more than one single Calculation! for B1 or B2 to = A1
Then its Impossible from the Start for Infinite 0.9 to ever = 1 in a single Calculation.
To kylekatarn
QUOTE:
" 1 = 1.0 = 1.00 = 1.000 = ... = 1.(0) "
...and it's beautiful, isn't it? ^^"
ARB
I dont know about beautiful! It might have been Good! if only it was a Counter Proof to the Fact! that I can Take away the Decimal Point Concerning 1.0 and it will still = 1
But if I do the same with 0.333... or 0.999.. then they both end up Completely Different Numbers!!
To Ricky!
Quote:
"ARB, your request for proofs has been met. We have provided many. You, to what I have seen, have yet to make a comprehendable objection to these proofs."
ARB
Gather together all the Examples into One Example! that you think are a Counter Proof! and I will Answer! from my Side I have seen Nothing So Far! Only People putting forward So called Counter Proofs! that are using Numbers Nothing to do with what I have put at the Start of this Post!
It's Quite Simple use the Variables/Numbers A,B, & C and give me what you are Made of! so far in other Arguments we have had! I am well ahead of you!! and you know it! FLT etc.....
To kylekatarn
QUOTE:
" 1 = 1.0 = 1.00 = 1.000 = ... = 1.(0) "
ARB
or Better!!
That's a Repeating 0
To kylekatarn
QUOTE:
" 1 = 1.0 = 1.00 = 1.000 = ... = 1.(0) "
ARB
That's a Repeating 00000000
To Ricky!
Quote:
"1.0
It has a decimal point."
ARB
But it,s not a Repeating Decimal Point!