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#412586 - 02/15/10 12:38 PM Math Concept
LordofDarkness Offline
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Registered: 12/23/06
Posts: 756
Loc: Tennessee, U.S.
This is a little something I found interesting. I was at work waiting for further instructions and thought about numbers. I came upon this concept and started playing around with it.

The concept goes like this;

0 = 10
1 = 9
2 = 8
3 = 7
4 = 6
5 = 5
6 = 4
7 = 3
8 = 2
9 = 1
10 = 0

* An example would be the multiplication of 7 in multiplication of 10 would equal to the multiplication of 3.

Like this example;

7 -> 10 = 3
14 -> 20 = 6
21 -> 30 = 9
28 -> 40 = 12

etc... You can add or subtract to get the number in between the digits. All the other numbers are resulting in similar fashion. If you add a zero to your ten like 10 into 100, you must add a zero to your single digits. 2 will be 20, 5 will be 50, and so on.

The concept is done by the tens, hundreds, thousands, ten thousands, hundred thousands, millions, ten millions, and all the way up in tens. If you're using the concept in one million, then the single digits of 1 - 9 will have to be in the hundred thousands place. 0 will always equal to your greatest ten. 0 = 10, 0 = 100, 0 = 1,000, etc.

Try the same concept in other ways like 76 in 106 or something.

76 -> 106 = 30
152 -> 212 = 60
228 -> 318 = 90

The concept is still the same but in the tens place.

What do you think?

I was thinking of sharing this with some of you. It isn't relevant to anything special.
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"Laws are there for a reason. You may not agree with them but you gotta obey them. Nobody wants to be in court." - Sonic the Hedgehog

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#412587 - 02/15/10 12:44 PM Re: Math Concept [Re: LordofDarkness]
JanusFaust Offline


Registered: 02/10/10
Posts: 20
In a good part of my line of work thoughts like these are quite relevant.

It is always an interesting way to encrypt certain data, one way or the other, and could come in quite handy.

But I would say this; make it with ascii smile
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#412588 - 02/15/10 12:51 PM Re: Math Concept [Re: LordofDarkness]
Bill_M Offline
CoS Reverend

Registered: 07/28/01
Posts: 11547
Loc: New England, USA
Originally Posted By: LordOfDarkness
0 = 10
1 = 9
2 = 8
3 = 7
4 = 6
5 = 5
6 = 4
7 = 3
8 = 2
9 = 1
10 = 0

So in other words, if your original number is n, then your new number is 10-n.

Quote:
* An example would be the multiplication of 7 in multiplication of 10 would equal to the multiplication of 3.

Like this example;

7 -> 10 = 3
14 -> 20 = 6
21 -> 30 = 9
28 -> 40 = 12


So in other words, the multiples of 7, subtracted from the multiples of 10, give you the multiples of 3. 10m - 7m = 3m. I'm not sure what you mean by "You can add or subtract to get the number in between the digits".

Quote:
Try the same concept in other ways like 76 in 106 or something.

76 -> 106 = 30
152 -> 212 = 60
228 -> 318 = 90

Again, this collapses down to the simple algebraic relation 106m - 76m = 30m. Am I missing something?
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#412591 - 02/15/10 01:03 PM Re: Math Concept [Re: Bill_M]
LordofDarkness Offline
CoS Member

Registered: 12/23/06
Posts: 756
Loc: Tennessee, U.S.
Originally Posted By: Bill_M
So in other words, the multiples of 7, subtracted from the multiples of 10, give you the multiples of 3. 10m - 7m = 3m. I'm not sure what you mean by "You can add or subtract to get the number in between the digits".


What I meant is that you can subtract 7 from 10 or add from 7 to 10.

10 - 7 = 3, 7 + 3 = 10 so multiples of 7 -> multiples of 10 = multiples of 3.

Besides that, yeah I think you're on the right track.
_________________________

"Any group or collective, large or small, is only a number of individuals. A group can have no rights other than the rights of its individual members." - Ayn Rand

"Laws are there for a reason. You may not agree with them but you gotta obey them. Nobody wants to be in court." - Sonic the Hedgehog

"Satanism is not a white light religion; it is a religion of the flesh, the mundane, the carnal - all of which are ruled by Satan, the personification of the Left Hand Path." - Magus LaVey

"Test Everything, Believe Nothing." -

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#412594 - 02/15/10 01:06 PM Re: Math Concept [Re: LordofDarkness]
Bill_M Offline
CoS Reverend

Registered: 07/28/01
Posts: 11547
Loc: New England, USA
Originally Posted By: LordOfDarkness
What I meant is that you can subtract 7 from 10 or add from 7 to 10.

10 - 7 = 3, 7 + 3 = 10 so multiples of 7 -> multiples of 10 = multiples of 3.

Besides that, yeah I think you're on the right track.

But 10m - 7m = 3m is algebraically equivalent to 7m + 3m = 10m. Maybe I'm missing something, but you just seem to be playing around with what in basic algebra is called the distribute rule, a(b+c) = ab + ac.

Not that number playing can't be fun or interesting. But it's also fun to realize why something works, IMO.
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#412597 - 02/15/10 01:19 PM Re: Math Concept [Re: Bill_M]
LordofDarkness Offline
CoS Member

Registered: 12/23/06
Posts: 756
Loc: Tennessee, U.S.
Thats fine. laugh

Yeah I was pretty much playing with numbers.

What was interesting to me was that if you give a single digit multiples of 1 - 9 and compare it to the tens place like 6 in 10 you would get the multiples of 4. It would also apply the same if given 6,000 in 10,000. Do the multiplication of both multiples to equal the mulitplication of 4,000.

If you even do let's say 7,000,000 in 10,000,000, you would get the multiples of 3,000,000.

The concept stays the same regardless what the highest ten is but all other numbers under the highest ten must have an extra 0 to that digit. Like 10 - 90 in 100, 100 - 900 in 1,000, etc.

What struck me as being most interesting was the fact that you can find the multiples of the digit found in between those numbers. That was basically the idea.


Edited by LordOfDarkness (02/15/10 01:27 PM)
_________________________

"Any group or collective, large or small, is only a number of individuals. A group can have no rights other than the rights of its individual members." - Ayn Rand

"Laws are there for a reason. You may not agree with them but you gotta obey them. Nobody wants to be in court." - Sonic the Hedgehog

"Satanism is not a white light religion; it is a religion of the flesh, the mundane, the carnal - all of which are ruled by Satan, the personification of the Left Hand Path." - Magus LaVey

"Test Everything, Believe Nothing." -

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#412599 - 02/15/10 01:25 PM Re: Math Concept [Re: LordofDarkness]
Bill_M Offline
CoS Reverend

Registered: 07/28/01
Posts: 11547
Loc: New England, USA
Originally Posted By: LordOfDarkness
Yeah I was pretty much playing with numbers.

Nothing wrong with that! I do it all the time myself.

Quote:
The concept stays the same regardless what the highest ten is but all other numbers under the highest ten must have an extra 0 to that digit.

This is basically the same as multiplying that equation I wrote earlier on either side by 10^n, for some integer n.

As long as we're talking about mathematical oddities, here's one of my favorites:
1*1 = 1
11*11 = 121
111*111 = 12321
1111*1111 = 1234321
11111*11111 = 123454321
etc.

There's also plenty of stuff out there based around the number 9, reinforcing the point Dr. LaVey made about the number in The Satanic Rituals.
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Reverend Bill M.

http://www.devilsmischief.com: Carnal Comedy Clips, Netherworld Novelty Numbers,
New hour every week. Download the mp3 now!

http://www.aplaceformystuff.org: Tales of Combat Clutter and other Adventures

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#412600 - 02/15/10 01:28 PM Re: Math Concept [Re: Bill_M]
LordofDarkness Offline
CoS Member

Registered: 12/23/06
Posts: 756
Loc: Tennessee, U.S.
I need to try that concept out. I'll be back for more later. smile

HS!
_________________________

"Any group or collective, large or small, is only a number of individuals. A group can have no rights other than the rights of its individual members." - Ayn Rand

"Laws are there for a reason. You may not agree with them but you gotta obey them. Nobody wants to be in court." - Sonic the Hedgehog

"Satanism is not a white light religion; it is a religion of the flesh, the mundane, the carnal - all of which are ruled by Satan, the personification of the Left Hand Path." - Magus LaVey

"Test Everything, Believe Nothing." -

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#412608 - 02/15/10 02:38 PM Re: Math Concept [Re: LordofDarkness]
TheAbysmal Offline


Registered: 09/22/06
Posts: 1020
I find it a little weird. It is a simple, cryptographic if you will, conversion of numbers, but it looks to treat radix 10 as if it were radix 11. You might find this fun to play with differently.

First, nominate an extra digit:

0 = 0
1 = 1
2 = 2
3 = 3
4 = 4
5 = 5
6 = 6
7 = 7
8 = 8
9 = 9
10 = A

From this, the number 20810 would be 17A11. Zero is still the place holder in this case; 20910 is 18011.

Now, reverse it, as you did in your original cypher:

0 = A
1 = 9
2 = 8
3 = 7
4 = 6
5 = 5
6 = 4
7 = 3
8 = 2
9 = 1
10 = 0

Would 20810 be A71R11? Nope. That would be the same as 71R11, less the insignificant leading A (0). Let's see...

208 / 11 = 18 and 10/11
18 / 11 = 1 and 7/11
1 / 11 = 0 and 1/11

1-7-10 -> 930R11

Okay, let me check my work:

0 = 0
1 = 1
2 = 2
3 = 3
4 = 4
5 = 5
6 = 6
7 = 7
8 = 8
9 = 9
10 = A

208 / 11 = 18 and 10/11
18 / 11 = 1 and 7/11
1 / 11 = 0 and 1/11

1-7-10 -> 17A11

Then, reverse it:

0 = A
1 = 9
2 = 8
3 = 7
4 = 6
5 = 5
6 = 4
7 = 3
8 = 2
9 = 1
A = 0

17A11 = 930R11

The weird properties of your number game stem from the fact that you are not accounting for the change in radix that you introduced in your cypher. That is why your zeros grow in number faster than they should.
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#412680 - 02/15/10 10:15 PM Re: Math Concept [Re: TheAbysmal]
Diwanna Offline


Registered: 01/19/09
Posts: 128
Loc: Upland
Here's one that's been bothering me for a little while.

If 1=1/1 or 2/2 or 3/3 ...

Then 1=3/3=1/3+1/3+1/3

1/3=.333333...

therefore

1=.999999....

Any explanations for this one guys?
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#412686 - 02/15/10 11:01 PM Re: Math Concept [Re: Diwanna]
Bill_M Offline
CoS Reverend

Registered: 07/28/01
Posts: 11547
Loc: New England, USA
Originally Posted By: Diwanna
1=.999999....

Any explanations for this one guys?

That's correct. This argument comes up on Yahoo Answers every now and then, and there are always some people who refuse to believe it. But it's true. "0.999..." (with the nines repeating forever, as denoted by the ellipsis) is exactly equal to 1. Not "approximately", but exactly equal. They're two different ways of writing the same exact value.

There are a couple of other different ways to prove this. The simplest explanation is that there simply is no value you can write that falls in between those two numbers, so the two values are the same. These pages give some more explanations:
http://mathforum.org/library/drmath/view/55746.html
http://mathforum.org/library/drmath/view/55748.html
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Reverend Bill M.

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New hour every week. Download the mp3 now!

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#412728 - 02/16/10 10:32 AM Re: Math Concept [Re: Bill_M]
Diwanna Offline


Registered: 01/19/09
Posts: 128
Loc: Upland
Math sure is a beautiful, elegant, and complex thing.
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The Absence of God will bring you comfort. - Jenny Lewis

There is a point in which empirical evidence outweighs your faith. It is then when you must chose to open your eyes, or close them. - Diwanna

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#412784 - 02/16/10 05:45 PM Re: Math Concept [Re: Diwanna]
ArtAche86 Offline


Registered: 10/24/08
Posts: 380
Loc: Cthulhu's Bowels,Kentucky
I always enjoyed how the 9's multiplication table is a mirror of itself after 9x5,meaning you just reverse the numbers and there's your answer
9x1=09
9x2=18
9x3=27
9x4=36
9x5=45
9x6=54
9x7=63
9x8=72
9x9=81
9x10=90
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#412788 - 02/16/10 06:18 PM Re: Math Concept [Re: ArtAche86]
TheAbysmal Offline


Registered: 09/22/06
Posts: 1020
And, that if you add the digits of those multiples, the sum is 9. That property can be used to interesting effect.

Ask someone to give you a five digit number. Suppose he or she gives you 34769. Then, you tell them you are going to predict the sum of that number and four other numbers, writing down 234768 without him or her seeing it.

Then ask for another number. Suppose he or she gives 72231. The tally would appear as such:

34769
72231

And, you quickly add to the tally, 27768:

34769
72231
27768

Then ask for another. Suppose it is 40129:

34769
72231
27768
40129

And, you quickly add to the tally...

34769
72231
27768
40129
59871

Add them up, and you get 234768. This impresses the hell out of kids at least, but all you did was take the first number given, subtract 1 from the least significant digit, and add 2 as the most significant digit. Then, for each additional number you asked from your party, you quickly wrote down its nine's complement. Add them up, and it appears that you either used magic or you are much faster at adding than most people.

It can work with any number of digits, too, though the trick is easiest to do with all numbers being the same amount of digits.
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#412895 - 02/17/10 05:34 PM Re: Math Concept [Re: ArtAche86]
Machismo Offline
CoS Member

Registered: 02/05/10
Posts: 1132
Loc: New Jersey
Originally Posted By: ArtAche86
I always enjoyed how the 9's multiplication table is a mirror of itself after 9x5,meaning you just reverse the numbers and there's your answer
9x1=09
9x2=18
9x3=27
9x4=36
9x5=45
9x6=54
9x7=63
9x8=72
9x9=81
9x10=90


I just noticed that if you go down the left (tens) column from top to bottom the digits go from zero to nine in order. Then go back up the right (ones) column starting from the bottom and these digits do the very same thing! Nines are just weird. jack
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