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## #1 2007-04-13 18:38:19

Toky0Drift404
Member
Registered: 2006-10-07
Posts: 11

### Rationalization of abstract infinities

Hello all, it's been a while since I posted on this forum.

Basically my question is a follows: if one suppose for true the continuum hypothesis as espoused by the young Georg Cantor, basically meaning that one can "count" so to speak using the transfinite numbers as analogies to our conventional number system. If it is such that aleph sub zero has the cardinality of aleph one, and so on, does this mean that the compression ratios of those respective sets also follow the same form?

In everyday nomenclature a ratio of 2 would follow one, and so on. Not to sound patronizing, but to establish the baseline. So does this follow on to the transfinites or not?

Last edited by Toky0Drift404 (2007-04-13 18:39:00)

"To drift race is to truly understand one's inner being" - Takashi san

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## #2 2007-04-13 19:21:26

Toky0Drift404
Member
Registered: 2006-10-07
Posts: 11

### Re: Rationalization of abstract infinities

This might clarify things a bit

"To drift race is to truly understand one's inner being" - Takashi san

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## #3 2007-04-13 19:34:52

Karl_Hungus323
Member
Registered: 2006-10-06
Posts: 9

### Re: Rationalization of abstract infinities

Guten Tag! I am a German exchange student from Nuremberg! I am studying the maths in U.S.  I believe that I misunderstand Toky0Drift404 when she says:
"if one suppose for true the continuum hypothesis as espoused by the young Georg Cantor, basically meaning that one can "count" so to speak using the transfinite numbers as analogies to our conventional number system."
While I am German, I cannot even read and comprehend this sentence. I do not even comprehendsze what she means by "compression ratio." The only compression ratios I know of are listed by the engineers (such as those of fine autos as the BMW M-Series) or movie stars such as Lexington Steele in films such as "Biting the Bullet."  Also, please do not speak of Cantor in such filth (he can count, as opposed to your 'truth').

-205MPH

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## #4 2007-04-13 19:38:21

Toky0Drift404
Member
Registered: 2006-10-07
Posts: 11

### Re: Rationalization of abstract infinities

I certainly hope your post does not mean to imply the superiority of German automobiles over the finely tuned machines of the east. I resent your digression but feel I must present a suitable response:

Last edited by Toky0Drift404 (2007-04-13 19:40:14)

"To drift race is to truly understand one's inner being" - Takashi san

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## #5 2007-04-13 19:43:11

Toky0Drift404
Member
Registered: 2006-10-07
Posts: 11

### Re: Rationalization of abstract infinities

I hope that this this transgression does not divert this thread from its original intended purpose, but if someone represents with automotive tech I feel I must stand up for the truth, as this is what I and all of seek from the studies of the arts of math(se).

"To drift race is to truly understand one's inner being" - Takashi san

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## #6 2007-04-13 19:48:33

MathsIsFun
Registered: 2005-01-21
Posts: 7,659

### Re: Rationalization of abstract infinities

Ahhh ... you two again!

I moved this to "Dark Discussions" from "Help me!", as you are not really asking for help, are you?

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

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## #7 2007-04-16 03:20:36

burningleo
Member
Registered: 2007-04-10
Posts: 24

### Re: Rationalization of abstract infinities

Why are you guys argueing about which cars are better east or germany any ways ????

Last edited by burningleo (2007-04-16 03:22:15)

What was, was and whats here is now

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## #8 2007-04-20 18:09:29

Karl_Hungus323
Member
Registered: 2006-10-06
Posts: 9

### Re: Rationalization of abstract infinities

Mrs. Burningleo,
I ( as I hope you are) born from a civilized humanity.  I do not hold a grudges.  If you must bring nations into this mess, we must.  As far as I know, U.S and Deutschland relations have been superb since 9 November 1989.  Growing up in Karlshorst, I never thought I would feel such feelings toward U.S. as I feel now; for "East and West" Germany as you speak are no longer in existence.  Your fallen leader (Bush) even spoke to my former (Gorbachev, lest you forgets) when this discussion here occured:

Gorbachev: "I assured the President of the United States that I will never start a hot war against the USA."
Bush said: "We can realize a lasting peace and transform the East-West relationship to one of enduring co-operation. That is the future that Chairman Gorbachev and I began right here in Malta."

All though I would like to think of Deutschland as being on vacation the last decades, I can not.  I have accepted my history.  You, Mrs. Burningleo, have not however.  If you wish for the past, you must receive it.  The Cold War, as you wish, in myself will persist in the mind as it began, in 1946.  Toky0Drift404, let us show her "which cars are better east or germany any ways ???? ".

Last edited by Karl_Hungus323 (2007-04-20 18:11:02)

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## #9 2007-04-20 18:27:18

Karl_Hungus323
Member
Registered: 2006-10-06
Posts: 9

### Re: Rationalization of abstract infinities

let's consider the topic of integration, which seems to be pretty relavent, we must have these following condidtions...

1) the set of discontinuities must be of zero measure
2) at all points in the interval, the function must be bounded
3) we must also require that the function must fit the lebesque conditions for integrability
4) on a side note, there is no requirement that the the well-ordering theorem apply

Lastly, there is no requirement that the function is a homomorphic bijection in the ring of integers, while this may
help, this is no any kind of requisite, good luck!

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## #10 2007-04-20 18:29:27

MathsIsFun
Registered: 2005-01-21
Posts: 7,659

### Re: Rationalization of abstract infinities

Umm ... I think burningleo just wanted to know why you were arguing ...

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

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## #11 2007-04-23 13:01:04

Toky0Drift404
Member
Registered: 2006-10-07
Posts: 11

### Re: Rationalization of abstract infinities

In reference the the post by Mr. (or would it be Herr?) Karl Hungus I must say that it's the first time I actually agree with someone on this forum, and a foreigner to nonetheless! If this man can cut to the point so quick after a lifetime of hardship perhaps all of you could learn something. This reminds of a little skirmish known as World War 2, when the only ones who could keep their heads on straight, Germany and Japan, had to ally to brave it through the dark. Well maybe such times are on us again.

I don't think anyone needs to be reminded of a Mitsubishi from times past, darker times, when brother had to slay brother for foreign oil and lies.

"To drift race is to truly understand one's inner being" - Takashi san

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## #12 2007-04-25 02:50:13

George,Y
Member
Registered: 2006-03-12
Posts: 1,306

### Re: Rationalization of abstract infinities

What the hell does the Mitsubishi sign or  Mitsubishi car have to do with Georg Cantor's hypothesis, Toky0Drift404?

Last edited by George,Y (2007-04-25 02:51:09)

X'(y-Xβ)=0

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## #13 2007-04-27 16:31:19

Toky0Drift404
Member
Registered: 2006-10-07
Posts: 11

### Re: Rationalization of abstract infinities

George,Y wrote:

What the hell does the Mitsubishi sign or  Mitsubishi car have to do with Georg Cantor's hypothesis, Toky0Drift404?

A fair question I suppose, sir. Allow me to ellucidate, as it may not be readily apparent to the resident troglodytes native to here:

A compression ration is defined as simply as such: the ratio of a given space in an open space relative to its volume when compressed. This is an elementary mathematical concept, and as mathematics is the descriptor of all reality it is present in many eveyday intuitive phenomenon, I chose automotive engingeering as it is something commonplace to anyone living in a modern first world country. In cars the compression ratio tends to correlate to increased performance, so what other example to pick than the fine automobiles produce by Mitsubishi Heavy Industries, of Japan, known for their hefty performance and relatively high compression ratios.

Last edited by Toky0Drift404 (2007-04-27 16:34:00)

"To drift race is to truly understand one's inner being" - Takashi san

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## #14 2007-04-28 00:10:38

George,Y
Member
Registered: 2006-03-12
Posts: 1,306

### Re: Rationalization of abstract infinities

Uh, I've come to understand.
Anyway, I don't believe a "continuous" real system is a correct mirror of reality. Nor do I know that the reality often follows oversimplified mathematical formulae.

X'(y-Xβ)=0

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## #15 2007-05-07 17:20:54

Karl_Hungus323
Member
Registered: 2006-10-06
Posts: 9

### Re: Rationalization of abstract infinities

I would hope that Sir Toky0Drift404 and myself would not have to defend our arguments of "oversimplified mathematical formulae" from George,Y.  However, per se.  One such simplification of practical use is the ideal gas law, which is of upmost importance to the air intake of The Nissan Skyline.

Furthermore, I do believe that the following representation of the circle of life here occurs as a continuous system after some examination:

Last edited by Karl_Hungus323 (2007-05-07 19:13:01)

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## #16 2007-05-11 15:27:25

Toky0Drift404
Member
Registered: 2006-10-07
Posts: 11

### Re: Rationalization of abstract infinities

Hmm, a Skyline GTR is it? This man must know something to bring forth the name Nissan and choose the right card, so to speak. I'd rather not get into lesser manifestations, such as the 300zx with the optional manual gearbox, but that's another story for another day. I am pleased to see that at least one person on this forum seems to have their wits about them. I must say that this so called Mr. Hungus seemed an adversary at first, but has quickly shown himself to be at the very least the lesser of all evils.

It reminds me of my younger days, how naive we were back then. Watching young men give it all, life, love, the future, all of that for chariots of screeching metal and combusting vapors, screaming off into the night like banshees. Like out cornering one twin turbo RX-7 would absolve one of all sins, hah, if I knew then what I have come to know now. How we marched like animals to the slaughter, fancying ourselves gods of some kind. What fools we were, thinking all concerns, all the world's worries could be handled in the brutal melee of gripping rubber, of spooling turbos. Wrenching out our very souls for a fool's bargain. I suppose the fact that I made it through is the burden, the curse, the duty, whichever you will, that I must bear, to tell this tale for the benefit of others.

For all of you would be drift racers be aware of the burden you must bear.

Last edited by Toky0Drift404 (2007-05-11 15:29:37)

"To drift race is to truly understand one's inner being" - Takashi san

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## #17 2007-05-11 15:32:54

MathsIsFun
Registered: 2005-01-21
Posts: 7,659

### Re: Rationalization of abstract infinities

Ahhh... such words to the unwise there, Mr Toky0, I commend you.

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

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## #18 2007-05-13 17:36:37

Karl_Hungus323
Member
Registered: 2006-10-06
Posts: 9

### Re: Rationalization of abstract infinities

To All:
The maths is fun.  Indubitably.  The storm awaits.

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## #19 2007-05-22 20:32:00

Karl_Hungus323
Member
Registered: 2006-10-06
Posts: 9

### Re: Rationalization of abstract infinities

study = fail.

inititial conditions:      study = no fail
no study = fail

study + no study = fail + no fail
study (1+ no) = fail (1+ no)
study = fail
therefore:

You're all that I have and you're all that I need
Each and every day I pray to get to know you please
I want to be close to you, yes I'm so hungry
You're like water for my soul when it gets thirsty
Without you there's no me
You're the air that I breathe
Sometimes the world is dark and I just can't see
With these, demons surround all around to bring me down to negativity
But I believe, yes I believe, I said I believe
I'll stand on my own two feet
Won't be brought down on one knee
Fight with all of my might and get these demons to flee

Hashem's rays fire blaze burn bright and I believe
Hashem's rays fire blaze burn bright and I believe
Out of darkness comes light, twilight unto the heights
Crown Heights burnin' up all through till twilight
Said, thank you to my God, now I finally got it right
And I'll fight with all of my heart, and all a' my soul, and all a' my might

What's this feeling?
My love will rip a hole in the ceiling
Givin' myself to you from the essence of my being
Sing to my God all these songs of love and healing
Want Moshiach now so it's time we start revealing

What's this feeling?
My love will rip a hole in the ceiling
Givin' myself to you from the essence of my being
Sing to my God all these songs of love and healing
Want Moshiach now so it's time we start revealing

Strippin away the layers and reveal your soul
Got to give yourself up and then you become whole
You're a slave to yourself and you don't even know
You want to live the fast life but your brain moves slow
If you're trying to stay high, bound to stay low
You want God but you can't deflate your ego
If you're already there then there's nowhere to go
If you're cup's already full then its bound to overflow
If you're drowning in the water's and you can't stay afloat
Ask Hashem for mercy, and he'll throw you a rope
You're looking for help from God you say he couldn't be found
Searching up to the sky and looking beneath the ground
Like a King without his Crown
You keep fallin' down
You really want to live but can't get rid of your frown
Tried to reach unto the heights and wound bound down on the ground
Given up your pride and the you heard a sound
Out of night comes day and out of day comes light
Nullified to the One like sunlight in a ray,
Makin' room for his love and a fire gone blaze
Makin' room for his love and a fire gone blaze

What's this feeling?
My love will rip a hole in the ceiling
Givin' myself to you from the essence of my being
Sing to my God all these songs of love and healing
Want Moshiach now so it's time we start revealing

What's this feeling?
My love will rip a hole in the ceiling
Givin' myself to you from the essence of my being
Sing to my God all these songs of love and healing
Want Moshiach now so it's time we start revealing

I lift up my eyes where my help come from
Seen it circling around from the mountain
Thunder!
You feel it in your chest
You keep my mind at ease and my soul at rest
Look to the sky where my help come from
Seen it circling around from the mountain

What's this feeling?
My love will rip a hole in the ceiling
Givin' myself to you from the essence of my being
Sing to my God all these songs of love and healing
Want Moshiach now so it's time we start revealing

Last edited by Karl_Hungus323 (2007-05-22 20:42:12)

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## #20 2007-06-02 16:52:16

Toky0Drift404
Member
Registered: 2006-10-07
Posts: 11

### Re: Rationalization of abstract infinities

Last edited by Toky0Drift404 (2007-06-02 17:14:05)

"To drift race is to truly understand one's inner being" - Takashi san

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