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Topic: Aleph-null


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In the News (Thu 30 Oct 14)

  
 Bottles Of Beer On The Wall
CNN.com - 66207896 bottles of beer on the wall - Feb. 25, 2004 - When Dereck Gurden pulls up at one of his customers' stores -- 7-Eleven, Buy N Save, or one of dozens of liquor marts and restaurants in the 800-square-mile...
99 Bottles of Beer on the Wall - 99 Bottles of Beer on the Wall is a family oriented Restaurant and Pub located in Santa Cruz, California.
99 Bottles of Beer on the Wall in Objective-C@Everything2.com - "s" : ""; printf("%d bottle%s of beer on the wall\n", num, end); printf("%d bottle%s of beer\n", num, end); printf("Take one down, pass it around\n");...
www.supplybeer.com /bottles-of-beer-on-the-wall.html

  
 Bottles of beer - Brunching UBB
Cropherb bottles of beer on the wall, Cropherb bottles of beer, you take one down and pass it around,
44 bottles of generic beer, 98 bottles of heinken and 99 bottles of various meads on the wall,
44 bottles of generic beer, 98 bottles of heinken and 99 bottles of various meads
www.brunchma.com /archives/Forum17/HTML/000210.html

  
 84292
Aleph *one* bottles of beer on the wall, Aleph *one* null bottles of beer!
Aleph null bottles of beer on the wall!
> >Aleph null bottles of beer on the wall, Aleph null bottles of beer!
www.cs.cmu.edu /afs/cs.cmu.edu/project/theo-3/data/20_newsgroup/talk.religion.misc/84292

  
 Best Online Directory : Recreation : Collecting : Food and Drink Related : Liquor and Wine : Bottles and Decanters
Magazine devoted to the collecting of miniature liquor and beer bottles.
Collectors site of mini bottles of scotch whisky and spirits with duplicates for trade or sale.
Photos of miniature whiskey bottles collected from around the world.
www.best-online-directory.com /index.php?c=Recreation/Collecting/Food_and_Drink_Related/Liquor_and_Wine/Bottles_and_Decanters

  
 Re: How to dissolve CaCO3?
Decrementation of the number of bottles leads naturally to the thought, that at some point there will be none, and then, nothing to do, since one cannot go further.
So, > > lets _all_ sing a song (otherwise, get out and > > walk :-) Here goes: 1x10(9) bottles of beer on > > the wall, 1x10(9) beers on the wall; if one of > > those bottles should happen to fall, 1x10(9) - 1 > > beers on the wall.
Has that warm and fuzzy feeling of not dealing with change of any sort that might be disturbing.
www.usenet.com /newsgroups/sci.chem/msg00032.html

  
 [nem-en] LineCounterWithoutLoop
_ => () } ]> } -- Aleph-null bottles of beer on the wall, You take one down, and pass it around, Aleph-null bottles of beer on the wall.
nemerle.org /mailman/pipermail/devel-en/2004-June/000604.html

  
 99 Bottles of Beer on the Wall
Aleph-null bottles of beer on the wall, Aleph-null bottles of beer You take one down & pass it around Aleph-null bottles of beer
." bottles of beer on the wall," CR dup.
relocate 0.1 {(i*5-4)/(5*rounds)} putlabel 6 endloop relocate 0.1 {5/(5*rounds)} putlabel 6 1 bottle of beer on the wall, relocate 0.1 {4/(5*rounds)} putlabel 6 1 bottle of beer, relocate 0.1 {3/(5*rounds)} putlabel 6 take it down and pass it around, relocate 0.1 {2/(5*rounds)} putlabel 6 no more bottles of beer on the wall.
www.csd.abdn.ac.uk /~jrl/teach/CS3012/polyglot.htm

  
 jei-mh25.txt
"Aleph-null bottles of beer on the wall, aleph-null bottles of beer~!" Leaning forward against her seatbelt, Relena's head popped up next to Heero's so she could ask a question without it being lost in the wind.
"Aleph-null bottles of beer on the wall--" "Infinity is infinity, Duo.
"You take one down, pass it around, aleph-null bottles of beer on the wall~!" Heero finally took the moment to groan softly.
gundamgal.envy.nu /jei-mh25.txt

  
 Math gift Math gifts gift for mathematician gifts for mathematicians
If one of those bottles should happen to fall,
Calculus may be derivative, but it is not jejune.
THESE SHIRTS ARE ALSO AVAILABLE AS MUGS - click here
www.mathematicianspictures.com /More_Math_shirts_p01.htm

  
 Peace Like A River
Dedicated to originality of observation, clarity of thought, and chronicling the development of the two most precious children on the planet
"But a herring doesn't hang on a wall."
"What's green, hangs on a wall, and whistles?"
www.jeffkouba.com /myblog/2004/12/i-just-took-kids-to-mcdonalds-so-they.html

  
 U2 Feedback - y = ln(x/m -sa)/ r^2
Shit I thought I was the only one, now lets make jokes about aleph null, the smallest of infinite cardinal.
12:50 PM Shit I thought I was the only one, now lets make jokes about aleph null, the smallest of infinite cardinal.
Location: In the Phantom's lair staring at John Mellencamp's butt.
forum.interference.com /t107525.html

  
 Introducing more meaning into inheritance
i just have a friend who, instead of "99 Bottles of beer on the wall" likes to sing "Aleph Null bottles of beer on the wall".)) dave -- j.
>> Integer size >>=> AlephNull > >To be consistent with the #do: issue, Integer size should not be null.
We know >that we only deal with finite sets, we can take advantage of this knowledge, >which is not just an implementation detail.
lists.cdegroot.com /pipermail/squeak-dev/1998-April/024174.html

  
 my weblog - comments on 'Samstag, 17. Juli 04'
drinkable to be in a bottle which has a candle stuck in its neck.
Take along a candle, which you insert and
www.sofresh.ch /cgi-bin/weblog/b2commentspopup.php?p=101&c=1

  
 Re: [newbie] Apache htdocs
Berkeley, New South Wales, AU -------------------------------- Coralament*Best Grötens*Liebe Grüße*Best Regards*Elkorajn Salutojn Aleph-null bottles of beer on the wall, Aleph-null bottles of beer, You take one down, and pass it around, Aleph-null bottles of beer on the wall.
Want to buy your Pack or Services from MandrakeSoft?
www.mail-archive.com /newbie@linux-mandrake.com/msg111355.html

  
 some translations in d-i-manual/module done
Hope he's OK. -- Regards, Tchaikov 2004.08.15 Sun -- Aleph-null bottles of beer on the wall, Aleph-null bottles of beer, You take one down, and pass it around, Aleph-null bottles of beer on the wall.
Ming, May I add/commit these files into CVS by myself?
Re: some translations in d-i-manual/module done Ming Hua
www.mail-archive.com /debian-chinese-gb@lists.debian.org/msg07506.html

  
 Quoi de 9 - comments on 'Vacance de la construction oui..'
fellow workers will surely buy beers for thy widow and console her in
Democracy is a government where you can say what you think even if you
Work thou not on energized equipment, for if thou dost, thy
www.spider-illusion.com /b2/b2commentspopup.php?p=73&c=1

  
 Replies
I've had the Toby Keith song "Beer for my horses" stuck in my head for about two days, it's making me nuts.
www.freerepublic.com /focus/news/851038/replies?c=18

  
 The Organic French Wine Blog - comments on 'Bedtime for boozo'
What is it that hangs on the wall, is green, wet – and
I knit my brow and thought and thought, and in final perplexity
wineblog.net.nz /b2commentspopup.php?p=25&c=1

  
 [Exim] "Japan arrests woman for email snooping"
Yup...exact reasoning I give about that cute girl in marketing's mail;-)) (*ducks*) -Kevin -- Aleph-null bottles of beer on the wall, Aleph-null bottles of beer, You take one down, and pass it around, Aleph-null bottles of beer on the wall.
On Tue, Aug 14, 2001 at 12:06:44PM +0300, Lauri Tischler penned: > Now, me as network admin, have all rights to read anything, BUT > only under total confidentiality.
www.exim.org /pipermail/exim-users/Week-of-Mon-20010813/028874.html

  
 Am I Right - Song Parodies, 99 Bottles of Beer on the Wall
which gives me an idea that I should write an infinitessimal fraction of the old math song, "Aleph null bottles of beer on the wall" :-).
This is a clever idea, although I did see it suggested on one of the coments posted on another 99 Bottles parody.
Is everyone going to make "99 bottles of beer on the wall" alcoholic songs all ths month??
www.amiright.com /parody/misc/traditional503.shtml

  
 fUSION Anomaly. Aleph
My understanding is that both of these infinities belong to aleph 1, and that aleph null is reserved for denumerable infinities.
fusionanomaly.net /aleph.html   (90 words)

  
 QR Glossary
Aleph null and aleph one are transfinite numbers.
The number a (which is often one) is the lower limit of the summation, while the number b is the upper limit of the summation.
By convention, the number 1 is excluded from this definition.
www.arps.org /users/hs/kochn/QR/Glossary.htm   (2768 words)

  
 aleph-nought - WordWeb dictionary definition
Nearest: alembic, alendronate, Alep, aleph, aleph-null, aleph-zero, Alepisaurus, Aleppa grass, Aleppo, Aleppo boil, alert
www.wordwebonline.com /en/ALEPHNOUGHT   (2768 words)

  
 Aleph Naught and the Null Set
The empty set; the null set is a set with no contents.
One example of these would be the integer set.
If you create your own music, I'd love to hear it - either email me with a web link or send me a cassette or CD please.
www.alephnaught.com /AlephNaught.html   (275 words)

  
 ALEPH - OneLook Dictionary Search
Phrases that include ALEPH: aleph null, aleph zero, aleph 0, aleph nought, aleph 1, more...
ALEPH, Aleph : Free On-line Dictionary of Computing [home, info]
Aleph : Eric Weisstein's World of Mathematics [home, info]
www.onelook.com /cgi-bin/cgiwrap/bware/dofind.cgi?word=ALEPH   (275 words)

  
 v01.n253
There are clearly aleph-one binary numbers with aleph-null digits, just as there are aleph-one decimal numbers with aleph-null digits, based on Cantor's diagonalization proof.
From another point of view, the number of steps to produce Cantor dust is enumerable, but the number of points in the dust is Aleph-one (not one-to-one with the rationals).
That means that, in a sense, you could recombine all the points in the dust to form a square, and a square certainly has aleph-1 points in it.
www.xmission.com /pub/lists/fractint/archive/v01.n253   (3830 words)

  
 99 Bottles of Beer on the Wall
Aleph-null bottles of beer on the wall, Aleph-null bottles of beer You take one down & pass it around Aleph-null bottles of beer
On a humor mailing list I was on in early '94, some nitwit posted the entire lyrics to "99 Bottles of Beer on the Wall." Needless to say, this was seen as a waste of bandwidth.
No bottles of beer on the wall, No bottles of beer.
www.westnet.com /mirrors/99bottles/beer.html   (3830 words)

  
 Learn more about Functional analysis in the online encyclopedia.
Since finite-dimensional Hilbert spaces are fully understood in linear algebra, and since morphisms of Hilbert spaces can always be divided into morphisms of spaces with Aleph Null dimensionality, functional analysis of Hilbert spaces mostly deals with the unique Hilbert space of dimensionality Aleph Null, and its morphisms.
As in linear algebra, the dual of the dual is not always isomorphic to the original space, but there is always a natural monomorphism from a space into its dual's dual.
An important object of study in functional analysis are the continuous linear operators defined on Banach and Hilbert spaces.
www.onlineencyclopedia.org /f/fu/functional_analysis.html   (3830 words)

  
 Business Software Review : Article 'Hilbert space'
Since finite-dimensional Hilbert spaces are fully understood in linear algebra, and since morphisms of Hilbert spaces can always be divided into morphisms of spaces with Aleph-null (ℵ 0) dimensionality, functional analysis of Hilbert spaces mostly deals with the unique Hilbert space of dimensionality Aleph-null, and its morphisms.
Hilbert spaces serve to clarify and generalize the concept of Fourier expansion and certain linear transformations such as the Fourier transform.
Hilbert spaces are of crucial importance in the mathematical formulation of quantum mechanics, although many basic features of quantum mechanics can be understood without going into details about Hilbert spaces.
www.business-software-review.org /DisplayArticle41638.html   (550 words)

  
 Business Software Review : Article 'Hilbert space'
Since finite-dimensional Hilbert spaces are fully understood in linear algebra, and since morphisms of Hilbert spaces can always be divided into morphisms of spaces with Aleph-null (ℵ 0) dimensionality, functional analysis of Hilbert spaces mostly deals with the unique Hilbert space of dimensionality Aleph-null, and its morphisms.
The type classification can be extended to von Neumann algebras that are not factors by defining a von Neumann algebra to be of type X if it can be decomposed as a direct integral of type X factors; for example, every commutative von Neumann algebra has type I 1.
Since the identity operator is always infinite in those factors, they were sometimes called type III ∞ in the past, but recently that notation has been superseded by the introduction of a family of type III factors called type III λ, where λ is a real number in the interval [0,1].
www.business-software-review.org /DisplayArticle41638.html   (550 words)

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