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Vintage E Penne

@ev-jay-space-gatz-man / ev-jay-space-gatz-man.tumblr.com

Someday inactive forever, for now inactive for a time. Just passing through for the nostalgia.
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visualizingmath
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themathkid
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thousandmaths

Cute! :)

I wasn’t particularly convinced by the evidence, but I eventually realized a proof that $n$ and $n+1$ share at least one letter for all $n$.

First, large numbers:

  • n ≥ 1,000,000 is clear because all such numbers have at least one -ILLION 
  • (If you use the long scale, there’s no problem at the transitions between the -ILLIONs and the -ILLIARDs; they share an L, for instance.) 
  • Noting that this shares an N with THOUSAND, we get n = 999,999 which allows us to extend all the way down to n ≥ 1,000$. 
  • Then THOUSAND shares a D with HUNDRED so we get n = 999 and hence down to n ≥ 100$.

Second, negative numbers: The statement is true for all n ≤ -2 because all negative numbers will have MINUS or NEGATIVE or ANTI. These all have Ns, so even if you switch conventions arbitrarily it still works.

We check the shared letters between -1 ≤ n ≤ 12 by hand, and this immediately gives it up to n = 18 (because of -TEEN)

  • n=-1 — O
  • n=0 — O
  • n=1 — O
  • n=2 — T
  • n=3 — R
  • n=4 — F
  • n=5 — I
  • n=6 — S
  • n=7 — E
  • n=8 — E
  • n=9 — E
  • n=10 — E
  • n=11 — E
  • n=12 — E

For n = 19 we have a shared N, and then all numbers between 20 and 99 have a -TY. So the only number left to check is n = 99, for which there is a shared N.

——

By the way, I don’t see any reason to stop at infinity.

In particular, this rule also extends a couple steps into the countable ordinals, even if we make the rule for limit ordinals as strong as* “every sequence converging to ß has all but perhaps finitely many elements sharing a letter with ß”:

  • OMEGA contains an O and an A, one of which* is shared by every number greater than 1,000,000. So that gets you n = ω, and hence up to n < ε_0.
  • OMEGA and EPSILON share an O so that gets you n = ε_0, and hence up to… somewhere. This is about where my understanding of ordinals gets fuzzy, but I think that everything is a sum of epsilon numbers up to n < Γ_0?
  • Assuming that statement is right, there are two reasonable transliterations of Γ_0, but either of them work: GAMMA-NAUGHT and FEFERMAN-SCHÜTTE both have an N, common with EPSILON (and also common with VEBLEN, which is convenient)

* If you use the short scale, you can improve the rule to “every sequennce converging to ß has all but perhaps finitely elements having a common letter shared with ß”, since every sufficiently large finite number has an O. 

But I’m not sure if you can guarantee this if you use the long scale, since perhaps by some clever alternations of -ILLIONs and -ILLIARDs you could avoid having any of the letters O, M, E, G, or A, in infinitely many of the numbers. It seems unlikely because of the increasing complexity of the prefixes, but starting at 10^6000, the rules are made up and the names don’t matter. (…well actually, the names do matter, which is the problem XD)

Similarly, going substantially** beyond Γ_0 becomes difficult in that there doesn’t seem to be a standardized naming convention for these moderately-sized ordinals. 

( ** Of course, it’s not hard to go (a long way) past Γ_0, but it’s not clear to me when we start running into possible troubles again: if it is the Ackermann ordinal or something smaller. And yes, I’m getting all of my knowledge of ordinals at this scale from Wikipedia, so that probably isn’t helping things.)

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visualizingmath
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geometrymatters

The Wonderful Color Wheel: Part 1 

How many ways can you reshuffle the rainbow? Three, as a matter of fact, if modern color theory is to be believed: Pantone numbers for print designers and brand managers; hex, RGB, and CMYK values for web designers; and CIELAB and CIECAM02 color models for the scientific community. But while the science of color models is largely settled, all that rigorous theory still doesn’t quite squeeze out the sense of fallible humanity underpinning the history of the color wheel. 

full article on printmag.com

by: Jude Stewart

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visualizingmath
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geometrymatters

Harmonograph, H. Irwine Whitty, 1893

“The facts that musical notes are due to regular air-pulses, and that the pitch of the note depends on the frequency with which these pulses succeed each other, are too well known to require any extended notice. But although these phenomena and their laws have been known for a very long time, Chladni, late in the last century, was the first who discovered that there was a connection between sound and form.”

source here

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touchmybutt-buymetacobell
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ollielephant

none pizza with left beef

It should be a rule of Tumblr to always reblog none pizza with left beef

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babymarkers

ive missed you

I love None Pizza with Left Beef.

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tonyswirl

3th time i’ve reblogged this

3th

tumblr people love this. reddit people love this. 4chan scum loves this. there is just something intrinsically hilarious about none pizza with left beef. bless 

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pixie-mage

I hope this never dies. I hope None Pizza with Left Beef will go down in Internet history alongside such legends as the Rickroll and He-Man’s rendition of “What’s Going On”.

i just laughed for a minute straight 

why

Always reblog none pizza with left beef

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gingerbreaddrarry

I shouted out loud “none pizza with left beef” because I was so overjoyed to see it again so unexpectedly

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drst

I heard someone on a newscast (I think it might have been Chris Hayes) talking about trying to explain None Pizza with Left Beef so this has officially transcended time and space.

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limpidlethologica

I share a birthday with None Pizza Left Beef and I’m very humbled by it

NONE PIZZA LEFT BEEF IS BACK!!

Never seen this before, but should I not reblog this the next time this comes across my dash, assume that I’ve died and gone to Valhalla.

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heritage-post

date of origin: June 23rd, 2013

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froot-luips

I think I and the other 10 people in the world who don’t watch Game of Thrones are probably more excited for the final season than anybody else

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allthingslinguistic
“To choose any one vernacular as a norm means to favor the group of people speaking that variety. It gives them prestige as norm-bearers and a head start in the race for power and position. If a recognized elite already exists with a characteristic vernacular, its norm will almost inevitably prevail.”

— Haugen (via linguisten)

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allthingslinguistic
“In theory, you can make a programming language out of any symbols. The computer doesn’t care. The computer is already running an invisible program (a compiler) to translate your IF or into the 1s and 0s that it functions in, and it would function just as effectively if we used a potato emoji 🥔 to stand for IF and the obscure 15th century Cyrillic symbol multiocular O ꙮ to stand for . The fact that programming languages often resemble English words like “body” or “if” is a convenient accommodation for our puny human meatbrains, which are much better at remembering commands that look like words we already know. But only some of us already know the words of these commands: those of us who speak English. The “initial promise of the web” was only ever a promise to its English-speaking users, whether native English-speaking or with access to the kind of elite education that produces fluent second-language English speakers in non-English-dominant areas.”

— Coding Is for Everyone—as Long as You Speak English (Gretchen McCulloch in Wired) 

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tinkeringpixie
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wizardnuke

not to be a history fucker on main but the whole mystery of the lost colony of roanoke is so fucking funny

governor of the colony: hey I’m gonna go back to england to get more supplies

115 colonists: okay

governor: ends up spending 3 years in england bc of a naval war with spain or some shit

governor: gets back to the colony to find everyone gone

governer: sees the word “croatoan”, the name of a native american tribe, carved into a post

croatoan tribe: has members and children with blonde hair/blue eyes, pale skin

everyone: what could have happened to the colonists of roanoke

racism is a hell of a drug

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fibbonaccisequins
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omnybus

Stu, let me ask you a question: how did you not realize until then that you had too many eggs? Nobody sells eggs in a big cloth-covered basket, so you must have done that yourself. That means you spent god-knows-how-long opening up twelve whole cartons of eggs, carefully placing each egg one-by-one inside a big basket, and then covering it with a big picnic cloth… and at no point- at no point- did you ever stop and think “gee, there might be TOO MANY FUCKING EGGS HERE”

You really have lost control of your life.

I may have gone overboard with this

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