David Wallace - Infinite jest

Say you’ve got a Combatant and a record of his past GNP/Military // Military/Nuke ratios. We want to give the Combatant the like exact average of all the past megatonnages he’s gotten in the past. The exact average is called the ‘Mean Value,’ which ought to give us a bit of a giggle, given the hostility of the context here.

So then but let A stand for the Mean Value of a Combatant’s constantly fluctuating ratio and so constantly fluctuating initial megatonnage. We want to find A and give the Combatant exactly A megatons. How to do it’s pretty elegant, and all you need for it is two pieces of data: the most his ratio’s ever been and the least it’s ever been. These two datums [sic] are called the Extreme Values of the cn-n function for which A’s the Mean Value, by the way.

So then but so let / be a continuous non-negative function (meaning the ratio) on the interval [a, b] (meaning the difference between the least the ratio’s ever been and the most it’s ever been and whatnot). Are these little explanations aggravating [sic]? Inc’s looking at me like butter would freeze. It’s hard to know what to assume v. what to explain. I’m trying to be as clear as I can be [sic]. And now he’s looking at me like I’m digressing. Why don’t you just pass that certain item back on over here, Inculator. But so we’ve got / and we’ve got [a, bj. And let r and R be the smallest and biggest values of the function /(x) on the interval [a, b]. So now check out the rectangles of height r and height R over the interval [a, b] in the diagram marked let’s go ahead and mark it say PEEMSTER:

PEEMSTER

The Mean Value we’re after, A, can now be expressed integrally as the Area of some intermediate-type rectangle whose height is taller [sic] than r but shorter [sic] than R. From here on it’s just tit. We need a constant. You always need a constant. Inc’s nodding his head sarcastically like I think I’m saying something sage. Let d be any constant, for computational reasons the closer to 1 the better, so like let d be the size of Hal’s Unit.

Hal Incandenza’s Addendum: In meters.

Michael Pemulis’s Resumption: Very funny. So now, just looking at the wicked-illuminating PEEMSTER diagram above, you can see that this Area we want:

is going to be bigger than the area of the rectangle with height r and but also smaller than the area of the rectangle with height R. Pure mental reason [sic] compels, then, that [sic] somewhere in there between r and R there’s an exact height, f(x’), such that (I have to say that every demonstration of a stats theorem has Let and such that in them, mostly I think because they’re so wicked much fun to say) such that the rectangle of this height f(x’) over the whole interval [a, b] has exactly the Area we want, the Mean Value of all the historic [sic] expenditure-ratios; in other words in abstracted form:

where (b — a) is just the size of the interval. And so have a look at the revealing diagram labeled HALSADICK:

This fucking works. You don’t have to crunch out a whole new ratio each time for each Combatant to dole out the ordnance. You just skim the highest and lowest ratios off the Eschaton records the Beanie-man keeps on each time. This is wicked. This is fucking elegant. Note that (Note that’s another like compulsitory [sic] term) note that the Combatant’s Mean-Value megatonnage will change, slightly, from Eschaton to Eschaton, exactly the way a like hitter’s season average will alter just a bit from at-bat to at-bat, depending integrally on what he delivered on his last trip to the plate and whatnot. Note also that you can use this Mean-Value time-saver with anything that varies within a (definable) set of boundaries and whatnot — like any line, or a tennis court’s boundaries, or like maybe say a certain drug’s urine-level range between Clean and Royally Pinched. As a like exercise, if you’re interested, play three hours of high-level competitive jr. top-level [sic] tennis and then calculate the Mean Value of the ratios of first serves to appearances at net and appearances at net to points won; for a serve-and-volleyer, this is how to tell how serve-dependent his match-performance is. DeLint does this kind of exercise every morning sitting on the can. It’s going to be interesting to see if [sic] Hal, who thinks he’s just too sly trying to outline Eschaton in the 3rd-person tense [sic] like some jowly old

Eschatologist with leather patches on his elbows [sic], if Inc can transpose [sic?] the math here without help from his Mumster. Later. P.S. Allston Rules.

[124] Both EndStat and Mathpak are registered trademarks of Aapps Inc., itself now a division of InterLace TelEntertainment.

[125] Plastic-mesh laundry baskets take two hands to carry and keep you from being able to dribble up more balls with your stick’s face; the cast-off janitorial buckets are the size of like a middle-size wastebasket, but they have a sturdy steel pail-type handle, and their hard-polymer composition makes for lasting wear. It was into just such a bucket that Pemulis threw up before his kind of suspicious V.D. down at Port Washington.

(Various gear-companies sell various specially designed ball receptacles with names like ‘Ball-Hopper’ and ‘Ball-Bank’ — the general Academy consensus is these are for dilettantes and pussies.)

[126] It being well-nigh impossible to keep the present from infecting even a playful and childlike Historical Consciousness, Canadians often end up playing picayune but villainous roles in Eschatonic TRIGSITs.

[127] A lot of these little toss-ins and embellishments are Inc amusing himself, not Otis’s TRIGSIT, which is 100 % all biz.

P.S. Wolf-Spiders Ruleth the Land.

[128] Most Valuable Lobber.

[129] M. Pemulis is, in the best Allston MA tradition, a good friend and a bad-news enemy, and even E.T.A.s who don’t like him are careful not to do or even say anything that might call for score-settling, because Pemulis is a thoroughgoing chilled-revenge gourmet, and is not one bit above dosing someone’s water-jug or voltaging their doorknob or encoding something horrid in your E.T.A. med-files or dickying with the mirror over the bureau in the little recessed part of your subdorm room so that when you look in the mirror in the A.M. to comb or tend to a blackhead or something you see something staring back at you that you’ll never entirely get over, which is what took over two years to finally happen to M. H. Penn, who afterward wouldn’t say what he’d seen but stopped shaving altogether and, it’s agreed, has never been quite himself since.

[130] Pemulis doesn’t actually literally say ‘breath and bread.’

[131] Before Boston Groups’ regular speaker meetings there are often closed, half-hour Beginners’ Discussion Meetings, where newcomers can share their cluelessness, weakness, and despair in a warm supportive private atmosphere.

[132] The word Group in AA Group is always capitalized because Boston AA places enormous emphasis on joining a Group and identifying yourself as a member of this larger thing, the Group. Likewise caps in like Commitment, Giving It Away, and c.

[133] Gately’s little bedroom in the damp Ennet House basement is plastered all over every part of every wall that’s dry enough to take tape with cutout Scotch-taped photos of all sorts of variegated and esoteric celebrities past and present, which are varied as residents throw magazines into the E.M.P.H.H. dumpsters and are frequently selected because the celebrities are somehow grotesque; it’s a kind of compulsive habit held over from Gately’s fairly dysfunctional North Shore childhood, when he’d been a clipping and taping fiend.