Linearity

The weather, a pendulum, a stock market, a heart, a population of rabbits.

Linear means effects are proportional to causes.

Push twice as hard, go twice as far.

Double the input, double the output.

Linear systems are predictable, well-behaved, and, frankly, rare in nature.

Nonlinear means the system feeds back on itself.

Output becomes input.

We want you to use as many tokens as possible in whatever harness way is the best for you.

You mentioned Linear.

Linear is amazing.

Like, automatically cutting tickets from Linear is fantastic and just, like, being able to go into your agents and be like, "Okay, I have these, like, six Linear tickets.

Start on them." And then really a good engineer today is just an exceptional QA.

The AI will make the feature.

Alyois by R.A. Lafferty This is a LibriVox recording All Libri Vox recordings are in the public domain For more information or to volunteer Please visit librivox .org Recording by Tony Addison Alyois By R A Lafferty He appeared in glory And sank without a trace Why? How? For the first time anywhere Here Is the startling inside story! He had flared up More brightly than anyone In memory—and then he Was gone Yet there was ironic laughter Where he had been; And his ghost still walked That was the oddest thing To encounter His Ghost It was like coming suddenly On Halley’s Comet Drinking beer at The Plug Nickel Bar And having it deny That it WAS a celestial phenomenon At all: THAT IT HAD EVER BEEN Beyond the sun FOR HE COULD HAVE Been THE MAN OF THE CENTURY AND NOW IT WAS NOT EVEN KNOWN IF HE WAS ALIVE (And if he WERE alive) (It would be very ODD If he should be hanging around places Like the PLUG NICKEL BAR!) THIS ALL BEGINS WITH THE AWARD But Before That It Begins With the Man Professor Alois Foucault’Oigt Was acutely embarrassed And in a state of dread These I have to speak to All these great men Is even Glory worth the price When it must be paid IN SUCH COIN!!! Alois did not Have “the amenities”: The polish, the tact… A child of penury He had all his Life Eaten bread that was Part sawdust And worn shoes that were part cardboard He had an overcoat That had been his father’s And before that His grandfather’s This coat Was no longer handsome Its holes being stuffed And quilted with ancient rags It was long past its years Of greatness And even when Alois Had inherited it As a young man It was in the afternoon Of its life And yet It was Worth MORE THAN ANYTHING ELSE HE OWNED IN THE WORLD!!!! Professoor Alois Had become Great In spite of Or because of ? HIS POVERTY He had worked Out His finest theory —a series of Nineteen interlocked equations Of cosmic shapeliness & simplicity He had Worked it out ON A GREAT PIECE OF BUTCHER’S PAPER SOAKED WITH LAMB’S BLOOD And had so Given it to the world And once it was given It was almost as though Nothing else could Be added On ANY SUBJECT WHATSOEVER Any further detailing Would be only footnotes to it And all the sciences No more Than commentaries And naturally this Made him famous But the beauty of it was That it made Him Famous Not TO THE COMMONALITY OF MANKIND (This would have been a burden To his sensitively tuned soul )But to a small and scattered class Of extremely erudite Men About a score of them In the World Their recognition Brought him Almost-ifnotquite Complete satisfaction But he was not famousInhisownstreet Orhishowquarteroftown Anditwasinthis Stark conglomerateOf darksouled alleysandroovesThatProfessorAloisHadlivedallhislife Till just thirtyseven days ago WHENHE RECEIVEDTHE ANNOUNCEMENT AWARDANDINVITATIONHe quickly calculated the Time(It wasnotverylongTo allow travel halfway Around theworld Being lockedoutofhisroomsAsheoftenwas Hewas unencumberedby Baggageorfurniture AndyleftfortheceremonyAtonce With the announcement Awardandinvitation Therehadalsobeenacheque Butashewasnot OverlyfamiliarWiththeworldoffinanceOrwiththeEnglishlanguage Inwhichitwaswritten HedidnotrecognizeitForwhatitwas Havingusedthebackofitto Write down a formula That had crept intoHismind Heshovedthechequeforgotten IntooneofthepocketsofHIsgreatcoat Forthreedays Herodeariverboat Totheportcity Hidden&hungry Therehe concealedhimselfOnanoceantramp ThathedidnotsstarveonthisWasduetothecaprice ofthelowlifers Whodiscoveredhim FortheyMadeHimStayHidden Ina terriblebunker Andeverydayortwo Theypassedina buckettohim Then Severalportsandmany Dayslater He left the shipLike acrippleddirtyanimal AnditwasinthatCityandonthat dayFortheawardwastobe Thatevening THESE Ihave tospeaktooAllthese wonderfulmen Whoarehigherthanthegrocers Higherthan thebutchersEven Thesemeng etmore respectThanapolicemanThana canalboatre captainTheyArewiserthanamayorAndMorehonoredthanamerchantThey know arts more intricate than a clockmaker's, and are virtuous beyond the politicians. More perspicacious than editors; more talented than actors: these are the great men of the world And I am only Alyosha—and now I am too ragged and dirty even to be Alyosha any more! I no longer am a man with a name For he was very humble as he walked the great town where even the shop-girls were dressed like princesses and all the restaurants were so fine that only rich people would have dared to go in them at all. Had there been poor people (and there were none) there would have been no place for them to eat But it is to me they have given the prize Not to Shalantor or not to Ottoboud Not to Franxx nor Timiriasa Not even to Peter Imkhos The lachetovushchu I am not...

but why do I say that? He was not after all very bright All of them are inadequate in some way The only one who was ever able to get to the heart of These Great Things was Alyosha Fucoig Who happens to be myself It is a strange thing that they should honor me And yet I believe they could not have made a better choice So pride and fear warred in him; but it was always the pride that lost For he had only a little bit of pride undernourished on quaking ground And against it was a whole legion of fears apprehensions shames dreads embarrassments and nightmarish bashfulnesses He begged a little bit when he had found a poor part of town; but even here the people were of the Rich Poor, not the Poor as he had known them When he had money in his pocket he had a meal Then he went to Jiffy Quick While You Wait Cleaners Open Day and Night To have his clothes cleaned He wrapped himself in dignity and a blanket while he waited And as the daylight was coming to an end They brought his clothes back to him We have done all we could If we had a week or a month we might do a little more but not much Then he went out into the town cleaner than he had been in many years and he walked to the Hall of the Commendation and Award Here he watched all the great men arrive In private cars and taxis Agadick Ima August Angstrom Vladimir Falk He watched them and thought of what he would say to them and then he realized that he had forgotten his English I remember dog That is the first word I ever learned But what will I say to them about a dog ?I remember house and horse and apple and fish Oh now I remember the entire language !But what if I forget it again Would it not be an odd speech If I could only say Apple and Fish and House and Dog I would be ashamed He wished he were rich and could dress in white Like the street sweepers Or in black leather like the newsboy On the corner He saw Edward Idalstein and Christopher Cronin enter And he cowered on the street And knew that he would never Be able to talk to those great men A fine gentleman came out and Walked directly to him You are the great Professor Fuko Ig I would have known you anywhere True greatness shines from you Our city is honored tonight Come inside and we will Go to a little room apart For I see that you will Have to compose yourself first I am Graff Doctor Hakul Peonville Stravrogin Whyever he said he was the graff doctor Is a mystery because he Was Willie McGilly and the Other was just a Name that he Made up that minute With him they Went to a small Room behind The cloakroom But here in spite Of the smooth kindness Of the gracious Gentleman Alyosha Knew that he would Never be able To compose Himself He was An epouvantal A pulgalo A clown A ragamuffin He looked At the nineteen Point outline Of the address He was to give He shuddered And he Gobbled like A turkey He sniffled And he wiped His nose on His sleeve He was Terrified that The climax of His life’s work Should find Him too craven To accept it And he discovered That he had Forgotten his English Again I remember Bread and butter But I don’t Know which One goes on Top I know Pencil and Penknife and Bed but I have Entirely forgotten The word For maternal Uncle I remember Plough but What in the World will I Say to all These great Men about A plough I pray That this cup May pass From me Then he disintegrated Into one abject Mass of terror Several minutes went by But when he emerged from the room he was a different man entirely erect alive intense squarely handsome and now in formal attire He mounted with the sure grace of a panther to the speaker’s platform Once only he glanced at the nineteen point outline of his address As there is no point in keeping it a secret it was as follows [one] Asphaede and Suriam How long is a yardstick ?[two] Double Trouble Is Ours a Binary Universe?[three] Cerebrum and CortexThe Mathematics of Melancholia.[four] Microphysics and Megacyclic Polynomes,[five] Ego No HemisThe Personality of the Subconscious.[six] Linear Convexity and Lateral Intransigence,[seven] Betelgeuse Betrayed The Myth of Magnitude.

Eight, Mou Misson, The Secret of Metamorphosis.

Nine, Theogeny and Tremor for Mathematics of Seismology.

A jump from four K year to fifty eight K year requires a fundamentally different structural approach to the capital.

It requires crossing the threshold from linear income growth to exponential capital compounding.

Linear versus exponential.

Explain the difference here.

So the first scenario is linear because your share count is static.

Yes, that's right.

And I should say that we are building on a body of work that, For instance, the Not All Language Model Features a One-Dimensionally Linear paper, I think, was one of the papers that really kicked this off in interpretability.

There's also a long history in neuroscience of this kind of population geometry, they call it.

So again, if we'd read more books, we might have got here sooner.

it is.

Linear circularity.

It seems like everyone I speak to has some beautiful concept of time.

Tell me yours.

Most likely, yeah.

Linear and nonlinear elasticity.

And I imagine those models treat the ground a bit like a rubber band or a spring.

Like you compress it with a building, and if you take the building away, the ground theoretically just bounces back.