Showing posts with label algebra. Show all posts
Showing posts with label algebra. Show all posts

### +juke tax

Intrinsic to double-u economics, juke taxation (or simply tax) is a form of compliance (ie. fungibility maintenance) that stems (inspirationally) from curvature over finite fields* (redefining algebraic curves in terms of floating-point arithmetic); with non-trivial zeroes lying on the critical line, 1/2 + ir, where i is an imaginary number, and r is a real number {ir completes^ the twistorspace value}.The tax is a default `house` fee `parimutuelly` embedded in each fret. Funds get recycled♻, springing `cache-credit idempotence`. A contribution from the rational portion of half-integer statistics. (see also ¢ent, MONEY, font, residue, token, Quantumquotient, quotient load normalization, juker's ruin, carrots🥕+peaches๐, ๐juke tax as universal basic income, common ¢ents, fret, expression, cybernetic governance, local zeta-function)
/// In `cybernetic governance`, taxation is a seigniorage applied to utilities (ie. energy) costs.

### +twistorspace

Ludologically, twistorspace or "slot" is a complex configuration space (eg. geotop) of solutions to the twistor identity ||f(u,u)=0||. Because a fibor is encoded to close๐ its loopstring the exact same way every time (ascertained from the uniqueness property), there must exist an acoustic bound in place enforcing these conformations (bubble or vacuum); without such a (force) field, the fibor (as measured in ¢ents) would not bifurcate (into MONEY or bubblegum) as a function of symmetry-breaking.
/// +We assume that each twistor field is unique to some `fibor`. Essentially, this is a `mapped` spinor. The 'spin' (an object's spinning `metric signature`) here is identifiable with the quantum fields of arbitrary spin.
+Everything in twistorspace is dyadic (u,u).

Twistorspace' complexity is curvilinear (T)*.More accurately, sesquilinear. (see also handicap, jukespace, coverage)

### +puzzle๐งฉ

A puzzle🧩 is an object or objective lending itself to ludological inference [preimageimage] (ie. all puzzles beg to be solved*).`Decrypted` and/or `encrypted`. Someone who composes/solves puzzles may be referred to as a puzzler.
Juking-wise, our puzzles are ctf๐-styled asymmetric rondos in a three (3)-act continuum: bug-bid-bounty = arithmetic+algebra(curvature)+analysis(logarithm). (see also puzzle script, Puzzle Prince)
/// `Mathemusical` translation: intonation, melody, and `measure`.

### +random coil

Ludologically, the function of opening๐ a loopstring is processed seemingly random.
/// As in each outcome has equal probability.
A random coil is the lowest-level [dim≤1] (unmapped) orientation of a brane. This unstructured position sample [an algebraic curve] is known* as its preimage (or illustrative state for both pitch and incidental tax determinance).I label it 'scribble'. Instead of being a specific shape/pose, it is a statistical distribution of all populated conformations (albeit, strictly those lacking subunit definition). If each conformation (walk) has equal probability or weight, then such coil is the acoustically-approximated bounds of some twistorspace. (compare denaturation, contrast identity)
/// +It is not uncommon to have multiple different coil(s) for the same `opus/string`.
+The orientation is that of algebraic curvature because topologically, random coils are random walks on curved surfaces. My given axiom is that `encryption` can be hidden in its algebra.

Function map: scribblesponge

### +double-u economics

u-u economics^ is the * leveraging spreads to configure loopstrings by auctioning fibor from Egglepple [portfolio: recto (EEE) = (micro) through verso (PPP) = (macro)]. (colloquialized as '`twist` economics'). `protocol:` train `objects` with `gameplay`. `Auction theory` is inherent in the `Quantumquotient`.
Because in twistorspace everything is symmetrical and dyadic (u,u), our parimutuel system (ie. a current between merchants and vendors [merchant.vendor hyperlinks], which yields a graph of transactions) is reliant on the interplay between hypercurrency and hypocurrency. So, structurally, the whole industry of Egglepple implies that juking leads to the creation of ¢ents which lay the foundation of a larger economic system. (see also pajamas, ๐จlnq's walk, cybernetic governance, carrots🥕+peach🍑)
/// By `definition`, a `currency` is `valuable` whence weight can be assigned to its `proof-of-work`.
+¢ents get recycled♻.
+We have an economy/economic system precisely because we are `using` a `jukebox`. Like with any `vending` machine, you can have whatever you want [demand] (as long as it is available [supply]), you just have to pay for it.

Mechanics
In this economy (:= flow of transactions), the house (UUe) will 'purse' (and not 'bank') parimutuelly; transactions happen in curvilinear time (T).
Function map: fiborUUelcometwist economicsPajamas

### +Hodge conjecture

Let X be a non-singular complex projective manifold. Then every Hodge class on X is a linear combination with rational coefficients of the cohomology classes of complex subvarieties of X.

### +determinant

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