+mathemusic

Formulator: 🧑🏿Link Starbureiy
Mathemusic is the functional conflation (via brane classes) of mathematics and 🎵music (defined as 'an incorporation of keys and timing') whose resultant is a γ-proof. This tends more towards being a supermathematical exercise grounded in the principles of music theory. However, it is practically expressing (with libretti) statistics in the framework of music (even sans sonically). Cryptologically, it is the algorithmic direction of variation*.Solutions have melodic texture. When we speak of mathemusic, we are generally doing so in the context of The Origamic Symphony🎶/Egglepple. (see also ¢ent, mathletics, 🧑🏿lnq's Starting Five, 3-rex, fibor, UUe, juke notation)

"All I hear is mathematics. All I see is music." - 🧑🏿Link Starbureiy

/// Contemporary mathemusic was originally formulated by 🧑🏿Link Starbureiy.🤓

+γ-proof

A yesegalo proof, or γ-proof (or just proof), is a juking algorithm mapping some preimage to its image. Proofing substantiates a fibor, thereby providing (its) identity clarification.^!While also helping us draw up better heuristics. The opposite of a proof is an error. Each proof involves patching two (2) genera in T: yesegalo↔meshroom.^{^} A framework for conduction: does a ballet groove with(in) the Symphony🎶?

γ-proofing tasks: determine the efficiency of an EGP encryption [ie. solve the given puzzle🧩; is the resulting fibor economical (fit within the handicap)_|(u,u)=0|?].

The proof itself is scored* as a stereotype (sequenced shapeframe) in some overall random walk.Proofs of juke input are published (to the ledger) in juke notation. The end🏁 of a proof (solution) should result in the closing🔒 of a string (eg. fibor), ideally a zero-bubble. We endeavor to find the most secure🔐 proofs by improving upon the bounds on classes of twistors. Doing so aids our MONEY-making. (see also juke notation, mathematical proof, proof.m)
/// As with the traditional printing press, the primary reason for proofing is to provide confirmation/verification that a job (done) is accurate. Doing so draws a consensus (from independent, third-party sources -- read: jukers) for the creation of a new standard. It is important to note that proofs are unique (ie. duplication is forbidden on the circuit). All proofs are published to the ledger.
Function map: loopstring → γ-proof → MONEY → Quantumquotient

+juke tax

Economist: 🧑🏿Link Starbureiy
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 cent, MONEY, font, residue, token, Quantumquotient, quotient load normalization, juker's ruin, carrots🥕+peaches🍑, 📓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.

+Quantumquotient

Theorist: 🧑🏿Link Starbureiy
The Egglepple^@ axiom [abbreviated as the Quantumquotient (QQ^{^}), or, in the context of juking, "how to typeset"] postulates an algebraic curvature key (ack) - the quantum - for measuring some quotient of currency with which it is idempotent.The theorem (itself a macro ctf🏁) was first posed by 🧑🏿Link Starbureiy, who, in suggesting QQ is provable, conjectured that token-based automata is ideally both kernelized and fungible.🤓 May colloquially be refered to as '🧑🏿lnq's eyes' (see 🧑🏿lnq's motif). A lemma of QQ seeks to exploit (with gameplay) the fitness of e:e statistics [a saturated load-balancing from twistor residues].^#∃ a transactor between preimaging and imaging. -- Problem: show that ¢ent homotopy is normalizable. Hint: classifying all fonts should suffice.
/// +To control compliancy.
+The hypothetical solution is to resolve the Juke Lemma (ie. fully sequence EGP). QQ can be proven (shown to be true) with identities.

Overview
The Quantumquotient always assumes current abnormalcy^~ (ie. hyper/hypo ≠ 1, and P ≅ BQP).statistical volatility Plainly, it is a query into how much (an estimate) of a given hyper/hypo is optimal (ie. MONEY)(?). In a parimutuel system, the hyper- numerator can remain (hypothetically) asymptotic* iff there exists a hash function (auction) that can bring about perpetual normalization.This is because the set of fonts is infinitesimal compared to the total fibor count.
The aim is for persistent/redundant cache-credit idempotence (global cryptic hyperlinking), which [(hyper,hypo) ≅ crypto] would be theoretically achievable with a fully secured🔐 [sequenced] payload (courtesy of double-u economics). (see also Juke Lemma, juke tax, string ludology, UUelcome, Starbureiy automaton, The Origamic Symphony🎶, +list)

Function map: Q ... Juke Lemma → ... Pink program → γ-proof

+font

It is conjectured that Egglepple's family of fonts exist between amplitudes on a cryptograph. These motifs* are analogous to string tunings, and aid in the stereotypography of fibor.Array of typefaces. (see also font weight, font size, MONEY)

Ludologically, as the definitive endgame🏁, we are said to find a font at the bijection in twistorspace where a dyad is an identity; that is, when an opus' measurable and permutable extrema commute (ie. idempotent yield deviation ≡ 0^{^}).That is, fret = 26¢ WITH handicap = ^$676.00. (see also foam) Monetarily, a font is the transactor between the supremum (hypercurrency) and the infimum (hypocurrency) of hashes on the ledger (ie. where hyper/hypo is optimal/most secure🔐 -- transaction with no tax).
According to jukebox operation (rotisserie), the complete count* of fonts (f) is simply ballet coordination in sesquilinear form, so f=1,352 [from encrypted (676) plus decrypted (676) classes] × 1.5 = 2,028.Each opus leaf set contains three (3) fonts as a statistical mean.
/// A full sequencing of the payload (UUelcome) should reveal all motifs.
Function map: subchemistry → font → chemistry || open string → font → knot || font ⊆ MONEY

+random coil

Ludologically, the function of opening🔓 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: scribble → sponge

+MONEY

Inventor: 🧑🏿Link Starbureiy
MONEY™ (Mathemusically-Optimized* Normal Encrypted Yield) is the Quantumquotient resultant from γ-proofing (some permutation of BIG branes).Efficiency (ie. fitness) is determined by proximity to the handicap _{(||inf ≥ (u,u)=0||)} relative to how many tokens are used.

"You need BIG branes to make MONEY." - 🧑🏿Link Starbureiy

Numismatically, MONEY [hyper/hypo = 1] is fit fibor (strict tertiary structure) earned [reward] by juking. After attaining a 0-bubble, the yield is the attribution of ¢ents drawn from that loopstring arrangement. A fibril requirement is that the yield be equal to the handicap (ie. commutativity) for MONEY qualification. Otherwise, it is bubblegum [yield = handicap, else bubblegum].^{^}However, fibor bundling can still objectively make MONEY via improvisation. (see also font, lyric, Juke Lemma, 🧑🏿lnq's bubblegum, common ¢ents, quotient load normalization, cryptosport, MONEY algorithm)
/// The total ¢ent amount is finite (per each opus), while the tabulation of jukers and their scores relative to an opus - or to the Opéra-ballet (Stewart) as a whole - can never be greater than the available ¢ents. This helps prevent double-spending.
Function map: session → γ-proof → ¢ents

+juking

Ludologically, (the sport of) juking is the demonstration, control, and/or improvising of a particular juke [ie. the instance of securing🔒 twistorspace by probing its acoustic bounds (with error detection/correction)]. The appliance for doing such is a jukebox. Someone who does so is called a juker. Pertaining to UUe, juking - a form of cryptography - is of bugger (ctf🏁-style) 'cryptosport'* logic. Complexity-wise, token duration is between P and E, with proofing orchestrated in curvilinear space (T).see mathletics
/// I like to say that juking is brute force mathematics as 'an exercise in optimization from auction theory'.
To juke is to summon a redeemable option (the coupon) on a continuous event that is predetermined [to at least one (1) party]. In this case, jukes are proxies for the statistical variance of the tablature complexity, and serve to hedge some handicap. Jukes themselves generate cachecredit (provided from seigniorage on coupons); being synonymous with coin insertion [deposit] for traditional jukebox activation and dispensing.
Juking was invented by 🧑🏿Link Starbureiy.🤓👌🏿
According to string ludology, juking is reflexive to double-u economics; making that the foundation of our pursuit. The overall intent behind juking is to image Egglepple (ie. juking is the preferred method for sequencing EGP).
/// +Because juking is injective, the juker absolutely keeps what is earned (minus any fees).
+Fibor classification requires twistorspace manipulation, which is the basis of stew choreography.
The process of stereotyping is done by encrypting/encoding EGP onto a brane (juke = pencil ↔ glyph). This is accomplished using stew choreography. Juking is considered to be economically fair (ie. games are randomized and thus no one has an advantage), that is, risk:payoff ≪ payoff:risk. (see also Pink program, mathemusic, touch-and-go)
/// Sans pure 'penny' frets, the value of a juke is always rounded up to the next integer (unless the juke itself is an integer). Example: a tablature divisor of 0.054... becomes a 6 ¢ent fret. This seigniorage ensures the house always stays afloat.

+signature

A signature is a server-side authenticator in a proof-of-work scheme.
[Do not confuse with key signature, time signature.]

Because each opus/fibor has an injective ¢ent value associated with its image, only a finite number of ¢ents can be allocated to a signee (ie. juker). Such game logic (cassette+certificate+token) designation requires genuine digital validation/verification before or so push/pull requests can be approved for transaction (known as securing🔐). Otherwise, a user can hypothetically create counterfeit (non-injective) assets - hijack the platform to forge proof - which is fraudulent and disallowed. (see also juke notation, coupon)
/// Signatures, manifested in tutti progression, are ultimately a means for reducing rotisserie stress.
As a further integrity measure, this data is defaulted to the ledger (as public information).
Function map: patch → γ-proof → cassette → signature → UUelcome

+thread handle

+Starbureiy certification

A Starbureiy certificate ("Starbureiy certified") is bestowed upon an individual or institution once they have satisfied a specific cryptographic key (ie. courseware(s) completion). (see also ed, +list)

+melody

Cryptographically, a melody is a commuted* walk.Relative to the handicap.
/// +Similarly, because fonts predict conflation between a countable number of loopstring, opuses giving the same fret may also be considered in this definition.

+This is part of a game's de facto/standard middlegame. Melodies provide a general (scale-agnostic) template for feasible tertiary structure design. (+groove)
If a strategy works (that is, its proof of supersymmetry reveals a fibor or fibor bundle [lyric]), then that encrypted coil [stereo structure] is said to be melodic. (see also font, groove, meshroom)
Function map: groove ↔ melody

+tutti

The tutti ("all together" or "recombination") is a responsive heatmapping of all cryptographical kernel components [stereotypography, operation, integer asymptotics, and ludology (SOIL) hashes] onto the libretto. (see also puzzle)

Function map: tutti → UUhistlegrass

+coverage

A coverage is the twistorspace posture (ie. formation) for surjectively graphing a [supersymmetric] zone on(to) some pitch.

As cryptographic shape schemes [puzzles🧩], coverages are fundamentally mutable and dynamic; spanning the entire range of branes(SMALL + BIG). A coverage can be (strategically) both preventive and responsive. (see also #coverage, egg, epp, patchwork, cassette, Honne Bay)

+Matilda

Composer: Link Starbureiy

ornamentation

[recapitulation]