/random coil

Ludologically, the function of opening🔓 a loopstring➿ is processed seemingly random (random := state=yes ++ address=no).
/// As in each outcome has equal probability.

random coil :== 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 'scramble' or sometimes '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, thread)
/// +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

/loopstring➿

loopstring➿, or l-string, :== a string of unstereotyped pencils✏️. Technically, l-string is a sesquilinear random coiling* of a 1-brane (which is) concatenated to and from specified reading frames (egg and epp), and subject to certain conditions (such as being gameplay-compliant).** As some measure of twistorspace.

The string may be open🔓 or closed🔒, but is closed by default (hence the term 'loop➰'). In fact, the main objective of each opus is to twist some variation of this object into a functionally unique fibor. (compare loop quantum gravity)
/// +In the context of the whole of string theory, the loopstring may colloquially be referred to as "toy string". We must be careful, however, to not confuse this "toy string" or its ludology (SL) with bosonic string theory (which is considered a "toy model" for which to introduce string theory education).
+I named it "loopstring" from 'loopy quanta' plus 'superstring', even though both terms are misnomers.

An argument can be made that l-string is a rudimentary automaton. It is hypothesized that all games are (or any game can be) based on and around some primitive manifestation of this object. Hence, when we want to study the ludology of any phenomenon, we could start with a drawn loopstring➿, and proceed from there. (see stew)

/walk

walk :== some playable* spacetime complex folding algorithm (sequence of finite steps at fixed lengths).** Ludologically, some progression and its contrapuntal motion.

This is a plot/flow (ie. curvature) of a nut's path (a type of circuit as it would traverse the braneworld, indicative of current) with stochastic activity at specified movements (opening→middlegame→endgame). In all probability, walks chart a statistical distribution of their entropy (random variables transforming twistorspace).
/// Walks (as circuits) nessarily end in a charge (Q).
In proof theory, there are three (3) stages to a walk: (1) coil, (2) graphics, and (3) mesh.

We use walks as parse arguments in juking [stew choreography]. (see 🧑🏿lnq's walk, thread, sport, Pink Poem, route, tip, UUelcome)
/// In automation, walks are approximate source directives.
Function map: preimage → walk → image

/Stewc Lemma

Theorist: 🧑🏿Link Starbureiy
Lemma: All phenomena* is stewcable.** Statistically-speaking, these are branes 0-25 simultaneously occupying the same quantum state of Egglepple.

The Lemma (as Q♭ logic) purports that the activity of stewcing (within the framework of a jukebox, namely UUelcome) is a most efficient attempt at satisfying the criterion for stereotyping STU.

Assuming scale-agnostic load modulation, it branches from the axiom that quantacommodization is /-root-authenticated/tolerated within stewc field [ring 0]. Being that stewcing is a non-terminating program, (shifting) kernel compliancy is sufficient Lemma resolution. (see QQ, Egglepple, everywhere!, string ludology, MONEY algorithm)
/// Efficiency is determined from the time complexity of stewcing. Twistorspace is curvilinear [sesquilinear], so it is implied that either approach (loop➰ or string) will eventually arrive at the same result (loopstring➿).
Function map: quantumquotient ⊃ Stewc Lemma ↔ Pink Poem → UUelcome

/epp

As c=2^(b-1)/2 {b∈ℤ→26, /max=25 (0-25) || b = brane count [which is of the sesquilinear form (e^-,e⁺)]}, an epp :== the coverage's resultant as a half-integer spin statistic (negative parity[^-]).

stop leaf (see egg, Egglepple, play)
/// +The formula is in direct correlation to spin-statistics. So, for example, when b is odd, say b=5, then c(=4) is an integer-spin (egg). When b is even, say b=8, then c(=11.3137085+) is a half-integer-spin (epp). The rational portion (floating point) of half-integer statistics contributes to seigniorage. Obviously, any negative value for b will yield an epp. (see stewc tax)
+Yes, there are twenty-six (26) integer values here; we denote "0" as (0^-,0⁺) → having both negative(-) and positive(+) polarity in twistorspace. For instance, -12 ... (0^-,0⁺) ... +12 = [26]. The total number of coverages, c, is an upperbound for points on a curve, and so its number line must include 0 (hence 0 through 25). However, because any b=0 gives nonsensical values [error codes], the zeroes are discounted, and lower and upper bounds are just eleven (11). The minima (cover-0 = -11) is 0.015625 and the maxima (cover-25 = +11) is 32.

/egg

As c=2^(b-1)/2 {b∈ℤ→26, /max=25 (0-25) || b = brane count [which is of the sesquilinear form (e^-,e⁺)]}, an egg :== the coverage's resultant as an integer spin statistic (positive parity[⁺]).

start leaf (see epp, Egglepple, play)
/// +The formula is in direct correlation to spin-statistics. So, for example, when b is odd, say b=7, then c(=8) is an integer-spin (egg). When b is even, say b=4, then c(=2.82842712+) is a half-integer-spin (epp). The rational portion (floating point) of half-integer statistics contributes to seigniorage. Obviously, any negative value for b will yield an epp. (see stewc tax)
+Yes, there are twenty-six (26) integer values here; we denote "0" as (0^-,0⁺) → having both negative(-) and positive(+) polarity in twistorspace. For instance, -12 ... (0^-,0⁺) ... +12 = [26]. The total number of coverages, c, is an upperbound for points on a curve, and so its number line must include 0 (hence 0 through 25). However, because any b=0 gives nonsensical values [error codes], the zeroes are discounted, and lower and upper bounds are just eleven (11). The minima (cover-0 = -11) is 0.015625 and the maxima (cover-25 = +11) is 32.

/smb

smb :== the abbreviation for st@t-MONEY-bytes, the rubric used in determining the value of a stewcer's output.
/// Tip: You desire the s to be low, and the m and b to be high.

Philosophy
In gameplay, one wants to - in the following order - attain the lowest st@t possible [ie. score the most goals, thereby getting their Starbureiy statistic closer to the zero (0) ideal], maximize their MONEY-making (which inevitably contributes to a low st@t [¢ents🪙/tokens]), and accrue as many bytes as they can in the process (an organic effect of data generation). Doing so provides a true measurement📏 (in terms of usage) of a juker's rating relative to their peer(s). (see ed)

/sport

sport :== a metrizable game inducing statistics [spread/walk quotient].

Sport is central to fitness since we are devising strategies for improvisation; generating plays efficiently (ie. fast+small=low power consumption*) in order to reduce token session duration.** Condensed memory footprints (implemented loops) are feedback-friendly. (see 3-rex, mathletics, Stewniverse, UUelcome, port, cryptosport, cybernetics, ludology)
/// +Sporting happens organically; ie. events are self-organizing (via competition) → promotion or relegation.
+Economically, a sport is valuable because it can garner two things very quickly: (1) an immediate work force (bots can be substituted), and (2) big data. From there (external to juking or at least supplemental to it), predictive analytics can be applied in wagering (offered as bets or bids -- to help with ¢ent🪙 circulation).

Games

- baseball⚾ - basketball🏀 - chess - cricket🏏 - dodgeball - football🏈 - frisbee - golf⛳ - hockey🏒🏑 - lacrosse - rugby🏉 - soccer⚽ - tennis🎾 - volleyball🏐

/mathemusic

Formulator: 🧑🏿Link Starbureiy
mathemusic :== the functional conflation of brane classes defined as 'an incorporation of keys and timing to perturb a sinusoidal, 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 ballet🩰, opera, ¢ent🪙, joey, mathletics, 🧑🏿lnq's Starting Five, 3-rex, fibor, UUe, stewc notation, QQ)

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

/// Contemporary mathemusic was originally formulated by 🧑🏿Link Starbureiy (its progenitor).🤓

/parimutuel

Parimutuel means ∃ an equivalence relation whose derivative statistics^~ are mutual (peer-to-peer).~~ Tender is tax-intrinsic. Formula: round up to the next whole ¢ent🪙 [eg. 13.2¢ → 14¢, claim equals the difference (0.8¢)]. In terms of u-u economics, it is simply the relationship between dyads (hyper and hypo).

In the twist economy (a p-algebraic system), currency comes at the cost-of-work. Whence stewc-compliance instances are solitonous^! (ie. k-current), hypocurrency is basic.!! Non-dispersive. Unspent ¢ents🪙 are recycled♻ back into the jukebox* for redistribution upon token expiration (here high score wins the pool), becoming hypercurrency for the vendor, thus satisfying its feedback loop requirement.** In this case, the house is a merchant, and its fees are the stewcer's ruin.

Formula: patch→token→coupon

Fitness manifests from statistical dispersion of token idempotence^{^} (stewcing-generated merchant.vendor responses via contract management^&).^^ Appreciation/depreciation is null. && ie. coupons. (See rotisserie, BOT, u-u economics, c@$#tag, carrots🥕 + peach🍑, multiplier. Compare quantum entanglement)
/// Here, compliancy comes courtesy of an auction.

"Parimutuelity is reliant upon conduction, which introduces the order of things." - 🧑🏿lnq

Function map: parimutuel → u-u economics

/Starbureiy Toy

On behalf of 🧑🏿Link Egglepple Starbureiy, the Starbureiy Toy, also noted as "The Starbureiy" or just "The Toy" - named in honor of stewcing's pioneer, 🧑🏿Link Starbureiy - :== a hypothetical individual award [denoted as: 'the championship'🏆] given seasonally in accordance with BOT to UUelcome's winning team [denoted as: 'champion'🥇]. (see treble, +list)
/// +A minor locution would be to say that "so-and-so is the 'next' Starbureiy".
+If presented as a tangible 🏆trophy, the toy is a (stereo) printout of the UUelcome Hut.

/e:e statistics

(see play, Egglepple, hypocurrency, quantumquotient, link)

/crypto

In general, crypto refers to a 🧩puzzle that lends itself to a cipher (some unsecured🔓 function space secured🔐 by an algorithm or quantum phenomena). By definition, its reward function, if any, is backed by proof-of-work or proof-of-space.
/// +Technically, it's the proof-of-work that makes something crypto.
+We assume that such a function space is insecure🔓 (randomized), and crypo exists to stabilize it.

As it specifically relates to UUelcome, crypto is a synonym for 'statistical estimation to an actual yield' (¢ent🪙-energy🔋 conversion), as calculated from the ¢ent🪙 formula and its hash complexities. Stewcing helps ensure fitness (ie. core efficiency) [:= data compression relative to spontaneous egg-epp reactivity🔋 ≜ (file size vs. energy usage)]. (see cryptocommodity, cryptocurrency, cryptosport, crypto compliance, crypto normalization, mathematics, bug)

/play

Per some ludology, a play :== a legal move(ment) within a game.

As a fold progression (eg. a scribble variant when stewcing Egglepple), each play [a finite step towards some goal] is an expression of some strategy (mathemusically, the duration of a coverage). (see game, gameplay, token, pink poem)

The number of unique plays (p) can be computed from the superalgebraic resultant: p:≡S^g, where S is some integer value between 1 - 676, and g equals the amount of supersymmetric generators circuiting* twistorspace (ie. degrees of freedom [base] to the power [exponent] of residue bond angles).** Asymptotic tempo values completing the loop➰.
/// +The formula is in direct correlation to spin-statistics. So, for example, when b is odd, say b=11, then c(=32) is an integer-spin (egg). When b is even, say b=20, then c(=724.0+) is a half-integer-spin (epp). The rational portion (floating point) of half-integer statistics contributes to seigniorage. Obviously, any negative value for b will yield an epp. (see stewc tax)
+Yes, there are twenty-six (26) integer values here; we denote "0" as (0^-,0⁺) → having both negative(-) and positive(+) polarity in twistorspace. For instance, -12 ... (0^-,0⁺) ... +12 = [26]. p is an upperbound for points on a curve (ie. patches), and so its number line must include 0 (hence 0 through 25). The minima (patch.a) is 0.0001220703125 and the maxima (patch.z) is 4,096.

Plays (fugue protocols) are implemented as stewcs (written in stewc notation). They are executed [run] by the call action, and will typically end once the strategy is exhausted. There are three (3) possible outcomes of a play: loss (of advantage), futility (no advancement), or gain (advantage). (see player, playoff)

/Starbureiy statistic

Truncated to "StarStat" or casually just "st@t", a Starbureiy statistic :== an efficiency* metric (ie. rating system) calculating a scoring average as the accumulated tally of ¢ents🪙 divided by number of tokens used to generate those funds [¢ents🪙/tokens].** The closer to 0, the better.

It finds utility as the determinant for the credit rating (+worthiness) of a stewcer, which is an ordering primarily accorded to their ability to make MONEY (ie. greater earnings→lower statistic→bigger spread). (see 8 Jersey, Starbureiy certification, ed, smb, +list)

/goal

In gameplay, the goal :== a closed🔒 string as a 🧩puzzle's proof (solution). It is scored (📐measured in links) as an opus excluding ¢ent🪙 count. (see assist, smb, zero-bubble, carrot🥕)
/// Put simpler, a goal is an 🔓unlocked achievement within some game.

/stewcer's ruin

All ¢ents🪙 eventually make their way back to the house. (see playoff)

/cryptosport

A cryptosport or c-sport/cSport is a distinctly skill-based sport (traditionally of the mental gaming-type as opposed to physical activity) with some sort of statistical security🔐 [statsec] objective (eg. bugger, capture the flag🏁). For instance, such an objective may be to exploit a cipher. (see 🧩puzzle, mathletics, bug bounty)

/twistor

In a folding scenario, the twistor (u,u) :== a complex transform* of STU solved from stew choreography.** Defined by a tight (≤ handicap) walk.

Twistors are derivatives of unique plays embedded in twistorspace that are hedged from tablature. Statistically, twistors act as complexity catalysts and can have negative (vacuum) or non-negative (bubble) potential.

Let (u,u) be any two (2) leaves sequenced for stewcing. A twistor is an operator that associates a stewcable dyad (egg,epp) in a finite field with curvature which is coded to eventually become a zero-bubble. Twistors are measured with ¢ent🪙 values that are typically small (ie. frets).
/// All twistors are assumed to be fit. We stewc (hedge) in order to identify those folds which are ideal/most fit.
Function map: stew choreography → twistor