Showing posts with label algorithm. Show all posts
Showing posts with label algorithm. Show all posts


Formulator: 🧑🏿Link Starbureiy
Mathemusic is 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 ¢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.🤓


(see sticker, stamp, touch-and-go, juke notation, fibor, hash, mathematical model)


Within the context of gameplay, a strategy is a genetic algorithm/heuristic* for solving a puzzle🧩 [ie. patch versus cover] and predicting/identifying (walk) patterns from random coil.** decryption↦heuristic, algorithm↦encryption Strategies are logged into behavioral cloning.

Our strategic goals are to find and exploit lower bounds on (the number of) plays it takes to arrive at a zero-bubble. (see touch-and-go, improvise, juke notation, UUhistlegrass)
/// Strategies are typically non-brute force, and not runtime-dependent.

+quotient normalization

Also known as 'optimal tuning', quotient* normalization (qn), or, plainly, normalization, is the (trans)act of regulating Egglepple so that the quantumidentity (a limiting function) is load-balanced when perturbations to the router are overweighted [eg. excess tokens].** of Stewart

The eventuality that - because the jukebox can purse^ but not bank - a quotient normalization implicates juking as complexity-agnostic (ie. is most fit) at inflection points [instances where (hyper/hypo) are renormalized (∞↦1)], would bias the Pink program to tipping (concavity or convexity).^^ Coupon partitioning is a function of credit; whereas taxation is a debit function. (see Quantumquotient, penny fret, 🧑🏿lnq's bubblegum, 🧑🏿lnq's walk, thread, parimutuel)
/// Quotient normalization is a preliminary step in parimutuel auctioning.

+pink poem

The Pink program* is a class of algorithms for proving the Juke Lemma.** Calls+declarations for string improvisation. A pink poem ('pink') optimizes juking ludology [ie. kernelized push movements (openingmiddlegameendgame)] for predicting Egglepple's imagery from its preimagery.++Each poem (a genetic algorithm / genetic algebra) is its own complete verse leading to fibor closure🔒. (see 🧑🏿lnq's Starting Five, UUhistlegrass, touch-and-go, opera, patch, cassette, UUelcome, #orchestra)
UUe /// +It is called a "pink poem" just because Link Starbureiy liked how that color [RGB:255,0,100] (I call it watermelon🍉) looked on the design of the UUelcome Matte (and for the matching letter p's😉).
+The Pink program is the recital (concert) program, and a pink poem is essentially a program note.
+Pinks share a common gameplay directive with 🧑🏿lnq's bubblegum.

+The Origamic Symphony🎶

Composer: 🧑🏿Link Starbureiy
The Origamic Symphony™℗ (O♯) is the totality of Egglepple('s) movements (ie. keys in sequence).

Resting atop the hypothesis that every brane arrangement is (geometrically) convertible, solvable, and scorable, O♯ is responsive to the calculus of Egglepple resonances (the program of the portfolio imagined as frets pertinent to stereotyping EGP).

"There is this beautiful symphony playing - everywhere, all the time."^ - 🧑🏿Link Starbureiy
^^ Symphonic evidence is its subject (UUelcome).
The symphony treats the entire portfolio as a (single loopstring*) path integral (line) subject to integration (including integration-by-parts [the twisting of pencils]) and derivation.** A continuous function. All walks are integrated in twistorspace, and output some stew derivative. (see UUelcome, Quantumquotient, UUhistlegrass, 🧑🏿lnq's Starting Five, Juke Lemma)
/// +The Origamic Symphony is the subject of 🧑🏿lnq's recital.
+Here "origami" specifies "p-brane (membrane/frame) folding". Namely, it is the twisting of measures (length) between the Planck and nano data.

+juke notation

Juke notation (jn, rhetorically called a verse) is the instrument-agnostic, language-independent, easy-to-decipher verbalization of some juke assignment as meant for proof. In signing, the alphanumeric notation is essentially low-level symbolic "play code"*; an algorithm devised to instruct the jukebox on how, when, and what to type in stereo [stew choreography].** Referred to as a track (for tracing some token). The Stewdio is the designated instrument for generating, reading, routing, and interpreting juke notation. (see hologram, touch-and-go, γ-proof, thread, jukespace. Compare genetic code, musical notation)
/// Juke notation was devised by 🧑🏿Link Starbureiy.🤓


An opera is the program (of opus numbers) of a libretto. (see opus, developus, opera ludo, hash opera, #opéra-ballet, ballet, #libretto, γ-proof)
/// To me, an opera represents the 'flow of a proof'. It can also be a runtime. The works highlight puzzles🧩 for identification.


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 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: loopstringγ-proofMONEYQuantumquotient


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

The number of unique plays (p) can be computed from the superalgebraic resultant: p:≡Sg, 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 juke 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, and so its number line must include 0 (hence 0 through 25). The minima (cover-0) is 0.0001220703125 and the maxima (cover-25) is 4,096.

Plays (fugue protocols) are implemented as jukes (written in juke 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)


Mathematics is an ambiguous way to prove or disprove ideal behaviors of objects.
/// An 'open story of counting', it must be said that mathematical methodology is a cumulative effort (ie. rigorously built atop previous checks).
As libraries* for synthesizing functions, mathematicians use its models to formulate (computability) theories/theorems/identities/errata.** We acknowledge the so-called 'Big Five (5)' active areas in mathematics to be [1-5 labeled alphabetically]: algebra [1], analysis [2], arithmetic [3], geometry [4], and music [5]. As far as I am concerned, the basis of math is juking. (see also mathemusic, mathletics, recreational mathematics, mathematical model, Mathilda, 📓So, you want to be a mathematician?, The Mathemagician, Opus Solve, physics, information science, game, cryptosport)

"The essence of mathematics is not proof, but conjecture." - 🧑🏿Link Starbureiy

/// +There are three (3) classes of mathematics: pure, applied, and recreational (pure,applied ∈ recreational). This definition covers all three (3), and may be referred to as polymathematics. A mathematician is someone who advances classical mathematics.
+In my line of work, I think of so-called 'recreational mathematics' as a type of (among other considerations) reverse engineering, where we are re-creating known structures/models for study and understanding. As an example, in 🧩puzzle solving, I may take a known and solved (from means other than juking) macromolecule (eg. protein), and juke that fibor so that it can identified+databased. (see also Pajamas)
+Mathematics is a type of low-technology, as well as being its own industry.

math.AG (algebraic geometry), math.AT (algebraic topology), math.AP (analysis of partial differential equations), math.CT (category theory), math.CA (classical analysis and ordinary differential equations), math.CO (combinatorics), math.AC (commutative algebra), math.CV (complex variables), math.DG (differential geometry), math.DS (dynamical systems), math.FA (functional analysis), math.GM (general mathematics), math.GN (general topology), math.GT (geometric topology), math.GR (group theory), math.HO (history and overview), math.IT (information theory), math.KT (k-theory and homology), math.LO (logic), math.MP (mathematical physics), math.MG (metic geometry), math.NT (number theory), math.NA (numerical analysis), math.OA (operator algebras), math.OC (optimization and control), math.PR (probability), math.QA (quantum algebra), math.RT (representation theory), math.RA (rings and algebras), math.SP (spectral theory), math.ST (statistics theory), math.SG (symplectic geometry)

+MONEY algorithm

procedure // make MONEY
1. begin juke
2. when cap = yield
3. then your coupon collects a dividend(¢)😊
4. else { no fitness } improvise
5. or echo {juke again}😉