Showing posts with label formulae. Show all posts
Showing posts with label formulae. Show all posts

### +juke tax

Intrinsic to u-u economics, juke taxation (or simply tax) is residue (ludeiy's pip) from juking as a dyadic fluctuator (ie. fungibility maintenance = standard excise) 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/user` fee `parimutuelly` embedded in each fret. Funds get recycled♻, springing `cache-credit idempotence`. ^^ A contribution from the rational portion of half-integer statistics. (see ¢ent, MONEY, font, residue, token, quantumquotient, quotient normalization, ludeiy, juker's ruin, carrots🥕+peach๐, ๐juke tax as universal basic income, common ¢ents, fret, Juke Lemma, cybernetic governance, DUCK๐ฆ, local zeta-function, hyper/hypo-currency)

"We can see that taxes are important in Life, not because of greed, but because Nature's way of dealing with insecurity is to bound residues to an algebraic curve." - ๐ง๐ฟLink Starbureiy

/// In `cybernetic governance`, taxation is a seigniorage/excise applied to utilities (ie. energy) costs.

### +FUN Formula

This simple formula is the premise behind all things operational in the Kindergarten. As it pertains to well-being, pleasure is a function of leisure. Therefore, fun is the enjoyment of this activity. It is calculated below.

The variables are defined as follows: function (F) is equal to utility (U) multiplied by some natural number (N). Hence, fun is always a positive thing. The equation works in direct proportion to ๐ง๐ฟlnq's ego; so, the more fun lnq is having, the stronger the field of invincibility it generates. (see Funday, FUN 4)

### +play

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 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)

### +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 signal (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 handicap, juke field, coverage)

### +Starbureiy statistic

Truncated to "StarStat" or casually just "st@t", a Starbureiy statistic is 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 juker, 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)

### +handicap

An opus' handicap, or just cap, is its projected yield, as measured in ¢ents (compounded to dollars). It is computed from the product of the actual fret (plus tax) multiplied by the maximum number of Q♯๐ถ semitones* (cap = fret ⊗ 2,600), thereby completing the ¢ent formula.** One-hundred (100) ¢ents each.

This figure constitutes the extrema of the opus it represents (akin to how much twistorspace it occupies). The cap is a spread (security estimate) that places a quote on the calculation derived from the above equation. Bounded extrema (minima/maxima) would constitute a potential loss for the juker/gain for the house, which can be rectified with improvisation. [Handicap commutations (≡) are fonts.] (see coupon)
/// Losses here are absorbed by the `jukebox`; `jukers` get no refund. But, `improvisation` (ie. `fibor-bundling`) can keep the `game` afloat.

### +fret

A fret (ie. activation fee/price-per-token) or coin is a conjectured ideal phenomenon in juking. Theoretically, it is the "lowest-level juke [as one-twenty-sixth (1/26th) of a sporadic group]" at one ¢ent (penny), where the value is derived from the ¢ent formula [fret = logn(b/a) | {b,a = (u,u), n = font size × font weight}]. Its representative tablature indicates the range from which integer-spin statistics are obtained. (see bid)

The significance of the fret (and the idealism of it) is its extreme affordability; one ¢ent is considered to be Nature's disposable income. Mirroring chemistry, the fret would be the lowest available energy level [resonance].

In everyday vernacular, most, if not all, jukes hedging opus handicaps are assumed to be so-called "(penny) frets". That is, their fret is typically worth "pennies on the dollar" or "cents on the dollar". The fret itself may be an accurate description of a general deposit because standard coupon deviation is registered by table.
/// +In `theory`, attaining a per-¢ent fret is challenging because of tablature efficiency conditions; where the greater the number of pencils (and hence ¢ents), the heavier the `string`, `resulting` in a `juke` with a wild count.
+In practice, a pure 'penny' (1¢) fret is infeasible in two-dimensional (2d) `vector space` because such a fret is not congruent with any `handicap`, and for this reason, we improvise (ie. choreograph in `twistorspace`). `Routinely`, `quotient normalization` happens when the `handicap` becomes saturated.

### +Gallivan fold

In origami, a Gallivan fold, or g-fold, is a genus of paper folding. The paper (a 2-brane) can fold in either single or alternating direction [each must adhere to its own equation (width versus length)], and the fold phenomenon is always one-half (1/2) of the folding direction. It is based on - and named after - the paper folding theorem of Britney Gallivan.