**algebra**. Show all posts

**algebra**. Show all posts

### +Hodge conjecture

*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*.

### +juke tax

*ei*y

**Juke taxation**is a form of compliance 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. The imaginary number,

*i*, completes

^{^}the twistor space value as seigniorage.The

**tax**is

`parimutuelly`

embedded in each fret. A contribution from the rational portion of half-integer statistics. (see also font, tip, Quantumquotient, 📓juke tax as universal basic income, common ¢ents, expression, cybernetic governance)
Note (+): In |

### +puzzle

**puzzle**is a combinatorial event or toy lending itself to ludological inference [preimage→image] (ie. all

**puzzles**beg to be solved*).

`Decrypted`

and/or `encrypted`

.Juking-wise, our

**puzzles**are asymmetric rondos in a three (3)-act continuum: bug-bid-bounty = arithmetic+algebra(curvature)+analysis(logarithm).

Note (+): |

### +Double U economics

*ei*y

**Double U**

**economics**

^{^}(trademark) is the protocol* leveraging juke taxation to configure the payload by auctioning stews from the portfolio: [recto (EEE) = (micro) through verso (PPP) = (macro)].The fungibility of

`assets`

. Inherent in the `Quantumquotient`

; colloquially called '`twist`

economics', the '`twist`

economy', or *sewing*.

Because in twistor space 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 is 'united under economy' (implying that juking leads to the creation of ¢ents which lay the foundation of a larger economic system). (see also pajamas, lnq's walk, cybernetic governance)

Note (+): ¢ents get recycled♻. |

Mechanics

In this economy, the house (

**UUe**) will 'purse' parimutuelly; transactions happen in curvilinear time (

**T**).

Function map: fibor ⇒

*←*

**UUe**lcome**twist economics**→ Pajamas

### +random coil

Note (+): 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). Instead of being a specific shape, 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 twistor space.I label it '

*scribble*'. (compare denaturation)

Notes (+): +It is not uncommon to have multiple different coil(s) for the same |

Function map:

**scribble**→ sponge

### +twistor space

**twistor space**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 close🔒 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 field, the fibor (as measured in ¢ents) would not bifurcate (into MONEY or bubblegum) as a function of symmetry-breaking.

Notes (+): +We assume that each |

**Twistor space**' complexity is

*curvilinear*(

**T**)*.More accurately,

*sesquilinear*. (see also handicap, jukespace)