Showing posts with label Mathilda. Show all posts
Showing posts with label Mathilda. Show all posts

+how polym@th works here

There are some/other [massively] collaborative👥 domains across the WWW that are geared towards doing mathematics+computation innovation (what has been referred to as 'polym@th') in one (1) or more logs. I'm too lazy🤥 to pinpoint each one for this note, so I'll go ahead and make this portal/webpage (tree-dependence is negotiable) yet another place* for low-technology idea incubation.My aim is to make this the hub for such activity.

I should start by mentioning that just having a messaging💬 system is sufficient, but that can invite trouble when careless.🤢 To that end, please stay on-topic (pure/applied/recreational math-related); portions that are inadmissible face revocation👎🏿. All polym@th sourcings (hints, compiles, proofs, etc.) are tagged📎 under #polym@th (as opposed to #juking or #polymath), so any @replies from me (@Lnq) that are addressed to (specific members from) the community (ie. readers, etc.) will be placed in the post header. Pages are MathML-enabled, but the kicker is that, since I detest LaTeX!😖, such scripting (it might not parse, anyhow) in that syntax (rather, try to avoid Greek/Latin symbols wherever possible unless essential) is muted; points should be illustrated with (annotated) models [I favor 🖌Paint 3D/Builder at the moment, usually in tandem with a spreadsheet - but other 3d modelers should work as long as the file system🗃 is compatible]. Considering that we are iterating, sketches/pictures move the chain along much faster, anyways.😜That's just to say that I don't care for the coding element (MathJax noticeably slows load times); inherent math symbols in word processors are fine as long as they render.
Lastly, pay attention! Since things are organic and move at the speed of thought💭 here, you can expect a very large number of public domain threads. And yes👍🏿, posts may be bounced around between (third-party) forums.

+notice: hiring mathletes

This industry - juking - has a lot of growth to look forward to. With lots to expect, there's a definite need for both technical talent to carry out the vision, as well as the athletic participants themselves.

With LSTv up-and-running (thanks, YouTube!), I'm not to need some stuff for viewers to watch. Namely, you playing in your preferred sport while decked out in UUe gear.

That said, LES is hiring mathletes (athletes who have a background with juking principles as they relate to the creation of new walks).

+name-changing Ballet Mathilde

Much like with the recent name change for 'Stewart's Opera' to plainly 'Stewart', the title of our ballet has been simplified from 'Ballet Mathilde' to just 'Mathilda'. Notice that the spelling of 'Mathilda' (pronounced "mah-til-duh") uses an 'a' to replace the 'e' in the former, this is partially because 'Mathilda' is actually named after someone (although there is no 'h' in her name, which is used here to highlight the fact that we are interested in mathematics). The hashtag (paperclip) for Mathilda is: #Mathilda


A thread impression (tip) is some type of hashed ornament (strategic or involuntary) serving hosted output [runtime]. Put another way, a tip (as weight) is payment* for a recompute (at an inflection point) of a string.'Monetization of frames'. (see also ear, Double U economics, expression, UUallet)

Note (+): The exercise of tipping usually comes in the form of (an) advertisement.


+The Mathemagical Society

The Mathemagical Society was an ill-fated project of Link Starbureiy at creating a come-all learned society and problem-solving noun for mathematicians under the sponsorship of The Egglepple Company.

Note (+): The Society later resulted in BOT proper.

+fantasy juking

+major league

+minor league

+lnq's Starting Five

Composer: Link Starbureiy
lnq's Starting Five, Link Starbureiy's Starting Five, LS5, or The March 5, refers to the mathemusical quintet (5-stack) ensemble - having originated with and prepared by him - that shape his repertoire* (other works aside). They are (in no particular order): The Origamic Symphony (symphony) complemented by Stewart (opéra-ballet), Mathilda+RONALD (complexity), EGP (tonic), and UUallet (concerto). This suite is jukebox (UUe)-ready, digested on uuhistlegrass, and recited&.Main program oeuvre for both conducting twist economics+recital fulfillment. Theatrically, it features Link Egglepple Starbureiy (lnq) as he embarks on his puzzle-solving / own rationality. (see also yots, developus, lnq's bubblegum, swoon, touch-and-go, UUelcome, License, +list)

Notes (+): +The 'starting five' is an athletic reference to team sports in which teams (of at least five players) will begin a game or match with their/its decided starters on deck.

+Puwun is Link Starbureiy's muse (akin to a sixth man/woman - first off the bench, so to speak).

Mathilda tv logo Mathilda

Composer: Link Starbureiy




A kernel patch is an ephemeral - and typically incremental - permutation to some thread. Patches help calibrate stew choreography (with inflection point controlling for sake of reduction), and are arbitrary iteration mechanisms on the tree; hence, patches are (decorative) bundling objects for securing🔐 hashes to the ledger.
Included in the patchwork pipe (a-z) is the prepatch ('prep'), which is a pre-release of an official/actual compile. These usually will highlight new objects that need to be tested before committing to a stable (release). (see also toonage, bubblegum, coverage, improvise, y-proof, cassette)

+fibor bundle

A fibor bundle (a function of taxation) is two (2) or more fibors combined/connected, which itself forms another fibor. This is Egglepple's quaternary structure. (see also minor scale, major scale)

Function map: minor scalemajor scalefiborfibor bundle




+ The objective of polym@th is to build a distributed computing client that ingests donor processors for juking. This creates a persistent compute layer for normalization.
polym@th will be available for public benefit.



As both parts are necessary to fulfill our objective, the distributed computer (cluster) and the compute layer (layer) will be handled symmetrically.

+ Cluster.

+ The Millennium Prize Problems (MPP) are a set of open problems in mathematics sponsored by the Clay Mathematics Institute (CMI). Each Problem comes with a bounty of $1million/per for its proof.

Birch and


existence + smoothness

P versus NP


Yang-Mills /
mass gap
We purport to standardize all elements of the remaining six (6) MPP with the aim of improving UUe's logic (desideratum: algorithms applicable to walk calculus). The Problems present their own subset(s) of potential solutions to various financial scenarios. Each Problem has - over the years - had substantial work done on it already, so there is a vast library from which to study.

MPP was chosen for compute layer incorporation primarily because the Problems are state-of-the-art.

What is sought is radical insight into what exactly needs to be computed. From there, it's just a matter of patchwork. Each instance will be treated as its own workload:
- BSD - use of elliptic curves for better and best-practice cryptology. New an improved schemes are being deployed all over the network on a constant basis, and our compute layer would need better security against zero-day exploits.
- H – "This conjecture is a metaphor for transforming transcendental computations into algebraic ones." - DARPA

Any progress on this is appreciated. In our case, the algebraic cycles here deal with the EGP tonic itself. The solution is simply gameplay. Lots and lots of gameplay. EGP is transformed based on its signature settings (time or key). We are trying to reach both a minimum (211) and a maximum (212) upperbound on the twistor types. We have an answer (juking), but we don't have the solution [an algorithm for obtaining the precise (min/max)].
- NS – show that the equations have smooth solutions for blowup time. Additionally, solve the problem of turbulence and related (molecular) force fields. The turbulence portion is mighty; not because we care so much for the physical system, but testing the stochasticity of markets generally lends itself rather well to chaotic properties.

I anticipate future UUe builds having a composable (simulated) viewport of Lnq, and we want the animations to be fluid and realistic (i.e., with more developed curl operators in the scalar field).
- PNP - directive for algorithm research in cognitive automation. Take an exhaustive look at this problem from both directions: P = NP and P ≠ NP. Each argument is information-rich with much to be gained.
- R – we would like a full/complete study of prime number oscillations. This is relevant to minor l-string fonts. For example, since primes are the smaller of the two number systems in the portfolio, does that make a difference in overall stew choreography .. in every setting?
- YM – since we have a real field, can we instead assume that the vacuum is negative (as opposed to strictly 0)? And in doing so, does this have any impact on our twistor values? The mass gap problem is most essential to TOS, because it would give us a formality to the ‘glue’ (holds and ties) in our structural motifs.

The itinerary for Opus Solve is divided into three (3) sections: Problems, software, and economics. The first thing that we're going to do is tackle the pure mathematics in order to extract algorithms from theory. After accomplishing this (in tandem, really), coding the software for managing the cluster is the next step. While it's plausible to devise algorithms based on the current literature, attempting to make a seminal contribution brings a better understanding, overall. The last part is taking the work to market, where the payoff (returns for shareholders) is a quotient dividend.
It's been demonstrated that the best way to get something done is with expedience. CMI organized these Problems in the Year 2000, and to-date, only one of the original seven (7) has had its submission commuted. That's unacceptable. I vouch for speed; the quicker this gets to critical mass, the better.

All of the Problems are to be tackled simultaneously, but only one (1) will be reported at the end of a work period. The Opus commences as soon as it's affordable (according to budget), and each Problem is allotted as much time as needed within a span of twelve (12) weeks. Since I anticipate the bulk of the development time to be consumed by (software) engineering, algorithm extraction will be done in short order .
Round raise: $21,000
Share price: $21
Quantity: 1,000
Payout cap: $231k (ROI = +$210, P/E = 10)

Buy shares

Closing: December 3, 2015

+ Hedging is the practice of using companion funds to offset risk. Certain opuses have financial demands that must be supplemented with hedges. The process of hedging is tasked through shareholding (equity). This prospectus page has a built-in checkout procedure allowing for either shopping or eleemosynary.

- In constructing the client, we must take into consideration the need for large-scale databasing in terms of manipulation and analysis of the massive amounts of information (text, images, renderings, scripts, etc.) from a large number of actors over the course of months. This costs money.

Also, this is an enormous endeavor (attempting to solve one of these problems is a big deal in itself, so imagine the logistics of all six simultaneously), and these tasks require my attention where it could be used elsewhere. So, in order to compensate for any potential losses in not doing my other impresarial duties (whence that is the case), I anticipate hiring help (called residents) with some of these administrative tasks. That costs money.

On the machine-side, use of electricity, computers (processors, storage units, etc.) for data synthesis, simulations/animations, in addition to software development all cost money.

I estimate that it will run me at least $7k/month (@$1,200/Problem). This is not to say that the Problems themselves are super-complex, but building the peripherals can take a considerable amount of resources (depending on how many people are employed and with what it's compounded). But, literally, the bigger the investment, the faster I can get this stuff done.

Investor confidence
You are partaking in equity crowdfunding. This is a vehicle used to raise capital through a private placement of shares (equity securities) in a commercial enterprise, in this case, a product only, and not a business or company.

Potential investors are expected to do their due diligence when making an investment in any venture.

This activity is regulated by the Securities and Exchange Commission, under Title III of the Jumpstart Our Business Startups (JOBS) Act.
Ronald Ellis, MBA, is advising on risk and compliance. Mr. Ellis has more than three (3) decades experience in treasury management, having engineered a handful of enteprise-class payroll applications and legacy people resources tools. He holds electrical engineering degrees (BSE, MSE) from the University of Pennsylvania, in addition to a master's in business administration (finance) from Wharton.

A certified public accounting firm will handle financial reporting and assurance as soon as there is a need to audit instruments.

There are two (2) parties that own the stakes: Link Starbureiy (majority) and shareholders (minority); the latter are buying a percentage (%) of the total payout after an opus closes. Monies are raised in a series of rounds. There will be at least one (1) and at most three (3) rounds of opportunity.

Known as the house, Link Starbureiy will determine what percentage of the payout (called the cap) potential shareholders are entitled to before solicitation and issuance of those shares. Shareholders are then offered those securities at fair market price by the house.
There are at most three rounds of investment opportunity (called a fundraising goal, round raise, or just raise). They are: Series A, Series B, and Series C.

Series B raising is always greater than that of Series A (Series B > Series A). Series C raising is always greater than that of Series B (Series C > Series B). Hence, Series C raising is always greater than Series A (Series C > Series A).

A raise consists of an offering of a finite/limited number (quantity) of shares at a set price (share price).

fundraising goal = (share price) x (quantity)

The house determines the payout cap based on the round. Each round has a set time frame in which forecasts are expected to be dialed. For Series A, dues (earnings call) come at 3 months. For Series B, dues come at 6 months. For Series C, dues come at 9 months. The cap is based, in part, on earnings. A shareholder's return on investment (ROI) is determined by the round. An ROI is congruent to earnings-per-share, as a price-earnings ratio* (P/E) multiple.

Traditionally, an enterprise with a (P/E) between 10-17 is considered fair value.

ROI = (share price) x (P/E)

This number is what the investor can expect to get per share at opus closure.

Series A is typically a low-yield, so the fundraising goal is relatively small, and the turnaround time is short. The P/E is ten (10) times the share price. The ROI then is (share price) x 10.

Series B is typically a medium-yield, so the fundraising goal and turnaround time reflect that. The P/E is 12.5 times the share price. The ROI then is (share price) x 12.5.

Series C is typically a high-yield, so the fundraising goal is normally high, and the turnaround time can be long. The P/E is fifteen (15) times the share price. The ROI then is (share price) x 15.

We arrive at the cap by multiplying the total amount of offered shares by the expected return on investment, and including the fundraising goal.

cap = (ROI x quantity of shares) + raise

Investors are rewarded using a form of electronic payment. At the close of the opus, you can elect to receive your returns via direct deposit [in which case, your banking information (account and routing numbers) must be supplied], hyperlink transaction (e.g.,, SQUARE Cash, etc.), or by check. In any case, your provider must use a secure socket layer of protection for the transaction to be considered.

Purchase notes:
> You can order select items through the checkout API. Doing so will immediately charge your bank processor.

When you order an item, you are guaranteed a format of that version (and whatever incentives were promised) on or before the release date. No refunds or exchanges will be offered.

> To place an order, follow these steps:
1. Select the green checkout API button (example: + Checkout) and follow the instructional prompts.
2. After your selection is made, your information (name, item, payment information, etc.) is added to a server-side database. You are charged for the item immediately.

Questions and Answers (13)
+ Why build and use a distributed computer (DC) versus a scalable data center?
- The evolution of computing follows the choices and behavior of the people that use it. The world is going mobile and small these days, and so, having a large server farm (i.e., cloud hub) for instance, is impractical for getting everyone to instinctively commit some data or processing power at some ration at any given time. Storage warehouses - like datacenters, have to be built from the ground up, maintained (climate control, facility security, etc.), and periodically updated. That is a neat exercise in information technology (IT), but really expensive and impractical if you have to monitor the minutiae of moving parts.

We must presume that everyone's situation and computing configuration is different, and respond to that. What would end up happening is that the huge datacenters themselves just become nodes on the grid, anyhow (albeit, very potent ones); contributing - just like you - to the eventuality of Lnq becoming the largest and most powerful supercomputer in the world. The best part about it is that the DC will be available for any device (and its user) to participate.

+ Will the DC system software interfere with my normal device usage?
- The program is coded to specifically not interrupt your normal day-to-day activities. You shouldn't notice much in the way of the program itself because it will run in the background (at low priority). It is also optional to turn the program off and (back) on completely or partially; that is, if you still want to participate in some way.

+ Does this contain malicious software?
- No. Security measures are being taken so that installs from (or the final domain/mirror) will not be harmful to or jeopardize the integrity of your machine or the network. We expect to solicit independent audits from industry-standard compliance and operation (e.g., SSAE 16, ISO 27001) organizations before shipping.

+ How is the confidence level so high for MPP resolution?
- Twistor space gives us an ideal look into string behavior. The Juke Lemma propositions that all phenomena is in some way relative to the l-string. Any problem can be solved (or at least modeled) with computer animation (frame interpolation relative to hertz). With respect to MPP, all one needs to compute (for frame establishment) are the walk calculus algorithms dictated by the math. This will/should give us coordination on how to close the string. In reality, because the selectables are vast, the workhorse is the processor, which is where this program finds utility.

+ Is this project affiliated with CMI?
- No. I am running this independently, and (at least initially) without partnership from the Institute.

+ Per the stated rules, will the results be published in a journal?
- Yes. All threads and accepted commentary will be published in the UUelcome Matte (ISSN 2165-6738) by default. The final write-up for each Problem will be submitted to their respective refereed journals at the conclusion of Opus Solve. Results will also be pushed to (which was used by Perelman for his proof) and the Internet Archive. These may be incremental updates or an altogether featured output, and will be formatted as a portable document.

+ Why do you use handwriting in your work?
- It's a matter of taste. I find it much easier for me to express my ideas when I can scribble.

+ I am having difficulty viewing this page in my browser.
- It is recommended that you use a non-mobile web browser when viewing this page/site. It was designed for screens of a certain size that accept keypad input, and may not be optimal for your mobile experience. Also, I'm really feeling Microsoft Edge, the default browser for Windows 10. The ability to mark-up a page (and share it) makes collaboration that much more appealing.

+ What is the key ingredient to a good apple pie?
- Cinnamon.

+ When will this developus product be live?
- Lnq is scheduled to launch in early Spring 2016. That means that the software should be running by then. At some point over the course of the months leading up to launch, you should be able to logon to and (with your permission) the site will automatically begin using your computer's processor.

+ What tools are being used for this work, and what do you recommend others use?
- Regarding the compute layer (i.e., on the math/theory side), clustered game consoles (Playstation, Xbox) handle the bulk of the processing. There is a growing need for both servers and storage. Piggybacking on third-party cloud computing services (e.g., Amazon WS) picks up much of the slack, but can be costly. Software-wise, my digital canvas is pretty much a painting application alongside Sketchup for visual design, as well as some homebrew stuff. Souped-up spreadsheets are my preferred choice of a calculator (no gripes with Mathematica/Maple/MatLab – and if you have those that’s great, but their price points may be a deterrent for beginners).

+ This says that you are designing a royalty-free distributed computing architecture. Did I read that right?
- That is correct. The LES design philosophy is to architect an open toolset. Solve certainly falls under that category. The aim is to gather as much processing power as possible, and the only way to do that is to liberate the platform so that others are encouraged to donate their cores.

+ Are mirror sites allowed?
- If the question is if copies of the site are allowed on separate domains, the answer is no. At least not while the work is active. After Opus Solve is done and published, I’ll make notice of a downloadable XML file that can be ported to your site.
Tip: One of the best ways I have found to work on math problems is to put it on par with software development methodology, meaning that the work is to be done organically (with patches) and presented wholly (using batches). So, instead of looking to harvest a fine-tuned piece of fruit, start with the seed, and continue to nurture the soil while it grows. Always remember that since mathematics is more often than not a cumulative endeavor, it is okay to treat progress with a scratchpad.

Good luck!

Function map: polym@thpajamas


Mathletics (etymology: math+athletics) is any scenario where the actual act of doing mathematics is turned into a legitimate sport. In our case (cf. juking), mathletics* is the mapping of fitness metrics - namely walks - to their respective fibors [mathletics = preimageimage] (ie. a technical understanding of the mechanics to a specific play run), thus making ludology a normal component of recreation. Mathletics may also be defined more primitively; for we can say that the ability to gamify any puzzle-solution (specifically one of capture the flag🏁 objectivity with a 🥕bounty program [🏁→🥕]) is a demonstration (ie. competitive flexing) of being subjectively 'mathletic'.Contextual juking. (see also recreational mathematics, cryptosport)

Furthermore, (in gameplay) the mathlete is someone who uses EGP to decrypt/encrypt walks from entropic events. More succinctly, the mathlete is a sport performer (or coach) with priority to act out some particular ballet. In terms of so-called "mathleticism", its definition is of a person's (here, the "mathlete") potential to obtain a high score (translation: earn ¢ents) in competitive mathletics. (see also mathletic scholarship, mathemusic, Mathilda, treble)

Note (+): Mathletics is classified under recreational mathematics.

"The existential test of a mathlete is their ability to maximize their earning potential." - Link Starbureiy

From an historical standpoint, I called it 'mathletics' because after reading the book "Hyperspace" by Michio Kaku, particularly the part where the author enticed readers to find a solution to string field theory, I ended up later creating the EGP Keynote (based off of what I perceived to be a hinted challenge from Kaku). Had I been in academia, this may have been a community effort, but since I worked (as a tendency) in isolation (solo) at the time, I chose to treat it like a sport. Hence the origins of my recreational approach to mathematics.🤓

Big-O Tree

Big-O Tree (BOT!) is UUe's metre.Like 'algorithmic botany'.
Pursuant to symphonic compile time, BOT is our auction arguments map for measuring nuts [per brane (Egglepple) sequencing]. On this graph, each node represents a ballet and its spacetime complexity* [(PE) ∝ T]. Thus, there are 676 (262) parent branches on the tree🌴 stemming from said leaf ports.Cache flow

Notes (+): +The fitness workflow is the cumulative generation of loop-erased walks (ie branch prediction algorithms).

+Although "Big-O" behaves mathematically like big O (limiting behavior of functions), the 'O' in the name is actually for 'org' (as in opus organization).

Issue-tracking and related specifications for Big-O Tree are indigenous to the UUelcome Matte. Such specifications help sew (control fibor threading) our cellular fabric. (see also bigo tree)
Function map: signatureBOTpajamas

The Origamic Symphony™℗

Composer: Link Starbureiy
The Origamic Symphony (TOS) is a mathemusical simulacrum whose algorithmic composition lies generically between any 26-measure scale; but, architecturally, the Planck and nano scales [domains] (known as subchemistry, Cs). Specifically, it is the totality of Egglepple('s) movements.

Resting atop the hypothesis that every brane arrangement is (geometrically) convertible, solvable, and scorable, TOS 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

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. All walks are integrated in twistor space, and output some stew derivative.Symphonic evidence is its subject (Egglepple). A continuous function. (see also UUelcome, lnq's Starting Five)

Notes (+): +The Origamic Symphony is the score of UUelcome.

+Here "origami" specifies "p-brane (membrane/frame) folding". Namely, it is the twisting of measures (length) between the Planck and nano scales.