While closely related to my post on Portable Tak Notation (PTN), the discussion and development of a positional notation is separate enough (and may become long enough) that it deserves it's own post.

If you're not sure what I mean by a positional notation, it's akin to FEN for chess. Where the PTN is concerned with the moves made in a game of Tak, a positional notation is concerned only with recording the positions of all the pieces at a single moment, as well as information like whose turn it currently is. Using positional notation it is easy to set up a board to continue a game that had to be adjourned without having to replay every move as you would to do so with only the PTN. It also makes it possible to create and share puzzle positions to exercise tactical thinking.

Pieces

There are only 3 possible pieces in Tak, the Flat Stone, Standing Stone, and Capstone. I'll continue to identify them as F,S,C. Rather than use difference in case (upper vs lower case letters) to separate players, as in FEN, it seems much clearer to use the player number, 1 and 2. This is largely because there are so few pieces in Tak and the great majority of them will be flat stones. The top piece on a stack is the only one that can be something other than a flat stone, and so is the only one that needs to be specified. After a stack is defined, the piece on top should be identified if either a Capstone or Standing stone. A Flat Stone would otherwise be assumed, as with every other stone in the stack.
The other needed representation is an empty square, which I will denote as "x".

Notation Format

Since the Tak board varies in size, squares and rows need to be delineated differently. I'd propose squares separated with commas and rows separated by forward slashes. The notation begins with the upper left square and moves across and down in the board in the same manner as reading, so that if you were to put a line break at each forward slash you would have a crude representation of the board from player 1's viewpoint. The player turn and full move number will be given after the board each separated by a space. This gives an empty board (5x5) layout of:

[ x,x,x,x,x/x,x,x,x,x/x,x,x,x,x/x,x,x,x,x/x,x,x,x,x 1 1 ]

Empty Square Condensing

Empty squares are always going to be numerous in Tak until the endgame, and so I feel that any p

I am in my first computer course in college and am in chapter two of the text. I don't understand the way they are explaining positional notation. I have never taken a class on computers, so I don't really understand anything about number systems.

Thanks a lot. Help is GREATLY appreciated!

A bit of warning, I am primarily a physicist by training so I might be missing some really basic ideas, if that's the case a link that explains what's what would be appreciated.

Today I was struggling with a numerical simulation that kept overflowing quite badly, I started digging around for solutions other than the usual multiple precision math library. I found this paper with some interesting ideas: http://home.ccil.org/~cowan/temp/p319-clenshaw.pdf (warning pdf).

The thing that got me interested was that any representation of a number suffered from a lot of draw backs, fixed point, floating point and the floating exponentials they advocate there all need just as many (or more) digits as positional notation to point to a specific natural number unambiguously in the general case. Yet the positional system manages to have only [; log_{b}(n) ;] symbols for any natural number from an alphabet with b symbols, while that same number that takes n symbols to represent in the unary numeral system.

What I can't really get is how such a huge lossless compression of numbers is possible for a seemingly trivial increase in the alphabet used, e.g. only one more symbol in the case of binary. Is there some deeper reason for this, and is there some trade off in going from unary to positional that I haven't noticed? And further is there some similar system that can write numbers in [; log_{b}(log_{b}(n)) ;], or better, symbols for a similarly small increase in the size of the alphabet?

Minecraft's code already has some built-in functionality for raycasts which is inherently much more efficient (and precise) than the clumsy iterative raycasts that datapacks tend to implement. It would be extremely useful to be able to tap into this, via a small tweak to existing command syntax with relative notation: "execute positioned ^ ^ ^5r" would be the same as "execute positioned ^ ^ ^5" except that it would perform a raycast-against-solid with a maximum range of 5 blocks, picking the point of contact rather than the full distance if there is one. Similarly, "tp ~ ~-100 ~r" would teleport you downward up to 100 blocks, placing you on top of the first solid block directly below you. The command "execute if block ^ ^ ^4r minecraft:stone" would execute if the player is looking at a block of stone within 4 meters. Even this simple feature would make many datapacks more efficient, more reliable, and less daunting to implement as their makers wouldn't need to create their own raycasting functions.

(It's also easy to imagine extending this to accept a block predicate as well, so that ^ ^ ^10r[#leaves] would stop at the first leaf block within 10 meters, instead of the first solid block.)

Taking intermediate algebra just seeing if this is a rule

The Kaktovik Iñupiaq numerals are just brilliant. It's a base-20 number system, based on our two hands and two feet, that was invented by Iñupiat students in Kaktovik, Alaska in 1994.

Artifexian has a really good video on why these numerals are so great: Why These Are The Best Numbers!

When I first saw jan Sonja's precise number system (wan, tu, tu wan, tu tu, luka) I realized the two were almost identical. The way the Iñupiaq numerals are drawn fit so well with jan Sonja's system, it's almost like they were made for each other. The numbers are drawn exactly as they are spoken in Toki Pona (up to 19).

https://preview.redd.it/9psccn8d5ky61.png?width=526&format=png&auto=webp&s=2915a28c4e28233a31e2d38f7bc4a9894a8b2c69

• 0, ala: x
• 1, wan: \
• 2, tu: \/
• 3, tu wan: \/\ (literally tu and wan)
• 4, tu tu: \/\/ (literally tu and tu)
• 5, luka: ¯
• 6, luka wan: \̄ (literally luka and wan)
• 7, luka tu: \̄/ (literally luka and tu)
• 8, luka tu wan: \̄/\ (literally luka and tu and wan)
• …

(Sorry for the poor formatting of numerals, please see the illustration for what they look like.)

From 20 one could use a positional system like the Iñupiaq do, where 20 is \x. Just like 10 in our familiar base-10 system, only here it means 20. Answer to the Ultimate Question of Life, the Universe, and Everything (42) is \/\/. 400 is \xx.

One issue is how to pronounce numbers above 19, for example 442 (\VV). Maybe nanpa kulupu wan en tu en tu? Or, because base-20 in Toki Pona is kulupu nanpa Wikesima, maybe Wikesima wan en tu en tu? Compare to ali ali ali ali mute mute tu (found here).

I know, any precise number system is not really pona. But for a precise number system, I think this is as pona as it gets. It makes arithmetics much more intuitive than the base-10 Arabic numerals we've been taught. In that sense, I think it is pona. And for occasions when you need more precision than wan, tu, mute.

You just have to get used to counting with your fingers and toes :)

Last month, the Kaktovik Iñupiaq numerals were accepted as part of Unicode 15, to be published next ye

Hello, some of you might recognize my name I have been a writer here for some time, this particular write-up has been a strong passion project for me over the past few months. Aspects of this write-up include quantitative analysis which I have best tried to explain, this story lends itself to a visual format. So if you wish you can see my video on it here. For the purpose of this write-up paragraphs in Italics are 'exposition' from me. Feedback is very much appreciated.

[Long]

Introduction and Background:

In 1967 the meteoric rise of Bobby Fischer began, starting one of the most dominant runs in chess ever seen. Setting a record 20 game long winning streak against elite competition defeating grandmasters Mark Taimanov, Bent Larsen, Tigran Petrosian, Oscar Panno, Svetozar Gligoric, Wolfgang Uhlmann, Duncan Suttles and Jorge Alberto Rubinetti. All this culminating in a match between Fischer and Boris Spassky for the world chess Championship. With Bobby Fischer representing the USA and Boris Spassky the USSR the match would become highly publicized as the world was watching. Fischer played with an incredible and unseen level of skill often taking Spassky by surprise through intentionally playing a number of different unique openings. Eventually resulting in a dominant performance by Fischer; with a final score of 12 and ½ to 8 and ½ in favor of Fischer. leading to Fischer being in contention for the title of 'Greatest of All Time'.

Fischer became a household name, and spurred on a whole new generation of Chess players within the US and across the world. Featuring on talk shows such as, The Dick Cavette show and The Carson Tonight Show as well as appearing in major publications such as the cover of Sports Illustrated. However just as quick as he came, Fischer with the same speed disappeared from the public sphere; turning down future chess matches and hiding from his own popularity.

On the 17th of January 2008 Bobby Fischer would pass away in Iceland at the age of 64. Leaving the world wondering if he ever did reach his true potential, due to playing very few games after 1972.

After his death and in the years since then, a small rumor has persisted. This rumor centering around a particular website – The Internet Chess club.

In fact this very Sub had covered the mystery in the past, and saw a certain level of attention. Click [HERE](https://www.reddit.com/r/UnresolvedMysteries/comments/ac

Hi

A few of you might remember my last post about this plugin, but just in case you don't I added a refresher on what was possible before at the bottom.

What's new?

• You will actually be able to test it since I am going to publish it to the plugin store as an EAP
• The Plugin can now ensure you use the same dependency declaration format in your entire project
• The plugin tells you how to declare plugins in a more idiomatic way

implementation("a:b:c") vs. implementation("a", "b", "c") vs. implementation(group = "a", name = "b", version = "c")

Migrating to Positional

https://i.redd.it/meyu6cpn1mu61.gif

Migrating to Named Arguments

https://i.redd.it/swaaiqqp1mu61.gif

Migrating to notation

https://i.redd.it/l7z6ular1mu61.gif

Use more idiomatic Kotlin to apply plugins

https://i.redd.it/ln1rmo5l2mu61.gif

Known issues

• The settings UI is broken
• Dependency format is currently project based the application based setting does nothing
• Auto convert currently always uses the notation format
• You need to reopen the build.gradle.kts tab after adjusting settings

What already was possible (and now gets released to the public)

Converting Groovy dependencies to Kotlin

https://i.redd.it/h2dk26zs1mu61.gif

Converting Groovy plugins to Kotlin

https://i.redd.it/2rd9bbzu1mu61.gif

Converting ' to " if possible

https://i.redd.it/xq9gqakw1mu61.gif

Where can I get it?

Right now you can only get it by downloading it manually since it's pending approval.

https://plugins.jetbrains.com/plugin/15341-gradleupdater/versions/eap/117802

Edit: It got approved: installation instructions: https://github.com/DRSchlaubi/Intellij-GradleUpdater/pull/6#issuecomment-824583779

Where is the Source?

Here: https://github.com/DRSchlaubi/Intellij-GradleUpdater/tree/develop

Why does the dependency format inspection not work?

Chances are that you might need to change the dependency format you can do that here:

https://preview.redd.it/ip7siq434ou61.png?width=982&format=png&auto=webp&s=37445767d92baa0eea9d8d98c47e1f99b8a445a1

I’m gonna repost this, since the downvotes this post is getting is more than usual, they really don’t want this to be seen. Credits to Dennis Kelleher u/WallSt4MainSt

——————

Citadel buying DC regulator to keep markets rigged & dark

Not going to post very often unless I really think it'll be of interest, but it was just announced today that the most recent Chairman of one of Washington's most important financial regulators, the Commodity Futures Trading Commission (CFTC), was purchased, er, I mean hired by Ken Griffin at Citadel; as www.bettermarkes.com press release below states, this is how they rig the system against you ( https://bettermarkets.com/newsroom/epidemic-regulators-selling-out-highest-big-finance-bidder-undermining-public-confidence):

The Epidemic of Regulators Selling Out to the Highest Big Finance Bidder & Undermining Public Confidence via the Revolving Door Must be Outlawed

Washington, D.C. – Dennis M. Kelleher, President and Chief Executive Officer of Better Markets, issued the following statement in response to reports that the most recent Chairman of the Commodities Futures Trading Commission (CFTC) was just hired by Citadel Securities:

“The announcement that the most recent Chairman of the Commodities Futures Trading Commission (CFTC) has been hired by Citadel Securities as its Chief Legal Officer is just the latest regrettable example of a senior government regulator appearing to sell out his public service to big finance via the revolving door. Recent ex-regulator hires at Robinhood, Coinbase, D.E. Shaw, Apollo Global Management, Spring Labs and many others preceded this latest revolving door hire by Citadel.

“This is little more than legal corruption and bribery. That’s why the revolving door used to be looked down upon as disreputable and sleazy, often referred to as ‘influence peddling.’ This undermines the trust and confidence in government by the American people and it demoralizes the many hard-working public servants who sacrifice to actually serve the public.

“Out of hundreds of millions of Americans in the workforce, it is implausible that these people are being hired solely on the merits. They appear to be p

ERRATUM ON TITLE: THE MOASS WON'T HAPPEN UNTIL OPTIONS ARE REGULATED.

LET ME START WITH A QUICK INTRO: SO WE ALL KNOW HOW HF ARE HIDING THEIR SHORT POSITION.

Actually, even the SEC knows, since they wrote a "risk alert" on it in fuck** 2013.Strengthening Practices for Preventing and Detecting Illegal Options Trading Used to Reset Reg SHO Close-out Obligations.

LET ME SUMMARISE THIS RISK ALERT FOR YOU

How do HF manage to make it look like they covered? Easily, with 2 types of deceptive options trading.

1. A buy-write trade, i.e. selling deep ITM call + buying a synthetic long share from MM
2. Buying a married put: buying an option put with a synthetic share.

What's the difference between selling calls and buying puts?

Well, not much, it's a question of obligation vs possibility, but in our scenario, it does not matter much.

Why buy a synthetic long at the same time as the option?

They use the synthetic share to appear as if they "close" their short position. Pouf FINRA number goes down, Bloomberg writes an article " GameStop Short Interest Plunges in Sign Traders Are Covering" saying the HF have covered, end of the story.

How can they buy a synthetic long?

if a market maker buys options from an options writer, the market maker has legal privileges to do a version of “naked shorting” as part of their hedging function. This is necessary, under the current rules and the current system, for market makers to protect themselves when facilitating options trades.

Do buying synthetic long have an impact on the price of the stock?

Well, I do not think so, since they are not part of the float, they are not purchased on the market.

It it good news or bad news?

Well, we are not sure. There is a theory saying that the FTD cycles are getting bigger and it will only get worse for them, but I don't like the wait and pray tactic when we're dealing with HF. To me, it's rather a bad news to only rely on HODL and pray for the MOASS to start without the regulations in place to force short to close their positions.Their deceptive options duckery means they can reset their FTD indefinitely, the close-out requirement (which will trigger the MOASS) will never be enforced, and we are fucked.They are not bleeding as we thought they were.

2021 Final Mock Draft

4/24/2021

Included in this mock:

• Realistic landing spots for 32 first rounders and later picks for the teams without a top pick
• Player comparisons based on playstyle more than perceived impact
• More specific position descriptions (see explanation below)
• Confidence Intervals (see note below)
  • Best and Worst Cases to go along with the intervals, that is, the highest and lowest a player should go

Mock Draft Below

Position Explanations:

We all know the positions on a football field, at least traditionally, are QB, RB, WR, TE, OT, OG, OC, DT, DE, OLB, ILB, CB, S. While these are valuable in their own right, prospects can be categorized more accurately. It does no good to call a player an OT when he may end up playing guard. Similarly, calling a player a LT may not be accurate if they end up moving to the other side.

I tried to be more specific with my notations. They are as follows:

• X Wide Receiver: Boundary player with size and speed. Can function as a deep threat or a possession receiver. Ex: Mike Evans
• Z Wide Receiver: Boundary receiver with alignment versatility. Tends to win with nuance just as much (or more than) athleticism. Ex: Davante Adams
• H Wide Receiver: Primarily a slot (inside) receiver for size/strength/speed reasons. Ex: Jarvis Landry
• Move Tight End: Capable of playing wide receiver, slot receiver, and traditional tight end. Ex: Darren Waller
• Versatile OL: Capable and experienced on both sides of the line and inside-outside. Ex: Jonah Williams
• Left/Right Side OL: Experienced at tackle and guard on one side of the line. The saying is, “moving sides of the line is like wiping with the other hand” (Marshall Newhouse). Ex: Michael Onwenu
• NT: Run Stuffing lineman playing over the center (1-Technique). Ex: Vita Vea
• IDL: 3-Technique or 5-Technique that offers more rushing the passer. Ex: Chris Jones
• EDGE: Outside pass rusher. Ex: Myles Garrett
• Off-Ball LB: Inside LB in a 3-4 or Hybrid Defense, LB in a 4-3. Ex: Devin White
• Boundary Corner: Better served staying outside rather than shadowing or playing slot. Ex: Richard Sherman
• Slot Corner: Defensive counter to slot receiver. Ex: Bryce Callahan
• Hybrid Defender: Capable of playing multiple roles on the back end of a defense (S,LB,CB). Ex: Derwin James
• Box Safety: Safety with more run responsibility. Lines up closer to the line of scrimmage. Ex: Kam Chancellor
• Deep Safety: Responsible for the deep middle in a cover three

A simple request/proposal. All too frequently I see threads that discuss strategies, unit layouts, compositions, et c that use specific unit placement as a focal point, but the terminology they use is confusing. It's not the fault of actual users sharing their strategies or info, we just don't have standardized notation for the Board/hex layout, and so here I come to try and put an end to that issue. Letter/Numerical notation.

Here is a quick image example I pumped out in less than 5 minutes to help articulate my notation.

For those that don't click the link - For the vertically descending rows, you count 1 to 4, and for the horizontally extending columns, you use letters A through G. While the hexes aren't perfectly situated so that the actual board is a grid shape, there's still an equal amount of hexes per column and row, so you just have to mentally adjusted to the Even rows pushing a half of a hex to the right.

An example of the notation being used:

If you want to use a single Kled to solo the PvE rounds, instead of saying you put him middle right (confusing, vague without an actual image on hand to pinpoint which hex), you say you put him at 1E. Conversely, if you want a Vlad to solo the PvE rounds, instead of the "right nook" (again, vague) or the "Vel'koz hex" (terminology from Set 3 that isn't common knowledge), you'd place him on Hex 2G.

But why the negative numbers for the enemy's board/hex layout?

Good question. Honestly, I debated even adding an enemy board to the image and notation, because most of the time, you're only going to need the know the notation for boards on your side of the screen, as everybody shares the same viewpoint, and moving to an enemy's board presents it that way. However, there may be very specific scenarios where it'd be useful to have notation for when you have to calculate an enemy's positioning, and I feel it'd be a lot easier to say "-4A" over trying to do the quick mental process of remembering that the board is flipped horizontally, thus the enemy's carry is 4G, but on the other side (IE using Shroud or Zephyr and notating what placements enemy units need, to get maximum use out of the item).

On October 8th, 1976, 16-year-old Curtis Skoog was busy mowing the yard at his family’s home in rural Benton County, Indiana when his father, Norman Skoog, passed by on his combine. Shortly after, Norman pulled into the driveway, this time in his pickup truck along with Curtis’ grandfather, Everett Daulton, who lived nearby. Knowing something must be wrong, Curtis approached the truck to see a white cardboard box sitting in the bed.

Norman had spent the day harvesting his “back 40,” acres of corn along Benton County Road 200 South. Around 5pm, while harvesting in a remote spot about a mile-and-a-half from the Skoog home, he made a bizarre discovery. A white cardboard box wrapped in tape and rope sat on the ground roughly nine rows deep in the field, approximately 15 yards off of the gravel road. Norman had nearly ran over the box with his combine. When he got out to investigate the box, he realized it was far too heavy for him to lift alone. He left on his combine to get his father-in-law and his pickup. Together, they loaded the box into the bed of the truck and drove it to the Skoog home.

Curtis was first to notice the pungent odor of cheap perfume coming from within the box. Using a pocket knife, he sliced open a section of the box to find a broken vial of perfume lying atop something wrapped in layers of plastic. Concerned what may be inside, Norman phoned police. He told Curtis to return the vial to the box and wait for the Sheriff to arrive.

Sheriff Donal Steely arrived at the Skoog home a short time later to inspect the suspicious package. As he began to cut into the thick sheets of heavy plastic and rope, a new foul smell wafted out of the box. Steely decided he should contact the State Police before proceeding any further. Indiana State Police arrived and opened the box. Beneath the layers of plastic sheeting and rope, they discovered the body of a woman. The body was taken to the local coroners office, and later an autopsy was preformed in Lafayette, Indiana.

It was concluded that the woman’s cause of death was from a small caliber single gunshot wound at the base of her neck fired at close range. The bullet was never recovered. Her death was estimated to have occurred 7-10 days before being found, but it was noted that very little decomposition had occurred.

She was found in the fetal position with her knees pressed firmly against her chest. Her body was bound with rope and her hands were tied under her knees. Her head and face were wr

By now many people have noticed that the borrow fee for GME is very low. But I think a lot of people still don't realize how low this number actually is. We can compare GME to other hard to borrow stocks last week.

Trader's insight recently put out a report of the top 15 hardest to borrow stocks, and GME made the list at position number 3

By pulling data from iBorrowDesk and FinViz, we can compare our favorite ticker to some of these other stocks and get a sense of what is going on with GME.

This is insane. Not only does GME have by far the fewest number of shares to borrow, but the fee is almost nothing. It's hard to get a sense of how far out of whack GME is with the rest of the universe from numbers, so I made a chart to help visualize the gap:

https://imgur.com/a/rAdI591

On the X-axis, we have the normalized available shares, which is available shares to borrow / float. On the y-axis we can see the borrow fee. I had to make this LOG SCALE in order to be able to even see anything due to how distorted the numbers are with GME. There is a general trend that as the available borrow shares goes down, you see borrow fees go up (though some stocks have generally more shares and may be more liquid, affecting these numbers). We can see that TKAT's borrow fee is quite high at 543%, given that there are almost no shares available to borrow right now.

But LOOK AT GME! GME has even fewer shares available as a percentage of its float (they even ran out last we

Hi all, only really started with this all recently and one of the things I have trouble with is visualising/understanding how it all starts and ends.

So I looked at the text ( in my case Marozzo ) and tried to transcribe it into a codified manner. Mich like a plan or dance path.

So far so good - but if someone else has done it and from my brief look on t'interwebs nothing obvious comes up . Has anyone else tried it ? Links? from reading the somewhat confused writing of Marozzo it'll be tricky, but it can't all be like that .

Hi all,

I'm a player who's played via tab for many many years. I'm trying to learn to read notation and struggling a bit. I've bought Debora Chen's Standard Notation For The Tab-Addicted Mandolinist and it is helping, but I'm feeling like I'm being held back slightly by a lack of knowledge of where the notes are on the fretboard. I mean, I can work it out to a point, but I feel like I'd be able to move forward a lot more quickly by having a better knowledge of the note locations.

Does anyone know any good exercise in order to improve their fretboard knowledge? If so, please share!

It just is like... if I hear someone say they played at the F7 point, and don't have the coordinates right in front of me, I have to count in my head what position in the alphabet 'F' is anyway. It's just super annoying and I don't see the point.

Hi, I've been playing guitar for two years. I know sheet music already, I can sight read on piano pretty fine. I've known how to read sheet music for four years. Every resource I can find for learning guitar sheet music assumes I don't know how to read it. I just need help knowing where notes are and how I'm supposed to translate what I read on the page onto the fretboard.

TL;DR: I know how to read sheet music, but I don't know the fretboard. What resources are there that can help?

Little bit confused. What i understand is that the largest positive integer is (2147483647) which in hexadecimal is (7FFF,FFFF) and the largest negative integer in 32-bit 2's complement is (2147483648) which in hex is (80000000). Adding these two hex numbers would give zero result. Am i right, Please clarify?

TL;DR: The pop-based performance problems probably stem from treating pops as "agents" – as individuals. By treating them as numbers instead, more pops won't equal slower game.

In 3.0, Paradox introduces some changes to pop growth. One of them was to introduce an empire-wide growth penalty for each pop grown. This, in large part, was done to reduce the overall number of pops in the late game as a performance increasing measure. However, it has brought with it some weird effects like it being virtually impossible to fill an Ecumenopolis (not to mention Ring Worlds) because they show up too late so by the time you get one you have enough pops that they grow at a glacial 1 pop per 3 years per planet.

The goal of this post is to explore how we could change the pop system so that a large number of pops is no longer a performance problem. Because of this, I will be using numbers and assumptions as if this new growth limit did not exist. This also makes the analysis easier, as planets are now entirely independent of each other in growth rate.

#A high-level analysis of the current system Since I don't work at Paradox and don't have access to the source code for Stellaris nor profiler results (and I'm not about to go off trying to profile a compiled binary – decompiling manually as I go), all I have to go on is descriptions of the system. I will therefore provide only a high-level analysis using asymptotic notation. I'm sure Paradox profile their builds a fair bit, so they'll know if I'm focusing on the right areas or not with this.

##Pops and jobs – runtime analysis TL;DR: The month tick gets slower the more pops there are – probably O(n^(2)) and Ω(n√n).

We know that every month tick every pop essentially looks around and says "is there a better job I could be doing?" This is the root of all (performance) evil.

How this (probably) works is that every pop on a planet has to look through every job on a planet and determine:
a. Can I switch to this job,
b. how much would I produce in this job, and
c. should I switch to this job.

A is a simple filter and a good pruning step (robots can't do specialist jobs so there's no point checking, and specialists can't do worker jobs without first bing unemployed and demoting, etc). B is a simple calculation, just adding some bonuses to a base production. C is a little more involved, but likely involves a comparison with the current holders of those jobs to see if this

In general relativity, there seems to be a whole plethora of notation and conventions. I have several questions, why are there so many different symbols used for indexes in Christoffel symbols, often in different texts. Also, does change the metric change anything?

Greetings fellow violinists, I come in peace. I was looking for a scale etudes book and came across Carl Flesch's Scale System. This book had so much praise I could not but buy it. I understand that it is strictly targeting violinists by working on different techniques, fingerings...However, I'm keen to introduce it to my routine (I'm a guitarist) for maybe I'll start thinking in a different way. However, some notations are incomprehensible for a guitarist. Hence my question, what are some notation books for violin for me to learn.

Thank youuu!!

PS: if you have another scale etudes book send it my way.

Some of you may have seen me post this already a few times. Many who responded have requested I post this separately as it is often buried in the comments.

I understand that not everyone has the time nor the experience to actually read the DTC and OCC regulatory changes. However, it is important that when assessing the DD and broad generalizations put forth by others, you take some time to skim the underlying document and also align it with reality. I waited for today to post this because 005 is another regulatory filing which has been totally misconstrued and I wanted to wait until Monday so that you can see for yourselves why.

Let's start with SR-DTC-2021-004 and SR-OCC-2021-801 and then we will discuss SR-DTC-2021-005 and SR-OCC-2021-004.

For Apes:

Citadel Farms belong to Banana Farmer Association. Banana Farmer Association create banana backup crop that every farmer contributes to. If farmer crop go bad, farmer can take from banana backup crop so farmer survive the season and farm next year.

Citadel Farms want more banana. Citadel Farms want more banana plants for humans and burn down field of wild banana plants where apes eat. Apes not happy and attack Citadel Farms and take their banana crop and eat every last banana. Now Citadel Farms cry to Banana Farmer Association to ask for backup crop.

Banana Farmer Association see that Citadel Farms did this to themselves and now say first we give back ONLY bananas you contributed. Then we sell your equipment, tools, and lease your land and we give you more banana.

For Homo Erectus:

801 is not a margin call and it doesn't allow OCC to margin call Citadel. It raises the Target Capital Contribution to 25% for all members from the current variable rate and it introduces a new Minimum Corporate Contribution that DTC already has for its members. It has a different purpose in this game and you need to understand why we are all waiting for this because it creates the conditions whereby Citadel can be margin called without a lifeline.

I write about 801 here. Gist of it is that Options Clearing Corporation (OCC) of which Citadel Securities and Citadel Clearning are members is requiring a new Minimum Corporate Contribution and a new 25% Target Capital Requirement. It further cla

When you are calculating chess positions, do you think about the notation?

I see streamers always say the notation of the moves they calculate.

Do you do it too? Do they do it just because of the stream?

ERRATUM ON TITLE PHRASING: THE MOASS WON'T HAPPEN UNTIL OPTIONS ARE REGULATED.

I was invited to explain this DD on an ape YT channel. Here's the video

LET ME START WITH A QUICK INTRO: SO WE ALL KNOW HOW HF ARE HIDING THEIR SHORT POSITION.

Actually, even the SEC knows, since they wrote a "risk alert" on it in fuck** 2013.Strengthening Practices for Preventing and Detecting Illegal Options Trading Used to Reset Reg SHO Close-out Obligations.

LET ME SUMMARISE THIS RISK ALERT FOR YOU

How do HF manage to make it look like they covered? Easily, with 2 types of deceptive options trading.

1. A buy-write trade, i.e. selling deep ITM call + buying a synthetic long share from MM
2. Buying a married put: buying an option put with a synthetic share.

What's the difference between selling calls and buying puts?

Well, not much, it's a question of obligation vs possibility, but in our scenario, it does not matter much.

Why buy a synthetic long at the same time as the option?

They use the synthetic share to appear as if they "close" their short position. Pouf FINRA number goes down, Bloomberg writes an article " GameStop Short Interest Plunges in Sign Traders Are Covering" saying the HF have covered, end of the story.

How can they buy a synthetic long?

if a market maker buys options from an options writer, the market maker has legal privileges to do a version of “naked shorting” as part of their hedging function. This is necessary, under the current rules and the current system, for market makers to protect themselves when facilitating options trades.

Do buying synthetic long have an impact on the price of the stock?

Well, I do not think so, since they are not part of the float, they are not purchased on the market.

It it good news or bad news?

Well, we are not sure. There is a theory saying that the FTD cycles are getting bigger and it will only get worse for them, but I don't like the wait and pray tactic when we're dealing with HF. To me, it's rather a bad news to only rely on HODL and pray for the MOASS to start without the regulations in place to force short to close their positions.Their deceptive options duckery means they can reset their FTD indefin

Introduction

Hello, Reddit. This is the third part of the trilogy of leaderboard comparisons where I decided to compare HOF QBs to see how “the greatest” quarterbacks in history stacked up in leaderboards. I also included the widely agreed for-sure locks that have yet to be inducted:

· Tom Brady (2001)

· Drew Brees (2002)

· Ben Roethlisberger (2004)

· Aaron Rodgers (2008)

Many other potential "maybes" such as Philip Rivers, Eli Manning, etc. were excluded in this sequel of threads, however, I am working on an alternative HOF monitor for fun that does include all those individuals, so hang tight there for the moment. The order also changes somewhat, which is interesting.

But back on topic: I aimed to include the top 10 players, and extended the list if the tenth slot was a tie. However, if the bottom slot was tied by a large number of people, I cut the list short. If a single QB holds multiple record positions, he is only listed for his most impressive record.

Methodology

I am addressing a few “combined” accolades such as All Decade and Anniversary Teams, then combining the regular season (60) and post-season (44) thread subsets (previous threads, here and here) of the index to find their “all time” leaderboard ranking.

Prestige Index Categories

I selected the few prestigious “all-time” accolades that contribute to the memory and appeal of QBs. Below are the leaderboards being covered and my rationale in selecting them.

All Decade and NFL Anniversary Teams

These accolades will be listed and addressed here before final calculations are taken into account. Some distinctions are made for rankings, such as First Team and Second Team, or unanimous and non-unanimous.

My Super Basic Leaderboard Summary

This a summary of how frequently a QB made the leaderboards and their placements. If QB "X" appeared in 5 leaderboards, placing 1st, 3rd, 8th, 2nd, and 4th, this this is notated as 1, 3, 8, 2, 4 (5) [3.6] in the data section. (5) represents their total appearances and [3.6] is their average placement. The summary in this thread contains information from the previous two threads, which covered many more leaderboards specific to the regular season and post-season respectively.

Era-Adjusted Prestige Index

I r