Kaprekar's routine 6174

The above process, known as Kaprekar's routine, will always reach 6174 in at most 7 iterations.


====================

Once 6174 is reached, the process will continue yielding 7641 – 1467 = 6174. For example, choose 3524:

5432 – 2345 = 3087
8730 – 0378 = 8352
8532 – 2358 = 6174

The only four-digit numbers for which Kaprekar's routine does not reach 6174 are repdigits such as 1111, which give the result 0 after a single iteration. All other four-digits numbers eventually reach 6174 if leading zeros are used to keep the number of digits at 4:

2111 – 1112 = 0999
9990 – 0999 = 8991 (rather than 999 – 999 = 0)
9981 – 1899 = 8082
8820 – 0288 = 8532
8532 – 2358 = 6174

9831 reaches 6174 after 7 iterations:

9831 – 1389 = 8442
8442 – 2448 = 5994
9954 – 4599 = 5355
5553 – 3555 = 1998
9981 – 1899 = 8082
8820 – 0288 = 8532 (rather than 882 – 288 = 594)
8532 – 2358 = 6174

THE EMERALD TABLET OF HERMES

THE EMERALD TABLET OF HERMES

1) TRUE, WITHOUT FALSEHOOD, CERTAIN, MOST CERTAIN.

2) WHAT IS ABOVE IS LIKE WHAT IS BELOW, AND WHAT IS BELOW, LIKE THAT WHICH IS ABOVE. TO MAKE THE MIRACLE OF THE ONE THING

3) AND AS ALL THINGS WERE MADE FROM CONTEMPLATION OF ONE, SO ALL THINGS WERE BORN FROM ONE ADAPTATION.

4) ITS FATHER IS THE SUN, ITS MOTHER IS THE MOON.

5) THE WIND CARRIED IT IN ITS WOMB, THE EARTH BREAST FED IT

6) IT IS THE FATHER OF ALL WORKS OF WONDER IN THE WORLD.

7) ITS POWER IS COMPLETE IF TURNED TOWARDS EARTH, IT WILL SEPARATE EARTH FROM FIRE, THE SUBTLE FROM THE GROSS.

8) WITH GREAT CAPACITY (WISDOM) IT ASCENDS FROM EARTH TO HEAVEN. AGAIN IT DESCENDS TO EARTH, AND TAKES BACK THE POWER OF THE ABOVE AND THE BELOW.

9) THUS YOU WILL RECEIVE THE GLORY OFTHE DISTINCTIVENESS OF THE WORLD. ALL OBSCURITY WILL FLEE FROM YOU.

10) THIS IS THE WHOLE MOST STRONG STRENGTH OF ALL STRENGTH, FOR IT OVERCOMES ALL SUBTLE THINGS, AND PENETRATES ALL SOLID THINGS.

11) THUS WAS THE WORLD CREATED.

12) FROM THIS COMES MARVELOUS ADAPTATIONS OF WHICH THIS IS THE PROCEDURE.

13) THEREFORE I AM CALLED HERMES THRICE-CROWNED BECAUSE I HAVE THREE PARTS OF THE WISDOM OF THE WHOLE WORLD.

14) AND COMPLETE IS WHAT I HAD TO SAY ABOUT THE WORK OF THE SUN.

primary dealers of the Federal Reserve System

 current primary dealers of the Federal Reserve System:

US
Bank of America Securities LLC
Cantor Fitzgerald & Co.
Citigroup Global Markets Inc.
Goldman, Sachs & Co.
Jefferies & Company, Inc.
J. P. Morgan Securities Inc.
Morgan Stanley & Co. Inc.

Britain
Barclays Capital Inc.
HSBC Securities (USA) Inc.

Switzerland
Credit Suisse Securities (USA) LLC
UBS Securities LLC.

Japan
Daiwa Capital Markets America Inc.
Mizuho Securities USA Inc.
Nomura Securities International, Inc.

Germany
Deutsche Bank Securities Inc.

France
BNP Paribas Securities Corp.

Canada
RBC Capital Markets Corp.

Scotland
RBS Securities Inc.

“These institutions are the current primary dealers of the Federal Reserve System. 

American Monetary Act

American Monetary Act.  (Lost Science of Money)

part 1 

part 2 

Low Orbit Ion Cannon ... Dec. 7 2010

It took me a bit to realize, but do you all know what this whole wikileaks situation is? Its literally the first front of a globalized revolution. A revolution that is on the offensive, and right now I hate to break it to the oligarchy - its winning. I havent been a assuage supporter, and I question wikileaks as a whole but you know what? 

This is absolutely beautiful. 

Seriously. Finally we are standing up, uniting and attacking. Except in a way that nobody dies, no homes burn to the ground. 

Mark my words, this will be a pivotal point in history. 

October 2010 $100 Bill

A significant production problem with new high-tech $100 bills has caused government printers to shut down production of the new notes and to quarantine more than one billion of the bills in huge vaults in Fort Worth, Texas and Washington, DC, CNBC has learned.

Initially scheduled for release in February of 2011, the new bills were announced with great fanfare by officials at the Treasury Department and the Federal Reserve in April.

At the time, officials announced the new bills would incorporate sophisticated high-tech security features, including a 3-D security strip and a color-shifting image of a bell designed to foil counterfeiters.

But the production process is so complex, it has instead foiled the government printers tasked with producing billions of the new notes.

An official familiar with the situation told CNBC that 1.1 billion of the new bills have been printed, but they are unusable because of a creasing problem in which paper folds over during production, revealing a blank unlinked portion of the bill face.

A second person familiar with the situation said that at the height of the problem, as many as 30 percent of the bills rolling off the printing press included the flaw, leading to the production shut down.

The total face value of the unusable bills, $110 billion, represents more than ten percent of the entire supply of US currency on the planet, which a government source said is $930 billion in banknotes. For now, the unusable bills are stored in the vaults in “cash packs” of four bundles of 4,000 each, with each pack containing 16,000 bills.

Officials don’t know exactly what caused the problem. “There is something drastically wrong here,” a person familiar with the situation said. “The frustration level is off the charts.”

Because officials don’t know how many of the 1.1 billion bills include the flaw, they have to hold them in the massive vaults until they are able to develop a mechanized system that can sort out the usable bills from the defects.

Sorting such a huge quantity of bills by hand, the officials estimate, could take between 20 and 30 years. Using a mechanized system, they think they could sort the massive pile of bills, each of which features the familiar image of Benjamin Franklin on the face, in about one year.

The defective bills – which could number into the tens of millions, potentially representing billions of dollars in face value – will have to be burned, they say. American taxpayers have already spent an enormous amount of money to print the bills.

According to a person familiar with the matter, the bills are the most costly ever produced, with a per-note cost of about 12 cents – twice the cost of a conventional bill. That means the government spent about $120 million to produce bills it can’t use. On top of that, it is not yet clear how much more it will cost to sort the existing horde of hundred dollar bills.

First Bills Signed by Geithner

Officials say they remain optimistic that the majority of the 1.1 billion bills will eventually be cleared for circulation.

The problem with the new hundred-dollar bills has remained largely hidden from public view, despite a press release issued by the Federal Reserve on Oct. 1 that announced “a delay in the issue date” of the new bills and cited “a problem with sporadic creasing of the paper.”

The redesigned bills are the first $100 bills to feature Treasury Secretary Tim Geithner’s signature. But to stave off a cash crunch as existing $100 bills deteriorate and can’t be replaced, the Federal Reserve has ordered renewed production of the current-design $100 bills, which feature Bush Treasury Secretary Hank Paulson’s signature and do not have the new security features.

Officials say that is an important step, because there are 6.6 billion $100 notes in circulation at any given time, and they wear out quickly. Reprinting the current design bills will prevent any disruption in the global circulation of US currency.

The production of American banknotes is a convoluted process. The paper is manufactured by Crane & Company, which has continually supplied the government since 1879. Design and production of the bills is handled by the Department of Treasury and its Bureau of Engraving and Printing. But the currency is actually issued by the Federal Reserve, which is why the bills are emblazoned with the phrase “Federal Reserve Note.”

The new $100 note is the latest denomination of U.S. currency to be redesigned with special anti-counterfeiting features. Treasury first introduced the redesigned $20 note in 2003 and has also redesigned the $50, $10 and $5 notes.

The government says that more than a decade of research and development went into the new security features on the redesigned $100.

The bill features a blue, three dimensional security strip that pictures bells that change to 100s as the strip is tilted. The ribbon is woven into the paper, not printed on it, which is why it is the focus of speculation as a potential cause of the paper creasing problem on the printing presses. The note also features another color-shifting image, of a bell inside an inkwell. The bell shifts color from copper to green as the bill is tilted.

As part of the rollout effort for the new $100 bills, the government set up a website explaining the changes, which can be seen at this website.

After they were printed, officials discovered that some of the new bills have a vertical crease that, when the sides of the bill are pulled, unfolds and reveals a blank space on the face of the bill. At first glance, the bills appear completely printed, but they are not.

Officials have mixed views on what caused the problem, and who is responsible for it. “This is not about assigning blame,” said one. But another person familiar with the matter said finger-pointing has already begun. “The Fed’s very unhappy, and the Bureau of Engraving and Printing is taking a beating unnecessarily,” the person said. “Somebody has to pay for this.”

The Chairman's Predictions

#1 (October 20, 2005) "House prices have risen by nearly 25 percent over the past two years. Although speculative activity has increased in some areas, at a national level these price increases largely reflect strong economic fundamentals."

#2 (On 60 Minutes in response to a question about what would have happened if the Federal Reserve had not "bailed out" the U.S. economy) "Unemployment would be much, much higher. It might be something like it was in the Depression. Twenty-five percent."

#3 (February 15, 2006) "Housing markets are cooling a bit. Our expectation is that the decline in activity or the slowing in activity will be moderate, that house prices will probably continue to rise."

#4 (January 10, 2008) "The Federal Reserve is not currently forecasting a recession."

#5 (When asked directly during a congressional hearing if the Federal Reserve would monetize U.S. government debt) "The Federal Reserve will not monetize the debt."

#6 "One myth that’s out there is that what we’re doing is printing money. We’re not printing money."

#7 "The money supply is not changing in any significant way. What we’re doing is lowering interest rates by buying Treasury securities."

#8 (November 21, 2002) "The U.S. government has a technology, called a printing press (or today, its electronic equivalent), that allows it to produce as many U.S. dollars as it wishes at no cost."

#9 (March 28, 2007) "At this juncture, however, the impact on the broader economy and financial markets of the problems in the subprime market seems likely to be contained. In particular, mortgages to prime borrowers and fixed-rate mortgages to all classes of borrowers continue to perform well, with low rates of delinquency."

#10 (July, 2005) "We’ve never had a decline in house prices on a nationwide basis. So, what I think what is more likely is that house prices will slow, maybe stabilize, might slow consumption spending a bit. I don’t think it’s gonna drive the economy too far from its full employment path, though."

#11 "Although low inflation is generally good, inflation that is too low can pose risks to the economy - especially when the economy is struggling."

#12 (February 15, 2007) "Despite the ongoing adjustments in the housing sector, overall economic prospects for households remain good. Household finances appear generally solid, and delinquency rates on most types of consumer loans and residential mortgages remain low."

#13 (October 31, 2007) "It is not the responsibility of the Federal Reserve – nor would it be appropriate – to protect lenders and investors from the consequences of their financial decisions."

#14 (On the possibility that the Fed might launch QE3) "Oh, it's certainly possible. And again, it depends on the efficacy of the program. It depends on inflation. And finally it depends on how the economy looks."

#15 (November 15, 2005) "With respect to their safety, derivatives, for the most part, are traded among very sophisticated financial institutions and individuals who have considerable incentive to understand them and to use them properly."

#16 (January 18, 2008) "[The U.S. economy] has a strong labor force, excellent productivity and technology, and a deep and liquid financial market that is in the process of repairing itself."

#17 "I wish I'd been omniscient and seen the crisis coming."

#18 (May 17, 2007) "All that said, given the fundamental factors in place that should support the demand for housing, we believe the effect of the troubles in the subprime sector on the broader housing market will likely be limited, and we do not expect significant spillovers from the subprime market to the rest of the economy or to the financial system.  The vast majority of mortgages, including even subprime mortgages, continue to perform well.  Past gains in house prices have left most homeowners with significant amounts of home equity, and growth in jobs and incomes should help keep the financial obligations of most households manageable."

#19 "The GSEs are adequately capitalized. They are in no danger of failing."

#20 (Two months before Fannie Mae and Freddie Mac collapsed and were nationalized) "They will make it through the storm."

#21 (September 23rd, 2008) "My interest is solely for the strength and recovery of the U.S. economy."

#22 "Economics has many substantive areas of knowledge where there is agreement but also contains areas of controversy. That's inescapable."

#23 "I don't think that Chinese ownership of U.S. assets is so large as to put our country at risk economically."

#24 "We’ve been very, very clear that we will not allow inflation to rise above 2 percent."

#25 "...inflation is running at rates that are too low relative to the levels that the Committee judges to be most consistent with the Federal Reserve's dual mandate in the longer run."

#26 (June 10, 2008) "The risk that the economy has entered a substantial downturn appears to have diminished over the past month or so."

#27 "Not all information is beneficial."

#28 "The financial crisis appears to be mostly behind us, and the economy seems to have stabilized and is expanding again."

#29 "Similarly, the mandate-consistent inflation rate--the inflation rate that best promotes our dual objectives in the long run--is not necessarily zero; indeed, Committee participants have generally judged that a modestly positive inflation rate over the longer run is most consistent with the dual mandate."

#30 (October 4, 2006) "If current trends continue, the typical U.S. worker will be considerably more productive several decades from now. Thus, one might argue that letting future generations bear the burden of population aging is appropriate, as they will likely be richer than we are even taking that burden into account."

periodic orbits for 3 body

These images show some newly discovered periodic (repeating) orbits for 3 and 4 bodies.

Caption A: Three bodies with equal mass orbiting on a figure eight. This result was published in 2000.

Caption B: Three bodies of unequal mass. This system is similar to a planet orbiting a binary star system.

Caption C: Two pairs of bodies orbiting about each other.

Caption D: An orbit discovered in 2008 by Tiancheng Ouyang, Duokui Yan, and Skyler Simmons at BYU.


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