is a collaborative project to create the most definitive, accurate, and accessible encyclopedia and reference for everything related to . The database is organized in a WikiWiki structure, which allows an incredible level of interconnectedness and expansion. It started in November 2003, and the database currently includes 19,106 articles. Trivia Question: In the episode Sarek, is moved to tears during 's Mozart recital. But the music playing at the time was not composed by Mozart. Instead, it was composed by whom?
Several questions concerning the convergence of quantized estimators are considered based upon points of accuracy. Examples are considered in which quantizers converge and in which they fail to converge, and points of accuracy are shown to provide explanations for both types of behavior.
Announced at a press conference in August 3, 1977, the Tandy TRS-80 Model I was Tandy's entry into the home computer market, meant to compete head on against the Commodore PET 2001 and the Apple II. At $599 for a complete package including cassette storage, the computer was the most expensive single product Tandy's Radio Shack chain of electronics stores had ever offered. Company management was unsure of the computer's market appeal, and intentionally kept the initial production run to 3,000 units so that, if the computer failed to sell, it could at least be used for accounting purposes within the chain's 3,000 stores. Tandy ended up selling 10,000 the first month and 55,000 its first year. Before its January 1981 discontinuation, Tandy sold more than 250,000 Model Is.
was founded in 1991 by a group of slide rule collectors and is dedicated to the preservation and history of slide rules and other calculating instruments. In the past fourteen years it has evolved to an international organization with members in 22 countries. It is noted for its highly acclaimed , published twice per year. is credited as the inventor of the in 1622.
In the TV show Lost, a appears briefly on the Blast Door inside the while is pinned by the door during the . The map includes a number of . It also includes some tantalizing clues about the numbers that appear in many of the episodes. To read more about the show, check out the new . For an annotated version of the map, click or . For an interactive version, click . All of this came from a that appeared briefly on the screen.
"Mathematical study and research are very suggestive of mountaineering. Whymper made several efforts before he climbed the Matterhorn in the 1860's and even then it cost the life of four of his party. Now, however, any tourist can be hauled up for a small cost, and perhaps does not appreciate the difficulty of the original ascent. So in mathematics, it may be found hard to realise the great initial difficulty of making a little step which now seems so natural and obvious, and it may not be suprising if such a step has been found and lost again.''
In the past few years, scientists have found ways to make light go both faster and slower than its usual speed limit, but now researchers at the University of Rochester have published a paper today in Science on how they've gone one step further: pushing light into reverse. As if to defy common sense, the backward-moving pulse of light travels faster than light.
In their search for patterns, mathematicians have uncovered unlikely connections between prime numbers and quantum physics. Will the subatomic world help reveal the elusive nature of the primes?
In 1972, the physicist Freeman Dyson wrote an article called "Missed Opportunities." In it, he describes how relativity could have been discovered many years before Einstein announced his findings if mathematicians in places like Göttingen had spoken to physicists who were poring over Maxwell's equations describing electromagnetism. The ingredients were there in 1865 to make the breakthrough—only announced by Einstein some 40 years later.
It is striking that Dyson should have written about scientific ships passing in the night. Shortly after he published the piece, he was responsible for an abrupt collision between physics and mathematics that produced one of the most remarkable scientific ideas of the last half century: that quantum physics and prime numbers are inextricably linked.
This unexpected connection with physics has given us a glimpse of the mathematics that might, ultimately, reveal the secret of these enigmatic numbers. At first the link seemed rather tenuous. But the important role played by the number 42 has recently persuaded even the deepest skeptics that the subatomic world might hold the key to one of the greatest unsolved problems in mathematics.
A proof brings closure to a dramatic tale of partitions and primes
In the realm of mathematics, it's hard to imagine anything more basic than the counting numbers: 1, 2, 3, and so on. Yet this set of mathematical objects abounds with beautiful and unexpected patterns. For example, pick any number and double it. You'll always find a prime number—a number divisible only by itself and by 1—between that number and its double. As another case in point, primes that leave a remainder of 1 when divided by 4 can always be expressed as the sum of two squares. Now, a mathematics graduate student has put what may be the final piece into the picture of one of the most surprising patterns of all.
ORLANDO, Florida - December 24, 2005 -- A collaborative effort at , led by professors and , has discovered the largest known prime number as part of the volunteer project. It is an achievement that also fuels researchers' hopes around the globe that a $100,000 prize is within reach.
The CMSU faculty used idle time on 700 campus lab PCs and free software from as part of a world-wide computing grid of tens of thousands of computers working together to make this discovery. The software was developed by GIMPS founder, George Woltman, in Orlando, Florida, and grid computing pioneer Scott Kurowski, in San Diego, California.
The new prime number, known as M30402457, surfaced December 15th on one computer in the Department of Communication lab after running on and off for about 50 days. Dr. Cooper and Dr. Boone have joined together with 21,000 other researchers worldwide participating in GIMPS. In addition to pursuing new prime number discoveries, these individuals also have an opportunity to compete for a cash award offered by the Electronic Frontier Foundation for discovery of the first 10 million digit prime number. If GIMPS claims the , of which $25,000 will go to charity, a large portion will be given to the GIMPS participant that discovers the prime number.
CMSU's research team has come the closest to claiming the award with this discovery of M30402457, or 2 to the 30,402,457th power minus 1, which is a It is the , eclipsing GIMPS last discovery of a 7,816,230 digit prime in February 2005. The new prime was independently verified in 5 days by Tony Reix of Bull S.A. in Grenoble, France using 16 Itanium2 1.5 GHz CPUs of a at Bull Grenoble Research Center, running the by Guillermo Ballester Valor of Granada, Spain. A second verification was done by of SHARCNET.
The new prime is the 43rd discovery in a special class of rare prime numbers known as Mersenne primes, named for French monk , who studied these numbers more than 350 years ago.
is a collaborative project to create the most definitive, accurate, and accessible encyclopedia and reference for everything related to . The database is organized in a WikiWiki structure, which allows an incredible level of interconnectedness and expansion. It started in November 2003, and the database currently includes 19,106 articles. Trivia Question: In the episode Sarek, is moved to tears during 's Mozart recital. But the music playing at the time was not composed by Mozart. Instead, it was composed by whom?
