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Topic: Pythagorean expectation

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	Pythagorean expectation - Wikipedia, the free encyclopedia
		It is important to keep in mind that Pythagorean estimation is an empirical observation that correlates with winning percentage.
		Teams that win a lot of games tend to be underrepresented by the formula (meaning they "should" have won less), and teams that lose a lot of games tend to be overrepresented (they "should" have won more).
		Applying the pythagorean expectation to Football: Includes a discussion of how the exponent in the formula should be larger the larger the number of points scored per game becomes.
	en.wikipedia.org /wiki/Pythagorean_expectation (364 words)

	Pythagorean expectation (Site not responding. Last check: 2007-10-09)
		Pythagorean expectation is a formula invented by Bill James to estimate how many games a baseball team "should" have won based on the number ofruns they scored and allowed.
		The term is derived from the formula's resemblance to Pythagoras ' formula to compute the length of the hypotenuse of a triangle from the lengths of its other two sides.
		Applying the pythagorean expectation to Football : Includes a discussion of how the exponent inthe formula should be larger the larger the number of points scored per game becomes.
	www.therfcc.org /pythagorean-expectation-218091.html (258 words)

	Pythagorean Method (Site not responding. Last check: 2007-10-09)
		The Pythagorean Method for relating points scored and allowed to wins and losses is an approximation to a more theoretically correct method, called the Correlated Gaussian Method.
		The Pythagorean 16.5 Method was derived from the corresponding method in baseball used by Bill James.
		My expectations were for something between 13 and 20, so 16.76 was originally rounded up to 17 and tested as a valid possibility.
	www.rawbw.com /%7Edeano/helpscrn/pyth.html (640 words)

	The Pythagorean Theorem: I. The finite case -- Kadison 99 (7): 4178 -- Proceedings of the National Academy of Sciences
		The Pythagorean Theorem and variants of it are studied.
		Pythagorean Theorem in terms of traces, in terms of indices, and
		The "expansion" formulation of the Pythagorean Theorem involves projecting a vector onto orthogonal axes.
	www.pnas.org /cgi/content/full/99/7/4178 (2142 words)

	Encyclopedia: Win shares (Site not responding. Last check: 2007-10-09)
		One criticism of this metric is that players who play for teams that win more games than expected, based on the Pythagorean expectation, receive more win shares than players whose team wins fewer games than expected.
		Since a team exceeding or falling short of its Pythagorean expectation is generally acknowledged as chance, some believe that credit should not be assigned purely based on team wins.
		The Bill James Historical Baseball Abstract, 2001 edition, also written by James, uses win shares to evaluate the careers of many players, and to place them in contexts where they can be compared.
	www.nationmaster.com /encyclopedia/Win-shares (1010 words)

	Pythagorean expectation -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-09)
		Pythagorean expectation -- Facts, Info, and Encyclopedia article
		Win% is the winning percentage generated by the formula.
		It is widely believed that deviations from a team's expectations are primarily due to luck and the quality of the team's (A place on a baseball field where relief pitchers can warm up during a game) bullpen and to the situation in the game when runs are scored.
	www.absoluteastronomy.com /encyclopedia/P/Py/Pythagorean_expectation.htm (318 words)

	Grade 8: Pythagorean relationship
		Uses the Pythagorean relationship to calculate the measure of the third side of a right triangle, given the other two sides, in 2-D applications.
		The expectation is that students, with teacher assistance, will realize that the squares on the two sides fit into the square on the hypotenuse and thus sense that:
		Using the Pythagorean relationship, students determine the lengths of all sides of all seven tangram pieces.
	www.uwinnipeg.ca /~jameis/New%20Pages/MYR12.html (1327 words)

	Encyclopedia: Pythagorean expectation (Site not responding. Last check: 2007-10-09)
		Baseball is a team sport, in which a fist-sized ball is thrown by a defensive player called a pitcher and hit by an offensive player called a batter with a round, smooth stick called a bat.
		Pythagoras (582 BC â€“ 496 BC, Greek: Î Ï…Î¸Î±Î³ÏŒÏÎ±Ï‚) was an Ionian mathematician and philosopher, known best for formulating the Pythagorean theorem.
		In baseball, a run is scored when a player advances safely around all three bases and returns safely to home plate.
	www.nationmaster.com /encyclopedia/Pythagorean-expectation (545 words)

	Read about Pythagorean expectation at WorldVillage Encyclopedia. Research Pythagorean expectation and learn about ... (Site not responding. Last check: 2007-10-09)
		Research Pythagorean expectation and learn about Pythagorean expectation here!
		The term is derived from the formula's resemblance to
		Applying the pythagorean expectation to Football (http://www.footballproject.com/story.php?storyid=122): Includes a discussion of how the exponent in the formula should be larger the larger the number of points scored per game becomes.
	encyclopedia.worldvillage.com /s/b/Pythagorean_expectation (306 words)

	THE PYTHAGOREAN PERSPECTIVE: The Arts and Sociobiology (Site not responding. Last check: 2007-10-09)
		In modern terms the Pythagorean Perspective is that there are not Two Cultures (or many cultures) but One Culture, of which the different arts and sciences are partial expressions.
		Windelband (1956) comments that in the Pythagorean society mathematical investigations were pursued for the first time quite independently, and were brought to a high degree of perfection.
		The most brilliant achievement of the Pythagoreans was their astronomy far in advance of their contemporaries; the world-all was globular, the single stars luminous globes; the earth a globe moving around the central fire; the distance of the spheres from the central fire depended on simple number relationships.
	cogprints.ecs.soton.ac.uk /archive/00003264/01/pythagor.htm (8182 words)

	Pythagorean expectation - Encyclopedia, History, Geography and Biography
		Pythagorean expectation - Encyclopedia, History, Geography and Biography
		This encyclopedia, history, geography and biography article about Pythagorean expectation contains research on
		Pythagorean expectation, Use in basketball and External links.
	www.arikah.net /encyclopedia/Pythagorean_expectation (340 words)

	THE PYTHAGOREAN PERSPECTIVE: The Arts and Sociobiology
		One might attempt to indicate precursor behaviors in other animals which have some structural resemblance to the elaborated forms of the human arts: the numerical and pattern-forming abilities of many animals; the "aesthetic" of peacocks, bowerbirds etc.; the "architectural" capabilities of beavers, bees, termites, birds; the "music appreciation" of gibbons, wolves, whales, and so on.
		From its precincts flow the belief in the kinship of all beings; the principles of the brotherhood, of loyalty, modesty, self-discipline, piety and abstinence; a higher view of womanhood, community of property, the parallel between the macrocosm and the microcosm ; the cosmos as an organism; the brain as the locus of the soul.
		These techniques would extend to the age-old mysteries of Pythagorean harmonics, to the expressive music of color, to the orchestration of visual rhythms, and, indeed, to every effective and affecting aspect of a work of art.
	www.percepp.demon.co.uk /pythagor.htm (8607 words)

	12eight :: Pythagorean Differentials: Possible Causes (Site not responding. Last check: 2007-10-09)
		To present this data, and to get a good look at how much deviation there is in the data, I've employed Excel charts, with Pythagorean differentials as the X axis and the variables as the Y axes.
		There's maybe a very slight correlation there, but nothing large or certain enough to come to any conclusions about; much of that could be random fluctuation, and the deviation in the data points are simply too large to put any stock in them.
		In general, for reasons like this it's difficult to prove the involvement of luck and chance (with negative results in general, you never know for sure why you got it--is it a "true" negative, or was something overlooked?).
	12eight.blog.com /247045 (3774 words)

	Pythagorean Theorem Lesson
		The expectation for Lab Task Activity should be that every student gets it 100% correct or they do it over again.
		Students know the Pythagorean Theorem and deepen their understanding of plane and solid geometric shapes by constructing figures that meet given conditions and by identifying attributes of figures:
		Know and understand the Pythagorean Theorem and its converse and use it to find the length of the missing side of a right triangle and the lengths of other line segments and, in some situations, empirically verify the Pythagorean Theorem by direct measurement.
	score.kings.k12.ca.us /lessons/pytha.html (668 words)

	The Orioles Warehouse: Greatest O's: First Basemen
		(In truth, the discrepancy should have been even greater, as Texas outperformed its Pythagorean win expectation and Baltimore underperformed its expectation during the relevant years.) Palmeiro also expected to play multiple seasons in Baltimore to close out his career; his current deal is guaranteed only for 2004, but has options for 2005 and 2006.
		He was a major reason for the Orioles going from a sub-.500 team to a pennant threat.
		But expectations were high after his 1961 season, and he didn't come close to matching that performance in 1962 and 1963, as his power numbers appeared to take a dive (although the raising of the pitcher's mound had a lot to do with that).
	www.oobleck.com /orioles/archives/001922.html (2715 words)

	August 22, 2002 - From The Mailbag: Greatest Living Pitcher and Sadaharu Oh
		I noticed the Red Sox are a whopping seven games below their expected Pythagorean record.
		EW=expected wins, using a modified version of the Pythagorean theorem (the exponent is variable, according to runs per game)
		Notice the '84 and '86 Pirates in spots 2 and 4; the '85 Pirates were 7.8 games below expectation, which is the worst three-year stretch ever.
	www.baseballprospectus.com /news/20020822mailbag.shtml (1780 words)

	Parentetx.com: August 2004 Archives
		To look into this a little bit futher, I've applied a forumula created by famous sabermatician Bill James, called the Pythagorean Expectation, which in my estimation does give a good measure of the expected win/loss percentage for a team in games that it has already played.
		Any deviation from this expected win/loss percentage in real life is one way to judge if the team in general is playing to their full capabilities.
		According to the Pythagorean Expectation, they should have had a winning percentage of.586, or a record of 25-17.
	www.parentetx.com /archives/2004_08.html (5768 words)

	Friedman
		This mosaic was found northwest of the Damascus Gate of Jerusalem in 1901.
		It is worth noting here that the "geometry" of the Jerusalem mosaic is that of the triangle, with its base made of Ovitbg, the centaur, and giriovpiot, Pan.
		4, the Pythagoreans held that the triangle was a perfect figure.
	www.pythagorean.org /Renaissance/fried.htm (12500 words)

	The Orioles Warehouse: History Archives (Site not responding. Last check: 2007-10-09)
		The main question is how much he would have been bothered by the constant pressure from the owner and the weight of increased expectations.
		But in the next three seasons Decinces's bat returned to more ordinary levels, and with a top third-base prospect named Ripken knocking on the door, at the beginning of 1982 the Orioles traded DeCinces and another prospect to the California Angels for outfielder "Disco" Dan Ford.
		That move didn't pan out so well, as Ford fell short of expectations, the top third-base prospect instead became an All-Star shortstop, and the team was left with a revolving door at the hot corner for the rest of the decade.
	www.oobleck.com /orioles/archives/cat_history.html (13069 words)

	All-Baseball.com, part of MVN: The NL East (Site not responding. Last check: 2007-10-09)
		And in fact, he slightly outperformed his Pythag expectations in 2001 and 2002 before faltering in 2003.
		Jon: I think expectations are too high in Florida for Miguel Cabrera, who walked only 25 times in the regular season last year and whose patience will be further tested this year by pitchers wary of his reputation.
		Dan: I agree with Jon that the expectations for the Marlins are too high.
	www.all-baseball.com /archives/012387.html (4661 words)

	All-Baseball.com, part of MVN: March 2004 Archives (Site not responding. Last check: 2007-10-09)
		Then there's always the losing five straight games to the Twins issue, and the fact that the team underachieved its Pythagorean projection by a bit while Minnesota exceeded expectations by a lot.
		Last year their Pythagorean w/l was 94-68; they should be looking at the mid 90s again, which I think wins the division.
		The Mariners' Pythagorean record was four games better than their overall record last season, likely due to nervous in-game managing by a rookie coach.
	www.all-baseball.com /archives/2004_03.html (17764 words)

	Sabermetrics (Site not responding. Last check: 2007-10-09)
		As the doldrums for publicly traded stocks drag on, companies are being taken private at the fastest pace in years.
		AT&T CEO David Dorman confirmed expectations Thursday that he won't stay on long after AT&T is acquired by SBC, opting for nearly...
		Dulles, Va.-based Independence Air on Thursday set a Dec. 16 deadline for investors to submit bids to buy the whole airline or...
	alloffinance.com /Sabermetrics.html (1720 words)

	Parentetx.com: Sports Page Archives
		Manny Ramirez followed that up with a hit, but as Damon took off for third, he hesitated.
		My expectations soared — an early run would be huge — but he was thrown out at the plate.
		Aidan, who was hoping and asking when he could clap, started to clap with me as Damon crossed the plate, but we quickly quieted him down.
	www.parentetx.com /archives/cat_sports_page.html (9814 words)

	XIBL Newsletter (Site not responding. Last check: 2007-10-09)
		This month we will take a look at the past season and break down some statisitics.
		Check out an article on the Pythagorean expectation results for each team this year.
		Which teams played better or worse than their stats would indicate?
	xibl.cloudnet.com /October%202007%20Newsletter/October%20Newsletter.htm (241 words)

	ELEPHANTS in OAKLAND (Site not responding. Last check: 2007-10-09)
		Hear what you want to hear, but the selection of Paul DePodesta did not come as a decision over Gillick v DePodesta or even a $500,000 difference.
		If it did, the equation would have been, 'DePodesta was with the A's and they took the AL West three of the last four seasons to Gillick's one season - when they one an unprecedented 116 games, seven over their Pythagorean W-L expectation.
		He is already being tagged by many as a leading Rookie of the Year candidate and if he had to be ranked by expectation - he's already one of top ten shortstops in the American League.
	elephantsinoakland.blogspot.com /2004_02_01_elephantsinoakland_archive.html (10919 words)

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