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PYTHAGOREAN EXPECTATION

  • Pythagorean expectation
  • Sports formula

    Pythagorean expectation is a sports analytics formula devised by Bill James to estimate the percentage of games a baseball team "should" have won based

    Pythagorean expectation

    Pythagorean_expectation

  • Pythagorean
  • Topics referred to by the same term

    table Pythagorean comma Pythagorean hammers Pythagorean tuning Pythagorean cup Pythagorean expectation, a baseball statistical term Pythagorean letter

    Pythagorean

    Pythagorean

  • Pythagorean theorem
  • Relation between sides of a right triangle

    popular culture Pythagorean expectation Pythagorean hodograph curve – determined by polynomials that obey the Pythagorean theorem Pythagorean tiling Rational

    Pythagorean theorem

    Pythagorean theorem

    Pythagorean_theorem

  • Sports rating system
  • tagged that, too. — Bill Simmons, sportswriter, Grantland Pythagorean expectation, or Pythagorean projection, calculates a percentage based on the number

    Sports rating system

    Sports rating system

    Sports_rating_system

  • List of worst Major League Baseball season win–loss records
  • this projects to 21–141 under the current 162-game schedule, and Pythagorean expectation based on the Spiders' results and the current 162-game schedule

    List of worst Major League Baseball season win–loss records

    List_of_worst_Major_League_Baseball_season_win–loss_records

  • Daryl Morey
  • American basketball executive (born 1972)

    worked. During his time there he was the first to adapt James' Pythagorean expectation to professional basketball. He found that using 13.91 for the exponents

    Daryl Morey

    Daryl Morey

    Daryl_Morey

  • Pomeroy College Basketball Ratings
  • Ratings for American men's college basketball

    rating system is based on the Pythagorean expectation, though it has some adjustments. Variations on the Pythagorean expectation are also used in basketball

    Pomeroy College Basketball Ratings

    Pomeroy_College_Basketball_Ratings

  • Win Shares
  • Book by Bill James

    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

    Win Shares

    Win_Shares

  • Baseball statistics
  • Games behind: number of games a team is behind the division leader Pythagorean expectation: estimates a team's expected winning percentage based on runs scored

    Baseball statistics

    Baseball statistics

    Baseball_statistics

  • 1899 Cleveland Spiders season
  • Major League Baseball team season

    this would project to 21–141 under the current schedule, and Pythagorean expectation based on the Spiders' results and the current 162-game schedule

    1899 Cleveland Spiders season

    1899_Cleveland_Spiders_season

  • List of statistics articles
  • Pseudoreplication PSPP (free software) Psychological statistics Psychometrics Pythagorean expectation Q test Q-exponential distribution Q-function Q-Gaussian distribution

    List of statistics articles

    List_of_statistics_articles

  • Run differential
  • Baseball statistic

    winning percentage, which is characterized by a formula known as the Pythagorean expectation, devised by Bill James. A variation on the run differential formula

    Run differential

    Run_differential

  • St. Louis Maroons/Indianapolis Hoosiers
  • Professional baseball club

    project to 135–27 under the modern schedule of 162 games, while Pythagorean expectation based on the Maroons' results (887 runs scored, 429 runs allowed)

    St. Louis Maroons/Indianapolis Hoosiers

    St. Louis Maroons/Indianapolis Hoosiers

    St._Louis_Maroons/Indianapolis_Hoosiers

  • List of eponyms (L–Z)
  • mathematician – Pythagorean theorem, Pythagorean triple, Pythagorean tuning, Pythagorean expectation, Pythagorean hammers, Pythagorean trigonometric identity

    List of eponyms (L–Z)

    List_of_eponyms_(L–Z)

  • 2018 Houston Astros season
  • 57th season in Major League Baseball for the Houston Astros

    since 1961. Further, the plus-264 run differential synopsized to a Pythagorean expectation of 109–53 (.673), another franchise record. Astros pitchers set

    2018 Houston Astros season

    2018 Houston Astros season

    2018_Houston_Astros_season

  • Contraharmonic mean
  • contraharmonic mean can be constructed on a circle similar to the way the Pythagorean means of two variables are constructed. The contraharmonic mean is the

    Contraharmonic mean

    Contraharmonic_mean

  • List of things named after Pythagoras
  • Also known as a Pythagorean box. Pythagorean expectation – a method of statistical analysis inspired by the Pythagorean theorem Pythagorean field – in algebra

    List of things named after Pythagoras

    List_of_things_named_after_Pythagoras

  • 1997 Houston Astros season
  • 36th season in Major League Baseball for the Houston Astros

    scored 777 runs and yielded 660, the club underperformed their Pythagorean expectation of 93–69 (.574). Jeff Bagwell recorded the second of a Major League-record

    1997 Houston Astros season

    1997_Houston_Astros_season

  • 2000 Houston Astros season
  • 39th season in Major League Baseball for the Houston Astros

    in runs scored per game. Hence, the Astros underperformed their Pythagorean expectation 81–81 (.500). The Astros led the major leagues in home runs hit

    2000 Houston Astros season

    2000 Houston Astros season

    2000_Houston_Astros_season

  • 2023 West Coast Eagles season
  • Australian rules football club season

    predicted that West Coast would finish last however. Fox Sports used a Pythagorean expectation formula to predict that West Coast would finish the season 17th

    2023 West Coast Eagles season

    2023_West_Coast_Eagles_season

  • 2003 Houston Astros season
  • Major League Baseball team season

    scored 805 runs and yielded 677, the club underperformed their Pythagorean expectation of 94–68 (.580). Though Houston improved by one win from the year

    2003 Houston Astros season

    2003 Houston Astros season

    2003_Houston_Astros_season

  • How Not to Be Wrong
  • Book by Jordan Ellenberg

    and makes reference to multiple mathematical concepts including the Pythagorean theorem, the derivation of Pi, Zeno's paradox, and non-standard analysis

    How Not to Be Wrong

    How_Not_to_Be_Wrong

  • Musical system of ancient Greece
  • Overview of ancient Greek music theory

    theorist. The primary genera they examine are those of Pythagoras and the Pythagorean school, Archytas, Aristoxenos, and Ptolemy (including his versions of

    Musical system of ancient Greece

    Musical_system_of_ancient_Greece

  • 1993 Houston Astros season
  • Major League Baseball team season

    title drive in 1986. With a run differential of +86, the Astros' Pythagorean expectation computed to a record of 90–72 (.556). This Astros squad established

    1993 Houston Astros season

    1993_Houston_Astros_season

  • Harmonic mean
  • Inverse of the average of the inverses of a set of numbers

    In mathematics, the harmonic mean is a kind of average, one of the Pythagorean means. It is sometimes used for ratios and rates such as speeds, and is

    Harmonic mean

    Harmonic_mean

  • Hilbert space
  • Type of vector space in math

    covariance: they are uncorrelated.) In that case, the Pythagorean theorem in the kernel of the expectation operator implies that the variances of X {\displaystyle

    Hilbert space

    Hilbert space

    Hilbert_space

  • Kullback–Leibler divergence
  • Mathematical statistics distance measure

    distributions (notably an exponential family), it satisfies a generalized Pythagorean theorem (which applies to squared distances). KL divergence is always

    Kullback–Leibler divergence

    Kullback–Leibler_divergence

  • List of Latin phrases (full)
  • Agnus Dei prayer of the Holy Mass. donatio mortis causa a donation in expectation of death A legal concept in which a person in imminent mortal danger

    List of Latin phrases (full)

    List_of_Latin_phrases_(full)

  • Variational Bayesian methods
  • Mathematical methods used in Bayesian inference and machine learning

    conceptually similar to the expectation–maximization algorithm. (Using the KL-divergence in the other way produces the expectation propagation algorithm.)

    Variational Bayesian methods

    Variational_Bayesian_methods

  • Music of ancient Greece
  • Musical traditions of ancient Greece

    musical ethos comes almost entirely from the surviving teachings of the Pythagoreans, Plato, Aristoxenus, Philodemus, Ptolemy, and Aristides. Some ancient

    Music of ancient Greece

    Music of ancient Greece

    Music_of_ancient_Greece

  • Moirai
  • Personifications of fate in Greek mythology

    England: British Museum Press. pp. 209, 215. ISBN 978-0-7141-1989-2. The expectation that there would be three was strong by the 2nd century CE: when Pausanias

    Moirai

    Moirai

    Moirai

  • Sexuality in ancient Rome
  • Attitudes and behaviors towards sex in ancient Rome

    predominately a Stoic, his philosophy also partakes of Platonism and Pythagoreanism. He rejected the Aristotelian tradition, which portrayed sexual dimorphism

    Sexuality in ancient Rome

    Sexuality in ancient Rome

    Sexuality_in_ancient_Rome

  • Average
  • Number taken as representative of a list of numbers

    numbers) provides the harmonic mean. In mathematics, the three classical Pythagorean means are the arithmetic mean (AM), the geometric mean (GM), and the

    Average

    Average

  • Mathematical proof
  • Reasoning for mathematical statements

    of the 20th century. In addition to theorems of geometry, such as the Pythagorean theorem, the Elements also covers number theory, including a proof that

    Mathematical proof

    Mathematical proof

    Mathematical_proof

  • Inner product space
  • Vector space with generalized dot product

    The name Pythagorean theorem arises from the geometric interpretation in Euclidean geometry. Parseval's identity An induction on the Pythagorean theorem

    Inner product space

    Inner product space

    Inner_product_space

  • List of last words
  • poor beans." — Pythagoras, Ionian Greek philosopher and founder of Pythagoreanism (495 BC), refusing to escape with his students from the Crotonians through

    List of last words

    List of last words

    List_of_last_words

  • Bias of an estimator
  • Statistical property

    for the complementary part. Since this is an orthogonal decomposition, Pythagorean theorem says | C → | 2 = | A → | 2 + | B → | 2 {\displaystyle |{\vec

    Bias of an estimator

    Bias_of_an_estimator

  • New Age
  • Range of new religious beliefs and practices

    a great variety of groups and identities" that are united by their "expectation of a major and universal change being primarily founded on the individual

    New Age

    New_Age

  • Spacetime
  • Mathematical model combining space and time

    {\displaystyle \Delta {d}} between two points can be defined using the Pythagorean theorem: ( Δ d ) 2 = ( Δ x ) 2 + ( Δ y ) 2 + ( Δ z ) 2 {\displaystyle

    Spacetime

    Spacetime

    Spacetime

  • Humanism
  • Philosophical school of thought

    According to humanists, acting only out of fear, adherence to dogma, and expectation of a reward is a selfish motivation rather than morality. Humanists point

    Humanism

    Humanism

  • Androgyny
  • Having both male and female characteristics

    and Plato's conception are found in theosophy of Neoplatonism and Neo-Pythagoreanism, and Gnosticism. In particular, it was important to Islamic and Jewish

    Androgyny

    Androgyny

  • Bayes' theorem
  • Mathematical rule for inverting probabilities

    1973 book that Bayes' theorem "is to the theory of probability what the Pythagorean theorem is to geometry". Stephen Stigler used a Bayesian argument to

    Bayes' theorem

    Bayes'_theorem

  • Zoo hypothesis
  • Hypothesis concerning lack of extraterrestrial contact with Earth

    despite its generally accepted plausibility and hence the reasonable expectation of its existence. Extraterrestrial life forms might, for example, choose

    Zoo hypothesis

    Zoo_hypothesis

  • Daniel 8
  • Eighth chapter of the Book of Daniel

    Fideler (ed.). The Pythagorean sourcebook and library: an anthology of ancient writings which relate to Pythagoras and Pythagorean philosophy. Translated

    Daniel 8

    Daniel_8

  • Passing of Peregrinus
  • Satire by Syrian Greek writer Lucian

    non-Christian author. Lucian writes his account as a letter to Cronius the Pythagorean, a Platonist philosopher. He tells Cronius that Peregrinus has burned

    Passing of Peregrinus

    Passing_of_Peregrinus

  • Mathematical joke
  • Humor about mathematics or mathematicians

    comprises those that exploit common misunderstandings of mathematics, or the expectation that most people have only a basic mathematical education, if any. A

    Mathematical joke

    Mathematical joke

    Mathematical_joke

  • Michelson–Morley experiment
  • 1887 investigation of the speed of light

    the interferometer rest frame to the aether rest frame. Therefore, the Pythagorean theorem gives the actual beam travel distance of L 2 + ( v T 3 ) 2 {\textstyle

    Michelson–Morley experiment

    Michelson–Morley experiment

    Michelson–Morley_experiment

  • Index of music articles
  • music Pulse Punctualism Pygmy music Pyknon Pythagorean comma Pythagorean hammers Pythagorean interval Pythagorean tuning Qanun (instrument) Quartal and quintal

    Index of music articles

    Index_of_music_articles

  • Where Mathematics Comes From
  • 2000 mathematics book by Lakoff & Núñez

    due to a large number of metaphorical constructions. For example, the Pythagorean position that all is number, and the associated crisis of confidence

    Where Mathematics Comes From

    Where_Mathematics_Comes_From

  • Theories of humor
  • Conjectures explaining humor

    strained expectation into nothing." Kant explained laughter at humor as a response to an "absurdity." We first expect the world. Still, that expectation is

    Theories of humor

    Theories_of_humor

  • Partition of sums of squares
  • Concept that permeates much of inferential statistics and descriptive statistics

    lattice of the subspaces of an inner-product space Orthogonal projection Pythagorean theorem that the sum of the squared norms of orthogonal summands equals

    Partition of sums of squares

    Partition_of_sums_of_squares

  • Principles and Standards for School Mathematics
  • Guidelines produced by the National Council of Teachers of Mathematics

    learn foundational topics with conceptual understanding. Contrary to the expectation of many textbook publishers and educational progressives, the 2006 Curriculum

    Principles and Standards for School Mathematics

    Principles_and_Standards_for_School_Mathematics

  • Special relativity
  • Theory of interwoven space and time by Albert Einstein

    Lorentzian geometry. Distances in Euclidean geometry are calculated with the Pythagorean theorem and only involved spatial coordinates. In Lorentzian geometry

    Special relativity

    Special relativity

    Special_relativity

  • Prometheus
  • Figure in Greek mythology

    critic Harold Bloom in his book Shelley's Mythmaking expresses his high expectation of Shelley in the tradition of mythopoeic poetry. For Bloom, Percy Shelley's

    Prometheus

    Prometheus

    Prometheus

  • Epicureanism
  • Philosophical system

    the past and future, since memory of a past pleasant experience or the expectation of some potentially pleasing future can both be pleasurable experiences

    Epicureanism

    Epicureanism

    Epicureanism

  • Temple of Set
  • Occult religious organization founded in 1975

    explains the meaning and significance of the pentagram by referring to Pythagorean ideas and "mathematical perfection". At Setian gatherings, members wear

    Temple of Set

    Temple_of_Set

  • Eastern ethics in business
  • East and Southeast Asian ethics in business

    within a business or non-business interaction, which mirrors the historic expectation of rulers demonstrating benevolence. Mencius (Mencius, 1970, p. 49) stated

    Eastern ethics in business

    Eastern_ethics_in_business

  • Altruism
  • Concern for the well-being of others

    that benefits, directly or indirectly, another individual, without the expectation of reciprocity or compensation for that action. The theory of psychological

    Altruism

    Altruism

    Altruism

  • Glossary of ancient Roman religion
  • inscriptions record donations made by women for the benefit of sodales. Roman Pythagoreans such as Nigidius Figulus formed sodalicia, with which Ammianus Marcellinus

    Glossary of ancient Roman religion

    Glossary_of_ancient_Roman_religion

  • Ancient Greek religion
  • of deity. Various philosophical movements, including the Orphics and Pythagoreans, began to question the ethics of animal sacrifice, and whether the gods

    Ancient Greek religion

    Ancient Greek religion

    Ancient_Greek_religion

  • Cauchy–Schwarz inequality
  • Mathematical inequality relating inner products and norms

    After defining an inner product on the set of random variables using the expectation of their product, ⟨ X , Y ⟩ := E ⁡ ( X Y ) , {\displaystyle \langle X

    Cauchy–Schwarz inequality

    Cauchy–Schwarz_inequality

  • Si̍t-chûn Movement
  • Philosophical movement in Taiwan

    accelerated the 'Japanization' assimilation to the postwar retrocession expectation from the Taiwanese civil society. Public engagement in the public sphere

    Si̍t-chûn Movement

    Si̍t-chûn_Movement

  • Religion in ancient Rome
  • p. 46. Lo Monaco, Gaetano (2000). The Osirian Egyptian Order and the Pythagorean Transmission. Marostica (Vicenza): Letture S…consigliate. Iah-Hel, ed

    Religion in ancient Rome

    Religion_in_ancient_Rome

  • Community of goods of the early church of Jerusalem
  • Sharing of property by early Christians

    and the friend is an alter ego." Iamblichus of Chalcis wrote in his On Pythagorean Life (c. 300): "the origin of justice is community, equal right and a

    Community of goods of the early church of Jerusalem

    Community of goods of the early church of Jerusalem

    Community_of_goods_of_the_early_church_of_Jerusalem

  • Philosophy of music
  • Branch of philosophy

    perhaps its ability to entice us lies in music's ability to set up an expectation and then violate it. In the pre-modern tradition, the aesthetics of music

    Philosophy of music

    Philosophy_of_music

  • Reciprocity (social and political philosophy)
  • Concept in philosophy

    The social norm of reciprocity is the expectation that people will respond to each other in similar ways—responding to gifts and kindnesses from others

    Reciprocity (social and political philosophy)

    Reciprocity_(social_and_political_philosophy)

  • Frank Tweedy
  • American topographer and botanist (1854–1937)

    with a baseline for calculating multiple distances from that base via Pythagorean geometry. In the Rocky Mountains peaks were commonly visible from the

    Frank Tweedy

    Frank Tweedy

    Frank_Tweedy

  • Conscience
  • Moral philosophy or values of an individual

    compassionately performing the primary duty of good to others without expectation of material or spiritual reward), helps "purify the heart" and provide

    Conscience

    Conscience

    Conscience

  • Psychology of music
  • Branch of both psychology and musicology

    education through the Middle Ages and Renaissance remained rooted in the Pythagorean tradition, particularly through the quadrivium of astronomy, geometry

    Psychology of music

    Psychology of music

    Psychology_of_music

  • An Island in the Moon
  • Prose by William Blake

    something of an undefined role. As a Pythagorean, Sipsop is ideologically the opposite of Suction the Epicurean; Pythagoreanism embraces the mysticism that Epicureanism

    An Island in the Moon

    An Island in the Moon

    An_Island_in_the_Moon

  • Saint Martial school
  • Medieval school of music composition

    or on a "discordant concordance" like fourth and fifth. Concerning Pythagorean tuning thirds and sixths must be intonated as rough dissonances, they

    Saint Martial school

    Saint_Martial_school

  • Le Quart Livre
  • 1552 novel by François Rabelais

    tangible relationship between words and things is discussed, as well as the Pythagorean tradition of guessing disabilities or death based on the number of syllables

    Le Quart Livre

    Le Quart Livre

    Le_Quart_Livre

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PYTHAGOREAN EXPECTATION

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PYTHAGOREAN EXPECTATION

  • Unexpectation
  • n.

    Absence of expectation; want of foresight.

  • Wonder
  • v. i.

    To feel doubt and curiosity; to wait with uncertain expectation; to query in the mind; as, he wondered why they came.

  • Sham
  • n.

    That which deceives expectation; any trick, fraud, or device that deludes and disappoint; a make-believe; delusion; imposture, humbug.

  • Unfounded
  • a.

    Having no foundation; baseless; vain; idle; as, unfounded expectations.

  • Romantic
  • a.

    Entertaining ideas and expectations suited to a romance; as, a romantic person; a romantic mind.

  • Speculator
  • n.

    One who engages in speculation; one who buys and sells goods, land, etc., with the expectation of deriving profit from fluctuations in price.

  • Pythagorean
  • a.

    Of or pertaining to Pythagoras (a Greek philosopher, born about 582 b. c.), or his philosophy.

  • Pythagorism
  • n.

    The doctrines taught by Pythagoras.

  • Pythagorize
  • v. i.

    To speculate after the manner of Pythagoras.

  • Wait
  • v. i.

    To stay or rest in expectation; to stop or remain stationary till the arrival of some person or event; to rest in patience; to stay; not to depart.

  • Wait
  • v. t.

    To stay for; to rest or remain stationary in expectation of; to await; as, to wait orders.

  • Pythagorean
  • n.

    A follower of Pythagoras; one of the school of philosophers founded by Pythagoras.

  • Expectation
  • n.

    The value of any chance (as the prospect of prize or property) which depends upon some contingent event. Expectations are computed for or against the occurrence of the event.

  • Unconscionable
  • a.

    Not conscionable; not conforming to reason; unreasonable; exceeding the limits of any reasonable claim or expectation; inordinate; as, an unconscionable person or demand; unconscionable size.

  • Pythagoreanism
  • n.

    The doctrines of Pythagoras or the Pythagoreans.

  • Watch
  • v. i.

    To be expectant; to look with expectation; to wait; to seek opportunity.

  • Twittering
  • n.

    A slight nervous excitement or agitation, such as is caused by desire, expectation, or suspense.

  • Rise
  • v.

    To increase in amount; to enlarge; as, his expenses rose beyond his expectations.

  • Shall
  • v. i. & auxiliary.

    As an auxiliary, shall indicates a duty or necessity whose obligation is derived from the person speaking; as, you shall go; he shall go; that is, I order or promise your going. It thus ordinarily expresses, in the second and third persons, a command, a threat, or a promise. If the auxillary be emphasized, the command is made more imperative, the promise or that more positive and sure. It is also employed in the language of prophecy; as, "the day shall come when . . . , " since a promise or threat and an authoritative prophecy nearly coincide in significance. In shall with the first person, the necessity of the action is sometimes implied as residing elsewhere than in the speaker; as, I shall suffer; we shall see; and there is always a less distinct and positive assertion of his volition than is indicated by will. "I shall go" implies nearly a simple futurity; more exactly, a foretelling or an expectation of my going, in which, naturally enough, a certain degree of plan or intention may be included; emphasize the shall, and the event is described as certain to occur, and the expression approximates in meaning to our emphatic "I will go." In a question, the relation of speaker and source of obligation is of course transferred to the person addressed; as, "Shall you go?" (answer, "I shall go"); "Shall he go?" i. e., "Do you require or promise his going?" (answer, "He shall go".) The same relation is transferred to either second or third person in such phrases as "You say, or think, you shall go;" "He says, or thinks, he shall go." After a conditional conjunction (as if, whether) shall is used in all persons to express futurity simply; as, if I, you, or he shall say they are right. Should is everywhere used in the same connection and the same senses as shall, as its imperfect. It also expresses duty or moral obligation; as, he should do it whether he will or not. In the early English, and hence in our English Bible, shall is the auxiliary mainly used, in all the persons, to express simple futurity. (Cf. Will, v. t.) Shall may be used elliptically; thus, with an adverb or other word expressive of motion go may be omitted.

  • Pythagorical
  • a.

    See Pythagorean, a.