One problem with sports arbitrage is that bookmakers sometimes make mistakes and this can lead to an invocation of the ' palpable error ' rule, which most bookmakers invoke when they have made a mistake by offering or posting incorrect odds.

This rule simplifies the calculation of winnings: a maximum pass odds bet on a 3-4-5X table will always be paid at six times the pass line bet regardless of the point.

Under the Bayesian interpretation of probability, Bayes ' rule may be thought of as Bayes ' theorem in odds form.

So the rule says that the posterior odds are the prior odds times the Bayes factor.

In probability theory and applications, Bayes ' rule relates the odds of event to event, before and after conditioning on event.

Bayes ' rule may be preferred to Bayes ' theorem when the relative probability ( that is, the odds ) of two events matters, but the individual probabilities do not.

Under the Bayesian interpretation of probability, Bayes ' rule relates the odds on probability models and before and after evidence is observed.

By analogy to the prior and posterior probability terms in Bayes ' theorem, Bayes ' rule can be seen as Bayes ' theorem in odds form.

Given events, and, Bayes ' rule states that the conditional odds of given are equal to the marginal odds of multiplied by the Bayes factor:

Deng's belief, however, stipulated that the only solution to keeping the legitimacy of Communist rule over China was to continue the drive for modernization and economic reform, and therefore placed himself at odds with Jiang.

The " rule of odds " suggests that an odd number of subjects in an image is more interesting than an even number.

The New York Times Kelefa Sanneh described him as " a wounded hero beating the odds " and it " gave him a chance to prove that he was the exception to the rule that producers can't rap.

The law which governs home rule charter petitions states that they must be referred to the chairman of the board of canvassers for verification of the signatures within 10 days and Mr. Martinelli happens to hold that post.

The Ascanian dynasties in the two Saxon states became extinct in 1689 and in 1422, respectively, but Ascanians continued to rule in the smaller state of Anhalt and its various subdivisions until monarchy was abolished in 1918.

For bridged alkenes, the Bredt's rule states that a double bond cannot be placed at the bridgehead of a bridged ring system, unless the rings are large enough.

This rule provides states with a solution to the problem of power plant pollution that drifts from one state to another.

The USA is the only Western country that does not distinguish sludge-source compost from green-composts, and by default in the USA 50 % of states expect composts to comply in some manner with the federal EPA 503 rule promulgated in 1984 for sludge products.

The chain rule states that, under appropriate conditions,

This rule states that " In the heterolytic addition of a polar molecule to an alkene or alkyne, the more electronegative ( nucleophilic ) atom ( or part ) of the polar molecule becomes attached to the carbon atom bearing the smaller number of hydrogen atoms.

In the preface to the law code, he states, " Anu and Bel called by name me, Hammurabi, the exalted prince, who feared Marduk, the chief god of Babylon ( The Human Record, Andrea & Overfield 2005 ), to bring about the rule in the land.

A wide variety of leaders coming to power in a number of different kinds of regimes, such as military juntas, single-party states and civilian governments under personal rule, have been described as dictators.

The evolution rule of the dynamical system is a fixed rule that describes what future states follow from the current state.

Paraphrasing a rule by St Vincent of Lérins Hasler states

The government led by Prime Minister Benjamin Disraeli, conferred the additional title upon her by an Act of Parliament, reputedly to assuage the monarch's irritation at being, as a mere Queen, notionally inferior to her own daughter ( Princess Victoria was the wife of the reigning German Emperor ); the Indian Imperial designation was also formally justified as the expression of Britain succeeding as paramount ruler of the subcontinent the former Mughal ' Padishah of Hind ', using indirect rule through hundreds of princely states formally under protection, not colonies, but accepting the British Sovereign as their suzerain.

Trade and diplomatic relations developed between England and the Barbary states during the rule of Elizabeth.

This is known as the mirror image rule and is related to the Franck – Condon principle which states that electronic transitions are vertical, that is energy changes without distance changing as can be represented with a vertical line in Jablonski diagram.

Individual states may require the FDD to contain their own specific requirements, but the requirements in state disclosure documents must be in compliance with the federal rule that governs federal regulatory policy.

There is no private right of action of action under the FTC rule for franchisor violation of the rule, but fifteen or more of the states have passed statutes that provide this right of action to franchisees when fraud can be proven under these special statutes.

In simple chemistry, as per valence bond theory, the carbon atom must follow the " 4-hydrogen rule ", which states that the maximum number of atoms available to bond with carbon is equal to the number of electrons that are attracted into the outer shell of carbon. In terms of shells, carbon consists of an incomplete outer shell, which comprises 4 electrons, and thus has 4 electrons available for covalent or dative bonding.

" Neo-Hittite " post-Empire states, petty kingdoms under Assyrian rule, may have lingered on until ca.

The numbers of British in India were small, yet they were able to rule two-thirds of the subcontinent directly and exercise considerable leverage over the princely states that accounted for the remaining one-third of the area.

With allies among the plain states, Elam attacked and destroyed the empire of Eshnunna, destroying a number of cities and imposing its rule on portions of the plain for the first time.

* 1949 – The merger of two princely states of India, Cochin and Travancore, into the state of Thiru-Kochi ( later re-organized as Kerala ) in the Indian Union ends more than 1, 000 years of princely rule by the Cochin Royal Family.

During Reconstruction, Davis remained silent ; however, he privately expressed opinions that federal military rule and Republican authority over former Confederate states was unjustified.

The British Indian Empire, which included present-day India, Pakistan and Bangladesh, was divided into two types of territories: the Provinces of British India, which were governed directly by British officials responsible to the Governor-General of India ; and princely states, under the rule of local hereditary rulers who recognised British suzerainty in return for local autonomy, in most cases as established by treaty.

Most of my stories were obtained by simply seeking out the person who could give me the facts, and not as a rule by playing clever tricks.

While he was at it, the philosopher of the Kremlin contributed an additional assist to the rule of reason by bellowing at those in the west who can't appreciate coexistence thru suicide.

Another evidence of the spreading rule of reason was provided from Mexico City with the daily hijacking of an American plane by a demented Algerian with a gun.

I am not easily persuaded that a rule accepted by so many people for so many centuries can be so lightly dismissed.

Phonemes connected by a morphophonemic rule commonly show a good bit of phonetic similarity, possible because of the several dimensions of contrast in the system.

More often, though, he is so accustomed to submitting to authority on the job without argument that he lives by the same rule at home.

The rule was enforced by demand of Sen. Wayne Morse ( D., Ore. ) in connection with President Eisenhower's cabinet selections in 1953 and President Kennedy's in 1961.

This year, I am told, the CBS network will continue to abide by the rule but NBC will play to a conclusion here.

It was `` Duty '' he said that his parents had given him as a rule -- beyond even the love that suffused his being and the sense of humor with which he was largely supplied -- and it was duty he would perform, though it cost him acute pain and exhausted him by the age of fifty.

He denounced secession as anarchy, and explained that majority rule had to be balanced by constitutional restraints in the American system.

If the affiant is a party in the case, the affiant's opponent may be successful in having the affidavit admitted as evidence, as statements by a party-opponent are admissible through an exception to the hearsay rule.

Areas of the south east such as Harran and the Hakkari mountains continued to be inhabited by remnants of the Assyrians, but these regions remained under Parthian and then Sassanid Persian rule.

The atomic mass of these isotopes varied by integer amounts, called the whole number rule.

But by the 10th century the rule was commonly set aside, and we find frequent complaints of abbots dressing in silk, and adopting sumptuous attire.

* 1960 – Forced out by the April Revolution, President of South Korea Syngman Rhee resigns after twelve years of dictatorial rule.

The same rule applies if one were to address a particle by its constituent components.

* Independence Day, celebrates the day on which Pakistan was made an independent country based on border lines created by the British during the end of their rule of India in 1947.

This rule is completed in his treatise, Ars catholicae fidei, as follows: Theology itself may be demonstrated by reason.

* 1772 – King Gustav III completes his coup d ' état by adopting a new Constitution, ending half a century of parliamentary rule in Sweden and installing himself as an enlightened despot.

In 1947, British rule in the South Asia was replaced by the sovereign, independent nations of India, Pakistan and later Bangladesh, resulting in the migration of millions people and significant loss of life and property.

This, combined with their post-battle rewards, prompted them to raise Alaric " on a shield " and proclaim him king ; according to Jordanes ( a Gothic historian of varying importance, depending upon who is asked ), both the new king and his people decided " rather to seek new kingdoms by their own work, than to slumber in peaceful subjection to the rule of others.

Johnson proposed adoption of a rule allowing election of a Speaker by a plurality ; the rule was passed and Howell Cobb was so elected.

However, the rule of the dynasty was relatively short-lived and the Almoravids fell-at the height of their power-when they failed to quell the Masmuda-led rebellion initiated by Ibn Tumart.