Probability distribution

In probability and statistics, a probability distribution assigns a probability to each measurable subset of the possible outcomes of a random experiment, survey, or procedure of statistical inference. Examples are found in experiments whose sample space is non-numerical, where the distribution would be a categorical distribution; experiments whose sample space is encoded by discrete random variables, where the distribution can be specified by a probability mass function; and experiments with sample spaces encoded by continuous random variables, where the distribution can be specified by a probability density function. More complex experiments, such as those involving stochastic processes defined in continuous time, may demand the use of more general probability measures.

In applied probability, a probability distribution can be specified in a number of different ways, often chosen for mathematical convenience:

History monoid

In mathematics and computer science, a history monoid is a way of representing the histories of concurrently running computer processes as a collection of strings, each string representing the individual history of a process. The history monoid provides a set of synchronization primitives (such as locks, mutexes or thread joins) for providing rendezvous points between a set of independently executing processes or threads.

History monoids occur in the theory of concurrent computation, and provide a low-level mathematical foundation for process calculi, such as CSP the language of communicating sequential processes, or CCS, the calculus of communicating systems. History monoids were first presented by M.W. Shields.

History monoids are isomorphic to trace monoids (free partially commutative monoids) and to the monoid of dependency graphs. As such, they are free objects and are universal. The history monoid is a type of semi-abelian categorical product in the category of monoids.

Distribution (economics)

Distribution in economics refers to the way total output, income, or wealth is distributed among individuals or among the factors of production (such as labour, land, and capital). In general theory and the national income and product accounts, each unit of output corresponds to a unit of income. One use of national accounts is for classifying factor incomes and measuring their respective shares, as in National Income. But, where focus is on income of persons or households, adjustments to the national accounts or other data sources are frequently used. Here, interest is often on the fraction of income going to the top (or bottom) x percent of households, the next y percent, and so forth (say in quintiles), and on the factors that might affect them (globalization, tax policy, technology, etc.).

Descriptive, theoretical, scientific, and welfare uses

Income distribution can describe a prospectively observable element of an economy. It has been used as an input for testing theories explaining the distribution of income, for example human capital theory and the theory of economic discrimination (Becker, 1993, 1971).

Talent (comics)

Talent is a comic book series written by Christopher Golden and Tom Sniegoski, drawn by Paul Azaceta, published by Boom! Studios.

Plot

A college professor, Nicholas Dane is the only survivor of flight 654, a plane that crashes into the sea and kills the crew and 148 other passengers. Unable to account for how he was able to survive underwater for 12 hours, he is suspected of involvement in the incident. Fleeing as a fugitive, Dane find that he now possesses the talents of the other passengers and crew and must evade members of a shadowy conspiracy out to get him.

Collected editions

The series has been collected as a trade paperback:

Film

The film has been optioned by Universal Studios via producers Marc E. Platt, Ross Richie and Andrew Crosby (the latter two being BOOM! Studios' cofounders). The screenplay will be adapted by Zack Whedon, brother to Joss Whedon. No director has been attached yet.

Notes

References

Talent (measurement)

The talent (Latin: talentum, from Ancient Greek: τάλαντον, talanton 'scale, balance, sum') was one of several ancient units of mass, a commercial weight, as well as corresponding units of value equivalent to these masses of a precious metal. The talent of gold was known to Homer, who described how Achilles gave a half-talent of gold to Antilochus as a prize. It was approximately the mass of water required to fill an amphora. A Greek, or Attic talent, was 26 kilograms (57 lb), a Roman talent was 32.3 kilograms (71 lb), an Egyptian talent was 27 kilograms (60 lb), and a Babylonian talent was 30.3 kilograms (67 lb).Ancient Israel, and other Levantine countries, adopted the Babylonian talent, but later revised the mass. The heavy common talent, used in New Testament times, was 58.9 kilograms (130 lb).

An Attic talent of silver was the value of nine man-years of skilled work. During the Peloponnesian War, an Attic talent was the amount of silver that would pay a month's wages of a trireme crew of 200 men.Hellenistic mercenaries were commonly paid one drachma per day of military service. There were 6,000 drachmae in an Attic talent.

Bombardier Talent

The Talent is a multiple unit railcar manufactured by Bombardier that was developed by Waggonfabrik Talbot in Aachen shortly before the company was acquired by Bombardier in 1995. The name Talent is an acronym in German for TALbot LEichter Nahverkehrs Triebwagen (in English, Talbot light suburban motor-coach).

It comes in a number of variants, including high-floor, low-floor, diesel-mechanical, diesel-hydraulic, diesel-electric, electric, and tilting, and in lengths of two, three, or four carriages. As with most multiple-unit trains, Talent units can run individually, or be coupled together to form longer trains.

The Talent is an articulated railcar with Jacobs bogies. Partially as a result of this, the interior of an entire unit is essentially a single, long cabin; it is possible to see or walk from end to end without opening doors or passing through narrower gangways. The sharing of bogies also means that a Talent unit cannot be easily disassembled or rearranged without the assistance of a railway yard. In those variants whose floor is 590 mm (23.2 in) above the rails, this means that the articulation floor is raised, but with ramp access, since it needs to be higher than the wheel diameter, above rail level. In the variants with 800 and 960 mm (31.5 and 37.8 in) floor height, the floor is flat from the first door to the last. The endsections have a raised floor in all variants, because the traction equipment installed underneath requires more space than unpowered bogies.