Randomness

Randomness is the lack of pattern or predictability in events. A random sequence of events, symbols or steps has no order and does not follow an intelligible pattern or combination. Individual random events are by definition unpredictable, but in many cases the frequency of different outcomes over a large number of events (or "trials") is predictable. For example, when throwing two dice, the outcome of any particular roll is unpredictable, but a sum of 7 will occur twice as often as 4. In this view, randomness is a measure of uncertainty of an outcome, rather than haphazardness, and applies to concepts of chance, probability, and information entropy.

The fields of mathematics, probability, and statistics use formal definitions of randomness. In statistics, a random variable is an assignment of a numerical value to each possible outcome of an event space. This association facilitates the identification and the calculation of probabilities of the events. Random variables can appear in random sequences. A random process is a sequence of random variables whose outcomes do not follow a deterministic pattern, but follow an evolution described by probability distributions. These and other constructs are extremely useful in probability theory and the various applications of randomness.

Cutter

Cutter may refer to:

Tools

People with the surname

Companies

Sport

Fictional characters

Other uses

Trail

A trail is usually a path, track or unpaved lane or road, though the term is also applied, in North America, to routes along rivers, and sometimes to highways. In the United Kingdom and the Republic of Ireland path or footpath is the preferred term for a walking trail. Some trails are single use and can only be used for walking, cycling, horse riding, snow shoeing, cross-country skiing, etc., others, as in the case of a bridleway in the UK, are multi-use, and can be used by walkers, cyclists and equestrians.

There are also unpaved trails used by dirt bikes and other off road vehicles. In some places, like the Alps, trails are used for moving cattle and other livestock (see transhumance). In the US historically, the term was used for a route into or through wild territory used by emigrants (e.g. the Oregon Trail).

Usage

In Australia, the term track can be used interchangeably with trail, and can refer to anything from a dirt road to an unpaved pedestrian path. The term trail gained popularity during World War II, when many servicemen from the United States were stationed in Australia, which probably influenced its being adopted by elements of the Australian media at the time (see Kokoda Track).

Paraponera clavata

Paraponera clavata is a species of ant, commonly known as the bullet ant, named on account of its powerful and potent sting due to its venom. It inhabits humid lowland rainforests from Nicaragua and the extreme east of Honduras south to Paraguay.

Taxonomy

Paraponera clavata was first described by Danish zoologist Johan Christian Fabricius, who named it Formica clavata in his 1775 publication Systema entomologiae, based on a worker he collected. Fabricius incorrectly listed its type locality as India, although these ants are only found in South America. French zoologist Pierre André Latreille would later transfer the species to the genus Ponera in 1804. In 1858, the genus Paraponera was established by British entomologist Frederick Smith, who designated Paraponera clavata as the type species by monotypy (the condition of a taxonomic group having only a single taxon described). In this publication, Smith would synonymise multiple taxons under Paraponera clavata, including Formica armata, Formica spininoda, Ponera tarsalis and Ponera clavata. Later publications would also synonymise more taxons, including Formica aculeata and Formica clavata. Until 1994, Paraponera clavata was the sole member of the genus Paraponera and the subfamily Paraponerinae, but the extinct Paraponera dieteri from the Miocene was described by Cesare Baroni Urbani.

Coyote

The coyote (US /kaɪˈoʊtiː/ or /ˈkaɪ.oʊt/, UK /kɔɪˈjoʊteɪ/, or /kɔɪˈjoʊt/;Canis latrans) is a canid native to North America. It is a smaller, more basal animal than its close relative, the gray wolf, being roughly the North American equivalent to the Old World golden jackal, though it is larger and more predatory in nature. It is listed as "least concern" by the IUCN, on account of its wide distribution and abundance throughout North America, even southwards through Mexico and Central America. It is a highly versatile species, whose range has expanded amidst human environmental modification. This expansion is ongoing, and it may one day reach South America, as shown by the animal's presence beyond the Panama Canal in 2013.As of 2005, 19 subspecies are recognized.

The ancestors of the coyote diverged from those of the gray wolf, 1–2 million years ago, with the modern species arising in North America during the Middle Pleistocene. It is highly flexible in social organization, living either in nuclear families or in loosely knit packs of unrelated individuals. It has a varied diet consisting primarily of animal matter, including ungulates, lagomorphs, rodents, birds, reptiles, amphibians, fish, and invertebrates, though it may also eat fruit and vegetable matter on occasion. It is a very vocal animal, whose most iconic sound consists of a howl emitted by solitary individuals.Humans aside, cougars and gray wolves are the coyote's only serious enemies. Nevertheless, coyotes have on occasion mated with the latter species, producing hybrids colloquially called "coywolves".