In Chapters 3 and 4 we answered questions like those in the examples, usually by counting points in a sample space.

In general, if one wants to associate a consistent size to each subset of a given set while satisfying the other axioms of a measure, one only finds trivial examples like the counting measure.

For a positive integer n, the number of prime factors of n and the sum of the prime factors of n ( not counting multiplicity ) are examples of arithmetic functions of n that are additive but not completely additive.

In the ensuing case of Robinson v. Mandell, Charles Sanders Peirce testified that he had made pairwise comparisons of 42 examples of Howland's signature, overlaying them and counting the number of downstrokes that overlapped.

Other episodes include famous examples of legal money-making techniques such as card counting.

Other examples include counting tiles on the floor or ceiling, the number of lines on the highway, or simply the number of times one breathes or blinks.

But a few surprising examples of mathematical abstraction notwithstanding ( for example, chimpanzees can be trained to carry out symbolic addition with digits, or the report of a parrot understanding a “ zero-like concept ”), all examples of animal intelligence with respect to mathematics are limited to basic counting abilities.

Those three other great activities of the Persians, the bath, the teahouse, and the zur khaneh ( the latter a kind of club in which a leader and a group of men in an octagonal pit move through a rite of calisthenics, dance, chanted poetry, and music ), do not take place in buildings to which entrance tickets are sold, but some of them occupy splendid examples of Persian domestic architecture: long, domed, chalk-white rooms with daises of turquoise tile, their end walls cut through to the orchards and the sky by open arches.

Several other examples: central and satellite

Note that this premise uses the phrase " is not ", a form of " to be "; this and many other examples show that he did not intend to abandon " to be " as such.

Other examples include various prescription drugs ( e. g. most antiepileptic drugs have cerebellar ataxia as a possible adverse effect ), Lithium level over 1. 5mEq / L, cannabis ingestion and various other recreational drugs ( e. g. ketamine, PCP or dextromethorphan, all of which are NMDA receptor antagonists that produce a dissociative state at high doses ).

18 ; 20-21 .</ ref > These examples further show how Anaximenes like the other Milesians looked for the broader picture in nature, seeking unifying causes for diversely occurring events rather than treating each one on a case-by-case basis or attributing them to gods or a personified nature.

Like the other groups, examples of their music can be found on YouTube.

This topic was further developed in the 1930s by Alonso Church and Alan Turing, who on the one hand gave two independent but equivalent definitions of computability, and on the other gave concrete examples for undecidable questions.

Norse berserkers and the Zulu battle trance are two other examples of the tendency of certain groups to work themselves up into a killing frenzy.

One of these was the property, an essential universal true of the species, but not in the definition ( in modern terms, some examples would be grammatical language, a property of man, or a spectral pattern characteristic of an element, both of which are defined in other ways ).

He also quotes an inscription from the 10th Century king of Sri Lanka, Mahinda IV ( 956-972 CE ) who had the words inscribed " none but the bodhisattvas would become kings of Sri Lanka ", among other examples.

In-service examples are still in use by other operators.

Some examples of other well-known calculi are propositional calculus, variational calculus, lambda calculus, pi calculus, and join calculus.

The mountain gorilla, giant squid and Hoan Kiem Turtle are other examples of extant species that were brought to the attention of modern science but formerly thought to be cryptids.

However, by identifying clusters of observable properties that are associated with core examples of clitics on the one hand, and core examples of affixes on the other, one can pick out a battery of tests that provide an empirical foundation for a clitic / affix distinction.

This is different from other improvisation methods with computers that use algorithmic composition to generate new music without performing analysis of existing music examples.

On other examples, interior surfaces were built up with any mixture of clay, peat, stone, timber or brush-what ever was available.

In addition to Maeshowe itself, which was constructed c. 2700 BC, there are various other examples from the Orkney Mainland.

The ColecoVision's box itself bears several other examples, among them Chess Challenger, Side Trak, Rip Cord, Horse Racing, and Mr. Turtle.

Pepper, the notion of the concept album came to the forefront of the popular and critical mind, with the earlier prototypes and examples from traditional pop music and other genres sometimes forgotten.

As for the other examples above, because unit vectors cannot change magnitude, their rate of change is always perpendicular to their direction ( see the left-hand insert in the image above ):

The term " Low Fantasy " is used to represent other types of fantasy, however, so while comic fantasies may also correctly be classified as low fantasy, many examples of low fantasy are not comic in nature.

Prominent examples include carbon monoxide, nitric oxide, and hydrogen chloride, but other important examples include gaseous MgO, SiO, and many other species not normally considered diatomic because they polymerize near room temperature.

The following short examples illustrate some of the ways that standard English writing can be modified to use E-Prime.

In many ways his work was more in tune with Zürich Dada's championing of performance and abstract art than Berlin Dada's agit-prop approach, and indeed examples of his work were published in the last Zürich dada publication, der Zeltweg, November 1919, alongside the work of Arp and Sophie Tauber.

Wittgenstein introduces the term using simple examples, but intends it to be used for the many ways in which we use language.

He criticized Whorf's examples from an objectivist view of language holding that languages are principally meant to represent events in the real world and that even though different languages express these ideas in different ways, the meanings of such expressions and therefore the thoughts of the speaker are equivalent.

Several ways of illustrating everyday analogies have been formulated in terms of the plate trick, tangloids and other examples of orientation entanglement.

The Chicago Manual of Style, in its section " Words derived from proper names ", gives some examples of both lowercase and capitalized stylings, including a few terms styled both ways, and says, " Authors and editors must decide for themselves, but whatever choice is made should be followed consistently throughout a work.

* contracting out the provision or management of public services or facilities to commercial enterprises indeed, there is a wide range of possible ways in which function can be organized and many examples of within public sector and public-private institutional forms, particularly in infrastructure ;

Although Steward and Barnett seemed to be suggesting that anthropology as such should restrict itself to purely academic affairs, people within and without the academy have continued to debate the ways non-anthropologists have used this principle in public policy concerning ethnic minorities or in international relations ( see this interview or this article on cultural relativism and human rights for examples of this debate ).

While several studies are being done on ways to improve the ecotourism structure, some argue that these examples provide rationale for stopping it altogether.

" Wigner used several examples to demonstrate why ' bafflement ' is an appropriate description, such as showing how mathematics adds to situational knowledge in ways that are either not possible otherwise or are so outside normal thought to be of little notice.

Organizing ourselves differently, communicating and making decisions in new ways, are examples of social ingenuity.

St. Gregory the Great, a doctor of the Church, described five ways by which one can commit sin of gluttony, and corresponding biblical examples for each of them:

The record was released in early 1968, at a time when there was a receptive audience for “ underground music ” which combined musical experimentalism with radical social and / or political lyrics – other examples, in their very different ways, including the Velvet Underground ( who shared a common background in the New York experimental music scene ; according to Moskowitz, Nico at one point tried to join the USA ), Frank Zappa ( whom Byrd considered a niche-marketer " subsumed in a self-referential loop "), Love ’ s Forever Changes, Country Joe and the Fish, and Jefferson Airplane.

He was briefly the subject of a spin-off strip in the early 1990s that parodied famous films, usually in ways involving the character's love of food ( examples including ' You Only Eat Rice ' and 20, 000 Leeks Under The Sea.

Two prominent examples of media franchises with an expanded universe are Star Wars and Star Trek-both have a wide range of original novels, comics, video games, and other media that add to the mythology of each universe in different ways.

Prairie restoration, establishment of wildlife preserves, and encouragement of diverse wildlife landscaping rather than monoculture lawns, are examples of ways to help pollinators.

Such examples illustrate that distinguishing predicates, arguments, and adjuncts can become difficult and there are many cases where a given expression functions in more ways than one.

People spell this creature's name in several different ways, ' anthropophagi ' or ' anthropophage ' being two examples.

Mr. Herman wants to have it both ways: to claim that leading American journals " mobilize bias " but object when I cite crucial examples that weaken the book's thesis.

The treatises begin from a premise of parallelism and then move on to suggest better ways of making the organum, involving boundary tones, and the vast majority of musical examples in the treatises in fact use intervals of 2nds, 3rds, 4ths, 5ths, and 6ths ( by inversion / octave doubling ), to create a more artistic result.

There are several ways of producing explicit examples and mathematical visualization:

Charles Wiseman has applied the current concepts of Strategic Information Systems in work at GTE and other companies, and in his consulting work as President of Competitive Applications, Inc. His book, Strategy and Computers: Information Systems as Competitive Weapons, extends Porter ’ s thinking in many practical ways in the Information Systems area, and discusses many examples of strategic systems.

* Disney films, most specifically animated films, often use poetic justice as an ending device ( examples include The Lion King, Aladdin, and The Great Mouse Detective, among many others ), with the hero being rewarded, and the villain being punished in ironic and, occasionally, fatal ways.

In specific examples, such a map can be constructed in many ways.