According to the definition by IUPAC, the former two are alkanes, whereas the third group is called cycloalkanes.

Here the first equality follows from the first part of Einstein's theory, the third equality follows from the definition of Boltzmann's constant as, and the fourth equality follows from Stokes ' formula for the mobility.

Abramowitz and Stegun substitute the integral of the first kind,, for the argument in their definition of the integrals of the second and third kinds, unless this argument is followed by a backslash: i. e. for.

Marx defined the value of the commodity by the third definition.

If only the second and third conditions of the definition of measure above are met, and takes on at most one of the values, then is called a signed measure.

:" Now if Q ( x ) is a partial recursive predicate, there is a decision procedure for Q ( x ) on its range of definition, so the law of the excluded middle or excluded " third " ( saying that, Q ( x ) is either t or f ) applies intuitionistically on the range of definition.

This definition is very close to that of the third sector, which consists of " private organisations that are formed and sustained by groups of people acting voluntarily and without seeking personal profit to provide benefits for themselves or for others ".

The last third of the 19th century saw the arithmetization of analysis by Weierstrass, who thought that geometric reasoning was inherently misleading, and introduced the " epsilon-delta " definition of limit.

A third, theoretically newer, definition of bravery is psychological bravery which involves things such as overcoming one ’ s own addictive habits, irrational anxieties, and harmful dependent relationships.

On the third day, the jury asked Judge Gerald Fisher to clarify the definition of assault.

Sometimes the second or third property above is taken as the definition of the topological interior.

The third definition Socrates offers is ' being able to tell some mark by which the object you are asked about differs from all other things ' ( 208c ), giving the example that the Sun is distinct for its brightness.

The third question is about definition.

A third definition is the labeled states, Washington, Oregon, and Idaho, and the province of British Columbia.

The scherzo's precise definition has varied over the years, but it often refers to a movement which replaces the minuet as the third movement in a four-movement work, such as a symphony, sonata, or string quartet.

With the first equality by the definition of pdf for multiple variables, the second by the remark above, the third by hypothesis, and the fourth because the summation is not over.

With the first equality by definition of conditional probability density, the second by the remark above, the third by the equality proven above, and the fourth by simplification.

His next famous case was Chudleigh's Case, a dispute over the interpretation of the Statute of Uses, while his third was Slade's Case, a dispute between the Common Pleas and King's Bench over assumpsit now regarded as a classic example of the friction between the two courts and the forward movement of contract law ; Coke's argument in the case formed the first definition of consideration.

By broad definition, New York City's CBD comprises the whole southern half or third of Manhattan island.

This last definition is favored by those who argue for a strict interpretation of the " third gender " concept.

Various scholars have debated the nature of such categories, as well as the definition of the term " third gender ".

On July 19, 2008, WGN-TV became the third Chicago station to broadcast its newscasts in high definition, and debuted new on-air graphics ( as of July 2010, WGN-TV is the first station in Chicago to broadcast all locally-originated portions of its newscasts, including live field reports, in high definition ; in contrast to the other major English-language news stations in Chicago who all broadcast in-studio segments in HD and live field footage in 16: 9 widescreen standard definition ).

In more recent years, pure steals of home are rare, although a player may steal home plate during a " delayed double steal ," in which a runner on first attempts to steal second, while the runner on third breaks for home as soon as the catcher throws to second base.

There is a third view that sees merit in both arguments above and attempts to bridge them, and so cannot be articulated as starkly as they can ; it sees more than one Christianity and more than one attitude towards paganism at work in the poem, separated from each other by hundreds of years ; it sees the poem as originally the product of a literate Christian author with one foot in the pagan world and one in the Christian, himself a convert perhaps or one whose forbears had been pagan, a poet who was conversant in both oral and literary milieus and was capable of a masterful " repurposing " of poetry from the oral tradition ; this early Christian poet saw virtue manifest in a willingness to sacrifice oneself in a devotion to justice and in an attempt to aid and protect those in need of help and greater safety ; good pagan men had trodden that noble path and so this poet presents pagan culture with equanimity and respect ; yet overlaid upon this early Christian poet's composition are verses from a much later reformist " fire-and-brimstone " Christian poet who vilifies pagan practice as dark and sinful and who adds satanic aspects to its monsters.

In Dune: House Corrino ( published in 2001 and the third novel in the Prelude to Dune prequel series by Brian Herbert and Kevin J. Anderson ), Piter De Vries discovers the Harkonnen heritage of Lady Jessica and her newborn son Paul, and attempts to kidnap and ransom the infant.

A third time Enki succumbs to temptation, and attempts seduction of Uttu.

The third variable that is seen is that attempts of the therapist to correct the pusher posture by aiming to realign them to upright posture are resisted by the patient.

The third section is perhaps the most complex, and attempts to convey the concepts and language necessary to describe behavior and conversation between individuals.

Whereas the 1980 and 1983 coup attempts against Gayoom's presidency were not considered serious, the third coup attempt in November 1988 alarmed the international community.

The third generation consists of credible attempts at this single industry-standard language, with Unified Modeling Language standardizing the method was recognized, and the languages developed into notations that are suitable for a wide range of development methods.

A third theory of perception, enactivism, attempts to find a middle path between realist and anti-realist theories, positing that cognition arises as a result of the dynamic interplay between an organism's sensory-motor capabilities and its environment.

Before Franklin D. Roosevelt, attempts at a third term were encouraged by supporters of Ulysses S. Grant and Theodore Roosevelt ; neither of these attempts succeeded.

The third, tachyons, arguably do not exist as their existence is hypothetical ; even if their existence were to be proven, attempts to quantize them appear to indicate that they may not be used for superluminal communication, because experiments to produce or absorb tachyons cannot be fully controlled.

The first third ( set in the period from January 1999 — April 2000 ) details the attempts of the Earthmen to reach Mars, and the various ways in which the Martians keep them from returning.

Two Turkic attempts to push east of the broad Jamuna and Brahmaputra rivers were repulsed, but a third led by Mughisuddin Tughral conquered the Sonargaon area south of Dhaka to Faridpur, bringing the Sen Kingdom officially to an end by 1277.

The island was nearly lost to Athens by two attempts of the oligarchic faction to effect a revolution ; on each occasion the popular party ultimately won the day and took a most bloody revenge on its opponents ( 427 BC and 425 BC ). The lion of Menekrates at the Archaeological Museum of CorfuDuring the Sicilian campaigns of Athens Corcyra served as a supply base ; after a third abortive rising of the oligarchs in 410 BC it practically withdrew from the war.

The two characters are close friends throughout the series, but their relationship does not resume until Star Trek: Insurrection, the third Star Trek film set in the Next Generation era, although Thomas Riker, the duplicate created by a transporter malfunction, attempts to respark their relationship in " Second Chances ".

The pro-Nasser forces were unable to decisively defeat the royalists who by then controlled a third of the country and as the war continued many Yemenis came to resent the Egyptian presence, despite Nasser's attempts to foster economic growth and offer military support for Sallal's government.

The revolt was precipitated by King Richard II's heavy-handed attempts to enforce the third medieval poll tax, first levied in 1377 supposedly to finance military campaigns overseas.

A second platoon dispatched to take this new position ran into a third, and attempts to deal with this met with fire from a fourth position.

In at least a part of its range, more than a third of all nesting attempts are entirely unsuccessful.

There were multiple attempts to record Hole's third album, and one such attempt was in New Orleans in winter 1995.

A third suggestion is that the kings of Essex solicited the invasion, in response to recent Kentish attempts to gain dominance over the East Saxons.

( a ) Except as provided in subsection ( b ) of this section, whoever, whether inside or outside the United States, seizes or detains and threatens to kill, to injure, or to continue to detain another person in order to compel a third person or a governmental organization to do or abstain from doing any act as an explicit or implicit condition for the release of the person detained, or attempts or conspires to do so, shall be punished by imprisonment for any term of years or for life and, if the death of any person results, shall be punished by death or life imprisonment.

He fought a war with Carthage from 397 BC to 392 BC with mixed success ; his attempts to drive the Carthaginians entirely out of the island of Sicily failed, and at his death they were masters of at least a third of it.