For all these units, the word " force " is often left out, for example abbreviating " pound-force-foot " to simply " pound-foot " ( in this case, it would be implicit that the " pound " is pound-force and not pound-mass ).

Nash's proof of the C < sup > k </ sup >- case was later extrapolated into the h-principle and Nash – Moser implicit function theorem.

In this case, yaoi is used to describe titles that contain largely sex scenes and other sexually explicit themes and shōnen-ai is used to describe titles that focus more on romance and do not include explicit sexual content, although they may include implicit sexual content.

Both government and parliament tended to present this duty as a kind of implicit approval, as parliament could in principle force government to call off the mission, but the Council of State has made clear this is at least formally not the case.

When the upper and lower dental formulae are the same, some texts write the formula without a fraction ( in this case, 2. 1. 2. 3 ), on the implicit assumption that the reader will realise it must apply to both upper and lower quadrants.

Many more authors state theorems for Dedekind domains with the implicit proviso that they may require trivial modifications for the case of fields.

Like a rule-induction algorithm, CBR starts with a set of cases or training examples ; it forms generalizations of these examples, albeit implicit ones, by identifying commonalities between a retrieved case and the target problem.

The inverse function theorem ( and the implicit function theorem ) can be seen as a special case of the constant rank theorem, which states that a smooth map with locally constant rank near a point can be put in a particular normal form near that point.

Having recently lost a major military conflict against the USSR, Zhang Xueliang, falsely claiming to be under implicit instructions from Chiang Kai-shek's Nationalist Government to adhere to a nonresistance policy, had already urged his men not to put up a fight and to store away any weapons in case the Japanese invaded ( a piece of information that the Japanese advisors to Zhang's army knew ahead of time, hence facilitating the planning ).

The case of algebraic curves was already implicit in the Riemann-Roch theorem.

Lochner vs. New York,, was a landmark United States Supreme Court case which held that " liberty of contract " was implicit in the Due Process Clause of the Fourteenth Amendment.

Fenris State University professor Dr. Barry Mehler cited for example a quote from a 1969 dissertation by Sheldon Morris Neuringer titled American Jewry and United States immigration policy, 1881-1953 where MacDonald surmised that noted that when Neuringer noted Jewish opposition in 1921 and 1924 to the anti-immigration legislation at the time was due more to it having the “ taint of discrimination and anti-Semitism ” as opposed to how it would limit Jewish immigration, MacDonald wrote, “… Jewish opposition to the 1921 and 1924 legislation was motivated less by a desire for higher levels of Jewish immigration than by opposition to the implicit theory that America should be dominated by individuals with northern and western European ancestry .” “ It seems to me Mr. MacDonald is misrepresenting Mr. Neuringer in this case and I posted my query hoping that a historian familiar with the literature might have a judgment on MacDonald's use of the historical data ,” Mehler wrote, citing other examples.

In 1933 Random House, which had the rights to publish the book in the United States, arranged for a test case to challenge the implicit ban, so as to publish the work without fear of prosecution.

In the case of the latter, a high-concept story may be employed to allow commentary on an implicit subtext.

Various forms of the implicit function theorem exist for the case when the function is not differentiable.

It may be worth noting that the user in the Zeidenberg case had purchased and opened the packages of multiple copies of the product, and therefore could not easily prove he remained ignorant of the contract / license ; whereas in many cases, the so-called shrink-wrap " license " agreement has not been reviewed at the time of purchase ( having been hidden inside the box ), and therefore is arguably not part of the implicit legal agreement accompanying the sale of the copy, and is thus not enforceable by either party without further " manifestation of assent " to its terms.

In that case the buyer can either abandon the intent of purchase completely, spend additional time ( an implicit economic cost ) in further search for the good, or purchase a substitute good.

" He showed that, in the case of memes, the intentional stance became increasingly implicit over time: as the idea of an " idea virus " was popularized further, the stance eventually dropped away entirely.

An example is the case of Kay v. Lambeth LBC, on which a panel of seven of their Lordships sat, and from whose opinions emerged a number of competing ratios, some made express by their Lordships and others implicit in the decision.

In consequence, the Swiss Federal Supreme Court's extensive case law developed an array of implicit or " unwritten " fundamental rights, drawing upon the case law of the European Court of Human Rights and applying the fundamental rights guaranteed in the European Convention on Human Rights ( ECHR ), which Switzerland ratified in 1974.

The paradox implicit in the whole affair is shown by the demand of the government, after the conviction, that General Electric sign a wide-open consent decree that it would not reduce prices so low as to compete seriously with its fellows.

It was seen by many in the West as a key piece in nuclear arms control, being an implicit recognition of the need to protect the nuclear balance by ensuring neither side could hope to reduce the effects of retaliation to acceptable levels.

The accumulator is not identified in the instruction by a register number ; it is implicit in the instruction and no other register can be specified in the instruction.

Whorf argued that paying attention to how other physical phenomena are described in the study of linguistics could make valuable contributions to science by pointing out the ways in which certain assumptions about reality are implicit in the structure of language itself, and how language guides the attention of speakers towards certain phenomena in the world which risk becoming overemphasized while leaving other phenomena at risk of being overlooked.

Bliss found especially useful their " triangle of reference ": the physical thing or " referent " that we perceive would be represented at the right angle ; the meaning that we know by experience ( our implicit definition of the thing ), at the top angle ; and the physical word that we speak or write, at the left angle.

This can be done by the means of definitions, which are implicit axioms.

Ironically, by today's standard, Gauss's own attempt is not acceptable, owing to implicit use of the Jordan curve theorem.

The application's semantics is usually not explicitly expressed in the model, but rather implicit ( and detailed by documentation external to the model ) and hinted to by data item types ' names ( e. g., " part-number ") and their connections ( as expressed by generic data structure types provided by each specific model ).

If the ellipse is given by the implicit equation, then the area is.

By a proper choice of coordinate system, the ellipse can be described by the canonical implicit equation

The modern formulation of proof by induction was not developed until the 17th century, but some later commentators consider it implicit in some of Euclid's proofs, e. g., the proof of the infinitude of primes.

The fabric of an " egalitarianist society " is thus held together by cooperation and implicit peer pressure rather than by explicit rules and punishment.

In the logical context, actions are typically specified by what they change, with the implicit assumption that everything else ( the frame ) remains unchanged.

Then there is the villain, who is the epitome of evil, either by his ( usually a man ) own fall from grace, or by some implicit malevolence.

In contrast to the chaotic political climate of 1946, the campaign of 1950 proceeded under the implicit understanding that only a strong candidate backed by both the army and the elite would be able to take power.

It was a populist / producerist epithet, carrying an implicit accusation that the people it described were insulated from all negative consequences of their programs purported to benefit the poor, and that the costs and consequences of such programs would be borne in the main by working class or lower middle class people who were not so poor as to be beneficiaries themselves.

And like other religious concepts, that of the Limbo of the Patriarchs is not spelled out in Scripture, but is seen by some as implicit in various references.

An implicit proof by mathematical induction for arithmetic sequences was introduced in the al-Fakhri written by al-Karaji around 1000 AD, who used it to prove the binomial theorem and properties of Pascal's triangle.

As Jacques Revel notes, the success of the Annales School, especially its use of social structures as explanatory forces contained the seeds of its own downfall, for there is " no longer any implicit consensus on which to base the unity of the social, identified with the real.

For example, psychologists use anagram-oriented tests, often called " anagram solution tasks ", to assess the implicit memory of young adults and adults alike.

because it does not explicitly make use of religious titles for Jesus, such as " Christ " and Domin-(" Lord "), which are used in the BC / AD notation, nor does it give implicit expression to the Christian creed that Jesus was the Christ.

In recent years many scholars have investigated the original ways in which writers use novel metaphors and question the fundamental frameworks of thinking implicit in conceptual metaphors.

The Apostles ' Creed makes no explicit statements about the divinity of the Son and the Holy Spirit, but, in the view of many who use it, the doctrine is implicit in it.

The converse term " politically incorrect " came into use as an implicit term of self-praise, indicating that the user was not afraid to ignore constraints associated with political correctness.

Both kinds of string use the backslash () as an escape character and there is no implicit string interpolation such as.

The original use of an adjective to describe a particular variant of an object is typically purely compositional, as in " acoustic guitar ", but gradually over time it becomes a collocation, a name or technical term in its own right with additional nuances, greater specificity and general but implicit agreement on it as the appropriate term versus alternative descriptions of the original type.

In a political move to provide some manner of response, Grant met as a civilian with the opposing party heads and, with his potential use of the armed forces an implicit threat, was able to facilitate a settlement.

While A is preferred by IUPAC, G is sometimes still in use, and the correct free energy function is often implicit in manuscripts and presentations.

It is based on the theory of deterrence according to which the deployment, and implicit menace of use, of strong weapons is essential to threaten the enemy in order to prevent the use by said-enemy of the same weapons against oneself.

For instance, an infinite geometric sum is implicit in Zeno's paradox of the dichotomy .< ref name =" Stillwell Infinite Series Early Results "> Later, Greek mathematicians such as Eudoxus and Archimedes made more explicit, but informal, use of the concepts of limits and convergence when they used the method of exhaustion to compute the area and volume of regions and solids.

is an implicit declaration that ISO 8859-1 become the new " standard encoding ", forcing everyone in the world to use the same character set.

In daily life, measurement uncertainty is often implicit (" He is 6 feet tall " give or take a few inches ), while for any serious use an explicit statement of the measurement uncertainty is necessary.

The use of wheels, whether linked by friction or gear teeth, to redirect motion or gain speed or torque, is typical ; many clockworks have been constructed primarily to serve as visible or implicit tours de force of mechanical ingenuity in this area.

Baumrind ( 1964 ), criticizing the use of deception in the Milgram ( 1963 ) obedience experiment, argues that deception experiments inappropriately take advantage of the implicit trust and obedience given by the subject when the subject volunteers to participate ( p. 421 ).

This sign convention is implicit in Clausius ' statement of the law given above, and is consistent with the use of thermodynamics to study heat engines which provide useful work, which is regarded as positive.

This was still a second-order axiomatization ( expressing induction in terms of arbitrary subsets, thus with an implicit use of set theory ) as concerns for expressing theories in first-order logic were not yet understood.

According to the article " Positive mood is associated with implicit use of distraction ", " There is also evidence that individuals in positive moods show disrupted performance, at least when distracting information is present ".

" Positive mood is associated with the implicit use of distraction ".

Languages that support list comprehensions or similar constructs may also make use of implicit iterators during the construction of the result list, as in Python:

# The use of ( often implicit ) resource dependencies.