In many cases such a selection can be made without invoking the axiom of choice ; this is in particular the case if the number of bins is finite, or if a selection rule is available: a distinguishing property that happens to hold for exactly one object in each bin.

In particular, the term refers to a strict monophysite sect that separated itself, in the end of the 5th century, from the rule of Peter Mongus, Patriarch of Alexandria, and remained " without king or bishop " until they were reconciled by Mark II ( 799-819 ).

Usually includes a felony violation of a criminal rule or act against law, in particular at the expense of people or moral.

The interaction between the two main factions is largely complementary with each faction possessing a particular expertise and both committed to the continued rule of the Communist Party and not allowing intra-party factional politics to threaten party unity.

Such gods, while keeping the original features of celestial divinities, i. e. transcendent heavenly power and abstention from direct rule in worldly matters, did not share the fate of other celestial gods in Indoeuropean religions-that of becoming dei otiosi or gods without practical purpose, since they did retain a particular sort of influence over the world and mankind.

Consequentialism refers to moral theories that hold that the consequences of a particular action form the basis for any valid moral judgment about that action ( or create a structure for judgment, see rule consequentialism ).

The theology of the period described in particular detail Amun's presence in and rule over all things, so that he, more than any other deity, embodied the all-encompassing power of the divine.

The rule does not make any statement about whether any particular reference or comparison to Adolf Hitler or the Nazis might be appropriate, but only asserts that the likelihood of such a reference or comparison arising increases as the discussion progresses, irrespective of whether it is appropriate or not.

Depending on the particular formalism adopted for the calculus, it may be seen as a simple application of a " functional substitution " rule of inference, as in Gödel's paper, or it may be proved by considering the formal proof of, replacing in it all occurrences of Q by some other formula with the same free variables, and noting that all logical axioms in the formal proof remain logical axioms after the substitution, and all rules of inference still apply in the same way.

African culture thus remained strong among slaves to the end of French rule, in particular the folk-religion of Vodou, which commingled Catholic liturgy and ritual with the beliefs and practices of Guinea, Congo, and Dahomey.

A regional party may gain a majority and rule a particular state.

If a particular rule A is considered inviolable, some force akin to static friction is regarded as maintaining the status quo, preventing movement in the direction of abrogating A.

* Matching Rule Uses — Indicate which attribute types may be used in conjunction with a particular matching rule.

Rather than have a single solution to the maze, Bright's routing often offered multiple equally valid routes from start to finish, with no loss of complexity or diminishment of solver difficulties because the result was that it became difficult for a solver to definitively " rule out " a particular pathway as unproductive.

Focus on apartheid white minority rule in South Africa brought tensions between East and West, the Soviet Union officially supported the overthrow of apartheid while the West and the US in particular maintained official neutrality on the matter.

Neural network models in artificial intelligence are usually referred to as artificial neural networks ( ANNs ); these are essentially simple mathematical models defining a function or a distribution over or both and, but sometimes models are also intimately associated with a particular learning algorithm or learning rule.

The theorist Benedict Anderson argues that nations are " imagined communities " ( the members cannot possibly know each other ), and that the main causes of nationalism and the creation of an imagined community are the reduction of privileged access to particular script languages ( such as Latin ), the movement to abolish the ideas of divine rule and monarchy, as well as the emergence of the printing press under a system of capitalism ( or, as Anderson calls it, print-capitalism ).

Black's Law Dictionary defines " precedent " as a " rule of law established for the first time by a court for a particular type of case and thereafter referred to in deciding similar cases.

Indeed, he argues that any course of action can be made out to accord with some particular rule, and that therefore a rule cannot be used to explain an action.

Rather, that one is following a rule or not is to be decided by looking to see if the actions conform to the expectations in the particular form of life in which one is involved.

The rule is that “ n actor ’ s liability is limited to those physical harms that result from the risks that made the actor ’ s conduct tortious .” Thus, the operative question is " what were the particular risks that made an actor's conduct negligent?

Philosophers such as Condorcet, who drafted the French revolutionary chart for a people's education under the rule of reason, dismissed rhetoric as an instrument of oppression in the hands of clerics in particular.

The legal rule is that unless a statute specifically prescribes a particular method of making a signature it may be made in any number of ways.

Miniature wargamers generally prefer rule sets that can be used for any battle in a particular era or war, instead of a specific event, as is common in board wargames.

He had known women like that, one woman in particular.

With due consideration for the limits of precision in assessing, expected rate of change in ossification of girls age 2 years, and the known variations in rate of ossification of these children as described in our preceding paper in the Supplement, each arrow with a `` shaft length '' of four months or less was selected as indicating `` same schedule '' at Onset and Completion, for this particular epiphysis.

However, if the excited atom has been previously ionized, in particular if one of its inner shell electrons has been removed, a phenomenon known as the Auger effect may take place where the quantity of energy is transferred to one of the bound electrons causing it to go into the continuum.

Atle Selberg ( 14 June 1917 – 6 August 2007 ) was a Norwegian mathematician known for his work in analytic number theory, and in the theory of automorphic forms, in particular bringing them into relation with spectral theory.

This particular effect is known as annual aberration or stellar aberration, because it causes the apparent position of a star to vary periodically over the course of a year.

Each individual test, known as a case, exercises a particular operating condition of the user's environment or feature of the system, and will result in a pass or fail, or boolean, outcome.

The black letter law refers to the basic standard elements for a particular field of law, which are generally known and free from doubt or dispute.

This particular trait is shared with another breed of cattle known as Piedmontese.

In particular, the original Convention did not prohibit waste exports to any location except Antarctica but merely required a notification and consent system known as " prior informed consent " or PIC.

In particular, Alexey Arkhipovsky is well known for his solo performances.

Once the keys had been pressed they were locked down until mechanical contacts in a distributor unit passed over the sector connected to that particular keyboard, when the keyboard was unlocked ready for the next character to be entered, with an audible click ( known as the " cadence signal ") to warn the operator.

He was known in particular for his technical innovations, including his trademark rectangular guitar.

The candela ( or ; symbol: cd ) is the SI base unit of luminous intensity ; that is, power emitted by a light source in a particular direction, weighted by the luminosity function ( a standardized model of the sensitivity of the human eye to different wavelengths, also known as the luminous efficiency function ).

In particular, an attempt by the Legislative Assembly to approve a law that opened up the electricity and telecommunication markets ( controlled by a monopoly of the Costa Rican Institute of Electricity-ICE ) to market competition, known as the " Combo " law, was met with strong social opposition.

Even if the technology to map out every neuron in the brain in real-time were available, and it were known when each neuron was firing, it would still be impossible to know how a particular firing of neurons translates into the observed behavior.

It means that a particular approximation is rigorously defined on first principles ( quantum theory ) and then solved within an error margin that is qualitatively known beforehand.

In particular, the reforms eliminated the office of the Promoter of the Faith ( Latin: promotor fidei ), popularly known as the Devil's advocate, who was required to present a case against canonization.

In addition, the preferences of the agent ( the particular rewards that they value ) also cause the beliefs formed to change-this explains the Biased Assimilation ( also known as Confirmation Bias ) shown above.

It is unclear whether declarative memory is mediated by a particular “ memory system ” or if it is more accurately classified as a “ type of knowledge ” and it is not known how or why declarative memory evolved to begin with.

These sonatas frequently employ a particular kind of arpeggiated accompaniment in the left hand that is now known as the Alberti bass.

In particular, his treatment of the Biblical gospels which he titled The Life and Morals of Jesus of Nazareth, but which subsequently became more commonly known as the Jefferson Bible, exhibits a strong deist tendency of stripping away all supernatural and dogmatic references from the Christ story.

Therefore, equatorial coordinates ( including declination ) are inherently relative to the year of their observation, and astronomers specify them with reference to a particular year, known as an epoch.

A dandy ( also known as a beau or gallant ) is a man who places particular importance upon physical appearance, refined language, and leisurely hobbies, pursued with the appearance of nonchalance in a cult of Self.

Some countries have more particular naming for their missions and staff: a Vatican mission is headed by a nuncio ( Latin " envoy ") and consequently known as an apostolic nunciature.

This process is initiated at particular points in the DNA, known as " origins ", which are targeted by proteins that separate the two strands and initiate DNA synthesis.