The axiom of choice produces these intangibles ( objects that are proven to exist, but which cannot be explicitly constructed ), which may conflict with some philosophical principles.

Such rates cannot be sustained, but despite reaching 26. 4 % in 2005 ( second highest GDP growth in the world in 2005 only to Equatorial Guinea ), and 2006 over 34. 6 % ( world highest ), in 2008 dropped to 10. 8 %, and dropped further to 9. 3 % in 2009.

* Arminianism is Pelagian ( or Semi-Pelagian ), denying original sin and total depravity – No system of Arminianism founded on Arminius or Wesley denies original sin or total depravity ; both Arminius and Wesley strongly affirmed that man's basic condition is one in which he cannot be righteous, understand God, or seek God.

While modern Ainu have predominantly tested as being mongoloid ( due to heavy race mixing ), The race to which the Ainu belonged cannot be determined until ancient remains are tested.

Besides them, many smaller systems exist ( tactical ABMs ), that generally cannot intercept intercontinental strategic missiles, even if within range — an incoming ICBM simply moves too fast for these systems.

Since the implementation of the Statute of Westminster 1931 in each of the Commonwealth realms ( on successive dates from 1931 onwards ), the Act of Settlement cannot be altered in any realm except by that realm's own parliament and, by convention, only with the consent of all the other realms, as it touches on the succession to the shared throne.

In particular, we cannot in general claim that " P or not P " is true ( the law of Excluded Middle ), since in some cases we may not be able to prove the statement " P " nor prove the statement " not P ".

The Porvoo Common Statement ( 1996 ), agreed to by the Anglican churches of the British Isles and most of the Lutheran churches of Scandinavia and the Baltic, also stated that " the continuity signified in the consecration of a bishop to episcopal ministry cannot be divorced from the continuity of life and witness of the diocese to which he is called.

In the case of parallelization, Amdahl's law states that if P is the proportion of a program that can be made parallel ( i. e., benefit from parallelization ), and ( 1 − P ) is the proportion that cannot be parallelized ( remains serial ), then the maximum speedup that can be achieved by using N processors is

However, shortly after this positive result, Kurt Gödel published On Formally Undecidable Propositions of Principia Mathematica and Related Systems ( 1931 ), showing that in any sufficiently strong axiomatic system there are true statements which cannot be proved in the system.

However, invalid formulas ( those that are not entailed by a given theory ), cannot always be recognized.

If the assets used are not identical ( so a price divergence makes the trade temporarily lose money ), or the margin treatment is not identical, and the trader is accordingly required to post margin ( faces a margin call ), the trader may run out of capital ( if they run out of cash and cannot borrow more ) and go bankrupt even though the trades may be expected to ultimately make money.

Also, a pair of coprime amicable numbers cannot be generated by Thabit's formula ( above ), nor by any similar formula.

The inability to comprehend any aspect of the thing other than its properties implies, this argument maintains, that one cannot conceive of a bare particular ( a substance without properties ), an implication that directly opposes substance theory.

This does not require oxygen ; if no oxygen is available ( or the cell cannot use oxygen ), the NAD is restored by converting the pyruvate to lactate ( lactic acid ) ( e. g., in humans ) or to ethanol plus carbon dioxide ( e. g., in yeast ).

But this destruction, coupled with a protracted siege of Rain ( 9 – 16 July ), caused Prince Eugene to lament "... since the Donauwörth action I cannot admire their performances ", and later to conclude " If he has to go home without having achieved his objective, he will certainly be ruined.

* Some curves that seem simple, such as the circle, cannot be described exactly by a Bézier or piecewise Bézier curve ; though a four-piece cubic Bézier curve can approximate a circle ( see Bézier spline ), with a maximum radial error of less than one part in a thousand, when each inner control point ( or offline point ) is the distance horizontally or vertically from an outer control point on a unit circle.

* The curve at a fixed offset from a given Bézier curve, often called an offset curve ( lying " parallel " to the original curve, like the offset between rails in a railroad track ), cannot be exactly formed by a Bézier curve ( except in some trivial cases ).

This is a paradox: there must be an integer defined by this expression, but since the expression is self-contradictory ( any integer it defines is definable in under eleven words ), there cannot be any integer defined by it.

In contrast, in non-common-law countries, and jurisdictions with very weak respect for precedent ( example, the U. S. Patent Office ), fine questions of law are redetermined anew each time they arise, making consistency and prediction more difficult, and procedures far more protracted than necessary because parties cannot rely on written statements of law as reliable guides.

Many examples are familiar in everyday speech even today, " One cannot be a judge in one's own cause " ( see Dr. Bonham's Case ), rights are reciprocal to obligations, and the like.

The security of an algorithm cannot exceed its key length ( since any algorithm can be cracked by brute force ), but it can be smaller.

Although there are seven other types of annual awards presented by the Academy ( the Irving G. Thalberg Memorial Award, the Jean Hersholt Humanitarian Award, the Gordon E. Sawyer Award, the Scientific and Engineering Award, the Technical Achievement Award, the John A. Bonner Medal of Commendation, and the Student Academy Award ) plus two awards that are not presented annually ( the Special Achievement Award in the form of an Oscar statuette and the Honorary Award that may or may not be in the form of an Oscar statuette ), the best known one is the Academy Award of Merit more popularly known as the Oscar statuette.

The latter is not to be confused with TA ( NPL ), which denotes an independent atomic time scale, not synchronised to TAI or to anything else.

The instant that the gravitational correction started to be applied serves as the epoch for Barycentric Coordinate Time ( TCB ), Geocentric Coordinate Time ( TCG ), and Terrestrial Time ( TT ).

Altruism is a motivation to provide something of value to a party who must be anyone but oneself, while duty focuses on a moral obligation towards a specific individual ( e. g., a god, a king ), or collective ( e. g., a government ).

A decade and a half later, the Polish anthropology student, Bronisław Malinowski ( 1884 – 1942 ), was beginning what he expected to be a brief period of fieldwork in the old model, collecting lists of cultural items, when the outbreak of the First World War stranded him in New Guinea.

Most commentators consider Marcel Mauss ( 1872 – 1950 ), nephew of the influential sociologist Émile Durkheim, to be the founder of the French anthropological tradition.

Like other scholars of his day ( such as Edward Tylor ), Morgan argued that human societies could be classified into categories of cultural evolution on a scale of progression that ranged from savagery, to barbarism, to civilization.

The committee debated the possibility of a shift key function ( like the Baudot code ), which would allow more than 64 codes to be represented by six bits.

The X3 committee also addressed how ASCII should be transmitted ( least significant bit first ), and how it should be recorded on perforated tape.

Hesychius connects the name Apollo with the Doric απέλλα ( apella ), which means " assembly ", so that Apollo would be the god of political life, and he also gives the explanation σηκός ( sekos ), " fold ", in which case Apollo would be the god of flocks and herds.

The artists tried also to represent motion in a specific moment ( Myron ), which may be considered as the reappearance of the dormant Minoan element.

In the wood frog ( Rana sylvatica ), the interior of the globular egg cluster has been found to be up to 6 ° C ( 11 ° F ) warmer than its surroundings which is an advantage in its cool northern habitat.

), believed to be extinct, swallows her eggs and rears the larvae in her stomach.

A number of causes are believed to be involved, including habitat destruction and modification, over-exploitation, pollution, introduced species, climate change, endocrine-disrupting pollutants, destruction of the ozone layer ( ultraviolet radiation has shown to be especially damaging to the skin, eyes, and eggs of amphibians ), and diseases like chytridiomycosis.

The appellant in the new case can be either the plaintiff ( or claimant ), defendant, third-party intervenor, or respondent ( appellee ) from the lower case, depending on who was the losing party.

The appellate court will typically be deferential to the lower court's findings of fact ( such as whether a defendant committed a particular act ), unless clearly erroneous, and so will focus on the court's application of the law to those facts ( such as whether the act found by the court to have occurred fits a legal definition at issue ).

An example would be the systems being put in place for senior people such as fall detectors, thermometers ( for hypothermia risk ), flooding and unlit gas sensors ( for people with mild dementia ).

In the modern IUPAC nomenclature, the alkali metals comprise the group 1 elements, excluding hydrogen ( H ), which is nominally a group 1 element but not normally considered to be an alkali metal as it rarely exhibits behaviour comparable to that of the alkali metals.

Experiments have been conducted to attempt the synthesis of ununennium ( Uue ), which is likely to be the next member of the group, but they have all met with failure .< ref name =" link "> However, ununennium may not be an alkali metal due to relativistic effects, which are predicted to have a large influence on the chemical properties of superheavy elements.