Most narrowly, one may consider numbers explicitly defined in terms of polynomials, exponentials, and logarithms – this does not include algebraic numbers, but does include some simple transcendental numbers such as e or log ( 2 ).

The Holy See accepts as valid the ordinations of the Old Catholics in communion with Utrecht, as well as the Polish National Catholic Church ( which received its orders directly from Utrecht, and was — until recently — part of that communion ); but Roman Catholicism does not recognise the orders of any group whose teaching is at variance with what they consider the core tenets of Christianity ; this is the case even though the clergy of the Independent Catholic groups may use the proper ordination ritual.

The obscure and extravagant imagery has led to a wide variety of interpretations: historicist interpretations see in Revelation a broad view of history ; preterist interpretations treat Revelation as mostly referring to the events of the apostolic era ( 1st century ), or -- at the latest -- the fall of the Roman Empire ; futurists believe that Revelation describes future events ; and idealist or symbolic interpretations consider that Revelation does not refer to actual people or events, but is an allegory of the spiritual path and the ongoing struggle between good and evil.

God responds saying that there are so many things Job does not know about how this world was formed or how nature works, that Job should consider God as being greater than the thunderstorm and strong enough to pull in the leviathan with a fish-hook.

William Safire considered this the coinage, but the Random House Dictionary of American Slang considers the usage " metaphorical or perhaps proverbial, rather than a concrete example of the later slang term ", and Popik likewise does not consider this the coinage.

Nearly everything a computer programmer does requires him or her to consider how to manage memory.

Unlike the system described above, the astronomical system does not consider years, it only counts days.

It made the same statement with regard also to later ordinations by those bishops, saying that, " as for those who have already thus unlawfully received ordination or any who may yet accept ordination from these, whatever may be the validity of the orders ( quidquid sit de ordinum validitate ), the Church does not and will not recognise their ordination ( ipsorum ordinationem ), and will consider them, for all legal effects, as still in the state in which they were before, except that the ... penalties remain until they repent " ( Sacred Congregation for the Doctrine of the Faith, Decree Episcopi qui alios of 17 September 1976-Acta Apostolicae Sedis 1976, page 623 ).

The Roman Catholic Church does not consider the validity of an ecumenical council's teaching to be in any way dependent on where it is held or on the granting or withholding of prior authorization or legal status by any state, in line with the attitude of the 5th-century bishops who " saw the definition of the church's faith and canons as supremely their affair, with or without the leave of the Emperor " and who " needed no one to remind them that Synodical process pre-dated the Christianisation of the royal court by several centuries ".

" The victor is not victorious if the vanquished does not consider himself so "

... the Church does not consider at all illicit the use of those therapeutic means necessary to cure bodily diseases, even if a foreseeable impediment to procreation should result therefrom — provided such impediment is not directly intended.

Most societies consider it a serious crime to force someone to engage in sexual acts or to engage in sexual activity with someone who does not consent.

The Ricardian model does not directly consider factor endowments, such as the relative amounts of labor and capital within a country.

Information theory, however, does not consider message importance or meaning, as these are matters of the quality of data rather than the quantity and readability of data, the latter of which is determined solely by probabilities.

Those who consider performance as an integral part of faith such as, consider anyone who does a grave sin to be out of faith, while the majority of Sunnis who view works as merely the perfecting the faith, hold that a believing sinner will be punished with a temporary stay in hell.

This can diverge from the Utilitarian goal of maximising utility because it does not consider the distribution of goods between people.

Philosophers using the term metaphilosophy being still a minority, it might be surmised that the majority does not consider the idea worth exploring.

She also is what I consider a classic Indian beauty .... her natural, distinctive Indian looks set her apart from many other heroines ( I say heroines because many have yet to learn to act, and cannot justfully be called actresses yet ), she proves that she does not need blatant blond / red highlights, tons of body paint and makeup, blue contacts, and scraps of clothes to look beautiful ... and that the complete following of Western trends isn ´ t worth sacrificing traditional Indian beauty, grace, and respect for popularity ... a mixture of both that remains respectable ... it ´ s quality rather than quantity ( or lackthereof, in the clothes department ).

The KNMI does not consider data from stations operated by others, however.

If there is a precedent set by an inferior court, a judge does not have to follow it, but may consider it.

Deckard seldom works in and does not consider himself to be either a peace officer or a full-time bounty hunter, the entire Northern California area is the territory of the district's senior bounty hunter Dave Holden, but accepts the left-over cases that Holden either does not want or have time to pursue.

" Surface active substances " ( or " surfactants ") can increase the kinetic stability of emulsions so that the emulsion does not change significantly with time.

Some processes involving neutrons are notable for absorbing or finally yielding energy — for example neutron kinetic energy does not yield heat immediately if the neutron is captured by a uranium-238 atom to breed plutonium-239, but this energy is emitted if the plutonium-239 is later fissioned.

Contrary to a widespread misconception, the shaped charge does not depend in any way on heating or melting for its effectiveness, that is, the jet from a shaped charge does not melt its way through armor, as its effect is purely kinetic in nature.

A kinetic energy penetrator ( also known as a KE weapon ) is a type of ammunition which, like a bullet, does not contain explosives and uses kinetic energy to penetrate the target.

Solubility does not also depend on particle size or other kinetic factors ; given enough time, even large particles will eventually dissolve.

A projectile which does not contain an explosive charge or any other kind of charge is termed a kinetic projectile, kinetic energy weapon, kinetic energy warhead, kinetic warhead or kinetic penetrator.

The reason that rest masses cannot be simply added is that this does not take into account other forms of energy, such as kinetic and potential energy, and massless particles such as photons, all of which may ( or may not ) affect the mass of systems.

Although energy must be conserved, this does not mean that the kinetic energy of the bullet must be equal to the recoil energy of the gun: in fact, it is many times greater.

Due to the conservation of momentum the latter does not change with time, so changes with time of the total kinetic energy do not depend on the inertial frame of reference.

Because of this cooperativity, the kinetic interaction of glucokinase with glucose does not follow classical Michaelis-Menten kinetics.

In physics, a kinetic term is the part of the Lagrangian that is bilinear in the fields ( this does not include the mass term!

Šilahvý ( 1997 ) notes that Carathéodory's approach does not work for the description of irreversible processes that involve both heat conduction and conversion of kinetic energy into internal energy by viscosity ( which is another prime example of irreversibility ), because " the mechanical power and the rate of heating are not expressible as differential forms in the ' external parameters '".

Planetarian, in contrast to Key's past games, is a linear visual novel that does not require the user to make choices during gameplay ; this is what is referred to as a kinetic novel.

Unlike in the hydrides mentioned above, the hydrogen does not dissociate / recombine upon charging / discharging the storage system, and hence does not suffer from the kinetic limitations of many hydride storage systems.

This drawing seemingly violates the Principle of Conservation of Total Energy of physics due to the fact that the water gains kinetic energy, but does not lose any gravitational energy.

The bolt eventually reaches a velocity of zero and the kinetic energy from the recoil impulse is now stored in the fully compressed spring ( some energy loss does occur due to friction and the extraction and ejection sequences ).

SFW disables targets using the kinetic energy of the penetrator ; it does not explode.

Conversely, most heat-treatable alloys are precipitation hardening alloys, which produce the opposite effects that steel does.

In air, compressibility effects are usually ignored when the Mach number in the flow does not exceed 0. 3 ( about 335 feet ( 102m ) per second or 228 miles ( 366 km ) per hour at 60 ° F ).

In general, tolerance to the amnesic effects does not occur.

Specific weaknesses in the text include: it does not stipulate guidelines for the ' non-detriment ' finding required of national Scientific Authorities ; non-detriment findings require copious amounts of information ; the ' household effects ' clause is often not rigid enough / specific enough to prevent CITES violations by means of this Article ( VII ); non-reporting from Parties means Secretariat monitoring is incomplete ; and it has no capacity to address domestic trade in listed species.

Second-and third-trimester exposure does not usually increase the teratogenic risk and adverse effects on cognitive development, but it may increase the risk of various complications of pregnancy and fetal myelosuppression.

In other words, to the outside world a committed transaction appears ( by its effects on the database ) to be indivisible, atomic, and an aborted transaction does not leave effects on the database at all, as if never existed.

In other words, to the outside world a committed transaction appears ( by its effects on the database ) to be indivisible, atomic, and an aborted transaction does not leave effects on the database at all, as if never existed.

Blending is most easily done with a medium that does not immediately fix itself, such as graphite, chalk, or charcoal, although freshly applied ink can be smudged, wet or dry, for some effects.

Duke Nukem 3D ( iPhone / iPod Touch ) includes the primary 3 episodes and all of the main sound effects, but does not include background music in-game.

Node-based compositing packages often handle keyframing and time effects poorly, as their workflow does not stem directly from a timeline, as do layer-based compositing packages.

Despite this opinion among researchers, evidence has accumulated that supports the existence of complex biological effects of weaker non-thermal electromagnetic fields, ( including weak ELF magnetic fields, although the latter does not strictly qualify as EM radiation < ref >), and modulated RF and microwave fields.

Early clinical trials typically enroll a very small number of patients, and the purpose is to identify major safety issues and the maximum tolerated dose, which is the highest dose that does not produce serious or fatal adverse effects.

Comparisons between hypnotised and non-hypnotised subjects suggest that if a " hypnotic trance " does exist it only accounts for a small proportion of the effects attributed to hypnotic suggestion, most of which can be replicated without hypnotic induction.

Jewish law includes several considerations whose effects are similar to those of modern intellectual property laws, though the notion of intellectual creations as property does not seem to exist – notably the principle of Hasagat Ge ' vul ( unfair encroachment ) was used to justify limited-term publisher ( but not author ) copyright in the 16th century.

Research by Leslie Margolin indicates that mother-son incest does not trigger some innate biological response, but that the effects are more directly related to the symbolic meanings attributed to this act by the participants.

Though ink does not easily cause death, inappropriate contact can cause effects such as severe headaches, skin irritation, or nervous system damage.

These adjustments can have important effects on the consumer, but are not easily quantifiable ; people like what they like and everyone does not like the same thing.

Evidence in this direction includes the effects of the co-administration of a dopamine antagonist, which is known to decrease the stimulant effect of amphetamine, but does not entirely negate the wakefulness-promoting actions of modafinil.

Because any serious side effects will usually appear within the first twelve weeks, the guidance does not require patients already receiving treatment to stop taking the drug.

Nicotinic acid, also known as niacin, is converted to nicotinamide in vivo, and, though the two are identical in their vitamin functions, nicotinamide does not have the same pharmacologic and toxic effects of niacin, which occur incidental to niacin's conversion.

Neutrino radiation is ordinarily not classed as ionizing radiation, because it is almost entirely not absorbed and therefore does not produce effects.