Botulinal toxin, for example, is several thousand-fold more toxic by this route than when given per os.

Since the mid-1890s Schweitzer had formed the inner resolve that it was needful for him as a Christian to repay to the world something for the happiness which it had given to him, and he determined that he would pursue his younger interests until the age of thirty and then give himself to serving humanity, with Jesus serving as his example.

For example, one can say for a given transition that it corresponds to the excitation of an electron from an occupied orbital to a given unoccupied orbital.

He continues his challenge, arguing that there is no reason to believe it is God who gives authority to moral laws – it could be given by the consent of humanity, for example.

For example, given two image elements A and B, the most common compositing operation is to combine the images such that A appears in the foreground and B appears in the background.

In the given example the array can contain 10 elements of any value available to the type.

* An example of a non-unitary associative algebra is given by the set of all functions f: R → R whose limit as x nears infinity is zero.

St. Bonaventure ’ s “ Retracing the Arts to Theology ”, a primary example of this method, discusses the skills of the artisan as gifts given by God for the purpose of disclosing God to mankind, which purpose is achieved through four lights: the light of skill in mechanical arts which discloses the world of artifacts ; which light is guided by the light of sense perception which discloses the world of natural forms ; which light, consequently, is guided by the light of philosophy which discloses the world of intellectual truth ; finally, this light is guided by the light of divine wisdom which discloses the world of saving truth.

Whilst heavier armour provides better protection, it makes vehicles less mobile ( for a given engine power ), limits its air-transportability, increases cost, uses more fuel and may limit the places it can go-for example, many bridges may be unable to support the weight of a main battle tank.

For example, if for a given problem size a parallelized implementation of an algorithm can run 12 % of the algorithm's operations arbitrarily quickly ( while the remaining 88 % of the operations are not parallelizable ), Amdahl's law states that the maximum speedup of the parallelized version is times as fast as the non-parallelized implementation.

For example, some see the World Bank and the IMF as corrupt bureaucracies which have given repeated loans to dictators who never do any reforms.

For example, an audio amplifier with a gain given as 20 dB will have a voltage gain of ten ( but a power gain of 100 would only occur in the event the input and output impedances were identical ).

Some Anglican suffragans are given the responsibility for a geographical area within the diocese ( for example, the Bishop of Stepney is an area bishop within the Diocese of London ).

In the Ecumenical Patriarchate, bishops of modern dioceses are often given a titular see alongside their modern one ( for example, the Archbishop of Thyateira and Great Britain ).

The Catholic Church does recognise as valid ( though illicit ) ordinations done by breakaway Catholic, Old Catholic or Oriental bishops, and groups descended from them ; it also regards as both valid and licit those ordinations done by bishops of the Eastern churches, so long as those receiving the ordination conform to other canonical requirements ( for example, is an adult male ) and an orthodox rite of episcopal ordination, expressing the proper functions and sacramental status of a bishop, is used ; this has given rise to the phenomenon of episcopi vagantes ( for example, clergy of the Independent Catholic groups which claim apostolic succession, though this claim is rejected by both Orthodoxy and Catholicism ).

) In this way, for example, one can compute Bessel functions of higher orders ( or higher derivatives ) given the values at lower orders ( or lower derivatives ).

Although some of Chaplin's critics have claimed that credit for his film music should be given to the composers who worked with him, for example Raksin, who worked with Chaplin on Modern Times, has stressed Chaplin's creative position and active participation in the composing process.

For example given three fruit, say an apple, orange and pear, there are three combinations of two that can be drawn from this set: an apple and a pear ; an apple and an orange ; or a pear and an orange.

For example, it can rely on the user's settings, either browser-wide or specific for a given document, or it can pick a default encoding based on the user's language.

An example of the agnostic view is given by Carl Friedrich von Weizsäcker, who, while participating in a colloquium at Cambridge, denied that the Copenhagen interpretation asserted: " What cannot be observed does not exist.

Systems deriving from blood feuds may survive alongside more advanced legal systems or be given recognition by courts ( for example, trial by combat ).

Not every countably compact space is compact ; an example is given by the first uncountable ordinal with the order topology.

There is a wide variety of representations possible and one can express a given Turing machine program as a sequence of machine tables ( see more at finite state machine, state transition table and control table ), as flowcharts ( see more at state diagram ), or as a form of rudimentary machine code or assembly code called " sets of quadruples " ( see more at Turing machine ).

Equivalently, given any sequence of elements of P

A character encoding system consists of a code that pairs each character from a given repertoire with something else — such as a bit pattern, sequence of natural numbers, octets, or electrical pulses — in order to facilitate the transmission of data ( generally numbers or text ) through telecommunication networks or for data storage.

It is also crucial that the interval be bounded, since in the interval one could choose the sequence of points, of which no sub-sequence ultimately gets arbitrarily close to any given real number.

More precisely, given any small positive distance, all but a finite number of elements of the sequence are less than that given distance from each other.

On 31 May 2010, the Coronation Street opening sequence was given a revamp.

In many collation algorithms, the comparison is based not on the numerical codes of the characters, but with reference to the collating sequence – a sequence in which the characters are assumed to come for the purpose of collation – as well as other ordering rules appropriate to the given application.

This can be adapted to use the appropriate collation sequence for a given language by tailoring its default collation table.

Then, for any given sequence of integers a < sub > 1 </ sub >, a < sub > 2 </ sub >, …, a < sub > k </ sub >, there exists an integer x solving the following system of simultaneous congruences.

The sequence defined by x < sub > n </ sub > = is Cauchy, but does not have a limit in the given space.

However the closed interval is complete ; the given sequence does have a limit in this interval and the limit is zero.

Another example is given by the irrational numbers, which are not complete as a subspace of the real numbers but are homeomorphic to N < sup > N </ sup > ( see the sequence example in Examples above ).

There is a close connection between machine learning and compression: a system that predicts the posterior probabilities of a sequence given its entire history can be used for optimal data compression ( by using arithmetic coding on the output distribution ), while an optimal compressor can be used for prediction ( by finding the symbol that compresses best, given the previous history ).

Every sequence can, thus, be read in three reading frames, each of which will produce a different amino acid sequence ( in the given example, Gly-Lys-Pro, Gly-Asn, or Glu-Thr, respectively ).

A slightly more extensive description of galaxy types based on their appearance is given by the Hubble sequence.

* Homology ( mathematics ), a procedure to associate a sequence of abelian groups or modules with a given mathematical object

The sequence of terms then began with Bodhisattvayāna, which was given the epithet Mahāyāna (" Great Vehicle ").

The integer sequence of the number of idempotent functions as given by the sum above for n = 0, 1, 2, ... starts with 1, 1, 3, 10, 41, 196, 1057, 6322, 41393, ...

An iterative method is called convergent if the corresponding sequence converges for given initial approximations.

In mathematics, given an infinite sequence of numbers