Owing respectively to Green's theorem and the divergence theorem, such a field is necessarily conserved and free from sources or sinks, having net flux equal to zero through any open domain.

Owing to this intimate connection with the ibn Tibbons, Anatoli was introduced to the philosophy of Maimonides, the study of which was such a great revelation to him that he, in later days, referred to it as the beginning of his intelligent and true comprehension of the Scriptures, while he frequently alluded to Ibn Tibbon as one of the two masters who had instructed and inspired him.

Owing to wars and migrations, Mongols are also found in some Central Asian states such as Kazakhstan.

Owing to the shifting debate over time ( see " History and Controversy " below ), many school systems, such as California's, have made major changes in the method they have used to teach early reading.

Owing to this method, it is impossible for such a device to work in space due to lack of air, but Professor Rode states that there are practical applications for the device on Earth such as, for example, the transportation of microscopic hazardous materials and other microscopic objects.

Owing to the inaccuracy in this method of diagnosis, some bodies such as the European Resuscitation Council ( ERC ) have de-emphasised its importance.

Owing to the increasing price of alternative software such as Microsoft's Publisher, Serif PagePlus remains popular among voluntary and low-income organisations.

Owing to the MAB programme ’ s focus to improving mankind's relationship with nature, MAB has gradually been seen as UNESCO ’ s, and as one of the United Nations ’ s most important responses to international dialogues such as the 1992 United Nations Conference on Environment and Development ( UNCED ) and the Convention on Biological Diversity ( CBD ).

Owing to the geometric interpretation of the dot product, the norm || a || of a vector a in such an inner product space is defined as:

Owing to his reduced circumstances, his performances were often true solo efforts ( with minimal accompaniment on piano and guitar ); 1993's live Learning to Flinch documents such a tour.

Owing to the influence from calligraphy, such typefaces often slant slightly to the right.

Owing to this coupling, interdependent networks are extremely sensitive to random failure, and in particular to targeted attacks, such that a failure of a small fraction of nodes from one network can produce an iterative cascade of failures in several interdependent networks.

Owing to its unsymmetrical structure, it is a superior solvent for organic compounds that do not dissolve well in hydrocarbons such as hexane.

Owing to the early death of his mother, the child was left much to his own devices and developed a fondness for semi-poetical performances, organising his companions in heroic games, in which he himself took such parts as those of Peder Tordenskjold and Niels Juel.

Owing to such specific habitat requirements, it is quite rare in the northern states such as Minnesota.

Owing to its amorphous nature, the mineral often contains admixed impurities, such as iron hydroxides.

Owing to their cheap production, their perceived lack of value, and such hazards as war-time paper drives, the penny dreadfuls, particularly the earliest ones, are fairly rare today.

Owing to this far-flung reach and its presence in remote areas, the Indian postal service is also involved in other services such as small savings banking and financial services.

Owing to leadership changes such as this, some argue that it is a good example of a nonpartisan organization.

Owing to the lack of dues of the national group in this period, such a relationship was more theoretical than practical.

Owing to synergism between remifentanil and hypnotic drugs ( such as propofol ) the dose of the hypnotic can be substantially reduced.

Owing to its relatively slim height of 3. 60 mm, the 2892. A2 is a favorite of watch brands that market complicated movements such as Breitling with its trademark chronograph ( stop watches ).

Owing to chronic illness, he did not find a job or marry, but lived with his brother Adolf in Vienna.

Owing to a lack of confidence in the local currency, the US dollar is widely accepted as a medium of exchange alongside the Somali shilling.

Owing to its advantageous position it speedily acquired commercial importance, and the gold staters of Cyzicus were a staple currency in the ancient world till they were superseded by those of Philip of Macedon.

Owing to its geographical location the town was frequently embroiled in the border warfare and power play of the 12th and 13th centuries in the Welsh Marches.

Owing to the refusal of the chief officers of the corporation to take the oath of allegiance to William III in 1688, the charter was annulled, and the town subsequently declined in prosperity.

Owing to his marriage with a Bavarian princess and to his military command in the imperial service, his brother was allied more closely with the old church and resisted the new reforming efforts.

Owing to the small numbers of surviving specimens outcrossing was used in the breeding programme.

Owing to this and the desire to introduce a new model, 1969 was the last year of 912 production.

Owing to the introduction of the clad quarter in 1965, it was occasionally called a " Johnson Sandwich " after Lyndon B. Johnson, the U. S. President at the time.

Owing to public pressure, the British government was pushed towards declaring war with Spain in 1739.

Owing to Rococo love of shell-like curves and focus on decorative arts, some critics used the term to derogatively imply that the style was frivolous or merely modish.

Owing to the gigantic simultaneous efforts of Frege, Dedekind and Cantor, the infinite was set on a throne and revelled in its total triumph.

Owing to the terms of his election, he was derisively referred to by some as a " priest's king " ( Pfaffenkönig ).

Owing to the many confrontations that took place, one of their main tasks was to provide medical assistance, and even today the eight-pointed cross is still in wide use in ambulances and first aid organisations.

Owing to the prevalence of East Slavs and the Eastern Orthodox faith among the population in eastern and southern regions of the state, the Ruthenian language was a widely used colloquial language while Lithuanian was primarily used for administrative and diplomatic needs until the late 17th century, when it was eventually replaced by Polish.

Owing to disagreements over where the Union's capital should be, a compromise was reached in which every province would be dealt a share of the benefits of the capital: the administration would be seated in Pretoria ( Transvaal ), Parliament would be in Cape Town ( Cape Province ), the Appellate Division would be in Bloemfontein ( Orange Free State ), and Pietermaritzburg ( Natal ) was given financial compensation.

Owing to the fact that the great fleet envisioned in Plan Z existed only in blue-prints or had just began to be built, Raeder like Tirpitz before him in 1914 was forced to abandon his pre-war plans for a great naval battle in the North Sea, and instead embrace the guerre de course strategy that he had previously been opposed to.

Owing to the shortage of surface vessels, Raeder's strategy was very much a guerre de course strategy that he reluctantly followed because the U-boats were the only offensive weapons at his disposal.

Owing to a strict deadline, it was performed only days after it was completed.

Owing to his unrelenting opposition to the Johnson administration's Vietnam policy and what was widely perceived as his hostility to Secretary McNamara, LeMay was essentially forced into retirement in February 1965 and seemed headed for a political career.

The actual location of the historical kingdom was disputed Owing to the connection with the Queen of Sheba, the location has become closely linked with national prestige, as various royal houses have claimed descent from the Queen of Sheba and Solomon.