As a consequence of this approach, Descartes had to deal with more complicated equations and he had to develop the methods to work with polynomial equations of higher degree.

The surface of the water becomes slightly concave, with the consequence that the potential energy of the water at the greater radius is increased by the work done against gravity to achieve the greater height.

In the 19th century Jacob Burckhardt viewed Eusebius as ' a liar ', the “ first thoroughly dishonest historian of antiquity .” Ramsay MacMullen in the 20th century regarded Eusebius's work as representative of early Christian historical accounts in which “ Hostile writings and discarded views were not recopied or passed on, or they were actively suppressed ..., matters discreditable to the faith were to be consigned to silence .” As a consequence this kind of methodology in MacMullens view has distorted modern attempts, ( e. g. Harnack, Nock, and Brady ), to describe how the Church grew in the early centuries.

These sensational stories piqued public interest in a profession largely off-limits to human interest news reporting, a natural consequence of the secrecy inherent to their work.

The work of blacksmiths — developing implements and weapons — is hammered into shape, and, as a consequence, gradually departed from the stereotyped forms of their predecessors in bronze, which were cast, and the system of decoration, which in the Bronze Age consisted chiefly of a repetition of rectilinear patterns, gave way to a system of curvilinear and flowing designs.

One consequence of the Act is that solicitors, accountants, tax advisers and insolvency practitioners who suspect ( as a consequence of information received in the course of their work ) that their clients ( or others ) have engaged in tax evasion or other criminal conduct from which a benefit has been obtained, are now required to report their suspicions to the authorities ( since these entail suspicions of money laundering ).

As one consequence, workplace democracy has become both more common, and more advocated, in some places distributing all management functions among the workers, each of whom takes on a portion of the work.

In the Anglo-Saxon world, the term philology to describe work on languages and literatures, which had become synonymous with the practices of German scholars, was abandoned as a consequence of anti-German feeling following World War I.

The mouldboard plough greatly reduced the amount of time needed to prepare a field, and as a consequence, allowed a farmer to work a larger area of land.

While spacetime can be viewed as a consequence of Albert Einstein's 1905 theory of special relativity, it was first explicitly proposed mathematically by one of his teachers, the mathematician Hermann Minkowski, in a 1908 essay building on and extending Einstein's work.

In consequence, people could be thrown out of work involuntarily and not be able to find acceptable new employment.

Although Dirac did not at first fully appreciate what his own equation was telling him, his resolute faith in the logic of mathematics as a means to physical reasoning, his explanation of spin as a consequence of the union of quantum mechanics and relativity, and the eventual discovery of the positron, represents one of the great triumphs of theoretical physics, fully on a par with the work of Newton, Maxwell, and Einstein before him.

Schönfinkel's work had anticipated much of Curry's own research, and as a consequence, he moved to Göttingen where he could work with Heinrich Behmann and Paul Bernays, who were familiar with Schönfinkel's work.

A direct consequence of the closed path test is that the work done by a conservative force on a particle moving between any two points does not depend on the path taken by the particle.

As a consequence of the above, most Canadian medical students who wish to pursue an academic emergency medicine career, and / or work primarily in a major academic center, choose the FRCP route of certification.

As a consequence the work is dangerous, and the slightest mistake could be catastrophic.

Stein predominantly used the present progressive tense, creating a continuous present in her work, which Grahn argues is a consequence of the previous principles, especially commonality and centeredness.

In no case was any practical work of consequence available.

The first book of much consequence which he published was Die Einheit des Staats und der Kirche mit Rücksicht auf die Deutsche Reichsverfassung ( 1797 ), a work on the relations of church and state, with special reference to the constitution of the empire, which displayed the writer's power of analysis and his skill in making a complicated set of facts appear to be deductions from a few principles.

Some of these fingerprints were deposited unintentionally by the potters and masons as a natural consequence of their work, and others were made in the process of adding decoration.

For a dawning sense of illumination occurs in consequence of two events which, as so often in Malraux, suddenly confront a character with the existential question of the nature and value of human life.

The outer surface of an agate, freed from its matrix, is often pitted and rough, apparently in consequence of the removal of the original coating.

Deane and J. R. Thomson write this valid conclusion, “ The Book of Obadiah is occupied with one subject – the punishment of Edom for its cruel and unbrotherly love conduct towards Judah ...” One can link this idea of punishment to one of the major prophets “ Ezekiel ” who “... interprets the exile to Babylon and the destruction of Jerusalem as deserved punishments for the sins of those who themselves committed them .” Verses 3-7 in Obadiah explain to the reader the reason for the punishment theme, “ Confidence in one ’ s power, intelligence, allies, or the topographical features of one ’ s territory is often mentioned as an attribute of those who foolishly confront the Lord and are consequently punished .” Although destruction is vital to understanding Obadiah, it is of note to understand the destruction being a consequence of action.

The cratering rate in the inner solar system fluctuates as a consequence of collisions in the asteroid belt that create a family of fragments that are often sent cascading into the inner solar system.

Often, the criteria had moral bases, such as in the case of Pierre de La Primaudaye's L ' Académie française and Guillaume Telin's Bref sommaire des sept vertus & c .. Encyclopaedists encountered several problems with this approach, including how to decide what to omit as unnecessary, how to structure knowledge that resisted structure ( often simply as a consequence of the sheer amount of material that deserved inclusion ), and how to cope with the influx of newly discovered knowledge and the effects that it had on prior structures.

In addition to the relatively looser constraints on character and message at lower budgets, the nature of B production lent itself to the noir style for directly economic reasons: dim lighting not only saved on electrical costs but helped cloak cheap sets ( mist and smoke also served the cause ); night shooting was often compelled by hurried production schedules ; plots with obscure motivations and intriguingly elliptical transitions were sometimes the consequence of hastily written scripts, of which there was not always enough time or money to shoot every scene.

This decline ( in aerobic capacity ) is most likely a consequence of the sedentary lifestyle that is often associated with the symptoms of IBM ( i. e. progressive muscle weakness, decreased mobility, and increased level of fatigue ).

The long, relatively flat pass is often snow-covered during the winter season and as a consequence is generally closed from November 30 to May 1.

A key consequence of this is that fluids, when side-by-side, do not necessarily mix in the traditional sense ; molecular transport between them must often be through diffusion.

In consequence, the Montreal Protocol has often been called the most successful international environmental agreement to date.

Following Darwin's primary usage the term is often used to refer to both the evolutionary consequence of blind selection and to its mechanisms.

Amongst liquid-fueled rockets, complexity can be influenced by how much hardware must be lightweight, like pressure-fed engines can have two orders of magnitude lesser part count than pump-fed engines but lead to more weight by needing greater tank pressure, most often used in just small maneuvering thrusters as a consequence.

It landed on present day Riddarholmen where today the Tower of Birger Jarl stands, a building, as a consequence, still often erroneously mentioned as the oldest building in Stockholm.

Technology is often a consequence of science and engineering — although technology as a human activity precedes the two fields.

As a consequence of this asymmetric behaviour, the error of the second kind ( acquitting a person who committed the crime ),, is often rather large.

Some titanite has been found to be metamict, in consequence of structural damage due to radioactive decomposition of the often significant thorium content.

As a consequence, they are often raised as girls, but usually have a male gender identity.

The triangle inequality for the inner product is often shown as a consequence of the Cauchy – Schwarz inequality, as follows: given vectors x and y:

A possible consequence of violating stability boundaries is a disruption, a sudden loss of thermal energy often followed by termination of the discharge.

From this general law, it follows that there is an inverse relationship between the wavelength of the peak of the emission of a black body and its temperature when expressed as a function of wavelength, and this less powerful consequence is often also called Wien's displacement law in many textbooks.

Although most globular proteins are able to assume their native state unassisted, chaperone-assisted folding is often necessary in the crowded intracellular environment to prevent aggregation ; chaperones are also used to prevent misfolding and aggregation that may occur as a consequence of exposure to heat or other changes in the cellular environment.

As a consequence the result has often been misery for large segments of the local population and destruction of valuable ecosystems.

Another consequence of more academically-oriented authors was the large number of essay collections published in recent years ; these often provide an authors ' interpretations of other authors or reflections on other forms of art.

While the latter ruling was famously defied by Jackson, the actions of the Jackson administration were not isolated because state and federal officials had violated treaties without consequence, often attributed to military exigency, as the members of individual Native American nations were not automatically United States citizens and were rarely given standing in any U. S. court.