The Bernoulli numbers appear in the Taylor series expansions of the tangent and hyperbolic tangent functions, in formulas for the sum of powers of the first positive integers, in the Euler – Maclaurin formula, and in expressions for certain values of the Riemann zeta function.

He can also telepathically take away or control people's natural bodily functions and senses, such as sight, hearing, smell, taste, or even mutant powers.

" Enki thus takes on all of the functions of the Abzu, including his fertilising powers as lord of the waters and lord of semen.

In particular, the values of additive and multiplicative functions are determined by their values on the powers of prime numbers.

The Tsar regained his authority after the crisis of 1905, reclaimed his role as the Grand Duke of Finland and, during the second period of Russification between 1908 and 1917, neutralized the functions and powers of the new parliament.

There are, relatively speaking, no such simple solutions for factorials ; any combination of sums, products, powers, exponential functions, or logarithms with a fixed number of terms will not suffice to express n < nowiki >!</ nowiki >.

Sir Robert Garran noted as early as 1901 that the governor-general was distinguished from other Empire governors-general by the fact that " the principal and most important of his powers and functions, legislative as well as executive, are expressly conferred on him by the terms of the Constitution itself.

They are legislative and executive powers and functions conferred on the Governor-General, not by Royal authority, but by statutory authority ," a view held also by Andrew Inglis Clark, who assisted Sir Samuel Griffith with drafts of the constitution and later became Senior Judge of the Supreme Court of Tasmania.

He later opined that the governor-general's role was more than a representative of the sovereign, explaining: " under section 2 of the Constitution the Governor-General is the Queen's representative and exercises certain royal prerogative powers and functions ; under section 61 of the Constitution the Governor-General is the holder of a quite separate and independent office created, not by the Crown, but by the Constitution, and empowered to exercise, in his own right as Governor-General and not as a representative or delegate of the Queen, all the powers and functions of Australia's head of state.

The role of the head of state generally includes legitimizing the state and exercising the political powers, functions, and duties granted to the head of state in the country's constitution and laws.

" Within this general category, variants in terms of powers and functions may exist.

The older the constitution, the more constitutional leeway tends to exist for a head of state to exercise greater powers over government, as many older parliamentary system constitutions in fact give heads of state powers and functions akin to presidential or semi-presidential systems, in some cases without containing reference to modern democratic principles of accountability to parliament or even to modern governmental offices.

In five shire counties the functions of the county and district councils were combined into a single authority ; and in two counties the powers of the county council were absorbed into a significantly reduced number of districts.

She can also telepathically take away or control people's natural bodily functions and senses, such as sight, hearing, smell, taste, or even mutant powers.

In the Decree-Law establishes its mission, lists the functions and powers, leaving the executive in exercising its regulatory power to determine their administrative and operational.

It seems that the Greek deities began their career as powers of nature, but then they were given other functions and attributes by the worshippers.

In each of the republics ' constitutions, the president's powers, functions and duties, and their relation with French governments differed.

Their central focus was on logos or what we might broadly refer to as discourse, its functions and powers.

At the lowest level, most adult men have abilities as shamans and will carry out the same functions as those men who have a widespread reputation for their powers and knowledge.

The Governor General exercises basically ceremonial functions, but residual powers, under the constitution, can be used at the governor general's discretion.

The Governor-General exercises ceremonial functions, but reserve powers, under the constitution, can be used at the Governor General's discretion.

As it was traditionally a royal prerogative to walk beneath a canopy, Pope Alexander VI began using the umbraculum to symbolise the temporal powers of the Papacy ; it was formerly carried by a man standing behind the Pope, and features in the Coat of arms of the Camerlengo of the Holy Roman Church ( who administers the property of the Holy See sede vacante ) and the former arms of the Papal States.

During his two terms the Constitution was tested and found workable, strong national policies were inaugurated, and the traditions and powers of the Presidential office firmly fixed.

`` The argument that is cutting most ice is that Hearst is the only candidate who is fighting the trusts fearlessly and who would use all the powers of government to disrupt them if he were elected.

`` From time to time since the present war began there have been reports that one or more of the Axis powers were seriously contemplating use of poisonous gas or noxious gases or other inhumane devices of warfare.

But actually these accounts reveal the supernatural powers that the masters were in fact supposed to possess, as well as the extreme degree of popular credulity: `` Hwang Pah ( O Baku ), one day going up Mount Tien Tai which was believed to have been inhabited by Arhats with supernatural powers, met with a monk whose eyes emitted strange light.

Alchemy is an influential philosophical tradition whose early practitioners ' claims to profound powers were known from antiquity.

By comparing the form of several yupanas, researchers found that calculations were based using the Fibonacci sequence 1, 1, 2, 3, 5 and powers of 10, 20 and 40 as place values for the different fields in the instrument.

There were long debates on such issues as sovereignty, the exact powers to be given the confederate government, whether to have a judiciary, and voting procedures.

There were also some troubles in Dacia Inferior which required the granting of additional powers to the procurator governor and the dispatchment of additional soldiers to the province.

W. H. Roscher thinks that both nectar and ambrosia were kinds of honey, in which case their power of conferring immortality would be due to the supposed healing and cleansing powers of honey, and because fermented honey ( mead ) preceded wine as an entheogen in the Aegean world ; on some Minoan seals, goddesses were represented with bee faces ( compare Merope and Melissa ).

Johnson attempted to make the most of the opportunities the position offered, using it as a springboard to higher honors, as the Governor's powers in the state were limited to offering mere suggestions on legislation ( with no veto power ), and managing the Bank of Tennessee and the penitentiary.

In the 5th century version of the democracy, the ten annually elected generals were often very prominent, but for those who had power, it lay primarily in their frequent speeches and in the respect accorded them in the assembly, rather than their vested powers.

The powers of officials were precisely defined and their capacity for initiative limited.

Research results obtained during that period were not shared between the Axis and the Allied powers during the war.

Special powers were also given to the captain of the plane.

The powers to review administrative decisions are usually established by statute, but were originally developed from the royal prerogative writs of English law, such as the writ of mandamus and the writ of certiorari.

After the Indian Mutiny of 1857, in 1858 the powers of the Company were transferred to the British Crown and the Governor-General of India.

Under the Treaty of Hünkar Iskelesi of 1833, the Bosporus and Dardanelles straits were to be closed on Russian demand to naval vessels of other powers.

Knowing that the slightest suspicion by the Axis powers that their ciphers were being broken, could lead to such a change, the authorities at Bletchley Park were extremely concerned about security.

By the mid 1960s, binary addressing had become the standard architecture in most computer designs, and main memory sizes were most commonly powers of two.

The Liberal Party favoured social reform, personal liberty, reducing the powers of the Crown and the Church of England ( many of them were Nonconformists ) and an extension of the electoral franchise.

They favoured social reform, personal liberty, reducing the powers of the Crown and the Church of England ( many of them were Nonconformists ), avoidance of war and foreign alliances ( which were bad for business ), and above all free trade.