Firstly, any given vertex will be the middle of either 0 × 5 = 0 ( all edges from the vertex are the same color ), 1 × 4 = 4 ( four are the same color, one is the other color ), or 2 × 3 = 6 ( three are the same color, two are the other color ) such triples.

Firstly, he imparts to us at the beginning of Chapter 2 that he is a journalist.

Firstly, if x < sub > 1 </ sub >, x < sub > 2 </ sub >, …, x < sub > n </ sub > ∈ A, then it follows by mathematical induction that

Firstly, when the concentration of CaO is low, Cl < sub > 2 </ sub > evolution at the anode becomes more favourable.

Firstly,, 2 rods and 25 poles were allotted " unto the Churchwardens and Overseers of the poor " of Berrick Salome " to be held by them and their successors in trust as a place for exercise and recreation for the inhabitants ".

Firstly, failure may occur at the position of maximum bending ; this may be at the centre of the crank or at either end.

Firstly, cyberspace describes the flow of digital data through the network of interconnected computers: it is at once not " real ", since one could not spatially locate it as a tangible object, and clearly " real " in its effects.

Firstly, in estimating the probability density functions of random variables and secondly in estimating the spectral density function of a time series.

The problems other philosophers have had with Mill's position center around the following issues: Firstly, Mill's formulation encounters difficulty when it describes what direct experience is by differentiating only between actual and possible sensations.

This is for two reasons: Firstly, many ethnic Faroese live in Denmark and few who are born there return to the Faroes with their parents or as adults.

Firstly, to reflect the hope and belief that he would live to celebrate his 100th birthday in 2030 ; secondly, and more importantly, to break free of the widespread practice of naming conventions that he saw as rooted in a collectivist mentality, and existing only as a relic of humankind's tribalistic past.

Firstly, the teams from the 5th, 6th & 7th ranked nations receive automatic qualification.

Firstly there was a cover of David Bowie's 1972 glam-rock classic " Suffragette City ", slightly renamed to " SufferRAGEette City " to fit in with the " Rage Hard " promotion.

Firstly, decomposition of a function into non-interacting components generally permits more economical representations of the function.

Firstly they tend to be a vessel for showing eras of audiences issues across the globe visually and in the most effective manner.

Firstly, there is metaphysical or philosophical materialism, in which matter-in-motion is considered primary and thought about matter-in-motion, or thought about abstractions, secondary.

Firstly, as part of Rashka and later as part of Serbian Empire.

Firstly, paper shortages forced Tintin to be published in a daily three-or four-frame strip, rather than the two full pages every week which had been the practice on Le Petit Vingtième.

Firstly, the British declared martial law in parts of the country — allowing for internment and executions of IRA men.

Firstly, her younger son Sanjay had been her chosen heir ; but after his death in a flying accident in June 1980, his mother persuaded a reluctant elder son Rajiv Gandhi to quit his job as a pilot and enter politics in February 1981.

Firstly, a dissatisfied employee appropriates information to advance their own interests or to damage the company or, secondly, a competitor or foreign government seeks information to advance its own technological or financial interest ' Moles ' or trusted insiders are generally considered the best sources for economic or industrial espionage.

The positivist view on law can be seen to cover two broad principles: Firstly, that laws may seek to enforce justice, morality, or any other normative end, but their success or failure in doing so does not determine their validity.

Firstly marauding Zulu clans, displaced from Zululand as part of the Lifaqane ( or Mfecane ), wrought havoc on the Basotho peoples they encountered as they moved first west and then north.

Firstly, the " aboutness " of the material is ascertained.

Firstly, they facilitate subject access by allowing the user to find out what works or documents the library has on a certain subject.

Firstly, because it looks again at Anatolia and Anatolians, and more importantly, because it hews back to the methodology first used by Cumont.

Firstly, the Khasas were welcomed and assimilated within Magar empire.

Firstly, particularly in the Discourses on Livy, Machiavelli is unusual in the positive side he sometimes seems to describe in factionalism in republics.

Firstly, in a centralized government system, promotion in the bureaucratic-political hierarchy was the only path to power.

Firstly, the hierarchy of the courts needs to be accepted, and an efficient system of law reporting.

Firstly, k is an even integer 2p, and in the direct sum decomposition of H shown to exist in Hodge theory, x is purely of type ( p, p ).

Firstly, if one has a group G acting on a mathematical object ( or set of objects ) X, then one may ask which points x are unchanged, " invariant " under the group action, or under an element g of the group.

Firstly, it is applicable only to situations in which there is only a ' finite ' number of possible outcomes.

Firstly, the cell is filled with a solution of known hydrogen ion activity and the emf, E < sub > S </ sub >, is measured.

Firstly, a few inches below a branch-trunk joint on a tree trunk where the moth is in shadow ; secondly, on the underside of branches and thirdly on foliate twigs.

Firstly, it is the extent of self-determination a people are given to protect themselves and determine how they wish to be ruled and what role is played by human rights violations, cultural eradication and pogroms by the Azerbaijani majority against the Armenian communities of Azerbaijan in a decision.

Firstly, the urge to transcend one ’ s self is universal through times and cultures ( and was characterized by H. G.

Firstly, as there is no authentication, an attacker can edit a message and recompute the CRC without the substitution being detected.

Firstly, the file system is not a single tree, but instead is a forest with each tree corresponding to a device.

Firstly, the spreading out of electromagnetic energy in free space is determined by the inverse square law, i. e.

Firstly there was the Aristotelian view that there simply was no void and that everything that exists objectively is in the category of substance.

Firstly, the mathematical and geometrical nature of the construction is an image of the orderly universe, in which an underlying rationality and logic can be perceived.

Firstly, the accepted mathematical structure of quantum mechanics is based on fairly abstract mathematics, such as Hilbert spaces and operators on those spaces.

Firstly, the use of such a weapon is of no use to an occupying force, as the target area becomes uninhabitable ( due to the fallout caused by radioactive poisoning of the involved environment ).

Firstly, property 1 ensures W is nonempty.