Given an asymmetric subunit on a triangular face of a regular isosahedron, with three subunits per face 60 such subunits can be placed in an equivalent manner.

Given that ipê trees typically grow in densities of only one or two trees per acre, large areas of forest must be searched and cut down to create paths to harvest and fill orders for boardwalks and, to a lesser extent, homeowner decks.

Given a 5 % male excess birth rate, there appears to be 3. 15 male SIDS cases per 2 female, for a male fraction of 0. 61.

Given this inherent distortion, it is not unusual for a television or video projector to truthfully claim a linear contrast ratio ( difference between darkest and brightest output levels ) of 1000: 1 or greater, equivalent to 10 bits of audio precision even though it may only accept signals with 8-bit precision and use an LCD panel that only represents 6 or 7 bits per channel.

Given that over 90 per cent of the area of kauri forest standing before 1000AD was destroyed by about 1900, it is not surprising that recent records are of smaller, but still very large trees.

Given the vast territory of the Russian Far East, 6. 7 million people translates to slightly more than one person per square kilometer, making the Russian Far East one of the most sparsely populated areas in the world.

Given that the Persian fleet appears to have been undermanned in the aftermath of Salamis, 200-300 ships would indeed give this number of naval personnel ( using Herodotus's standard complement of 200 men per ship ).

Given the above-mentioned considerations, many critics of coca eradication believe the fundamental goal of the U. S. government is to constrict the flow of income to the Colombian Marxist rebel movement, FARC, which is heavily funded by the illegal drug trade, rather than combating drugs per se.

Given that in Brazil all private and public sector employees and civil servants receive an additional compensation equivalent to one monthly salary after a year of work ( this compensation is known as the thirtheenth salary ), the President receives thirteen payments of R $ 26. 723, 13 per year, resulting in an annual salary of R $ 347. 400, 69.

Given the current human population and birth-rate, this equals five per day or 1800 per year.

Given the impoverishment of Francis, the couple were forced to survive on Mary Adelaide's small Parliamentary allowance of £ 5, 000 per annum, supplemented by income from her mother, The Duchess of Cambridge.

Given a graph Λ ( for example, a d-dimensional lattice ), per each lattice site j ∈ Λ there is a discrete variable σ < sub > j </ sub > such that σ < sub > j </ sub > ∈

Given a concrete category C, it is often the case that the opposite category C < sup > op </ sup > per se is abstract.

Given the facts that solar thermal power is reliable, can deliver peak load and does not cause pollution, a price of US $ 0. 10 per kWh starts to become competitive, although a price of US $ 0. 06 has been claimed With some operational cost a simple target is 1 dollar ( or lower ) investment for 1 kWh production in a year.

Given the price of RAM during the period, up to several hundred dollars per MiB, and the quality and reputation of the above brand names, an expanded memory board was very expensive.

Given the small overall amount of power produced per cubic meter, there is a substantial case for increasing water flow to the natural channel, now that Arnacrusha is producing so small a proportion of ESB's power.

With a growth rate capable of one foot per day, it is referred to as " the plant that ate the south "( Samuel Given McClure ).

Given the short distance ( 90 miles ) between Axis airfields on Sicily and the planned drop zones over Malta, it was possible for the motorized transports to make four round-trips per day.

Lessig traces the simultaneous legal environment that permitted its genious: Given the challenge of deciding whether photographers would need to get per mission before taking aim, the legal system decided " in favor of the pirates .....

Given a-dimensional lattice, per each lattice site there is a two-dimensional, unit-length vector

Given that aszú conditions only happen in perhaps three vintages per decade, a lot of dry Furmint is also produced.

Given the size of the territory, the force amounted to less than 1 soldier per square mile.

Given years of practice, symbol shorthand writers could sometimes acquire skills of 150 or even 200 words per minute, which might have qualified them for demanding positions such as court reporting, typically dominated today by machine shorthands.

Given ideal conditions, females can have up to five litters per year although reproduction becomes depressed in summer and ceases altogether in times of drought.

Given worse public health and greater rurality, and in the case of Northern Ireland greater security concerns, it would appear that the devolved governments will continue to rely on above average levels of per capita expenditure.

Given that average yearly temperatures are currently increasing, and the outlook is for this trend to continue, it is actually possible that the glacier might experience a period of stabilization or slight advance during its retreating march.

Given the title of the play, and considering that Aeschylus ' Oresteia provides an aetiology for Athens's Areopagus, it has been suggested that Prometheus the Fire-Bringer concludes with providing an aetiology for a yearly Athenian torch race honoring the Titan.

Given the title of the play, and taking a cue from the aetiology for the Athenian Areopagus provided by Aeschylus ' Eumenides, it has been suggested that the drama concludes with Zeus ' foundation of the yearly torch race that took place in Athens to honor Prometheus.

Given Guatemala's large expatriate community in the United States, it is the top remittance recipient in Central America, with inflows serving as a primary source of foreign income equivalent to nearly two-thirds of exports.

Given that nearly all Jews of their day were poor or middle-class ( even the rich of that time were only rich relative to the poor ), they ruled that one should not give away more than a fifth of his income to charity, while yet being obligated to give away no less than 10 % of his income to charity.

Given the costs of the road improvements, the monument itself besides the splendid funeral, and that the corporation it seems did not match a penny to these expenses having control of the Surfboat-men ’ s money, it is a lamentable indictment to Thanet ’ s officials that although their still should have been money enough left over, had it been wisely invested, to have yielded an income for life to the widows and orphans, who in the end personally received nothing out of the fund.

For example, more people will likely answer " yes " to the question " Given the increasing burden of taxes on middle-class families, do you support cuts in income tax?

Given a historical endowment performance of 10 – 11 %, and a payout rate of 5 %, around half of the endowment ’ s income is reinvested.

Given the contribution margin, a manager can easily compute breakeven and target income sales, and make better decisions about whether to add or subtract a product line, about how to price a product or service, and about how to structure sales commissions or bonuses.

On 28 May 2009, he walked out of the Ireland squad after Trapattoni informed him that he would be replacing Shay Given with Keiren Westwood for the second half of the friendly International against Nigeria at Craven Cottage on 29 May.

: Given any family of nonempty sets, their Cartesian product is a nonempty set.

Given the similarities in the two characters ' names, professions, written works and generally dark subject matter, it is likely that Lovecraft's Alhazred provided the main inspiration for al-Hazir.

Given a field F, the assertion “ F is algebraically closed ” is equivalent to other assertions:

* Given an algebraic number, there is a unique monic polynomial ( with rational coefficients ) of least degree that has the number as a root.

" Given that Thomas Aquinas died six years before Albertus Magnus ' death, this legend as stated is unlikely.

Given Ealdred's known support of Godwin's family, John of Worcester is probably correct.

* Given any Banach space X, the continuous linear operators A: X → X form a unitary associative algebra ( using composition of operators as multiplication ); this is a Banach algebra.

* Given an R-module M, the endomorphism ring of M, denoted End < sub > R </ sub >( M ) is an R-algebra by defining ( r · φ )( x ) = r · φ ( x ).

Given the other ZF axioms, the axiom of regularity is equivalent to the axiom of induction.

After Christians in Ephesus first wrote to their counterparts recommending Apollos to them, he went to Achaia where Paul names him as an apostle ( 1 Cor 4: 6, 9-13 ) Given that Paul only saw himself as an apostle ' untimely born ' ( 1 Cor 15: 8 ) it is certain that Apollos became an apostle in the regular way ( as a witness to the risen Lord and commissioned by Jesus-1 Cor 15: 5-9 ; 1 Cor 9: 1 ).< ref > So the Alexandrian recension ; the text in < sup > 38 </ sup > and Codex Bezae indicate that Apollos went to Corinth.

Given its " blue-water " bias, the navy is even less inclined to become involved in counterdrug operations than the army or air force.

Given any element x of X, there is a function f < sup > x </ sup >, or f ( x ,·), from Y to Z, given by f < sup > x </ sup >( y ) := f ( x, y ).

Given this, the bidding is said to start at the one-level when contracting for a total of seven tricks, at the two-level for eight tricks and so on to the seven-level to contract to take all thirteen tricks.

While tests have been done to support this with fixed pieces of flat metal, the result is inconclusive with respect to the curved armour of the period. Given the following actions of the archers, it seems likely Froissart was correct.

Given a ket of norm 1, the orthogonal projection onto the subspace spanned by is

Given this influence, it is unfortunate that many of the details of his life remain shrouded in mystery, perhaps forever ; even the only known picture of him, shown above, is heavily retouched, with a fake tie painted in by hand.

Given points P < sub > 0 </ sub > and P < sub > 1 </ sub >, a linear Bézier curve is simply a straight line between those two points.

Given the then GDP ($ 7. 095 bln ) of the country, military spending is roughly estimated to be about $ 300 million.

Given some encrypted data (" ciphertext "), the goal of the cryptanalyst is to gain as much information as possible about the original, unencrypted data (" plaintext ").

Given the federal nature of the holiday, celebrating Canada Day can be a cause of friction in the province of Quebec, where the holiday is overshadowed by Quebec's National Holiday, on June 24.

Given that many journeys are for relatively short distances, there is considerable scope to replace car use with walking or cycling, though in many settings this may require some infrastructure modification, particularly to attract the less experienced and confident.

Given such a sweeping definition, it is apparent that cognition is involved in everything a human being might possibly do ; that every psychological phenomenon is a cognitive phenomenon.