Given the complexity of the calculations involved and the convoluted structure that a convertible bond can have, an arbitrageur often relies on sophisticated quantitative models in order to identify bonds that are trading cheap versus their theoretical value.

Given the initial positions ( e. g. from theoretical knowledge ) and velocities ( e. g. randomized Gaussian ), we can calculate all future ( or past ) positions and velocities.

Given the array of duties public administrators find themselves performing, the professional administrator might refer to a theoretical framework from which he or she might work.

Given that most theists understand all that is not God to be brought about by God, and that many ( for example, St. Aquinas ) argue from the non-aseity of the universe to the existence of God, this problem is somewhat theoretical.

Given this stance, it emphasises the practical teachings of subjects with a sound theoretical background, while at the same time actively adapting the lesson material and courses to the job market demands and the realities of today ’ s society.

Given an equilateral triangle, the counterclockwise rotation by 120 ° around the center of the triangle " acts " on the set of vertices of the triangle by mapping every vertex to another one.

Given that spinning a Dyson Sphere would result in the atmosphere pooling around the equator, the Ringworld removes all the extraneous parts of the structure, leaving a spinning band landscaped on the sun-facing side, with the atmosphere and inhabitants kept in place through centrifugal force and 1000 mile high perimeter walls ( rim walls ).

Given the requirements of weight, and fragment density required this dictated using approximately 700 fragments, and being able to aim the mine with an accuracy of around two feet ( 0. 6 m ) at the center of the target zone.

Given the fact that the period P of an object in circular orbit around a spherical object obeys

Given that the southern part of the Upper Ward ( where Crown Square is now sited ) was not suited to being built upon until the construction of the vaults in the 15th century, it seems probable that any earlier buildings would have been located towards the northern part of the rock ; that is around the area where St. Margaret's Chapel stands.

Given the price of 1 / 32 Mark for six small fruit pies ( as seen in Dragonsinger ), it places the value at around $ 20 to the Mark.

Given the history and the large number of birds hatched in Basel since 1959, it may be concluded that most of the Greater Flamingo zoo colonies around the world are related to the one at Basel.

Given the older ages of these stars, and the short lifetimes of micrometer-sized dust grains around stars due to Poynting Robertson drag, collisions, and radiation pressure ( typically hundreds to thousands of years ), it is thought that this dust is from the collisions of planetesimals ( e. g. asteroids, comets ).

Given the prevalence of-assa place-names and words scattered around all sides of the Aegean Sea, this possessive suffix was sometimes considered evidence of a shared non-Indo-European language or an Aegean Sprachbund preceding the arrivals of Luwians and Greeks.

Given that there are around 700, 000 live births in Britain each year, Meadow argued that a double cot death would be expected to occur once every hundred years.

Given this dismal track record there is no evidence that had Taichang reign lasted any longer than it did, he could have turned around the fortunes of the beleaguered Ming Dynasty after the long steady decline of the latter years of Wanli's reign.

Given The Holy Land lies around the Great Rift, which causes occasional volcanic activity due to continental drift, the most logical explanation for fire and brimstone is the fire and sulfur emitted by live volcanoes and the lake of fire being the caldera.

Given that Neukölln was heavily penetrated by Soviet combat groups, Krukenberg prepared fallback positions for Sector C defenders around Hermannplatz.

Given the mean arrival and service rates, then actual rates vary around these average values randomly and hence have to be determined using a cumulative probability distribution function.

Given a sequence ( X < sub > n </ sub >, p < sub > n </ sub >) of locally compact complete length metric spaces with distinguished points, it converges to ( Y, p ) if for any R > 0 the closed R-balls around p < sub > n </ sub > in X < sub > n </ sub > converge to the closed R-ball around p in Y in the usual Gromov – Hausdorff sense.

On 18 July 2011, Given joined Aston Villa for a fee believed to be around £ 3. 5 million.

After a transfer fee initially reported to be around £ 8 million was agreed between the clubs, Given signed for Manchester City on 1 February, with the transfer window set to close the following day.

Although the fee for Given was expected to be around £ 8 million, in February 2009 Newcastle United Managing Director Derek Llambias revealed at a supporters panel meeting that Given had been sold for an initial £ 5. 9 million.

On 18 July 2011, Given joined Aston Villa for a fee believed to be around £ 3. 5 million.

Given the unexpected size of German forces closed off in Stalingrad, on 23 November Stavka ( Soviet Armed Forces High Command ) decided to strengthen the outer encirclement preparing to destroy Axis forces in and around the city.

Given that it took 46 years of construction, scholarly estimates for the Temple visit in the Gospel of John are around 27-29 AD.

Given Australia has a population of only around 20 million people ( ranked 53rd in the world ) this fact is frequently cited as noteworthy by the mainstream Australia media due to a strong sporting culture.

Given the associated safety risks, the TGA concluded " efforts should be made to curb the illegal availability of colloidal silver products, which is a significant public health issue.

Given that much of the first half of the novel focuses on the initial encounter, blossoming friendship and eventual estrangement of these central characters, this issue continues to pique the curiosity of readers.

Given this definition, there are many publics ; each of them comes into being when an issue arises and ceases to exist when the issue is resolved.

Given that the Ashuruballit I synchronism with Akhenaten has become the crucial link between Egyptian and Mesopotamian history in recent years, this issue is a key area of focus and dispute.

On the issue of the second home he wrote: " I have concluded that Mr MacKay was wrong to designate the Bromsgrove property as his main home Given that, it would be unreasonable to hold that Ms Kirkbride could not make legitimate claims from parliamentary resources for the home in her constituency which she had identified as her second home ".

Given that sleep apnea is a chronic health issue which commonly doesn't go away, ongoing care is usually needed to maintain CPAP therapy.

An attempt by Adrian Davies to launch parallel proceedings in Belgium without notifying the Belgian Court of English proceedings was blocked by a landmark anti-suit injunction granted by Miss Sarah Asplin QC on 20 May 2011, where she stated " Given that the present defendants had submitted to the hearing of that issue and allowed costs to be incurred, in my judgement such conduct is vexatious and oppressive ".

Given that the form mixes harangue with self-reflection, it is always clear where the argument tends and the context is brought along with the main thrust, whether the issue is cooking, Lawino's relatives being told they cannot drop in unannounced, or the pretensions and fashions of the urban second wife.

Given the Court's First Amendment holding, that issue is largely academic.

Given Carson's undisputed status as the dean of late-night television, NBC heard his request as an ultimatum, fearing he might use the issue as grounds to defect to either ABC or CBS.

Given the violent nature of robot fighting, safety is always the most important issue at robot events.

Given the importance of slavery to the secessionist movement of the south, the issue is mentioned rather sparingly in the provisional constitution.

Given the title Princess of Poseidonis, Tula is schooled in Atlantean traditions, and never leaves the royal palace until she meets Aqualad ( Garth ) at age 15 in this issue.

Given her ruling that the Law Society's actions were fair, McLachlin declined answering the fourth issue.

Given the large-scale interconnecting relationships in the series, this is a serious issue affecting most if not all of the characters.

Given how difficult all concerned found discussing the details of the crimes at issue, their language characterizes the questionable activities repeatedly without ever specifying the actions themselves.

Given the impossibility of sending a bacteria-free human being into space, forward-contamination will remain an issue for as long as manned missions continue.

Given the lengthy review and design process, the public is advised to submit ideas at least three years before the anticipated date of issue.