Indeed, methods for constructing " objective " ( alternatively, " default " or " ignorance ") priors have been developed by avowed subjective ( or " personal ") Bayesians like James Berger ( Duke University ) and José-Miguel Bernardo ( Universitat de València ), simply because such priors are needed for Bayesian practice, particularly in science.

Indeed, on 10 May, before Frederick took the field, Louis XV and the Marshal of France Maurice de Saxe had besieged Tournay, and inflicted upon the relieving army of the Duke of Cumberland the great defeat of Fontenoy.

" Indeed, during her early days in Brighton with the Prince of Wales, his uncle the Duke of Gloucester and other friends believed Mrs. Fitzherbert to be pregnant.

Indeed there were considerations by Karl Friedrich, Grand Duke of Baden and Karl, Grand Duke of Baden to close down the university in Freiburg while both of them thought that the Grand Duchy could not afford to run two universities at the same time ( the Ruprecht Karl University of Heidelberg also already existed since 1386 ).

Indeed, King James II as a very young Duke of York was present with his father Charles at the Battle of Edge Hill in 1642.

Indeed, he never allowed the Duke of Ding ' an to rule his dukedom, but effectively put the child duke under house arrest under heavy guard.

The curious nature of the Duke ’ s décor later led some to call the island “ Marlborough ’ s Folly .” Indeed, Lady Hertford described the Pavilion soon after it was finished with both a hint of admiration and amazement:

" Indeed, Russian historian Oleg Sokolov noted that Wellington had committed a serious strategic error by following the French into northern Portugal, and that this decision could have had grievous consequences for the Anglo-Portuguese.

Indeed, a note sent to Wilson by Prince Maximilian of Baden, the German imperial chancellor, in October 1918 requested an immediate armistice and peace negotiations on the basis of the Fourteen Points.

Indeed, the next day, the Chanyu realized that the seal text had changed, and requested that the old seal be returned, but upon being informed that the old seal had been destroyed ( which the ambassadors claimed falsely to be an act of the gods ), acquiesced.

Indeed, the Supreme National Council of Cambodia requested readmission in June 1991.

Indeed no.

Indeed, we should say, on the contrary, that the accident of our later discovery made no difference whatever to the badness of the animal's pain, that it would have been every whit as bad whether a chance passer-by happened later to discover the body and feel repugnance or not.

Indeed, no richer humor is to be found in the whole of American literature than in the letters of the semi-literate men who wore the blue and the gray.

Indeed, he must consider himself no less guilty than this poor bishop ; at least to the extent that he made no concealment of his wish that all synagogues should be destroyed, that no such places of blasphemy be further allowed to exist.

Indeed, complaining that painting did not make enough money to justify the time spent when compared to his prints, he produced no paintings from 1513 to 1516.

Indeed, in those cases where no clear consensus exists on a given norm, the drafting of criminal law by the group in power to prohibit the behaviour of another group may seem to some observers an improper limitation of the second group's freedom, and the ordinary members of society have less respect for the law or laws in general — whether the authorities actually enforce the disputed law or not.

Indeed, their language possessed no single term corresponding to the modern European concept of religion.

Indeed, a number of studies dispute the reality of this statistical distinction or its increasing occurrence, or both, either arguing the reliable record is too short to detect such a distinction, finding no distinction or trend using other statistical approaches, or that other types should be distinguished, such as standard and extreme El Niños.

Indeed, at the end of the 19th century scholar Ernest DeWitt Burton wrote that there could be " no reasonable doubt " that 1 John and the gospel were written by the same author, and Amos Wilder has said that, " Early Christian tradition and the great majority of modern scholars have agreed on the common authorship of these writings, even where the author has not been identified with the apostle John.

Indeed, Winograd showed that the DFT can be computed with only irrational multiplications, leading to a proven achievable lower bound on the number of multiplications for power-of-two sizes ; unfortunately, this comes at the cost of many more additions, a tradeoff no longer favorable on modern processors with hardware multipliers.

In a ring all of whose ideals are principal ( a principal ideal domain or PID ), this ideal will be identical with the set of multiples of some ring element d ; then this d is a greatest common divisor of a and b. But the ideal ( a, b ) can be useful even when there is no greatest common divisor of a and b. ( Indeed, Ernst Kummer used this ideal as a replacement for a gcd in his treatment of Fermat's Last Theorem, although he envisioned it as the set of multiples of some hypothetical, or ideal, ring element d, whence the ring-theoretic term.

Indeed some, such as consultants and providers of investment services, offer no guarantees of the value for price paid.

Indeed, presently no single morphological property is known, which would unify all the members of Laurales.

Indeed from the 1870s onward, the idea that history and civilization were inherently progressive, and that progress was always good ( and had no sharp breaks ), came under increasing attack.

Indeed, prior to the reintroduction of Ptolemy's Geography to Europe around 1400, there was no single convention in the West.

" Indeed, anyone who stops to consider the performance consequences of trail following-let alone link-directed pointer-chasing-over a microfilm library of near universal scope should quickly come to the conclusion that microfilm is no more appropriate a technology for implementing AWMT's vision than Jules Verne's cannon is an appropriate technology for sending astronauts to the Moon.

Indeed, one-size-fits-all programming is no longer seen as tenable by some, as the diversity of musical tastes among the listening public have created a proliferation of radio formats in what some might call a form of narrowcasting.

Indeed no less than nine out of seventeen of his mind-body relationship theories are now classified as falling under the category of Neutral monism.

Indeed, several languages from the Amazon have been independently reported to have no specific number words other than ' one '.

Indeed, if a husband had no natural brothers, he would adopt another man to be his brother so that he would be allowed to marry.

Indeed, in studies of Saguinus fuscicollis, common name saddle-back tamarin, no monogamous lone pairs have ever been seen to attempt a breeding cycle.

Indeed, in pure slide guitar playing the frets serve no purpose, other than as a visual reference.

Indeed, countersupports unless either or ( which are possibilities of no interest ).

Indeed, if is a vector of unit length on a Riemannian n-manifold, then Ric ( ξ, ξ ) is precisely ( n − 1 ) times the average value of the sectional curvature, taken over all the 2-planes containing.

Indeed we note that in polar coordinates, so the integral over the unit circle is equal.

Indeed, by the Stone – Weierstrass theorem, any continuous function on the unit interval can be expressed as a limit of polynomials, so any class of functions containing the polynomials and closed under limits will necessarily include all continuous functions.

Indeed, hyperbolic angle corresponds to area of sectors in the plane with its " unit circle " given by

Indeed ( f + g )( 1 )= 0 and 1 is on the unit circle, which means that f + g is unstable.

Indeed, the chassis was an evolution of the Lagonda's, with a de Dion tube rear suspension, located by triangulated radius rods and a Watts linkage, and a double wishbone unit at the front.

Indeed, according to the Chronicle of Monemvasia, the island served as a refuge for the Corinthians fleeing these incursions.

Indeed, these factors, exacerbated by post-war restrictions on the availability of building materials and skilled labour, collectively served to limit Bevan's achievements in this area.

Indeed, he served as President of the UDF from 1988 to 1996, but he was faced with the rise of a new generation of politicians called the " renovationmen ".

Indeed, the proclamation itself called for lands to be granted to British soldiers that had served in the Seven Years ' War.

Indeed, since 1943, the spectrum of this star has served as one of the stable anchor points by which other stars are classified.

Indeed, on the evidence, I find that the public want to be able to buy tea and coffee served hot, that is to say at a temperature of at least 65 ° C, even though they know ( as I think they must be taken to do for the purposes of answering issues ( 1 ) and ( 2 )) that there is a risk of a scalding injury if the drink is spilled.

Indeed, his original studies and settings of many examples gleaned from his extensive explorations of the Hungarian countryside and Eastern and Central Europe, undoubtedly served as a major influence upon his expanded musical vocabulary.

Indeed, although there were still some elements of operational art that had to be refined, the raid demonstrated the strategic value that the commandos might have had within the theatre if strategic imperatives and resource constraints had not served to derail the concept.

Indeed by 1964 Chesterton was already being heard to say in private that the future of the LEL might be better served by joining up with the younger, more radical members who had departed earlier in the decade.

Indeed, he served on the FEC in one role or another for almost thirty years.

Indeed many defendants in court hearings use the affirmative defense of " I was not served " as an often successful line of defense in any lawsuit.

Indeed, in Thief of Time, Nanny Ogg is sought through various timeframes as she is / will become the best midwife in the world, perhaps evinced by her statement that she has even served as midwife for entirely non-human species like Trolls.

Indeed, the Koran was the main restriction on absolute rule by the sultan and in this way, the Koran served as a " constitution.

Indeed the predictable trends in much of modern rock, as they see it, served as inspiration for their latest album.

Indeed, many contemporary theories postulate that hillforts may not have been the main focus of settlement, but served more as a marketplace-cum-stronghold in times of danger, and in fact most of the time, the population was concentrated in the valleys.

Indeed, in the latter part of the war, as tactics changed to defence in depth, it commonly served well in advance of the front line.

Indeed by the end of the war, almost 20 % of those who served in the Australian forces had been born in Britain.

Indeed, many O & Os have served as a stepping stone for television personalities at their parent networks.