Precisely, the s-cobordism theorem ( the s stands for simple-homotopy equivalence ), proved independently by Barry Mazur, John Stallings, and Dennis Barden, states ( assumptions as above but where M and N need not be simply connected ):

Precisely at the moment when it has lost its vision the mind of the community turns out from itself in a search for the ontological standard whereby it can measure itself.

Precisely when early humans started to use tools is difficult to determine, because the more primitive these tools are ( for example, sharp-edged stones ) the more difficult it is to decide whether they are natural objects or human artifacts.

Adams concludes that “ right action, by act-utilitarian standards, and right motivation, by motive-utilitarian standards, are incompatible in some cases .” The necessity of this conclusion is rejected by Fred Feldman who argues that “ the conflict in question results from an inadequate formulation of the utilitarian doctrines ; motives play no essential role in it …( and that )… Precisely the same sort of conflict arises even when MU is left out of consideration and AU is applied by itself .” Instead, Feldman proposes a variant of act utilitarianism that results in there being no conflict between it and motive utilitarianism.

Precisely when it became common to include the name of a man's voting tribe as part of his full name is unknown.

Precisely when the settlement became known as Jeffersonville is unclear, but it was probably around 1801, the year in which President Thomas Jefferson took office.

Precisely when the town of Pahiatua came into being is not clear as it has not been established when McCardle's first land sale took place.

Precisely how and when people began the custom of eating Moon Pies with RC Cola is unknown, although it is likely that their inexpensive prices, combined with their larger serving sizes, contributed to establishing this combination as the " working man's lunch ".

* April 18 – Precisely one year after the Doolittle Raid, Admiral Isoroku Yamamoto, Commander-in-Chief of the Imperial Japanese Navys Combined Fleet, is killed when the Mitsubishi G4M ( Allied reporting name " Betty ") in which he is riding as a passenger, T1-323, is ambushed and shot down by U. S. Army Air Forces P-38 Lightning fighters over Bougainville in Operation Vengeance.

Other descriptions of the call were: " A peculiar barking noise ... just like the barking of a young dog "; " Precisely the same as two men " cooeying " to each other from a distance "; " A melancholy hooting note ", or a high-pitched chattering, only heard when the birds were on the wing and generally on dark and drizzly nights or immediately preceding rain.

Precisely when the first snow globe ( also called a " waterglobe ", " snowstorm ", or " snowdome ") was made remains unclear, but they appear to date from France during the early 19th century.

Precisely what happened to Pershore in the later 10th century is poorly documented, but some sources seem to hint that it went into decline during the succession crisis which emerged in the wake of King Edgar's death.

Precisely stated, a function is binary if there exists sets such that

Precisely which species of felid are able to purr is a matter of debate, but the sound has been recorded in most of the smaller species, as well as the cheetah and cougar, and may also be found in the big cats.

Precisely what " The Great and Abomninable Church " is, however, remains vague.

Precisely what was arranged is unknown.

Precisely what the Bar / Bat Mitzvah should lead during the service varies in Judaism's different denominations and from one congregation to another and is not fixed by Jewish law.

Precisely, the formal derivative of the formal Laurent series f above is

Precisely it is the result of multiplying the chromosome number in an F1 hybrid.

Precisely because it carries on, as it has carried on ever since the middle of the eighteenth century, a war against that anachronistic survival, Pop Art is, whatever its overt politics, subversive: a threat to all hierarchies insofar as it is hostile to order and ordering in its own realm.

Precisely what brought Dr. Knapp to Louisiana is unclear.

Precisely how old the church is remains a mystery, and although at one time it belonged to the priory of Whithorn, Wigtown parish church was afterwards set up as a free rectory with the king as patron.

Precisely, for any consistent first-order theory it gives an " explicit construction " of a model described by the theory ; and this model will be countable if the language of the theory is countable.

Precisely why this should have happened is not known.

Precisely because the designation is for the process rather than the product, it is regarded as an " intangible " property and is the only stoneware pottery-making process so designated in Japan.

Precisely at this moment, Carrel and party were approximatively 400 metres below, still dealing with the most difficult parts of the Italian ridge.

Precisely what the Ferengi Alliance consisted of was never revealed ; it may simply encompass Ferenginar and any uninhabited planets that the Ferengi have colonized, since there was little indication that the Ferengi government exercised authority over any species other than its own.

Precisely because tranylcypromine was not, like isoniazid and iproniazid, a hydrazine derivative, its clinical interest increased enormously, as it was thought it might have a more acceptable therapeutic index than previous MAOIs.

Moreover, the speed of convergence in terms of the Lipschitz constants of the approximations is strictly related to the modulus of continuity of Precisely, let be the minimal concave modulus of continuity of which is

The Ottaways, writing not long after the incident state, " Precisely how the shoot-out began and which side took the initiative remains a typical Derg mystery ".

Precisely because some members of the government also held such views, the PNDC secretary for finance and economic planning, Kwesi Botchwey, felt the need to justify World Bank ( see Glossary ) assistance to Ghana in 1983:

Precisely for that reason, Ecuadorians with marital troubles will often ask their godparents for advice.

Precisely the attributes which make Hrafnkels saga so accessible have served to make it an attractive target for different theories on the origins of the Icelandic sagas.

Precisely because these simple paradigms do not require linguistic strategies for solution, they are especially useful for working with patients whose language skills are compromised, or whose cognitive skills may be minimal.

* Precisely because natural resources were for a long time either non-reproducible or freely available goods ( i. e. not reproducible commodities ) the whole tendency in the market economy was for those resources to be plundered for private gain, rather than economized appropriately.

Precisely which Bosnian Serb units were involved in the Kravica executions cannot be stated with any certainty.

Precisely, a wheel is an algebraic structure with operations binary addition, multiplication, constants 0, 1 and unary, satisfying:

: Precisely by inculcating a critical attitude, the " canon " served to demythologize the conventional pieties of the American bourgeoisie and provided the student with a perspective from which to critically analyze American culture and institutions.

Precisely in this year, they started the Cargo 92 project, embarking from the city of Nantes in the cargo ship Melquiades with the theater company Royal de Luxe, in order to start a boat trip to South America, subsidized by the French government.

Ward included a passage from one of his anarchist forebears, Peter Kropotkin, who said of the empty and overgrown landscape of Surrey and Sussex at the end of the 19th century, ‘ in every direction I see abandoned cottages and orchards going to ruin, a whole population has disappeared .’ Ward himself went on to observe: ‘ Precisely a century after this account was written, the fields were empty again.

`` Precisely '', said Mr. Frans.

Precisely, we can systematically define a model of any consistent effective first-order theory T in PA by interpreting each symbol of T by an arithmetical formula whose free variables are the arguments of the symbol.

Precisely because such a comparison or reference may sometimes be appropriate, Godwin has argued that overuse of Nazi and Hitler comparisons should be avoided, because it robs the valid comparisons of their impact.

VLADIMIR: Precisely.

Precisely the two processes, which he described have.

Precisely because he had submitted to Brian's authority, the King of Leinster was overthrown in 998 and replaced by Máel Morda mac Murchada.

Precisely two years later, the monument was inaugurated by Nicholas.