There is every reason to recognize that in the very last years of his life, as we shall see, Thompson did take the drug in carefully rationed doses to ease the pains of his illness, but the exact date at which this began has never been determined.

Computerized sources, on the other hand, are able to calculate the right ascension and declination of the " epoch of date " to the exact instant of observation.

An exact birth date has been hard to determine, but due to a monk's recent discovery of his ' grave, it seems that 1116 or 1117 could be closer estimates.

His exact date of death remains unclear as well, with most research pointing toward it being between April 14, 1202, and April 5, 1203.

It was already founded at the time of the establishment of the city shortly after 1200 ; the exact date is not known.

Also in 1998, Juanita Broaddrick alleged Clinton had raped her though she did not remember the exact date, which may have been 1978.

The exact date of composition for both of these works is unknown.

Disputes regarding his exact birth date derive from contradictory census records and draft registration records.

The exact date that the Maritimes began to fall behind the rest of Canada is difficult to determine.

The exact date of Cyril ’ s appointment to Bishop of Jerusalem is not known but many believe the date to be around the early to mid part of the Fourth century.

The elements are listed generally in the order in which each was first defined as the pure element, as the exact date of discovery of most elements cannot be accurately defined.

The exact date and place of Eleanor's birth are not known.

The exact date of Douglass ' birth is unknown.

Many almanacs list full moons not just by date, but by their exact time as well, usually in Coordinated Universal Time ( UTC ).

However, somewhere between 258 and 260 ( the exact date is unclear ), Gallienus had to face the first major revolt in his reign.

Carver was born into slavery in Diamond Grove, Newton County, near Crystal Place, now known as Diamond, Missouri, possibly in 1864 or 1865, though the exact date is not known.

Much of the post-Roman development of St Albans was in memorial to Saint Alban, the earliest known British Christian martyr, executed in AD 250 ( the exact date is unknown, with scholars suggesting dates of 209, 254 and 304 ).

Irenaeus was born during the first half of the 2nd century ( the exact date is disputed: between the years 115 and 125 according to some, or 130 and 142 according to others ), Irenaeus is thought to have been a Greek from Polycarp's hometown of Smyrna in Asia Minor, now İzmir, Turkey.

* 1752 – Benjamin Franklin proves that lightning is electricity ( traditional date, the exact date is unknown ).

John married Isabella whilst she was relatively young – her exact date of birth is uncertain, and estimates place her between at most 15 and more probably towards nine years old at the time of her marriage.

Though the exact date of the building is unknown, an unnamed causeway leading from the Stadtschloss through the swampy area between the settlements of Charlottenburg ( then called Lietzow ) and Wilmersdorf to Grunewald is depicted in a 1685 map.

However, the exact date of the poem is uncertain because Coleridge normally dated his poems but did not date Kubla Khan.

The hunter seeks Bongo to exact revenge for an apparent practical joke in which Bongo set fire to the hunter's tent, giving him a literal " hotfoot ".

Another sub-plot in the firm focuses on Pee Wee's attempt to exact revenge for the Tommy and Billy's " Cherry Forever " practical joke in the first movie in which Pee Wee was abandoned in the Everglades running naked along a deserted road only to be " pulled over " by Officer Jarvis and his partner during an otherwise lonely and uneventful patrol.

Frets are metal strips ( usually nickel alloy or stainless steel ) embedded along the fretboard and located at exact points that divide the scale length in accordance with a specific mathematical formula.

The molecular formula reflects the exact number of atoms that compose the molecule and so characterizes different molecules.

High resolution mass spectrometry can usually identify the exact formula of a compound and is used in lieu of elemental analysis.

If the areas of the two parallel faces are A < sub > 1 </ sub > and A < sub > 3 </ sub >, the cross-sectional area of the intersection of the prismatoid with a plane midway between the two parallel faces is A < sub > 2 </ sub >, and the height ( the distance between the two parallel faces ) is h, then the volume of the prismatoid is given by ( This formula follows immediately by integrating the area parallel to the two planes of vertices by Simpson's rule, since that rule is exact for integration of polynomials of degree up to 3, and in this case the area is at most a quadratic in the height.

Without taking symmetries into account, the number of possible games can be determined by hand with an exact formula that leads to 255, 168 possible games ( see Henry Bottomley, 2001, or Steve Schaeffer, 2002 ).

( The Earth's radius of curvature actually varies by 1 % between the Equator and the Poles, so this formula isn't absolutely exact even assuming no refraction.

If h is significant with respect to R, as with most satellites, then the approximation made previously is no longer valid, and the exact formula is required:

that the average number of moves in an n-disk Tower is given by the following exact formula:

The calculation is complex and its result cannot be represented in an exact algebraic formula.

This formula is not exact: It assumes the current density is totally uniform in the conductor, which is not always true in practical situations.

Another situation for which this formula is not exact is with alternating current ( AC ), because the skin effect inhibits current flow near the center of the conductor.

The exact formula for the lowest frequency is

The limit of the reduced mass formula as one mass goes to infinity is the smaller mass, thus this approximation is used to ease calculations, especially when the larger particles exact mass is not known.

* Numerical analysis is a branch of mathematics, pioneered by celestial mechanicians, for calculating approximate numerical answers ( such as the position of a planet in the sky ) which are too difficult to solve down to a general, exact formula.

As listed above, the papermaking process included the use of materials like bark, hemp, silk, and fishing net ; his exact formula has been lost.

We note here that if the trajectories of the vertices are assumed to be linear polynomials in then the final sixty functions are in fact cubic polynomials, and in this exceptional case, it is possible to locate the exact collision time using the formula for the roots of the cubic.

Sources differ as to the exact formula for the Droop quota.

All species of yew contain highly poisonous alkaloids known as taxanes, with some variation in the exact formula of the alkaloid between the species.

From the formula above, it appears that a spectrogram contains no information about the exact phase of the signal that it represents.

" To answer this question, Hilbert derives an exact formula for the determinant of the Hilbert matrices and investigates their asymptotics.

In molecules or ions that have a combination of one or more single and multiple bonds, often the exact position of the respective bonds in the Lewis formula cannot be indicated.

Given the lengths of the sides of any cyclic quadrilateral, Brahmagupta gave an approximate and an exact formula for the figure's area,

For nearly 30 years the mathematic formula used to determine the exact height of the enormous wing was thought to be a highly guarded Chrysler secret.

Whenever we come up with a pattern or color that sells well, we make sure we stick to its exact formula.