* Detailed Design: the process of refining and expanding the preliminary design of a system or component to the extent that the design is sufficiently complete to begin implementation.

Detailed studies of the plan were well underway.

Detailed information on record lengths of the giants is given in the section that follows.

Detailed morphological and molecular studies have shown that the group is not actually monophyletic, with proposed floral homologies of the gnetophytes and the angiosperms having evolved in parallel.

* Detailed bibliographies of major historians.

File: Bassas da India atoll map-fr. png | Detailed map.

Detailed controls and uncertain policies in areas such as industrial licensing, trade, labor, and finance continue to hamper foreign investment.

Detailed analysis shows that the complexity class is unchanged by allowing error as high as 1 / 2 − n < sup >− c </ sup > on the one hand, or requiring error as small as 2 < sup >− n < sup > c </ sup ></ sup > on the other hand, where c is any positive constant, and n is the length of input.

* Detailed information on Ansiklopedika. org

* Detailed map of Chad from www. izf. net

* Dinosauria From UC Berkeley Museum of Paleontology Detailed information – scroll down for menu.

* Detailed biography at baroquemusic. org

Detailed studies of evaporation involve boundary layer considerations as well as momentum, heat flux and energy budgets.

Detailed features vary from place to place.

Detailed calculation of the efficiency of a hydropower turbine will account for the head lost due to flow friction in the power canal or penstock, rise in tail water level due to flow, the location of the plant and effect of varying gravity, the temperature and barometric pressure of the air, the density of the water at ambient temperature, and the altitudes above sea level of the forebay and tailbay.

Detailed studies have been made in the anthropological and sociological customs of patrilineal succession, is also known as gavelkind, where only male children can inherit.

Detailed calculations for the orbit of the planet Mars first indicated to Kepler its elliptical shape, and he inferred that other heavenly bodies, including those farther away from the Sun, have elliptical orbits too.

The Nutrition Source, a website maintained by the Department of Nutrition at the Harvard School of Public Health, summarizes the current evidence on the impact of dietary fat: " Detailed research — much of it done at Harvard — shows that the total amount of fat in the diet isn't really linked with weight or disease.

Detailed photography and text revealed that the railway is still largely in good condition, despite some natural decay.

* Detailed information on Ansiklopedika. org

* Detailed information on Ansiklopedika. org

Detailed information on the nutrients provided by a large range of foodstuffs is available in the USDA National Nutrient Database.

# Detailed knowledge exchange and integrations are difficult when the acquired firm is large and high performing.

Detailed Report on an Archaeological Tour with the Buner Field Force, Lahore, Punjab Government Press.

The Owls claim to have proof that such a tear, an expanding cosmic bubble, will eventually reach our solar system and a new universe, its properties calculated anywhere from apocalyptic to inconsequential, will be created.

Several teams of mathematicians have verified that Perelman's proof is correct.

On December 22, 2006, the journal Science honored Perelman's proof of the Poincaré conjecture as the scientific " Breakthrough of the Year ", the first time this had been bestowed in the area of mathematics.

From May to July 2006, several groups presented papers that filled in the details of Perelman's proof of the Poincaré conjecture, as follows:

* Bruce Kleiner and John W. Lott posted a paper on the arXiv in May 2006 which filled in the details of Perelman's proof of the geometrization conjecture.

They initially implied the proof was their own achievement based on the " Hamilton-Perelman theory ", but later retracted the original version of their paper, and posted a revised version, in which they referred to their work as the more modest " exposition of Hamilton – Perelman's proof ".

Perelman's proof uses a modified version of a Ricci flow program developed by Richard Hamilton.

This last part of the proof appeared in Perelman's third and final paper on the subject.

* Perelman's proof of the Poincaré conjecture: a nonlinear PDE perspective by Terence Tao, unpublished arxiv. org preprint ( written for mathematicians ).

* Lectures on Perelman's proof by T. Tao.

The main difficulty in verifying Perelman's proof of the Geometrization conjecture was a critical use of his Theorem 7. 4 in the preprint ' Ricci Flow with surgery on three-manifolds '.

This method, with full details leading to the proof of Geometrization, can be found in the exposition by B. Kleiner and J. Lott in ' Notes on Perelman's papers ' in the journal Geometry & Topology.

* Bruce Kleiner and John Lott, Notes on Perelman's Papers ( May 2006 ) ( fills in the details of Perelman's proof of the geometrization conjecture ).

1, 57-78 ( expository article explains the eight geometries and geometrization conjecture briefly, and gives an outline of Perelman's proof of the Poincaré conjecture )

" On 22 December 2006, the journal Science recognized Perelman's proof of the Poincaré conjecture as the scientific " Breakthrough of the Year ", the first such recognition in the area of mathematics.

It is the primary tool used in Grigori Perelman's solution of the Poincaré conjecture, as well as in the proof of the Differentiable sphere theorem by Brendle and Schoen.

The original versions of his papers contained " many technical errors of varying degree "; when the collection was first published, the errors were corrected and it was found that this could be done without major changes in the statements of the theorems, with one exception — a claimed proof of the Continuum hypothesis.

The first version of the ontological proof in Gödel's papers is dated " around 1941 ".

After nearly a century of effort by mathematicians, Grigori Perelman presented a proof of the conjecture in three papers made available in 2002 and 2003 on arXiv.

In these papers he sketched a proof of the Poincaré conjecture and a more general conjecture, Thurston's geometrization conjecture, completing the Ricci flow program outlined earlier by Richard Hamilton.

These papers are together believed to give a complete proof, and there are several ongoing projects to shorten and simplify this proof.

Simien-Despréaux, one of Louis XVIII's authors, stated in 1814 that Louis XVII was living and someone possessed proof of this ; and Eckard, one of the mainstays of the official account, left among his unpublished papers a statement that many members of " an assembly of our wise men " obstinately named Louis XVII as the prince whom their wishes demanded.

Bridges wrote a couple of papers presenting the proof.

Although generalized to triple integrals by Lagrange in 1773, and used by Legendre, Laplace, Gauss, and first generalized to n variables by Mikhail Ostrogradski in 1836, it resisted a fully rigorous formal proof for a surprisingly long time, and was first satisfactorily resolved 125 years later, by Élie Cartan in a series of papers beginning in the mid-1890s (; ).

Many of the papers that report an " automated verification " ( or termination proof ) of the 91 function only handle the non-recursive version.

In September 1792, Augereau joined a volunteer cavalry unit, the German Legion. But this is without proof as Augereau claims that the papers were taken away from him during the Portuguese Inquisition.

Between 1886 and 1892 he published a series of papers on the foundations of the kinetic theory of gases, the fourth of which contained what was, according to Lord Kelvin, the first proof ever given of the Waterston-Maxwell theorem ( equipartition theorem ) of the average equal partition of energy in a mixture of two gases.

On January 3, 2012 Glass ' attorneys filed papers in the Supreme Court arguing that his behavior has been irreproachable for over thirteen years and is proof that he has reformed.

Their first published proof replaced the cobordism theory of the first proof with K-theory, and they used this to give proofs of various generalizations in the papers.

A series of papers by Getty shows that Grafen ’ s proof of the handicap principle depends on the critical simplifying assumption that signalers trade off costs for benefits in an additive fashion, the way humans invest money to increase income in the same currency.

This book reprints much of Boolos's work on the rehabilitation of Frege, as well as a number of his papers on set theory, second-order logic and nonfirstorderizability, plural quantification, proof theory, and three short insightful papers on Gödel's Incompleteness Theorem.

The possession of books or papers in Arabic was near concrete proof of disobedience with severe repercussions.

An initial version of ADS, with a database consisting of 40 papers, was created as a proof of concept in 1988, and the ADS database was successfully connected with the SIMBAD database in the summer of 1993.

The existence of the identification number is also not proof that the papers have not been retracted for fraud, incompetence, or misconduct.

According to papers in the estate of Dr. Leopold Nowak ( who as head of the music collection of the Austrian National Library was in charge of the manuscript's transport to Brussels ) it is obvious however that there is absolutely no proof that the damage of the manuscript actually took place during the World's Fair in 1958 in Brussels.