The 21st chapter was omitted from the editions published in the United States prior to 1986 .< ref > Burgess, Anthony ( 1986 ) A Clockwork Orange Resucked in < u > A Clockwork Orange </ u >, W. W. Norton & Company, New York .</ ref > In the introduction to the updated American text ( these newer editions include the missing 21st chapter ), Burgess explains that when he first brought the book to an American publisher, he was told that U. S. audiences would never go for the final chapter, in which Alex sees the error of his ways, decides he has lost all energy for and thrill from violence and resolves to turn his life around ( a slow-ripening but classic moment of metanoia — the moment at which one's protagonist realises that everything he thought he knew was wrong ).

Where U and V are tangent vectors and g < sub > ij </ sub > are the components of the metric tensor G,

Therefore, given any positive integer n, it produces a string with Kolmogorov complexity at least as great as n. The program itself has a fixed length U. The input to the program GenerateComplexString is an integer n. Here, the size of n is measured by the number of bits required to represent n, which is log < sub > 2 </ sub >( n ).

The U. S. survey acre is about 4, 046. 872 609 874 252 square metres ; its exact value ( m < sup > 2 </ sup >) is based on an inch defined by 1 metre = 39. 37 inches exactly, as established by the Mendenhall Order.

This reaction was first studied in 2006 at the LBNL as part of their systematic study of fusion reactions using < sup > 238 </ sup > U targets.

Gleason L. " Daniel ", < U > Expositor's </ u >.

7 ( Zondervan, 1985 ): 15 ; he cites Harrison, R. K. < U > Introduction to the Old Testament </ u >.

* → < ( less-than sign, U + 003C )

In total, Côte d ' Ivoire comprises 322, 460 km < sup > 2 </ sup >, of which 318, 000 km < sup > 2 </ sup > is land and 4, 460 km < sup > 2 </ sup > is water, which makes the country slightly larger than the U. S. state of New Mexico, or about the size of Germany.

Different isotopes of a given element are distinguished by their mass numbers, which are conventionally written as a super-index on the left hand side of the atomic symbol ( e. g., < sup > 238 </ sup > U ).

IUPAC prefers that isotope symbols be written in superscript notation when practical, for example < sup > 12 </ sup > C and < sup > 235 </ sup > U. However, other notations, such as carbon-12 and uranium-235, or C-12 and U-235, are also used.

More generally, compact sets can be separated by open sets: if K < sub > 1 </ sub > and K < sub > 2 </ sub > are compact and disjoint, there exist disjoint open sets U < sub > 1 </ sub > and U < sub > 2 </ sub > such that and.

For any topological space X the ( Alexandroff ) one-point compactification αX of X is obtained by adding one extra point ∞ ( often called a point at infinity ) and defining the open sets of the new space to be the open sets of X together with the sets of the form G < font face =" Arial, Helvetica "> U </ font >

Alperin showed that the Sylow subgoup must be dihedral, quasidihedral, wreathed, or a Sylow 2-subgroup of U < sub > 3 </ sub >( 4 ).

The first case was done by the Gorenstein – Walter theorem which showed that the only simple groups are isomorphic to L < sub > 2 </ sub >( q ) for q odd or A < sub > 7 </ sub >, the second and third cases were done by the Alperin – Brauer – Gorenstein theorem which implies that the only simple groups are isomorphic to L < sub > 3 </ sub >( q ) or U < sub > 3 </ sub >( q ) for q odd or M < sub > 11 </ sub >, and the last case was done by Lyons who showed that U < sub > 3 </ sub >( 4 ) is the only simple possibility.

When heavy metals or radionuclides form their own pure colloids, the term " Eigencolloid " is used to designate pure phases, e. g., Tc ( OH )< sub > 4 </ sub >, U ( OH )< sub > 4 </ sub >, Am ( OH )< sub > 3 </ sub >.

Alaska has a longer coastline than all the other U. S. states combined .< ref >

:< math > U +

In 2002, fighting Abu Sayyaf became a mission of the American military's Operation Enduring Freedom and part of the U. S. War on Terror .< ref >

Although officially declassified, the original film taken by U. S. Corona spy satellite in the 1960s has been altered prior to declassification ; in answer to freedom of information queries, the government responds that these exposures ( which map to Groom and the entire NAFR ) appear to have been destroyed .< ref >

In 2010, Lamo became embroiled in the WikiLeaks scandal involving Bradley Manning, who was arrested after Lamo reported to federal authorities that Manning had leaked hundreds of thousands of sensitive U. S. government documents .< ref >

* → > ( greater-than sign, U + 003E )

The land went through several administrative changes before becoming an organized ( or incorporated ) territory on May 11, 1912, and the 49th state of the U. S. on January 3, 1959.

Gen. Lloyd Tilghman surrendered the 94 remaining officers and men of his approximately 3, 000-man force which had not been sent to Fort Donelson before U. S. Grant's force could even take up their positions.

U. S. Secretary of State Colin Powell launched the talks on April 3, 2001, and the negotiations continued with mediation by the U. S., Russia, and France until April 6, 2001.

The U. S. Library of Congress has a collection of 3, 000 versions of and songs inspired by " Amazing Grace ", some of which were first-time recordings by folklorists Alan and John Lomax, a father and son team who in 1932 traveled thousands of miles across the South to capture the different regional styles of the song.

He reprised resolutions for constitutional amendments to provide for 1 ) the direct election of the president, rather than by the electoral college, 2 ) the direct election of U. S. Senators, rather than by state legislatures and 3 ) the limiting of judges ' terms to twelve years.

* Inge, M. Thomas, " Li ' l Abner, Snuffy and Friends " from Comics and the U. S. South, pp. 3 – 27 ( 2012 ) Univ.

An agreement with Western Union required that U. S. company to route messages in a specified ratio of 3: 1, with three telegraphic messages transmitted to Canadian National for every message transmitted to Canadian Pacific.

( 1987 ) Uranometria 2000. 0, Willmann-Bell, Inc., Richmond, Virginia, U. S. A., 3 volumes, hardcover.

However, with the exception of the Grammy Award-winning " Nightshift " (# 3 in the U. S., a tribute to Marvin Gaye and Jackie Wilson ; in 2010 a new version was recorded dedicated to Michael Jackson ), the band never achieved the same level of success it had enjoyed with Richie.

North-south U. S. Route 3 serves as Concord's Main Street, while U. S. Route 202 and New Hampshire Route 9 cross the city from east to west.

On 24 January 2005 it was announced that Mandrakesoft had acquired Conectiva for 1. 79 million euro ( 2. 3 million U. S. dollars at the time ).

Recorded prevalence of the disease in opossums in the U. S. ranges from 8. 3 % to 37. 5 %.

The case is scheduled for trial by the U. S. District Ct. in Los Angeles July 3, 2012.

There is also Combined Joint Task Force-Horn of Africa, a U. S. force of more than 3, 500, currently deployed in the country at Camp Lemonnier.

In 2002, Djibouti agreed to host a U. S. military presence at Camp Lemonnier, a former French Foreign Legion base outside the capital that now houses approximately 3, 500 American personnel.

in light of the Jordan curve theorem and the generalized Stokes ' theorem, F < sub > γ </ sub >( z ) is independent of the particular choice of path γ, and thus F ( z ) is a well-defined function on U having F ( z < sub > 0 </ sub >)

The product topology on X is the topology generated by sets of the form p < sub > i </ sub >< sup >− 1 </ sup >( U ), where i in I and U is an open subset of X < sub > i </ sub >.

If one considers a version of QCD with N < sub > f </ sub > flavors of massless quarks, then there is a global ( chiral ) flavor symmetry group SU < sub > L </ sub >( N < sub > f </ sub >) × SU < sub > R </ sub >( N < sub > f </ sub >) × U < sub > B </ sub >( 1 ) × U < sub > A </ sub >( 1 ).

The vector symmetry, U < sub > B </ sub >( 1 ) corresponds to the baryon number of quarks and is an exact symmetry.

The axial symmetry U < sub > A </ sub >( 1 ) is exact in the classical theory, but broken in the quantum theory, an occurrence called an anomaly.

: U < sub > i </ sub >< sup > n </ sup >( x )

S ( U < sub > 2 </ sub >< sup > 3 </ sup >( b, c, a )