As S approaches T the square will be outside C and therefore both Af and Af must cross C an odd number of times as S varies from zero to T.

Criteria for civil commitment are established by law, which varies between nations, in the U. S., from state to state, and in Canada, from province to province.

Tax Freedom Day varies among the 50 U. S. states, as incomes and state & local taxes differ from state to state.

Triangulum Australe contains several cepheid variables, all of which are too faint to be seen with the naked eye: R Trianguli Australis which ranges from apparent magnitude 6. 4 to 6. 9 over a period of 3. 389 days, S Trianguli Australis ranges from apparent magnitude 6. 1 to 6. 8 over a period of 6. 323 days, and U Trianguli Australis varies from 7. 5 to 8. 3 over 2. 568 days.

Since each individual's tolerance to lactose varies, according to the U. S. National Institutes of Health ( NIH ), " Dietary control of lactose intolerance depends on people learning through trial and error how much lactose they can handle.

Dependent on local climate, which is affected by the distance to the sea, the exposition and the latitude ( from 23 ° N to 25 ° S ), the altitude varies from 500 m to 4000 m above sea level.

The determination of alimony varies greatly from country to country and from state to state within the U. S. Some state statutes, including those of Texas, Montana, Kansas, Utah, Kentucky and Maine, give explicit guidelines to judges on the amount and / or duration of alimony.

Winter varies from mild to chilly by U. S. standards, with lighter rain showers of longer duration.

The U. S. National Center for Complementary and Alternative Medicine has issued an advisory indicating the marketing claims made about colloidal silver are scientifically unsupported, the silver content of marketed supplements varies widely, and colloidal silver products can have serious side effects to the consumer, including " argyria ,... neurologic problems ( such as seizures ), kidney damage, stomach distress, headaches, fatigue, and skin irritation.

The situation in the courts of the various U. S. states varies from state to state but is often similar to that in the federal courts.

This varies by location, for example some U. S. states offer " practice acts " and some offer " title acts ".

In some countries, the highest degree in a given field is called a terminal degree, although this is by no means universal ( the term is not in general use in the UK, for example ), practice varies from country to country, and a distinction is sometimes made between terminal professional degrees and terminal research degrees ( such as the J. S. D., or S. J. D.

Breeding season varies, occurring in winter in tropical areas ( north of 26 < sup > o </ sup > S ) and late spring in parts of southern Australia.

For most wings the length of the chord is not a constant but varies along the wing, so the aspect ratio AR is defined as the square of the wingspan b divided by the area S of the wing planform, which is equal to the length-to-breadth ratio for a constant chord wing.

What constitutes " small " in terms of government support and tax policy varies by country and by industry, ranging from fewer than 15 employees under the Australian Fair Work Act 2009, 50 employees in the European Union, and fewer than 500 employees to qualify for many U. S. Small Business Administration programs, although in 2006 there were over 18, 000 " small businesses " with over 500 employees that accounted for half of all the employees employed by all " small business ".

This has the disadvantage that the generator's output rate varies irregularly, and in a way that hints at the state of S ; this problem can be overcome by buffering the output.

While all E-1's in the Coast Guard are called seaman recruits regardless of their assignment, the actual title for an E-1 in the U. S. Navy varies based on the community to which the sailor belongs:

Their range varies from Mexico in the winter to as far north as Alaska, throughout the western U. S. and Canada.

Usage of Black Friday Advertising Tip sites and buying direct varies by state in the U. S., influenced in large part by differences in shipping costs and whether a state has a sales tax.

Untreated sewage varies, but averages around 600 mg / L in Europe and as low as 200 mg / L in the U. S., or where there is severe groundwater or surface water Infiltration / Inflow.

Equipment used varies widely in this field, but surface supplied equipment though quite uncommon in the UK is growing in popularity in the U. S. The short number of dives made by scientific divers in normally quite shallow water, and the UK governmental regulations that make surface supplied equipment cumbersome, when combined with a need for easy transportation make surface supplied gear uneconomic and undesirable for UK scientists to use.

During the period from 1 July 1960 through 31 January 1961, the Medical Museum was required to move to Temporary Building `` S '' on the Mall from Chase Hall.

On C, from the point P at Af to the point Q at Af, we construct the chord, and upon the chord as a side erect a square in such a way that as S approaches zero the square is inside C.

Lincoln also supported the Wilmot Proviso, which, if it had been adopted, would have banned slavery in any U. S. territory won from Mexico.

In late 1854, Lincoln ran as a Whig for the U. S. Senate seat from Illinois.

He argued before and during his election that the eventual extinction of slavery would result from preventing its expansion into new U. S. territory.

* Anti-Deficiency Act, U. S. law that prohibits the federal government from incurring debts not authorized by Congress

* In 1965, Robert Manry crossed the Atlantic from the U. S. to England non-stop in a 13. 5 foot ( 4. 05 meters ) sailboat named " Tinkerbell ".

* Much of the material in this article comes from the CIA World Factbook 2000 and the 2003 U. S. Department of State website.

* Much of the material in these articles comes from the CIA World Factbook 2000 and the 2003 U. S. Department of State website.

In 1826 Johnston graduated eighth of 41 cadets in his class from West Point with a commission as a brevet second lieutenant in the 2nd U. S. Infantry.

The experiment showed that after removing this bacteria, healthy bacteria was able to move in and replace the habitat and preventing S. mutans from regrowing.

Hence S breaks up into uncountably many orbits under G. Using the axiom of choice, we could pick a single point from each orbit, obtaining an uncountable subset X of S with the property that all of its translates by G are disjoint from X.

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 ).

At the American publisher's insistence, Burgess allowed their editors to cut the redeeming final chapter from the U. S. version, so that the tale would end on a darker note, with Alex succumbing to his violent, reckless nature — an ending which the publisher insisted would be ' more realistic ' and appealing to a U. S. audience.

Due to his western successes, Ulysses S. Grant was given command of all Union armies in 1864, and organized the armies of William Tecumseh Sherman, George Meade and others to attack the Confederacy from all directions, increasing the North's advantage in manpower.

The monthly changes in the currency component of the U. S. money supply show currency being added into (% change greater than zero ) and removed from circulation (% change less than zero ).

Various reasons have been suggested for the resistance to the Celsius system in the U. S., including the larger size of each degree Celsius ( resulting in the need for decimals where integer Fahrenheit degrees were adequate for much non-technical work ), the lower zero point in the Fahrenheit system ( which reduces the number of negative signs when measurements such as weather data were averaged ), and the more intuitive alignment of its 0-100 scale to the ordinary range of outdoor temperatures seen in most of the U. S. ( e. g., 0 ° F

The double zero wheel is found in the U. S., Canada, South America, and the Caribbean, while the single zero wheel is predominant elsewhere.

From a thermodynamics point of view, at the melting point the change in Gibbs free energy ( ΔG ) of the material is zero, but the enthalpy ( H ) and the entropy ( S ) of the material are increasing ( ΔH, ΔS > 0 ).

That is not the case, so f is not injective, and for some pair of points in S. Moreover, we know from the definition of f that for some integers i and j, where i and j are not both zero.

lies in S. ( i, j ) is a lattice point, and is not the origin since i and j are not both zero, and so we have found the point we're looking for.

L < sub > S </ sub > ≤ L < sub > D </ sub > is the full employment situation, one in which the rate of unemployment is zero or negative ( corresponding to a labor shortfall ).

An example of zero coupon bonds is Series E savings bonds issued by the U. S. government

* The sphere S < sup > 2 </ sup > and a disc both have genus zero.

Since 1979, Passive Solar Building Design has been a critical element of achieving zero energy by educational institution experiments, and governments around the world, including the U. S. Department of Energy, and the energy research scientists that they have supported for decades.

Because of this, zero coupon bonds subject to U. S. taxation should generally be held in tax-deferred retirement accounts, to avoid paying taxes on future income.

Alternatively, when purchasing a zero coupon bond issued by a U. S. state or local government entity, the imputed interest is free of U. S. federal taxes, and in most cases, state and local taxes, too.

These properties are labeled in the U. S. as a decimal between zero and one, with lower numbers indicating lower heat transfer rates.

where the s < sub > i </ sub > are elements of S, adjacent s < sub > i </ sub > are distinct, and a < sub > i </ sub > are non-zero integers ( but n may be zero ).

To obtain the absolute value, we need the Third Law of Thermodynamics, which states that S = 0 at absolute zero for perfect crystals.

A leading zero, for example in " runway zero six " or " runway zero one left ", is included for all ICAO and some U. S. military airports ( such as Edwards Air Force Base ).