* Every non-empty Baire space is of second category in itself, and every intersection of countably many dense open subsets of X is non-empty, but the converse of neither of these is true, as is shown by the topological disjoint sum of the rationals and the unit interval 1.

where S ( n, k ) is a Stirling number of the second kind, i. e., it is the number of partitions of a set of size n into k disjoint non-empty subsets.

There are also second, third, etc., Brillouin zones, corresponding to a sequence of disjoint regions ( all with the same volume ) at increasing distances from the origin, but these are used less frequently.

Then there is the second concept Phase that is also be divided two sub concepts with a complete and disjoint ordering.

If two curves are not linked, then it is possible to find a disk in space, bounded by the first curve and disjoint from the second curve, and conversely if such a disk exists then the curves are necessarily unlinked.

The second level of semantic decomposition comes within the analysis domain where system requirements are modelled, and grouped, around specific, disjoint, subject matter ontologies.

In conformity with this conclusion a higher trace gallium content was found in the portion ( flange ) that has undergone a second melting.

In the non-USSR annexed portion of Poland, less than a third of Poland's population voted in favor of massive communist land reforms and industry nationalizations in a policies referendum known as " 3 times YES " ( 3 razy TAK ; 3xTAK ), whereupon a second vote rigged election was held to get the desired result.

* The reinforce: This portion of the piece is frequently divided into a first reinforce and a second reinforce, but in any case is marked as separate from the chase by the presence of a narrow circular reinforce ring or band at its foremost end.

Delaware is located in the northeastern portion of the Delmarva Peninsula and is the second least extensive, the sixth least populous, but the sixth most densely populated of the 50 United States.

Equipment from the Soviet Union is being progressively replaced by more modern U. S., French, and British equipment, a significant portion of which is built under license in Egypt, such as the M1A1 Abrams tank which makes Egypt the owner of the second largest number of latest generation main battle tanks in the region after Israel, and the second after Syria in case of the older generations.

In the second piece, a character explains that he is writing his portion because another had observed to him that the events surrounding the disappearance of a certain moonstone might reflect poorly on the family, if misunderstood, and therefore he was collecting the true story.

India has remained one of its biggest trading partners ; in addition India has deep social and historical links with a large portion of the population of Mauritius, India is the country's second largest source of foreign assistance.

Thus, the physical portion of the boat that is below water can be regarded as functioning as a " second sail.

In 1853 the law was again amended to allow the indentured labourers to re-indenture themselves for a second five-year term or, if they wished, to commute any portion of their contract by repayment of a proportionate part of their indenture fee. Newly arrived indentured India ns in Trinidad and Tobago

In 1992, in New York v. United States, 505 U. S. 144 ( 1992 ), for only the second time in 55 years, the Supreme Court invalidated a portion of a federal law for violating the Tenth Amendment.

** Extended portion of Sanyo Shinkansen between Okayama Station and Hakata Station opens, thus making Shinkansen reaching second island, Kyushu, Japan.

* January 29 – After a second petition for partition from its residents, the North Carolina General Assembly abolishes Bute County, North Carolina ( established 1764 ) by dividing it and naming the northern portion Warren County ( for Revolutionary War hero Joseph Warren ) and the southern portion Franklin County ( for Benjamin Franklin ).

They comprise the first portion of the 1948 Universal Declaration of Human Rights ( with economic, social and cultural rights comprising the second portion ).

The second antitoxin is heptavalent ( A, B, C, D, E, F, G ) Botulinum Antitoxin which is derived from " despeciated " equine IgG antibodies which have had the Fc portion cleaved off leaving the F ( ab ') 2 portions.

However, the complete theory of the Abbe sine condition shows that if a lens is corrected for coma and spherical aberration, as all good photographic objectives must be, the second principal plane becomes a portion of a sphere of radius f centered about the focal point, ..." In this sense, the traditional thin-lens definition and illustration of f-number is misleading, and defining it in terms of numerical aperture may be more meaningful.

* ( d ) operates at 4000 48 bit frames per second, i. e., 192 kbit / s, with a user portion of 36 bits per frame, i. e., 144 kbit / s.

When calling Colorado, the local time announcement begins at the next 5 second interval, which means that the seconds portion of the times announced depends on the time of the call, and that there is a 1 in 3 chance, as shown in the table, of there being no beep at the top of each minute, which is what most watches and clocks require to synchronize.

1 Chronicles explains the second Goliath by saying that Elhanan " slew Lahmi the brother of Goliath ", apparently constructing the name Lahmi from the last portion of the word " Bethlehemite " (" beit-ha ’ lahmi ").

The derivation of the Navier – Stokes equations begins with an application of Newton's second law: conservation of momentum ( often alongside mass and energy conservation ) being written for an arbitrary portion of the fluid.

The first term in the right-hand side represents the net electromagnetic energy flow into a small volume, while the second term represents the subtracted portion of the work done by free electrical currents that are not necessarily converted into electromagnetic energy ( dissipation, heat ).

The model for hyperbolic geometry was answered by Eugenio Beltrami, in 1868, who first showed that a surface called the pseudosphere has the appropriate curvature to model a portion of hyperbolic space, and in a second paper in the same year, defined the Klein model which models the entirety of hyperbolic space, and used this to show that Euclidean geometry and hyperbolic geometry were equiconsistent, so that hyperbolic geometry was logically consistent if and only if Euclidean geometry was.

* In the second main variety of gland the secretory portion is enlarged and the lumen variously increased in size.

Because of space constraints, NARA opened a second facility, known informally as Archives II, in 1994 near the University of Maryland, College Park campus ( 8601 Adelphi Road, College Park, MD, 20740-6001 ).

U of C's faculties include the Schulich School of Engineering, the Haskayne School of Business, Kinesiology, a medical school ( MD ), a law school ( Juris Doctor ), and, starting in 2008, Western Canada's second veterinary school.

The second road, Veirs Mill Road ( MD Route 586, named after a grist and sawmill built on Rock Creek by Samuel Clark Veirs in 1838 ), was one portion of a much longer thoroughfare connecting westwards to Rockville, Maryland and thence towards the Potomac River and subsequently to Virginia via ferry crossings.

Commander Katherine Pulaski, MD ; played by Diana Muldaur, is the replacement chief medical officer for Dr. Beverly Crusher during the second season of the television series Star Trek: The Next Generation.

This helped Don Catlin, MD, the founder and then-director of the UCLA Olympic Analytical Lab, to identify and develop a test for THG, the second reported designer anabolic steroid.

The ATU and Good Jobs First convened a second boot camp for transit advocates in Silver Spring, MD in March 2011.

* 2009: Roy Rogers opens a second location in Germantown, MD ( Fox Chapel Shopping Center ) on January 28, 2009 in a former Wendy's.

He entered his second year of medical school at the University of Chicago in 2009, becoming at age 21 the youngest person to graduate with an MD from the University of Chicago.

Lars Paaske played well on National ground, winning the Denmark Open MD title with Jonas Rasmussen in 2004 and 2006 and in 2007 they came second.

Until 10 September 2005, he also wrote a second weekly column, under the pseudonym " Smallweed " ( and occasionally under anagrams, such as " Dame Wells ", and " Lee Laws MD ").

While she failed her first exam to fully become a doctor, she passed on her second try, and she earned her MD in the Season 10 finale.

The first runner up teen was Monet Jackson, a resident of Mitchellville, MD, and Destiny Welch second runner up also a MD resident.

MD 200 turns more eastward, running towards North Branch Stream Valley Park, and passing over the north branch of Rock Creek and a second stream over a bridge.

The route travels though the park for a stretch, bridging the Northwest Branch three times ( the second bridge also carries MD 200 over Bonifant Road ), exits the park, and then turns eastward, passing under Notley Road.

The revived MD technology was now in its second generation with improved electronic engine controls enabling the switch from 4 to 2 cylinders to be made almost imperceptibly.

He currently lives in Ashburn, Virginia with his estranged and dentally challenged wife, Teresa, and their two daughters, and has a second home in Ocean City, MD where he enjoys body surfing, volleyball, watching Red Sox highlights, and angling.

The phrase is located on the second monument of the Point Lookout Confederate Cemetery in Point Lookout, MD, and at the Confederate Cemetery in the Manassas National Battlefield Park.

MD 4 and MD 2 separate at Sunderland, with MD 4 heading northwest as Southern Maryland Boulevard to a second crossing of the Patuxent River near Upper Marlboro.

MD 4 makes its second crossing of the Patuxent River on Hills Bridge and enters Prince George's County, where its name changes to Pennsylvania Avenue.

By 1985, KWOD was the second rated station in the 12 + age demographic under the programming of PD Tom Chase and MD Mr. Ed Lambert behind cross-town KSFM.

In the next step of the procedure William Kostuk, MD, Professor of Cardiology of the University of Western Ontario, completed an angioplasty revascularization on the patient's second occluded coronary vessel.