In this case, is the smallest σ-algebra that contains the open intervals of R. While there are many Borel measures μ, the choice of Borel measure which assigns for every interval is sometimes called " the " Borel measure on R. In practice, even " the " Borel measure is not the most useful measure defined on the σ-algebra of Borel sets ; indeed, the Lebesgue measure is an extension of " the " Borel measure which possesses the crucial property that it is a complete measure ( unlike the Borel measure ).

While integrating garbage collection into the language's compiler and runtime system enables a much wider choice of methods, post hoc GC systems exist, including some that do not require recompilation.

* Niall Lucy points to the impossibility of defining the term at all, noting that: " While in a sense it is impossibly difficult to define, the impossibility has less to do with the adoption of a position or the assertion of a choice on deconstruction ’ s part than with the impossibility of every ‘ is ’ as such.

While Hadrian may have been the obvious choice as successor, he had never been adopted as Trajan's heir.

While offering choice in coding methodology, the Python philosophy rejects exuberant syntax, such as in Perl, in favor of a sparser, less-cluttered grammar.

While working there she gained her interest in Asia that would later affect her choice of fieldwork as a working anthropologist.

While her parents approved of her college choice, they were dismayed at her lifestyle, and, according to Ono, chastised her for befriending people they considered to be " beneath " her.

While flexible units offer some movement and give between the shafts, rigid couplings are the most effective choice for precise alignment and secure hold.

While this story is not in continuity with the cartoon, it is filled with various in-jokes to aspects of the show, such as Firestar believing Wolverine to be Australian, a reference to an out-of-character voice choice for Wolverine in the episode " A Firestar Is Born ".

While technology choice is important for the development of role clarity, virtual team leaders should be aware that information overload may result in situations when a leader has provided too much information to a team member.

While most of them can only deter the less experienced and determined hackers, SoftICE is no longer a tool of choice for someone new to analysing software.

While it was possibly an overstatement to describe the 1975 position as a choice between evils, neither of the two major political groupings reached the 15 October 1975 crunch position with completely clean hands.

While some of the memorials are considered obligatory, others are optional, permitting a choice on some days between two or three memorials, or between one or more memorials and the celebration of the feria.

While the choice of north over south as prime direction reflects quite arbitrary historical factors, east and west are not nearly as natural alternatives as first glance might suggest.

While some herbivores like zooplankton live on unicellular phytoplankton and have no choice but to kill their prey, many only eat a small part of the plant.

While surgical removal of cysts was the treatment of choice for the previous two types of echinococcosis, chemotherapy is the recommended treatment approach for polycystic echinococcosis.

An alternative definition uses job security as the measure of formality, defining participants in the informal economy as those ' who do not have employment security, work security and social security .” While both of these definitions imply a lack of choice or agency in involvement with the informal economy, participation may also be driven by a wish to avoid regulation or taxation.

While the choice of Cary Grant was almost instantaneous, the casting of Hildy was a far more extended process.

While Boniface was considered the most probable choice, due to his connections with the Byzantine court, Baldwin was young, gallant, pious, and virtuous, one of the few who interpreted and observed his crusading vows strictly, and the most popular leader in the host.

While we abhor and condemn the continuing loss of innocent life in Iraq, we have no choice now but to support the resistance, for if the resistance fails, the " Bush gang " will attack another country.

While the album still presented Nilsson as primarily a songwriter, his astute choice of cover material included, this time, a song by a then-little-known composer named Randy Newman, " Simon Smith and the Amazing Dancing Bear.

While the method of production is entirely the choice of the artist, creators who exclusively or primarily use rubber stamps are occasionally held in contempt by members of the artistamp community, some of whom refer to such producers as " bunny-stampers.

While there are still certain peculiarities in the latter ( especially in terms of intonation, accent and choice of words ), proper Malaysian English is merely a normal variation in the way English is spoken and does not deviate significantly from common English.

Another former prostitute who worked in four different brothels from Nevada attacked the system, saying that " Under this system, prostitutes give up too much autonomy, control and choice over their work and lives " and " While the brothel owners love this profitable solution, it can be exploitative and is unnecessary ".

While his predecessors Thales and Anaximander proposed that the arche, the underlying material of the world, were water and the ambiguous substance apeiron, respectively, Anaximenes asserted that air was this primary substance of which all other things are made.

While the sun is similarly described as being aflame, it is not composed of rarefied air like the stars but rather of earth like the moon ; its burning comes not from its composition but rather from its rapid motion .< ref > Kirk, G. S., J. E.

While the term — literally meaning " sailing the air "— originally referred solely to the science of operating the aircraft, it has since been expanded to include technology, business and other aspects related to aircraft.

While the Reno Air Races keep this tradition alive, most air shows today primarily feature a series of aerial demos of short duration.

If the air mass is colder than the ground below it, it is labeled k. If the air mass is warmer than the ground below it, it is labeled w. While air mass identification was originally used in weather forecasting during the 1950s, climatologists began to establish synoptic climatologies based on this idea in 1973.

* 1960 – 1960 New York air disaster: While approaching New York's Idlewild Airport, a United Airlines Douglas DC-8 collides with a TWA Lockheed Super Constellation in a blinding snowstorm over Staten Island, killing 134.

While in the FA Cup final against Manchester United, United were looking for their first trophy since the Munich air disaster of five years earlier which had claimed the lives of eight of the Busby Babes whom Banks had faced as an adolescent.

While laying the foundation stone of the National Defence Academy ( India ) in 1949, he stated: " We, who for generations had talked about and attempted in everything a peaceful way and practiced non-violence, should now be, in a sense, glorifying our army, navy and air force.

* While the theory correctly reasons that deflection implies that there must be a force on the wing, it does not explain why the air is deflected.

While many of the World Bank mission's recommendations were much argued both locally and internationally this proposal was widely accepted as it was clear that both political and economic advancement depended on greatly improved land, sea and air transport.

While one is working the land, the other is carried upside-down in the air.

While Gute Zeiten, schlechte Zeiten, Unter uns, Verbotene Liebe and Alles was zählt are currently the only daily soaps on the air, the telenovelas Sturm der Liebe and Rote Rosen are considered soaps by the press as well, thanks to the changing protagonists every season.

While pronking, the Springbok repeatedly leaps into the air in a particular stiff-legged posture, with its back bowed and the white fan lifted.

" While the details of the attack are disputed — Michigan claimed it fired no shots and had only discharged a few musket rounds in the air as the Ohio group retreated — the battle further infuriated both Ohioans and Michiganders and brought the two sides to the brink of all-out war.

While they suggest covering just a channel access method ( namely a variant of CDMA ), they are actually the common names for the whole air interface standards.

While the same rule generally applies in all jurisdictions, some countries such as Cuba and Russia have taken advantage of air rights on a national level to earn money.

While in the air, Skalbania worked on the deal.

While in the air the rider attempts to do tricks.

* February 27 – While trying to circumnavigate the world in a hot air balloon, Colin Prescot and Andy Elson set a new endurance record after being aloft for 233 hours and 55 minutes.

While Earth is considered " north "; Fire is " south "; air is " east "; Water is " west ", while Akasha is " center ".

While his wife convalesced in the cool ocean air, President Garfield brought his cabinet to Elberon for consultation and ran the government by telegraph.

While air force jets provided suppressive fire on the mountain top with individual gun runs since Mako 30 was less than north of the peak and Chalk 1 with its downed MH-47 was less than 100 m south of the peak.