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 often criticized for its reliance on existing franchises, the company developed several titles for the Xbox 360 and PlayStation 3 based on original intellectual property: Lost Planet and Dead Rising.

While Gramsci's views argue that culture ( beliefs, perceptions and values ) allows the ruling class to maintain domination, Marx's explanation is along more economic lines, with concepts such as commodity fetishism demonstrating how the ideology of the bourgeoisie ( in this case, the existence of property as a social creation rather than an ' eternal entity ') dominate over that of the working classes.

While the article specifically prohibits discrimination based on " sex, race, colour, language, religion, political or other opinion, national or social origin, association with a national minority, property, birth or other status ", the last of these allows the court to extend to Article 14 protection to other grounds not specifically mentioned such as has been done regarding discrimination based on a person's sexual orientation.

While the Reformer later claimed that it was not his purpose to incite temporal lords to confiscation of the property of the Church, the real tendencies of the propositions remained unconcealed.

While every representation must be implemented in the machine by some data structure, the representational property is in the correspondence to something in the world and in the constraint that

While not against the market and property he was firmly against capitalism as it was, in his eyes, a state-supported monopoly of social capital ( tools, machinery, etc.

While socially utilised means of production are under public control, personal belongings or property of a personal nature that doesn't involve mass production of goods remains relatively unaffected by the state.

While largely populated by young people, surfers, and college students, the population is becoming older, more professional, and more affluent due to rising property and rental costs.

While he doubts this is so, he nonetheless states: “ In his unrelated state, man has a natural right to his property, to his character, to liberty, and to safety .” James Wilson asks whether “ the primary and principal object in the institution of government … was … to acquire new rights by human establishment?

While civil law systems have traditionally put great pains in defining the notion of private property, how it may be acquired, transferred, or lost, socialist law systems provide for most property to be owned by the state or by agricultural co-operatives, and having special courts and laws for state enterprises.

While Boniface was not able to safeguard the church from property seizures by the local nobility, he did achieve one goal, the adoption of stricter guidelines for the Frankish clergy, which often hailed directly from the nobility.

While Hardin recommended that the tragedy of the commons could be prevented by either more government regulation or privatizing the commons property, subsequent Nobel Prize-winning work by Elinor Ostrom suggests that handing control of local areas to national and international regulators can create further problems .< ref name =" non-tragedy ">

While still young, he lost his substantial inherited property when it was confiscated to the king's treasury.

While the children still were young, the Gardners lost their property, forcing Jonas Gardner to work at a sawmill and Mollie to begin working as a cook and housekeeper at a dormitory for teachers at the nearby Brogden School.

While there was no prohibition against premarital sex, children resulting from such liaisons were considered fatherless (" orphans ") and therefore could not inherit property.

The Doge's Palace, Venice | Doge's Palace complex. While doges had great temporal power at first, after 1268, the doge was constantly under strict surveillance: he had to wait for other officials to be present before opening dispatches from foreign powers ; he was not allowed to possess any property in a foreign land.

While his father had frequently confiscated church property to reward his followers and to pay for the standing army that had brought him victory at Tours, ( a policy supported by Boniface as necessary to defend Christianity ) by 742 the Carolingians were wealthy enough to pay their military retainers and still support the Church.

While searching for the lion, Heracles fetched some arrows to use against it, not knowing that its golden fur was impenetrable ; when he found and shot the lion and firing at it with his bow, he discovered the fur's protective property when the arrow bounced harmlessly off the creature's thigh.

While the Nazi party was interested in improving its financial strength on the regional and local level by taking over Jewish property, Hermann Goering, in charge of the Four-Year Plan, hoped to acquire access to foreign currency in order to pay for the import of urgently-needed raw material.

While as governor of New York, Tompkins personally borrowed money and used his own property as collateral when the New York state legislature would not approve the necessary funds for the War of 1812.

While some became planters ( owning 20 slaves or more ), they tended to have property in the upland section of the county.

While Beneš was not a Moscow cadre and several domestic reforms of other Eastern Bloc countries were not part Beneš ' plan, Stalin did not object because the plan included property expropriation and he was satisfied with the relative strength of communists in Czechoslovakia compared to other Eastern Bloc countries.

" While this is an unusual form of trespass, it is submitted that NATO dropping 2, 000-pound bombs on this property was clearly a trespass ".

While five minutes ago the place had presented a scene of easy revelry, with Gyp Carmer a prominent figure, it was now as somnolent and dull as the day before payday.

While his comrades cocked the trap, that one behaved as if it was some dull maneuver.

While she was struggling to get her skirt down and get on her feet again, Jack ran over, offered her his hand and said, `` Gosh, I'm sorry, Miss Langford.

While he was handling the multi-million-dollar funding operations of the Government he had to resort to borrowing small sums from friends.

While convalescing in his Virginia home he wrote a book recording his prison experiences and escape, entitled: They Shall Not Have Me Published originally in ( Helion's ) English by Dutton & Co. of New York, in 1943, the book was received by the press as a work of astonishing literary power and one of the most realistic accounts of World War 2, from the French side.

While this was under consideration, dauntless as ever Wright set about the building of Taliesin 3.

While the picture was taken, Mr. Miller's disposition to be generous to Mr. Sandburg increased to the point where he advised, ' I won't even charge you the one dollar rental fee ' ''.

While I was sitting at one of the rewrite telephones with my derby and my great beard, Arthur Brisbane whizzed in with some editorial copy in his hand.

While the final combat of the campaign was being worked out at Jonesborough, Thomas, on Sherman's instructions, ordered Slocum, now commanding the Twentieth Corps, to make an effort to occupy Atlanta if he could do so without exposing his bridgehead to a counterattack.

While driving the cow back home the woman was assaulted by a servant maid of Gorton.

While he was at it, the philosopher of the Kremlin contributed an additional assist to the rule of reason by bellowing at those in the west who can't appreciate coexistence thru suicide.

While this was being discussed, we saw the militia to the west of us fanning out and breaking into little clusters of two and three men as they approached the road.

While she was thus engaged, McFeeley questioned her about her whereabouts the previous day, any recollections she had of people hanging around, of overcurious delivery boys or repairmen, of strange cars cruising the neighborhood.

While she was settling the teacart, he went back across the hall to their bedroom, opened one of the suitcases, and took out powdered coffee and sugar.

While the regulations formerly required that the hearing officer's report be placed in the registrant's file, this requirement was eliminated in 1952.

While there are now allegations of the withholding of `` favorable evidence developed at the hearing '' and a denial of a `` full and fair hearing '', no such claim was made by petitioner at any stage of the administrative process.

While Mr. Blatz was putting up the pegboards and starting the workbench, Mr. Crombie told him of this idea about paneling the whole end of the cellar.

`` While Henry Morgan was escorting Miss Vera Green from the church social last Saturday night, a savage dog attacked them and bit Mr. Morgan on the public square ''.

While the interpretations that have been given are inferences only, they gain support from such comments as the following, which was made by one of the Kohnstamm-negative subjects who did not, on the first trial, perceive the tilt illusion.

While the Cold War raged it was easy to blame it all on Yalta.

While the method of interviewing a small number of companies was appealing because of the opportunity it might have furnished to probe fully the reasons and circumstances of a company's practices and opinions, it also involved the risk of paying undue attention to the unique and peculiar problems of just a few individual companies.

While he was in custody his wife divorced him.

While accounts of the progress of the tsunami came in from various points in the Pacific ( Midway reported it was covered with nine feet of water ), the Hawaiian station made its calculations and notified the military services and the police that the first big wave would arrive at Honolulu at 23:30 Greenwich time.

While nowadays we recognize the fact that there are many causes for bleeding at the nose, not long ago a nosebleed was simply that, and treatment had little variation.

While women had always attended ball games in small numbers ( it was the part of a `` dead game sport '' in the early years of the twentieth century to be taken out to the ball park and to root, root, root for the home team ), they had often sat in patient martyrdom, unable even to read the scoreboard, which sometimes seemed to indicate that one team led another by a score of three hundred and eighty to one hundred and fifty-one.