Using the one-point compactification, one can also easily construct compact spaces which are not Hausdorff, by starting with a non-Hausdorff space.

Using their magic, the three sisters incite fear and confusion among the Fir Bolg army, conjuring " compact clouds of mist and a furious rain of fire " and allowing their enemies " neither rest nor stay for three days and nights ".

Using optimizers such as OptiMax or core-step optimizer tools, a more compact and efficient warrior can be created.

Using the Haar measure, one can define a convolution operation on the space C < sub > c </ sub >( G ) of complex-valued continuous functions on G with compact support ; C < sub > c </ sub >( G ) can then be given any of various norms and the completion will be a group algebra.

Using a theorem of Schwartz on compact operators in Frechet spaces, Cartan and Serre proved that compact complex manifolds have the property that their sheaf cohomology for any coherent sheaf consists of vector spaces of finite dimension.

Using a powder compact, he fashioned a small house for the tiny doll.

Using these compact bogies resulted in such a significant decrease in the relative movement between body and bogies, and it became possible to run the connecting cables to the motor outside of the ventilation ducts.

Using this for inspiration, the company made its first car, the Präsident, which was exhibited in 1897 in Vienna.

Using the Orient Express as a plot device came from two sources: Fleming had returned from the Istanbul conference in 1955 on the train, but found the experience drab, partly because there was no restaurant car.

Using a car that Sal Boca's brother Lou ( Benny Marino ) picked out, the criminals conceal the money.

Using Ford's 2. 5 litre version of the V6 Essex engine meant that the car could still reach speeds of over 110 mph, have slightly better mpg, but ultimately reduce the cost to the public by approx £ 120.

Using car bombs aimed at the headquarters of the Palestine Post, the Ben Yehuda Street market and the backyard of the Jewish Agency's offices, they killed 22, 53 and 13 Jewish people respectively.

Using its inventory of easy-to-service Ford mechanicals built up during World War II and bodywork of Allard's own design, three post-war models were introduced: the J, a competition sports car ; the K, a slightly larger car intended for road use, and the four seater L. Sales were fairly brisk for a low-volume car, and demand was high for cars in general, which led to the introduction of several larger models, the M and N.

Using a motorbike found in David's car, Jack manages to get himself and the semi-conscious Charley to the safety of the airlock before he falls unconscious again.

Using a piezoelectric polymer that will deform when exposed to a specific electric field broadcast from a key fob ( like a car alarm ) the valve will open or close, preventing the passage of sperm, but not seminal fluid.

Using standard lock picking to start a car is now usually ineffective, since most cars now use electronic chip or transponder verification.

Using a 20 mi / gallon car with 1. 8 people as a comparison, travel by car is typically 97 km / h ( 60 mph ) and uses 4 megajoules per passenger mile.

Using a facility of XM Radio service, the system could send a variety of messages to the car, including service appointment reminders ( appointments first made via Internet ) or important messages such as recall notices.

Using the DMG-Phoenix, Jellinek easily won all the races, reaching, but he was still not satisfied with the car.

Using the optional magnetic card system, players can save a customized car and their progress for future sessions ; otherwise, game progress is lost.

Using the pretext that he was studying for Staff College examinations, he borrowed from the Aldershot Military Library specifications and photographs of an experimental tank ( the Vickers A1E1 Independent ) and a new automatic rifle, and notes on the organisation of tank and armoured car units.

Using the hostages as shields, the gang marched out to their car, taking a woman, the bank president and an officer with them.

** By shuttle buses: Using the shuttle to the terminal, and then using the terminal's shuttle to the rental car facility shuttle

Example: Using a photograph of a car wreck to promote safe driving, making it visible to the target viewers.

Using his engineering background and immaculate attention to detail, and by cannibalising sister car R6B for spares, Gerard managed to get R4A running in time for the Cockfosters demonstration in mid-1945.

Using the car park and boarding by the Malta Inn, the MV Kentish Lady carries shoppers to Maidstone and back.

Using a car built by former Emeryson designer Paul Emery and an old Coventry Climax engine, they participated in a single Grand Prix.

Using the familiar cartesian basis, a vector A is written ;

Using this simple program as a basis, computer science principles or elements of a specific programming language can be explained to novice programmers.

Using a common set of dimensions provides a consistent basis for assessing performance and enables the comparison of performance across jobs.

Using the chosen basis, we may write

Using LISP as the programming basis, Carl Engelman created MATHLAB in 1964 at MITRE within an artificial intelligence research environment.

Using fMRI, Van Veen and colleagues investigated the neural basis of cognitive dissonance in a modified version of the classic induced compliance paradigm.

Using a standard monomial basis for our interpolation polynomial we get the very complicated Vandermonde matrix.

Using these polynomials as a basis for we have to solve

Using a standard monomial basis for our interpolation polynomial we get the Vandermonde matrix.

Using US midshipman or pre-fleet board UK midshipman as the basis for comparison, the equivalent rank would be a naval cadet in training to become a junior commissioned officer.

Using a wavelet transform with Haar basis functions, the Gibbs phenomenon does not occur in the case of continuous data at jump discontinuities, and is minimal in the discrete case at large change points.

Using these operators he was able to classify different phases of QCD, which form the basis of the QCD phase diagram.

Using Cheng-Zhu Neo-Confucian philosophy as the basis of his anti-Buddhist polemic, he criticized Buddhism in a number of treatises as being corrupt in its practices, and nihilistic and antinomian in its doctrines.

Using these ideas as a basis, he created the first soil classification.

Using company balance sheets, tax data and direct surveys as a basis, government statisticians estimate total investments and assets for the purpose of national accounts, national balance of payments and flow of funds statistics.

Using the orthogonality relations derived above, we find that the q characters for the q inequivalent irreducible representations forms a basis set.

Using the method that her mentor, Stanford Psychology Professor Lewis Terman, had developed for differentiating children in terms of intelligence, Cox coded records of childhood and adolescent achievements of 301 historic eminent leaders and creators to estimate what their IQs would have been on the basis of intellectual level of such achievements relative to the age at which they were accomplished.

Using innovative ideas such as extended foreign study, community-based active research, and authentic assessment, a portfolio-based undergraduate learning curriculum was developed which rejected traditional summative grades or the accumulation of credits as the basis of degree completion.

Using a dual basis can provide a way to easily communicate between devices that use different bases, rather than having to explicitly convert between bases using the change of bases formula.

Using this concept as a basis, the character's ability to tap into the Speed Force was used to expand his abilities.

:" Using Nature as our basis for design, a building or design must grow, as Nature grows, from the inside out.

Using the lines of his friend Eugenio Cardinal Pacelli, as written in Opus Justitiae Pax and Justitia fundamentum Regnorum, von Galen noted that " Peace is the work of Justice and Justice, the basis for dominion ," then attacked the Third Reich for undermining justice, the belief in justice and for reducing the German people to a state of permanent fear, even cowardice.

Using the Universal Serial Bus ( USB ) as the basis for all phidgets, the complexity is managed behind an Application Programming Interface ( API ).

Using Pitt's surmises as a basis for action, the inspector launches a campaign to capture as many distributors of heroin in the United States as possible.