Fortunately, there are often large regions of a flow where the assumption of irrotationality is valid, which is why potential flow is used for various applications.

Fortunately, our solar system is much less populated with large objects today and the probability of such an event happening is essentially zero, as the larger asteroids in the asteroid belt and the giant comets in the Kuiper belt that are in this size range are in stable orbits that will not enter the inner solar system, let alone intersect the orbit of Earth, with no observed exceptions.

Fortunately, this large event happened between the Apollo 16 and Apollo 17 lunar missions.

Fortunately for Ashton-Tate, large corporations were standardizing on dBASE.

Fortunately, his show's good ratings roused the attention of a large sponsor ; that sponsor was Molson Canadian.

Fortunately, these problems have become to large extent controlled since 1980s.

Fortunately, grain tonnage was increasing, and the company transported large quantities from Buffalo to Philadelphia and other Eastern markets.

Fortunately, these lenses are large, often crudely designed mechanically ( if not optically ) and therefore easy to fix.

Fortunately, some of the troops were able to get the attention of the gunners on the ships by waving a large American flag, and the bombardment stopped with no further harm done.

Fortunately for him, he was wearing a hat that was too large and stuffed with papers to make it fit.

Fortunately, Admiral Ackbar suspected a trap and brought secret reinforcements, including a large commando force.

Fortunately the number of pathological bigots appears to be quite small, but it would be a mistake to think that more than a matter of degree separates them from the rest of us.

" Fortunately for Tate and his wife, Lowell soon settled into the so-called " writer's house " ( a dorm that received its nickname after it had accrued a number of ambitious young writers ) with fellow students Peter Taylor, Robie Macauley and Randall Jarrell .< ref > McAlexander, Hugh, " Peter Taylor: The Undergraduate Years at Kenyon ," The Kenyon Review, New Series, Vol.

Fortunately, a number of US Navy and Marine radiotelegraph operators operating in the Pacific had formed an informal group in 1923 to compare notes on Japanese kana transmissions.

Fortunately, the conjugate gradient method can be used as an iterative method as it provides monotonically improving approximations to the exact solution, which may reach the required tolerance after a relatively small ( compared to the problem size ) number of iterations.

Fortunately for Bagdasarian Productions, the box-office failure of Disney's The Black Cauldron in 1985 had led to the layoff of a number of Disney animators, whom Bagdasarian promptly hired to work on his film.

Fortunately, there are a number of projects specifically working to save this Vulnerable insect.

Fortunately, General Halleck's chief of staff at the scene, Brigadier General George W. Cullum sent many prisoners to St. Louis before he received War Department instructions to direct 7, 000 prisoners to Camp Douglas because the camp and its staff could not even easily handle the smaller number of prisoners that it received.

Fortunately there are a number of such polymers available, with varying properties, including:

Fortunately, even if the base is not destroyed on time, Jetman can still save the day by intercepting, and destroying, the missile in flight, although the number of laser hits required increases with each level.

Fortunately the designers had made provisions in the design to increase the reactor's reactivity ( the number of neutrons per fission that go on to fission other atoms of nuclear fuel ).

Fortunately it spared us from the usual spate of silly resolutions which in the past have made Georgia look like anything but `` the empire state of the South ''.

Fortunately, the embarrassing questions raised by objects do not need to be answered, or we would all have to go sleep in the open fields.

`` Fortunately through our growth studies we have been able to see what nature does, and that helps us know what we can do ''.

Fortunately, faster methods have been developed which require only O ( p ( log p )< sup > 2 </ sup >) operations ( see big-O notation ).

Fortunately, techniques to gather knowledge from an overabundance of electronic information ( e. g., data fusion may help in data mining ) have existed since the 1970s.

Fortunately, the results of the Human Genome Project have largely replaced the need for RFLP mapping, and the identification of many single-nucleotide polymorphisms ( SNPs ) in that project ( as well as the direct identification of many disease genes and mutations ) has replaced the need for RFLP disease linkage analysis ( see SNP genotyping ).

Fortunately for Bacchylidean scholarship, a papyrus came to light in Egypt at the end of the nineteenth century with a text of Greek uncials, which a local claimed to have found in a ransacked tomb, between the feet of a mummy.

Fortunately, however, this is also a time in which the Mayas themselves have begun to salvage and publish the precious tales of their parents and grandparents.

Fortunately it is possible to alter the equation by substituting || w || with ( the factor of 1 / 2 being used for mathematical convenience ) without changing the solution ( the minimum of the original and the modified equation have the same w and b ).

Fortunately for the English, the Dutch marines spared the Chatham Dockyard, England's largest industrial complex ; a land attack on the docks themselves would have set back English naval power for a generation.

Fortunately, recent studies have found a new way of determining what stage of development Silphid larvae are in by measuring the maximum cranial width and other heavily sclerotized areas of the larvae instead of measuring just the length, which is subject to change with each larva, particularly in O. inaequale and N. surinamensis, which are more robust and have greater variations of length respectively.

Fortunately, efforts made to prevent polluting ground water in the region, coupled with the natural regenerative effects of the running water, have largely restored the cave to a pristine condition.

( Fortunately for posterity, both works have survived their unfavorable premieres.

Fortunately, FEMA funds have finally arrived.

Fortunately, D & C algorithms that are time-efficient often have relatively small recursion depth.

Fortunately due to unrelenting research from art historians and archeologists around the world we have been able to uncover some concrete information about this famous Sienese painter.

Fortunately for Quebec, and unfortunately for Victoria, the Stanley Cup Board of trustees did not recognise the challenge because it should have been played in Quebec.

Fortunately, the city reconverted and, although it may not have the same economic dynamism of that epoch, the commercial and industrial areas are a source of employment for many, and the city remains relatively prosperous with 33, 430 inhabitants ( see above ).

Fortunately there have been several compilations of Enochian words made to form Enochian dictionaries which can act as a handy reference.

Fortunately, Keres managed to avoid deportation or any worse fate ( e. g., that of Vladimirs Petrovs ); however, he may have been held in detention ; precise details are difficult to pin down.

Fortunately for both their makers and users, the illnesses that they claimed were cured were almost invariably self-diagnosed, and the claims of the writers to have been healed of cancer or tuberculosis by the nostrum should be considered in this light.

Fortunately for him, the war ended in November, 1918, and he did not have to fight in France.

Fortunately, the two fraternals were able to reconcile their differences during the twentieth century and have coexisted amicably for decades.

Fortunately we do not have to.