Although the Atanasoff – Berry Computer was an important step up from earlier calculating machines, it was not able to run entirely automatically through an entire problem.

Although this problem seems easier, it has been shown that if there is a practical ( randomized polynomial-time ) algorithm to solve this problem, then all problems in NP can be solved just as easily.

Although player characters are substantially weaker than many of the dangers they face, the game is one of the first to encourage problem solving and outwitting obstacles, rather than out-fighting them.

Although counting the number of elements in a set is a rather broad mathematical problem, many of the problems that arise in applications have a relatively simple combinatorial description.

Although it is widely accepted that Descartes explained the problem cogently, few later philosophers have been happy with his solution, and his ideas about the pineal gland have especially been ridiculed.

Although the statement of the theory in terms of graphs may imply perturbation theory, use of graphical methods in the many-body problem shows that this formalism is flexible enough to deal with phenomena of nonperturbative characters ...

Although the problem is not known to be in NC, parallel algorithms with time superior to the Euclidean algorithm exist ; the best known deterministic algorithm is by Chor and Goldreich, which ( in the CRCW-PRAM model ) can solve the problem in O ( n / log n ) time with n < sup > 1 + ε </ sup > processors.

* Although the mean speed of the electron in hydrogen is only 1 / 137th of the speed of light, many modern experiments are sufficiently precise that a complete theoretical explanation requires a fully relativistic treatment of the problem.

Although the,, and points are nominally unstable, it turns out that it is possible to find stable periodic orbits around these points, at least in the restricted three-body problem.

Although this appears a challenging problem given current resources, many tools will be available to help future researchers: Moore's Law predicts further increases in computer power, semiconductor fabrication techniques continue to approach the nanoscale, and researchers grow ever more skilled at using proteins, ribosomes and DNA to perform novel chemistry.

; Although the problem can be solved by using strictly integer subscripts and values, this program is

Although the Bohr model of the hydrogen atom could be explained in this way, the spectrum of the helium atom ( classically an unsolvable 3-body problem ) could not be predicted.

Although examples of " over-provision " like this can be found all over Berlin, it is Potsdamer Platz that, rightly or wrongly, has been used to highlight the problem.

Although many prior adverse practises are now banned, the issues surrounding past exploitation of animal resources in the Svalbard area remain a problem.

Although many consider it a solved problem, useful new sorting algorithms are still being invented ( for example, library sort was first published in 2006 ).

Although expressed as a problem of software design, the second-system effect is observable throughout all human design effort.

Although precipitation is not a limiting factor, the ground freezes during the winter months and plant roots are unable to absorb water, so desiccation can be a severe problem in late winter for evergreens.

Although the use of offset crankpins, counterweights, and flying arms has reduced the problem to a minor second-order vibration in modern designs, all V6s can benefit from the addition of auxiliary balance shafts to make them completely smooth.

Although the presence of street children was a problem in Bucharest in the 1990s, their numbers have declined significantly in recent years, currently lying at or below the average of major European capital cities.

Although CSMA / CA has been used in a variety of wired communication systems, it is particularly beneficial in a wireless LAN due to a common problem of multiple stations being able to see the Access Point, but not each other.

Although Dalton's theory lost credence in his own lifetime, the thorough and methodical nature of his research into his own visual problem was so broadly recognized that Daltonism became a common term for colour blindness.

Although the Standard Model is believed to be theoretically self-consistent, it has several apparently unnatural properties giving rise to puzzles like the strong CP problem and the hierarchy problem.

Although Albert has received relatively little recognition in German history, his dissolution of the Teutonic State caused the founding of the Duchy of Prussia ( and also the Hohenzollern dynasty ), which would eventually become arguably the most powerful German state and instrumental in uniting the whole of Germany.

Although web browsers are arguably the best file viewer, since they support many graphic, multimedia, and document formats, they are likely to always be somewhat lacking in the output quality and feature performance of more specialized software packages.

Although a perennial source of controversy, Aristotle arguably views the latter as both eternal and immaterial in nature, as exemplified in his theology of unmoved movers.

Although Gerald Gardner, a key figure in Wicca, was arguably homophobic this historical aversion is not now commonly held.

Although never Emperor, Henry I the Fowler, Duke of Saxony, was arguably the founder of this imperial dynasty, since his election as German king in 919 made it possible for his son, Otto the Great to take on the imperium.

Although pan-Arabism began at the time of World War I, Egypt, the most populous and arguably most important Arabic-speaking country, was not interested in pan-Arabism prior to the 1950s.

Although Earnhardt was not the first NASCAR driver to die in a wreck, he was arguably more famous than many other drivers that have died.

Although some systems equate subjects with user IDs, so that all processes started by a user by default have the same authority, this level of control is not fine-grained enough to satisfy the Principle of least privilege, and arguably is responsible for the prevalence of malware in such systems ( see computer insecurity ).

Although the Reds won the NL pennant in 1961 and Robinson won his first MVP that year, his best offensive year arguably came in 1962, when he hit. 342 with 51 doubles, 136 RBI and 134 runs.

Although the label's music has never reflected just a single genre or underground music movement, it is arguably most notable for releasing the work of various riot grrrl bands during the mid -' 90s, some of which, especially the aforementioned Bikini Kill, generated a good deal of press attention.

Although the First Wilson Government had enacted a wide range of social reforms and arguably did much to reduce social inequalities during its time in office, the economic difficulties that it faced led to austerity measures being imposed on numerous occasions, forcing the government to abandon some of its key policy goals.

Although the ketch ( and to a much lesser extent, the yawl ) is more popular than the schooner in Europe, the schooner is arguably more efficient.

Although most Shiites do not hold the view that Muhammad's son-in-law Imam Ali was God incarnate, a variety of heterodox Shiite sects collectively called Ghulat ( for " exagerated ")-such as the Alevi, Alawi, Ahl-e Haqq, and more arguably the Bektashi-believe that Imam Ali was God.

Although the record was issued under the group's name, Pet Sounds is arguably seen as a Brian Wilson solo album — Wilson even toyed with the idea by releasing " Caroline, No " as a solo single in March 1966 — reaching no.

Although arguably the most popular form of poetry in the Western tradition is the 14-line sonnet, either in its Petrarchan or its Shakespearean form, lyric poetry appears in a variety of forms.

Although well within the Great Lakes region ( a sub region of the Midwest ) and arguably located at the center of the Rust Belt, significant influences from New England and the South have contributed to New London's cultural identity.

Although they are now a staple food, and arguably a downmarket one, the store continues the tradition of selling Heinz Beans among its more expensive wares.

Although Santayana was not a pragmatist in the mold of William James, Charles Sanders Peirce, Josiah Royce, or John Dewey, The Life of Reason arguably is the first extended treatment of pragmatism written.

Although arguably not liens as such, two other forms of encumbrance are sometimes referred to as liens.

Although the school's founding could arguably be dated to other years, the school itself marks 1921 as the year of its establishment.

Although Dirty Harry is arguably Clint Eastwood's signature role, he was not a top contender for the part.

Although arguably under Missouri law Mel Carnahan could not win, since he was dead and therefore did not " live " in the state, and Ashcroft actually won ( receiving the most votes of the legally qualified candidates ), Ashcroft did not contest the election certification of the Democratic Secretary of State, possibly because no legal precedent had been set.

Although the paper that introduced key stretching referred to this earlier technique and intentionally chose a different name, the term " key strengthening " is now often ( arguably incorrectly ) used to refer to key stretching.

Although he arguably should have made it his business to know before helping Dean in any way, once he did know for certain that the White House was somehow involved he was no longer a predictable and reliable ally they could count on.