With this distance, the set of n-node binary trees becomes a metric space: the distance is symmetric, positive when given two different trees, and satisfies the triangle inequality.

With a cooperative symmetric two-way metering technique, distances can be measured to high resolution and accuracy by compensating for local clock drift and stochastic inaccuracy.

With Ralph Kronig, Francis Bitter, Mark Zemansky and others, he set out to extend the Schrödinger equation to the symmetric top and find the energy states of such a mechanical system.

With the new Slot 1, Intel added support for symmetric multiprocessing ( SMP ).

Once when she is, in a key scene, finally invited by the male members of the country club she gives a toast citing from the song “ With rue my heart is laden ”.

With a key of length n bits, there are 2 < sup > n </ sup > possible keys.

With this method, for example, the character 日 is assigned to the A key, and 月 is assigned to B. Typing them together will result in the character 明 (" bright ").

With the 9 main keys, ( operated by the index, middle, and ring fingers ), 2 prefix keys and one delete key, the EkaPad can produce all the inputs of a standard qwerty keyboard with one, two, and a few three finger chords.

With the key activists of the Nationalist Clubs largely absorbed into the apparatus of the People's Party, Bellamy abandoned politics for a return to literature.

With Raymond Williams and Stuart Hall, he was one of the editors of the 1967 May Day Manifesto, one of the key left-wing challenges to the 1964 – 70 Labour government of Harold Wilson.

With Dewey as the director and his wife as principal, the University of Chicago Laboratory school, was dedicated “ to discover in administration, selection of subject-matter, methods of learning, teaching, and discipline, how a school could become a cooperative community while developing in individuals their own capacities and satisfy their own needs .” ( Cremin, 136 ) For Dewey the two key goals of developing a cooperative community and developing individuals ’ own capacities were not at odds ; they were necessary to each other.

With respect to foreign trade, the key economic sector is manufacturing.

With Stilicho ’ s fall, Olympius moved against all of his former father-in-law ’ s allies, killing and torturing key individuals and ordering the confiscation of the property of anyone who had borne any office while Stilicho was in command.

With the mental collapse of King Henry VI, Queen Margaret used the Duchy of Lancaster lands in the Midlands, including Kenilworth, as one of her key bases of military support.

With young players waiting in the minor leagues, during the off-season the key additions were starting pitcher and 2006 NLCS MVP Jeff Suppan, starter Claudio Vargas, reliever Greg Aquino, catcher Johnny Estrada, and returning Brewer Craig Counsell.

With a declining birthrate and population, labor was the key factor of production.

With a variety of potential applications, nanotechnology is a key technology for the future and governments have invested billions of dollars in its research.

With any hope dimming, the Phillies traded key players Shane Victorino and Joe Blanton to the Los Angeles Dodgers, and Hunter Pence to the San Francisco Giants before the trade deadline.

With steam engines, it was possible to construct mainline railways, which were a key component of the industrial revolution.

With the new system, rather than tap each telegraph key the correct number of times, the user first dialed the vertical number, and then the horizontal number.

With Fermi he had discovered the key to nuclear fission, but contrary to many of his colleagues, he refused for moral reasons to work on the Manhattan project.

With two mallets in one hand, by putting one mallet beneath the key and another above it, and by moving the wrist vertically, the percussionist can make a rolling sound with just one hand as opposed to using both.

With key Greek city-states in submission, Philip turned to Sparta ; he sent them a message, " You are advised to submit without further delay, for if I bring my army into your land, I will destroy your farms, slay your people, and raze your city.

With managers such as Jack Charlton and then Willie McFaul, Newcastle remained in the top-flight, until key players such as Waddle, Beardsley and Paul Gascoigne were sold, and the team was relegated once more at in 1989.

With this key it would be possible to have access to data encrypted with it, and to authenticate as it.

With British assistance, the Dutch landed their Netherlands Indies Civil Administration ( NICA ) forces in Jakarta and other key centres.

In his review in The New York Times, Vincent Canby called the film " an uproarious display of brilliance, nerve, dance, maudlin confessions, inside jokes and, especially, ego " and " an essentially funny movie that seeks to operate on too many levels at the same time ... some of it makes you wince, but a lot of it is great fun ... A key to the success of the production is the performance of Roy Scheider as Joe Gideon ... With an actor of less weight and intensity, All That Jazz might have evaporated as we watched it.

With the purchase of NeXT and subsequent development of Mac OS X, AppleTalk was strictly a legacy system.

With the establishment of the Soviet system and the entrenchment of a proletarian cultural direction — the culture of the working classes, which included that of village labourers — was actively supported by the Soviet establishment.

With Elliots working on the guidance system Armstrong Siddeley would develop the liquid fuel engine.

With the transition from English law, which had common law crimes, to the new legal system under the U. S. Constitution, which prohibited ex post facto laws at both the federal and state level, the question was raised whether there could be common law crimes in the United States.

With the publication of Darwin's theory of evolution in 1859, the concept of a " natural system " of taxonomy gained a theoretical basis, and the idea was born that groups used in a system of classification should represent branches on the evolutionary tree of life.

With special software it's possible to read C1581 disks on a x86 PC system, and likewise, read MS-DOS disks in the C1581 ( Big blue reader ) provided the PC floppy handles the " 720 kB " size format.

With berths for more than 5, 000 boats, the Chicago Park District operates the nation's largest municipal harbor system ; even larger than systems in cities such as New York City, Los Angeles, or Miami.

With inputs and outputs, we would otherwise have to write down Laplace transforms to encode all the information about a system.

With the unification of the three kingdoms in the 7th century and the foundation of the Goryeo dynasty in the Middle Ages, Koreans systemised its own native class system.

With the Gabo reform of 1896, the class system of Korea was officially abolished.

With the second version, Valve instituted a policy of ' delayed bans ,' the theory being that if a new hack is developed which circumvents the VAC system, it will spread amongst the ' cheating ' community.

With an open format similar to Wikipedia, any teacher may upload their courses online and a feedback system will help students choose relevant courses of the highest quality.

With some refinements ( and the rare exception of the Kingma system and other custom adapted fingering systems ), Western concert flutes typically conform to Boehm's design, known as the Boehm system.

With the existence of modern independent states, each with its own legislative system, or its own body of ulamas, each country develops and applies its own rules, based on its own interpretation of religious prescriptions.

With these parallel developments in the 1960s, it was realized that a superior system could be developed by synthesizing the best technologies from 621B, Transit, Timation, and SECOR in a multi-service program.

With extraordinary zeal, he expounded his system of “ transcendental idealism .” His success was immediate.

With Gopher, every document has a defined format and type, and the typical user navigates through a single server-defined menu system to get to a particular document.

With Leto's death, a hugely complex economic system built on spice collapsed, resulting in trillions leaving known space in a great Scattering.

With regard to any given life system parameter, an organism may be a conformer or a regulator.

With Bubbleponics, the roots get easy access to water from the beginning and will grow to the reservoir below much more quickly than with a Deep Water Culture system.

With the sixth revision, the classification system expanded to two volumes.

With the exception of a railway system, Jordan has a developed public and private transportation system.