With semiautomatic operation analogous to the early days of panel switch, the operator in the originating city used a multifrequency keypad to dial an access code to connect to the correct city and to send the seven digit number to incoming equipment at the terminating city.

With the aid of standard mathematics, the classical spring system can be described in terms of vibrational modes, which are analogous to the harmonics that occur on a stretched violin string.

Since ω and g are nondegenerate, each induces a bundle isomorphism TM → T * M, where the first map, denoted φ < sub > ω </ sub >, is given by the interior product φ < sub > ω </ sub >( u ) = < sub > u </ sub > ω = ω ( u, •) and the other, denoted φ < sub > g </ sub >, is given by the analogous operation for g. With this understood, the three structures ( g, ω, J ) form a compatible triple when each structure can be specified by the two others as follows:

With fellow researcher Antoine Duquennoy, he conducted a survey of small-mass companions of stars analogous to the sun, releasing the results in one of the most cited papers published by Astronomy and Astrophysics during its first 40 years.

With a left-handed batsman, the leg side is analogous to the half that includes right field and first base.

With this in mind, although the Archpriest of Haccombe holds a unique role in the Church of England, it must be considered analogous with certain Incumbencies which bear the title " Dean " regardless of whether or not their Incumbent is the actual Rural or Area Dean.

With the exception of hippies and a conversational scene with Fellini bemoaning the loss of Roman life with radical students, the analogous congregations of the 1970s are between automobiles and motorcycles.

* Building With Awareness A detailed how-to DVD video that shows adobe wall construction and their use as thermal mass walls

With very large, complex projects, an independent construction manager is sometimes hired to assist in design and to manage construction.

Under Title III of the ADA, all " new construction " ( construction, modification or alterations ) after the effective date of the ADA ( approximately July 1992 ) must be fully compliant with the Americans With Disabilities Act Accessibility Guidelines ( ADAAG ) found in the Code of Federal Regulations at 28 C. F. R., Part 36, Appendix " A ".

With additions, changes and new construction, the fort remained in use by the Army into the waning days of the Western Roman Empire, possibly the mid-5th century.

With their careful construction — and in the case of Easy Street and The Immigrant, their social commentary — these films are considered by Chaplin scholars to be among his finest work.

With the construction of a bypass, the US 131 freeway was extended around the east side of the city.

With this issue alone, an estimated construction cost saving for a total of 58 office floors, would be around HK $ 30 million.

With the construction of the large supercarriers of the Cold War era, the practice of operating each carrier in a single formation was revived.

With that, numerous construction projects have been put on hold in the west, and a vigorous reconstruction has been going on for almost 20 years.

With assistance from the United States, the World Bank, and the United Kingdom, construction of the Akosombo Dam was completed on the Volta River in 1966.

With the White House still under construction, she advised as to its furnishings and sometimes served as First Lady for ceremonial functions for President Thomas Jefferson, a widower and their friend.

With amplification, logic gates can be cascaded in the same way that Boolean functions can be composed, allowing the construction of a physical model of all of Boolean logic, and therefore, all of the algorithms and mathematics that can be described with Boolean logic.

With gauge railways seemingly under construction in Libya to the north and Nigeria to the south, and an interconnection between the two that quite likely would pass through Nigeria, this would seem to indicate that Niger will acquire standard gauge railways.

With the construction of the Berlin Wall on 13 August 1961, along the intracity frontier, Potsdamer Platz now found itself physically divided in two.

With Paris as his capital, he had the main thoroughfares paved, built a central market, Les Halles, continued the construction begun in 1163 of Notre-Dame de Paris, constructed the Louvre as a fortress and gave a charter to the University of Paris in 1200.

With a total investment of £ 236. 6m ( costs for construction and ten years of operation ) the airport will be the largest single investment ever made in the island.

With $ 71, 000 total in grants from the National Science Foundation, construction began on a 20-acre plot in Delaware, Ohio.

With public and private investment, construction on the CSEE began in 2010.

With the growth of the economy of the country, Yerevan has been undergoing major transformation as many parts of the city have been the recipient of new construction since the early 2000s, and retail outlets such as restaurants, shops and street cafes, which were rare during Soviet times, have multiplied.

With diversification in several industries, including banking, insurance, telecommunications, architecture / construction, and transportation, Omaha's economy has grown dramatically since the early 1990s.

With land holding, taxes came due and new owners, in lieu of payment, were obliged to work 15 days per year on public projects, such as wharf construction, road building, etc.

With the construction of its current building, designed by Alessandro Mendini, the museum has been transformed into one of the most modern and innovative of its kind in the Netherlands.

With the industrial revolution finally gathering speed in the Netherlands and the ramparts taken down, Utrecht began to grow far beyond the medieval center from the 1880s onward with the construction of neighbourhoods such as Oudwijk, Wittevrouwen, Vogelenbuurt to the East, and Lombok to the West.

With this no loyal citizen can quarrel.

With these keen `` eyes '' and small nuclear weapons delivered with accuracy, military forces can be directly attacked with minimum damage to urban areas.

With them, you can carry steaks and hamburgers at refrigerator temperatures, and also get your frozen food for stews and chowders, to the marina or picnic, in A-1 condition.

With such a program you can make constructive selections of the best sites available.

`` With a 15,500-lb. fork-lift, dealers can unload unitized lumber from wide-door box cars for $.30/mbf compared with $1.65 or more to unload loose lumber one piece at a time '', says James Wright of Aj.

With the above results we can make the following remarks about the graph of F.

With respect to those countries whose leaders prefer to live with their illusions, we can afford to wait, for in time their comparative lack of progress will become clear for all to see.

With a few important and a few more unimportant exceptions, no expression can be deemed le mot juste for its context, because each was very probably the only expression that long-established practice and ease of rapid recitation would allow.

With integration, the effect of a small acceleration ( or small platform tilt angle ) can be seen after a time.

With the gyro-stabilized platform leveled, it can be headed in the proper direction by using surveying techniques.

With its power to investigate, the Senate can paralyze the Secretary by keeping him in a state of perpetual testimony before committees, as it did with Dean Acheson.

With an art that almost conceals art, J. D. Salinger can create a fictional world so authentic that it hurts.

With harvests in full swing, you can enjoy festivals for grapes at Sonoma, Calif. ( Sept. 22-24 ), as well as for cranberries at Bandon, Ore. ( Sept. 28 thru Oct. 1 ), for buckwheat at Kingwood, W. Va. ( Sept. 28-30 ), sugar cane at New Iberia, La. ( Sept. 29 thru Oct. 1 ) and tobacco at Richmond, Va. ( Sept. 23-30 ).

With a few exceptions, adult amphibians are predators, feeding on virtually anything that moves that they can swallow.

With more advanced equipment, but still cheap in comparison to professional setups, amateur astronomers can measure the light spectrum emitted from astronomical objects, which can yield high-quality scientific data if the measurements are performed with due care.

A choice function is a function f, defined on a collection X of nonempty sets, such that for every set s in X, f ( s ) is an element of s. With this concept, the axiom can be stated:

With this alternate notion of choice function, the axiom of choice can be compactly stated as

With two or more equally determined players, this can result in a " bidding war " where the attribute is driven up by increments to large sums.

With some simplifications, in particular constant density, they can be given as follows:

With the foremost anchor reducing the load on the aft-most, this technique can develop great holding power and may be appropriate in " ultimate storm " circumstances.

With Edward Frankland he found that nitriles can be hydrolyzed to the corresponding acids.

With improv, people can find true expressive freedom since they don't ever know how the situation is going to turn out.

With the axiom of dependent choice ( which is a weakened form of the axiom of choice ), this result can be reversed: if there are no such infinite sequences, then the axiom of regularity is true.

With modern instrumentation these tests are rarely used but can be useful for educational purposes and in field work or other situations where access to state-of-the-art instruments are not available or expedient.