These encoding rules are available from NARA, upon request, in the form of General Information Leaflet 55, " Using the Census Soundex ".

Hence S breaks up into uncountably many orbits under G. Using the axiom of choice, we could pick a single point from each orbit, obtaining an uncountable subset X of S with the property that all of its translates by G are disjoint from X.

# Using binary digits to represent all numbers and data

Using the language of category theory, many areas of mathematical study can be cast into appropriate categories, such as the categories of all sets, groups, topologies, and so on.

Using a branch of mathematics known as tuple calculus, he demonstrated that such a system could support all the operations of normal databases ( inserting, updating etc.

Using their knowledge of audience participation, MC charisma, and " crowd-pleasing " repertory selection, the wedding music industry became almost all DJ while combining the class and elegance of the traditional band presentation.

Using the ratio test it is possible to show that this power series has an infinite radius of convergence, and so defines e < sup > z </ sup > for all complex z.

Using the method developed by Carl Gustaf Mosander, Cleve first removed all of the known contaminants from erbia.

Using this procedure, Groseclose and Milyo obtain the stark result that all sampled news providers-except Fox News ' Special Report and the Washington Times-are located to the left of the average Congress member, i. e. there are signs of a liberal bias in the US news media.

Using the nomenclature of " hapticity ", the equivalent bonding of all 5 carbon atoms of a cyclopentadienyl ring is denoted as η < sup > 5 </ sup >, pronounced " pentahapto.

Using the first device capable of capturing hours of audio — the wire recorder — Boder came back with the first recorded Holocaust testimonials and in all likelihood the first recorded oral histories of significant length.

Using this relation, it is possible to construct a partial order on the quotient set of the equivalence, S / ~, the set of all equivalence classes of ~.

Using Wick theorem on the terms of the Dyson series, all the terms of the S-matrix for quantum electrodynamics can be computed through the technique of Feynman diagrams.

Using a multicast protocol the server sends out only a single stream that is common to all users.

Using this way of framing the issue, Cousin stridently argued that different competing philosophical ideologies all had some claim on truth, as they all had arisen in defense of some truth.

) Using the customary international law principle of a nation's right to protect its natural resources, President Truman in 1945 extended United States control to all the natural resources of its continental shelf.

Using these patents as a part of WI coder implementation requires licensing from all IPR holders.

Using Carnap's formula for induction, he finds that the probability that all ravens are black decreases from 0. 9985 to 0. 8995 when it is discovered that one of the two objects is a black raven.

Using an equivalent form of the paradox which reduces the length of the week to just two days, he proved that although self-reference is not illegitimate in all circumstances, it is in this case because the statement is self-contradictory.

Using Internet Protocol address spoofing, the source address is set to that of the targeted victim, which means all the replies will go to ( and flood ) the target.

Using their superior fingerprint matching technology, they successfully identified all of the suspects and issued national bulletins offering rewards for their capture.

Using high ground to further the range of archers ; creating bottle necks ; and whittling down an enemy with hit and run tactics all become crucial strategies in the single player game.

Using Vinogradov's method, Chudakov, van der Corput, and Estermann showed that almost all even numbers can be written as the sum of two primes ( in the sense that the fraction of even numbers which can be so written tends towards 1 ).

Using the provisions of the Great Charter, Fell persuaded Oxford to refuse any further payments from the Stationers and drew all printers working for the university onto one set of premises.

Using a separate statistical evaluation than used above for interventions, civil wars that included pro-or anti-communist forces lasted 141 % longer than the average non-Cold War conflict, while a Cold War civil war that attracted superpower intervention resulted in wars typically lasting over three times as long as other civil wars.

Using the DPV formula above ( FV =$ 150, 000, i = 0. 05, n = 3 ), that means that the value of $ 150, 000 received in three years actually has a present value of $ 129, 576 ( rounded off ).

Using himself as the sole subject in his experiment, he memorized lists of three letter nonsense syllable words — two consonants and one vowel in the middle.

Using an updated ' C ' version on the M7, a further three podium finishes followed for Bruce in, but the team's fifth win had to wait until the last race of the 1969 championship when Hulme won the Mexican Grand Prix.

Using two hundred riot vans, three Leopard MBTs, three armoured personnel carriers, a helicopter, twelve hundred policemen, and seven hundred fifty members of the armed forces, they evicted the squatters and demolished the block, while clouding the entire area in teargas and CS gas.

Using few props, they created dry and absurd television which lasted for three series between 1965 and 1970.

Using three Klingon vessels, Valdore attacks Coalition of Planets allies hoping to weaken or destroy two enemies of the Romulan Star Empire by provoking a war.

Using the " language playwrights " Mac Wellman, Len Jenkin, Suzan-Lori Parks, the author noted that playwrights over the past three decades have placed an increasing emphasis on language as the determinant of character and structure, rather than vice-versa.

Using a modified form of IP < sub > 3 </ sub >, it was discovered that all three phosphate groups interact with the receptor, but not equally.

Using the 205 and a 405, Peugeot won the Dakar Rally four times in a row from 1987 to 1990 ; three times with Vatanen and once with Kankkunen.

" Using unknown actors and filming with no more than three minimal sets, a sole exterior ( a used-car lot ) to represent Los Angeles, a few stock shots, and some shaky back-projection, Ulmer conjures up a black, paranoid vision, totally untainted by glamour, of shabby characters trapped in a spiral of irrational guilt.

Using three orthogonal magnetometers, both azimuth and dip ( inclination ) can be measured.

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 the original X-Men as his agents to satisfy Lucifer's twisted sense of irony-and also due to his limited ability to create truly effective ionic constructs ; the duplicate Xavier was only his third construct shown and the other two lacked any kind of initiative-the duplicate Professor dispatched them to acquire three components from Quistalian outposts around the globe, intending to use them to alter the machine that had sent the Professor into the Nameless Dimension so that it could be used to allow Lucifer to return to Earth.

Using factor analysis on data from 3-12 month old children, three broad factors emerged and were labelled surgency / extraversion, negative affect, and effortful control.

Using land planner Ernest Bowditch of Boston and architect Bruce Price of New York, and with the help of 1, 800 Italian and Slovakian laborers, in about eighteen months twenty miles ( 32 km ) of roads, a gate, a clubhouse, and three dams, were created launching a resort which attracted a number of the financial, industrial and social leaders of the day.

Using more stones than any other pharaoh, he built three pyramids: a now collapsed pyramid in Meidum, the Bent Pyramid at Dahshur, and the Red Pyramid, at North Dahshur.

Using three separate tubes each looking at the same scene would produce slight differences in parallax between the frames, so in practice a single lens was used with a mirror or prism system to separate the colors for the separate tubes.

Using three machines which landed in Siberia after bombing Japan in 1945, Tupolev succeeded in replicating the world's first nuclear delivery platform down to trivial detail.

Using the model of the existing Métro, and unlike any other underground network in the world, engineers elected to build the three new deep stations ( Étoile, Auber and Nation ) as single monolithic halls with lateral platforms and no supporting pillars.

Using multiple carburetors ( two or three ) always results in one carburetor feeding more cylinders than the other, which also produces running and tuning problems.

Using the orthogonality relation where is the Kronecker delta, we simplify the above three terms for each to see