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Page "Commutator" ¶ 22
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By and using
Suggest the following twenty-first-century amendment: By moving the term `` Republic '' to lower case, substituting the modern phrase, `` move ahead '' for the stodgy `` keep '', and by using the Postmaster's name on every envelope ( in caps, of course, with the `` in spite '' as faded as possible ), the slogan cannot fail.
By using the appropriate version any one of these factors can be determined for any combination of the other three.
By using instruments of gradually increasing size, the vagina is gently, and with minimum pain at each stage, taught to yield to an object of the appropriate shape.
By 1827 Laplace was using least
By comparing the form of several yupanas, researchers found that calculations were based using the Fibonacci sequence 1, 1, 2, 3, 5 and powers of 10, 20 and 40 as place values for the different fields in the instrument.
By night, an aardwolf can consume up to 200, 000 harvester termites using its sticky, long tongue.
By using the palette to mask the top area of the display and taking care about when it changes mode it can shift the continuous graphics at the bottom of the display down in two pixel increments because the internal display counter is not incremented on blank scanlines during non-continuous graphics modes.
By using the formula
By the Roman period brass was being deliberately produced from metallic copper and zinc minerals using the cementation process and variations on this method continued until the mid 19th century.
By comparison to biotechnology, bioengineering is generally thought of as a related field with its emphasis more on higher systems approaches ( not necessarily altering or using biological materials directly ) for interfacing with and utilizing living things.
By the late 1920s, New York writers other than Fitz Gerald were starting to use " Big Apple " and were using it outside of a horse-racing context.
By the mid-1980s at least 500 courses in business ethics reached 40, 000 students, using some twenty textbooks and at least ten casebooks along supported by professional societies, centers and journals of business ethics.
By 1000 BC ancient civilizations were using technologies that formed the basis of the various branches of chemistry such as ; extracting metal from their ores, making pottery and glazes, fermenting beer and wine, making pigments for cosmetics and painting, extracting chemicals from plants for medicine and perfume, making cheese, dying cloth, tanning leather, rendering fat into soap, making glass, and making alloys like bronze.
By using custom formatting and load / save routines ( sometimes included in third-party DOSes, see below ), all of the mechanically possible 40 tracks could be used.
By the early 1990s, the performance of microprocessor-based computers reached the point that real-time generation of computer music using more general programs and algorithms became possible.
By a strange twist of their respective fates, this foursome ends up partnering together, using their unique talents to become a ragtag team of bounty hunters, although their fortunes as such are at best mixed.
By 1970, a calculator could be made using just a few chips of low power consumption, allowing portable models powered from rechargeable batteries.
By reducing the number of tracks used ( and thus the capacity ), Commodore could further reduce cost-in contrast to the double-density drives used e. g. in IBM PCs of the day which saved 180 KB on one side ( by using a 40-track format ).
By the time of the Vietnam War, IDs spelled out the broad religious choices such as PROTESTANT and CATHOLIC, rather than using initials, and also began to show individual denominations such as " METHODIST " or " BAPTIST.
By 1695 he was back in England, now formally using the name " Defoe ", and serving as a " commissioner of the glass duty ", responsible for collecting taxes on bottles.
By contrast, non-digital ( or analog ) systems represent information using a continuous function.
By using doublespeak in advertisements, aspirin production rose by almost 50 percent from over 23 million pounds in 1960 to over 35 million pounds in 1970.
By the 12th to 13th centuries A. D., monks were preparing illuminated manuscripts on vellum and parchment in monasteries throughout Europe and were using lead styli to draw lines for their writings and for the outlines for their illuminations.
By direct substitution, the solution to this equation can be readily shown to be the scalar Green's function, which in the spherical coordinate system ( and using the physics time convention ) is:

By and commutator
By contrast, in classical physics, all observables commute and the commutator would be zero.

By and Lie
For example, " In the Sweet By and By " became " There'll Be Pie in the Sky When You Die ( That's a Lie )".
By the late 19th century, in a flood of nationalistic romanticism, the great four emerged, Henrik Ibsen, Bjørnstjerne Bjørnson, Alexander Kielland, and Jonas Lie.
By means of a Chevalley basis for the Lie algebra, one can define E < sub > 6 </ sub > as a linear algebraic group over the integers and, consequently, over any commutative ring and in particular over any field: this defines the so-called split ( sometimes also known as “ untwisted ”) adjoint form of E < sub > 6 </ sub >.
By contrast, European " academic " painting was devoted to a sort of Big Lie that the surface of the canvas is only an enchanted doorway to a " real " scene unfolding beyond, and that the artist's main task is to distract the viewer from any disenchanting awareness of the presence of the painted canvas.
By the following construction, which suggests itself on general grounds ( for instance, as part of a pair of adjoint functors ), we establish that indeed every Lie algebra does have a universal enveloping algebra.
By his own account, in his Notice sur les travaux scientifiques, the main theme of his works ( numbering 186 and published throughout the period 1893 – 1947 ) was the theory of Lie groups.
In 2000, Lawler made a very brief cameo appearance in the music video of I Can't Lie To Me By Clay Davidson.
By applying the preceding ideas to the local 1-parameter group of diffeomorphisms defined by a vector field on M, and differentiating with respect to the parameter, a notion of Lie derivative on any associated bundle is obtained.
By means of a Chevalley basis for the Lie algebra, one can define E < sub > 8 </ sub > as a linear algebraic group over the integers and, consequently, over any commutative ring and in particular over any field: this defines the so-called split ( sometimes also known as “ untwisted ”) form of E < sub > 8 </ sub >.
* 1967-Brian Rix presented and appeared in Stand By Your Bedouin, the first in a season of farces, including Uproar in the House and Let Sleeping Wives Lie.

By and bracket
By 2000 the social structure included a politically active working class, a primarily clerical middle class, and an upper bracket consisting of managers, entrepreneurs, and professionals.
By the 1974 – 1975 season, Sanford and Sons high lead-in helped the entire NBC Friday night lineup to place in the coveted bracket of Top 20 shows ( Chico and the Man, following Sanford, placed in the Top 10, while the police dramas The Rockford Files and Police Woman aired later in the evening and ranked in the lower reaches of the Top 20 ).
By competing at the highest level allowed in the battleground bracket, and equipped with the best possible gear, twinks played with a significant advantage over regular players.
By the end of the competition, this system produces a champion from each bracket.

By and every
By 473 BC, after the death of Phrynichus, one of his chief rivals, Aeschylus was the yearly favorite in the Dionysia, winning first prize in nearly every competition.
Professor Henry Higgins sings, " Look at her, a prisoner of the gutters / Condemned by every syllable she utters / By right she should be taken out and hung / For the cold-blooded murder of the English tongue.
By now Blenheim was under assault from every side by three English generals: Cutts, Churchill, and Orkney.
By managing the European and African populations as one-by strategic exports from Europe combined with in-situ transfers, gene-loss is reduced to 0. 72 % every 100 years with both populations remaining stable.
By a theorem of Gelfand and Naimark, given a B * algebra A there exists a Hilbert space H and an isometric *- homomorphism from A into the algebra B ( H ) of all bounded linear operators on H. Thus every B * algebra is isometrically *- isomorphic to a C *- algebra.
By 1914, around 100 people — men, women, and children — were living on Clipperton Island, resupplied every two months by a ship from Acapulco.
By the laws of England, every invasion of private property, be it ever so minute, is a trespass ...
By the same construction, every locally compact Hausdorff space X is a dense subspace of a compact Hausdorff space having at most one point more than X ..
By 1880, almost a thousand Chinese people, " one for every five Caucasians ," lived in Carson City.
( By comparison, the ratio in twelfth-century China was one bureaucrat for every 15, 000 people.
By rejecting these opinions, and seeking good and evil in the power of choice alone, we may confidently achieve peace of mind in every condition of life.
... By keeping all of the little people in focus, Coppola shows the variety of a young lawyer's life, where every client is necessary and most of them need a lot more than a lawyer.
By using a set of n flexible rods, one can arrange that every rod touches every other rod.
By far the most common and widespread species of fox is the red fox ( Vulpes vulpes ), although various species are found on almost every continent.
By the mid 1890s, the Golden Dawn was well established in Great Britain, with membership rising to over a hundred and including every class of Victorian society.
By historism, he means the tendency to regard every argument or idea as completely accounted for by its historical context, as opposed to assessing it by its merits.
By the mid-70s, Pei tried proposing a new design, but the library's opponents resisted every effort.
By the fundamental theorem of arithmetic, every positive integer has a unique prime factorization.
By that time, the show's name became Transitions, which was also the name of a four-volume series of mix albums by Digweed released every six months during 2006-2008.
By forging Mathieu as an absolute rationalist, analyzing every situation, and functioning entirely on reason, he removed any strands of authentic content from his character and as a result, Mathieu could " recognize no allegiance except to self " ( Sartre 1942: 13 ), though he realized that without " responsibility for my own existence, it would seem utterly absurd to go on existing " ( Sartre 1942: 14 ).
By contrast, in warp knitting, one yarn is required for every wale.
By a vote of 23 to 17, the senate voted to kill the motion by laying it on the table with every senator from states south of Missouri voting for the tabling.

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