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Page "Elementary group theory" ¶ 46
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Without and for
Without any regard for rest-room protocol, the hulking stranger almost knocked Herford off his pins.
Without a great acceleration in the metropolitan area's economy, there will not be sufficient jobs for the growing numbers of youngsters, and St. Louis will slip into second-class status.
Without exception Hino's brothers turned to either one or both of their father's occupations, but Hino showed a talent for neither and instead spent most of his time on the beach where he repaired nets and proved immensely popular as a storyteller.
A true university, like most successful marriages, is a unity of diversities Without forcing all components into a single pattern, the preparation of a master plan is an opportunity to consider interrelation of knowledge at its highest level, which a university -- in contrast to a multiversity -- should stand for.
Without losing the distinctive undertow of Brahmsian rhythm, the pacing is firm and the over-all performance has a tightly knit quality that makes for maximum cumulative effect.
Without math the men who are continually seeking the causes of and the reasons for the many things that make the world go 'round would not have any means of analyzing, standardizing, and communicating the things they discover and learn.
Without warning, without giving her a chance to prepare for it.
Without dissent, senators passed a bill by Sen. A. R. Schwartz of Galveston authorizing establishment in the future of a school for the mentally retarded in the Gulf Coast district.
`` Without any officious and improper interference on the subject, the price of labor or the wages of mechanics will be regulated by the demand for the manufactured article and the value of that which is paid for it ; ;
Without the axiom of choice, these theorems may not hold for mathematical objects of large cardinality.
Without such precautions, most programs may compile only on a certain platform or with a particular compiler, due, for example, to the use of non-standard libraries, such as GUI libraries, or to the reliance on compiler-or platform-specific attributes such as the exact size of certain data types and byte endianness.
The following year, he won the Parents Without Partners Exemplary Service Award for 1972.
Without nurturing feelings of the heart a subtle form of anxiety arises which results in the self reaching out for experience.
Without it, a panel of experts set up to ‘ rationalise production ’, likely closely linked to the cobblers for expertise, would tend to support the cobblers interests in a ‘ conspiracy against the public ’.
Without the price system to match consumer utility to incentives for production, or even indicate those utilities " without providing incentives ", state planners are much less likely to invest in new ideas to satisfy consumers ' desires.
* Grammy Awards of 2002, Best New Age Album for A Day Without Rain
Without it, democracy loses any tie ─ argumentative or practical ─ to a coherent design of public policy endeavoring to provide the resources for the realization of democratic citizenship.
Without his approval, he became the first African American nominated for Vice President of the United States as the running mate of Victoria Woodhull on the impracticable and small Equal Rights Party ticket.
Without Abkhazia and South Osetia, the population in the regions controlled by the central government of Georgia was 4, 321, 500 in 2005 and 4, 382, 100 in 2008 ( compare the 2008 figure with the CIA estimate of 4, 630, 841 for all of Georgia, including Abkhazia and South Osetia ).
Without access to cheap Indian saltpeter ( controlled by the British ), for hundreds of years France had relied on saltpetermen with royal warrants, the droit de fouille or " right to dig ", to seize nitrous-containing soil and demolished walls of barnyards, without compensation to the owners.
Dennis R. Hoagland and Daniel I. Arnon wrote a classic 1938 agricultural bulletin, The Water Culture Method for Growing Plants Without Soil, debunking the exaggerated claims made about hydroponics.
Without doubt Joseph is torn to pieces .” He rent his clothes and put sackcloth around his waist mourning for days.
Without it, democracy loses any tie ─ argumentative or practical ─ to a coherent design of public policy endeavoring to provide the resources for the realization of democratic citizenship.

Without and all
Without the good magazines, without their book reviews, their hospitality to European writers, without above all their awareness of literary standards, we might very well have had a generation of Krim's heroes -- Wolfes, Farrells, Dreisers, and I might add, Sandburgs and Frosts and MacLeishes in verse -- and then where would we be??
Without such a declaration, Paine concluded, “ he custom of all courts is against us, and will be so, until, by an independence, we take rank with other nations .”
Without time-gating all of the species reaching the detector are analyzed.
If only layer C changes, we should find a way to avoid re-blending all of the layers when computing F. Without any special considerations, four full-image blends would need to occur.
" Without these questions there is no clear fulcrum on which to balance law, politics, and the practice of arbitration — in fact, no common assumptions of all participants — so the ability to formulate the questions are prior to rights balancing.
The conflict slowed down production, however Devil Without a Cause was completed on schedule with Rock mostly playing all the instruments himself.
Without the field, there are electrons moving equally in all directions.
Near the end of her time as governor general, Adrienne Clarkson stated: " My constitutional role has lain in what are called ' reserve powers ': making sure that there is a prime minister and a government in place, and exercising the right ' to encourage, to advise, and to warn '[...] Without really revealing any secrets, I can tell you that I have done all three.
Without holidaying, commanders at all levels are steadfast to project on the force outfits and outputs.
Without evil or the necessity of strife mankind would have remained in a savage state since all amenities would be provided for.
Without Thuggee's sacred service, Kali might destroy all the human kind:
Without the bright flame and dense smoke trail produced by the burning of aluminized propellants, these smokeless propellants all but eliminate the risk of giving away the positions from which the missiles are fired.
To sum up: Without being a great dogmatician like his master, nor a creative genius in the ecclesiastical realm, Beza had qualities which made him famous as humanist, exegete, orator, and leader in religious and political affairs, and qualified him to be the guide of the Calvinists in all Europe.
Without halftoning, the three primary process colors could be printed only as solid blocks of color, and therefore could produce only seven colors: the three primaries themselves, plus three secondary colors produced by layering two of the primaries: cyan and yellow produce green, cyan and magenta produce a purplish blue, yellow and magenta produce red ( these subtractive secondary colors correspond roughly to the additive primary colors ) plus layering all three of them resulting in black.
Without establishing complete control over all the machinery of the State, his hold on power could not be secure.
Without the succour of the Mima, the erstwhile colonists seek distraction in sensual orgies, memories of their own and earlier lives, low comedy, religious cults, observations of strange astronomical phenomena, empty entertainments, science, routine tasks, brutal totalitarianism, and in all kinds of human endeavour, but ultimately cannot face the emptiness outside and inside.
Without the finiteness restriction a posetal category with all products is automatically cocomplete, and dually, by a theorem about complete lattices.
Without recombination, all alleles for those genes linked together on the same chromosome would be inherited together.
Without exception, all Canna species that have been introduced into Europe can be traced back to the Americas, and it can be asserted with confidence that Canna is solely an American genus.
Without a daily dose of Vivaldi, Visine, Alka-Seltzer, Dexedrine and sex, he wouldn't have the energy to keep up the biggest " show " of all — his life.
Without Bonnie, the media outside Texas might have dismissed Clyde as a gun-toting punk, if it ever considered him at all.
; SET: Sets the value of an environment variable ; Without arguments, shows all defined environment variables.

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