: Without doubt this is the most important work on general algebra that the Annalen has ever published.

" Paisley added, " Without him, the biggest antitrust case we've ever had would not have been.

Without doubt, the single most significant paper concerning the distribution of prime numbers was Riemann's 1859 memoir On the Number of Primes Less Than a Given Magnitude, the only paper he ever wrote on the subject.

Without malice aforethought I had given them the best show that was ever staged in their territory since the landing of the Pilgrims!

Without ever stepping on the field, the team went through their third relocation, starting off as the Baltimore-Washington Ambassadors, to the Washington Ambassadors, and finally the Virginia Ambassadors.

Without Bonnie, the media outside Texas might have dismissed Clyde as a gun-toting punk, if it ever considered him at all.

Without ever having been awarded, the Medal of Courage was on 1 July 1972 replaced by the autonomous Cross of Valour and, at the same time, the levels of Officer and Member were introduced, with all existing holders of the Medal of Service created as Officers.

Without going after business, for his letters do not indicate that he was ever aggressive or pushy, Copley was started as a professional portrait-painter long before he was of age.

Without that provision, it would have required a strained reading to construe that all actual presidents born in the colonial period were born in the U. S. A., because the United States did not exist prior to July 4, 1776, the date on which the Declaration of Independence was adopted, and Alexander Hamilton ( who did not ever actually run for the office, but was considered presidential material by some ) would have been barred because of his birth in the West Indies.

Without ever charged with any crimes, he was unconditionally released from detention on 1 October 1984, alongside 249 other politicians of that era — former Ministers Adamu Ciroma and Maitama Sule were also on that batch of released politicians.

S. E. Dahlinger, leading expert on the play Sherlock Holmes, summed him up: " Without seeming to raise his voice or ever to force an emotion, he could be thrilling without bombast or infinitely touching without descending to sentimentality.

Without entering into the merits of the advice which it proposes to convey, or attempting to defend ( what I now condemn myself ) the language and manner in which that advice was delivered, I solemnly declare, that in writing the passage which regards the Bible ( consisting of a single page, and the only passage which I ever wrote on the subject ) I had not the most distant intention to bring the sacred Writings into contempt, and that, had I suspected it of producing such an effect, I should not have written the paragraph .”

After signing to Cooking Vinyl they released a mini-album, A World Without Dave, and started their longest ever UK tour.

Without ever having met Bob, Alice may need to obtain a key to use to encrypt messages to him.

Strega of Television Without Pity, also praised the character's psychology, " The thing I like most is that they've not only created a teenager who doesn't just feel like he's the most alienated person in the world -- he actually is ," and " I love how unloved Connor he is …” Jean Lorrah described the Darla-Angel-Connor-Jasmine arc as " surely one of the most ambitious story arcs any television show has ever attempted “ Stacey Abbott of PopMatters called the Darla-Angel-Connor storyline " provocative " and " pure family melodrama ".

Without ever seeing his son, Douglas, who used to be Eller's driver before Kate, commits suicide in Eller's bathroom, obviously because of the high debts he has run up.

Without any hard feelings, and with their love as strong as ever, Marlena chose to separate from John for a while, and she took a job in New Jersey.

Without ever having appeared in a film, Travis made his big-screen debut in a starring role in Open Water, about a couple who goes scuba diving and is left behind in the ocean by accident while on an organized dive.

Without ever securing an Australian or UK Top 50 chart single — a fact which mystified their supporters in the press, to the point where this " scandalous " lack of popular success became a cliché when writing about the band.

" Without addressing Walsh's sexuality, he said the report contained no evidence that Walsh ever " visited a ' house of degradation ' to connive or to consort with, or to converse with, or to conspire with anyone who is the enemy of the United States.

Without having ever seen them and largely on Dusty's advice, the record company signed a deal of $ 200, 000 with them.

The Prophecy also had plans for Low Ki that night, as they hired Samoa Joe, making his ROH debut that night, to take out Low Ki in the first ever Fight Without Honor.

Sale's chief executive, Mick Hogan, paid tribute to Hodgson, saying that " Without doubt, he will be considered one of the greatest players to ever play for Sale Sharks ".

Without ever playing a game for them, Welsch, along with Mills, Raef LaFrentz and a lottery-protected 2004 NBA Draft pick, was traded by Dallas to the Boston Celtics on October 20, 2003 in exchange for Antoine Walker and Tony Delk.

In Commonwealth v. Jennison, Cushing, in his charge to the jury, stated, " Without resorting to implication in constructing the constitution, slavery is ... as effectively abolished as it can be by the granting of rights and privileges wholly incompatible and repugnant to its existence.

Without abandoning too much, Copernicus sought to make orthodox astronomy systematically and mechanically acceptable.

Without abandoning its commitment to exploring the new languages of car design, Bertone entered the 1990s with its focus on technological innovations.

Without Rembrandt I would have been so poor ," By abandoning the accepted path of modern art, Nerdrum had placed himself in direct opposition to most aspects of the school, including his primary painting instructor, his fellow students, and a curriculum designed to present Norway as a country with an up-to-date artistic culture.

Without abandoning his famous austerity, his imagery has developed a sensual beauty during the 1990s, partly under the influence of his collaboration with cinematographer Mark Lee Ping-Bin.

Without abandoning his dedication to painting and photography, reflected in numerous exhibitions, he began the well-known Trilogía Ibérica with Jamón Jamón ( 1992 ), Huevos de Oro ( 1993 ) and La teta y la luna ( 1994 ).

Without these massive trucks highways would still be just an idea of the future.

Without the axiom of choice, these theorems may not hold for mathematical objects of large cardinality.

Without these APIs, the programmer needs to write these APIs him / herself.

Without much added cost, these devices could be designed to also harvest BSFL.

" 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.

Without any such logical operators of valence 0, these two constants can only be expressed using quantifiers.

Without these precautions, cracks in overgrown and overly brittle hoof walls are a danger, as is bruising of the soft tissues within the foot because of inadequately thick and hard sole material.

Without some earlier ones, such as the spinning jenny and flying shuttle in the textile industry and the smelting of pig iron with coke, these achievements might have been impossible.

Without these crutches, reading a Kvikkalkul program requires one to work out what the program actually does.

Without glacial sources, annual flow regimes in these rivers are more variable although limited flow persists through the dry season.

Without these two events, Italian unification would have been a more prolonged process.

Without these features, they are usually noncompliant.

Without at least one of these two pieces of information, we are not obviously justified in seeing design in such cases … he problem for the fine-tuning argument is that we lack both of the pieces that are needed to justify an inference of design.

Without water, these particular metabolic processes could not exist.

Without appropriate intervention, these children lag behind their peers.

Without the transfer of these rights, Tufts could come in at any time and demand the removal of buildings to obtain minerals.

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.

Without good flexing properties these movements rapidly form cracks and, ultimately, make the rubber article fail.

Without these opaque layers, the hot, luminous core emits ultraviolet radiation that ionizes the ejected outer layers of the star.

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 social capital in the area of education, teachers and parents that play a responsibility in a students learning, the significant impacts on their child ’ s academic learning can rely on these factors.

Without sufficient levels of these key electrolytes, muscle weakness or severe muscle contractions may occur.

Without trying to make a direct analogy one can be convinced of the importance of considering these extra properties following the rationale implied by this game: an object is defined here consisting of two rods and strings connecting them.

Without timely treatment, these new blood vessels can bleed, cloud vision, and destroy the retina.