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.

Without comparing the relative merits of the two courses -- architecture versus interior design -- let us examine the educational needs of the interior designer.

He made his first television appearance in 1954 and appeared in two films featuring James Dean, Rebel Without a Cause ( 1955 ) and Giant ( 1956 ).

The band's American breakthrough came with the third album, Travelling Without Moving in 1996, which yielded two big hits, " Virtual Insanity " and " Cosmic Girl ".

Without the Preface, the two stanzas form two different poems that have some relationship to each other but lack unity.

The album contained the last two performances of Joe C. on " Devil Without a Cause " and " Early Mornin ' Stoned Pimp ," as well as Kid duetting with country star Gretchen Wilson on " Picture.

Without L cuts, a conversation between two people can feel like a tennis match.

Without Gandhi's unifying personality, the Indian National Congress began to splinter during his years in prison, splitting into two factions, one led by Chitta Ranjan Das and Motilal Nehru favouring party participation in the legislatures, and the other led by Chakravarti Rajagopalachari and Sardar Vallabhbhai Patel, opposing this move.

Without alternatives, Mieszko II was forced to surrendered the Royal crown and agreed to the division of Poland between him and the other two competitors: his brother Otto and certain Dytryk () — cousin, grandson of Duke Mieszko I and his third wife Oda —.

Without the repeater, the range of the telegraph was limited to two miles ( 3 km ), and the inventors had pulled two miles ( 3 km ) of wires inside the factory house through an elaborate scheme.

Without reinforcement, the two species would have uncontrollable inbreeding.

( See Without Remorse ) His middle name appears variously with one and two ' R's, and the name " John Terrence Clark " does appear in the novel Clear and Present Danger.

Without this assumption there are only a finite number of distances between two points, hence there is no infinite sequence of movements, and the paradox is resolved.

Without a home in either of the two major parties, Tyler sought an issue that could create a viable third party to support his bid for the presidency in 1844.

Without the diacritic, the sequence can represent either a diphthong () or two vowels in hiatus ().

Without the Seven Years ' War to " unite " the two countries briefly, the marriage of Maria Antonia and the Dauphin Louis-Auguste might not have occurred.

Without the two full loops of the fully developed paper clip, it was difficult to insert sheets of paper into his clip.

Without having to be extended, Nijinsky moved through to take the lead a furlong from the finish and won by two lengths from Blakeney despite being eased down to a canter in the closing stages.

Without analyzing the statistical uncertainty of a given 100-year flood, scientists and engineers can decrease the uncertainty by using two practical rules.