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Using this idea inductively we can write R ( x ) as a sum with denominators powers of irreducible polynomials.
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Using and idea
Using the same general idea behind aeroponics except fogponics uses a 5-10 micron mist within the rooting chamber and as use for a foliar feeding mechanism.
Using greases specifically designed for this purpose is also a good idea, as these are often better at sealing under vacuum, thicker and so less likely to flow out of the taper, become fluidic at higher temperatures than Vaseline ( a common substitute ) and are more chemically inert than other substitutes.
Using liquid nitrogen to freeze ice cream is an old idea and has been used for many years to harden ice cream.
Using terrain to his advantage, Longstreet validated his idea that the tactical defense was now vastly superior to the exposed offense.
Using the 15-province system and the name of Kiang-nan Province indicates that the concept of China proper probably had appeared between 1645 and 1662 and this concept may reflect the idea that identifies China as the territory of the former Ming Dynasty after the Manchu conquest of Ming.
Using an example to explain this belief in materialist-idealist unity, the archaeologist Matthew Johnson looked at the idea of landscape amongst past societies.
Using pneumatic pressure of varying degrees on the sciatic nerves of frog specimens, the study supported the idea of nerve conduction failure as a result of compression.
Using this idea, a context-specific extension of the popular BLAST program has been demonstrated to achieve a twofold sensitivity improvement for remotely related sequences over BLAST at similar speeds ( CS-BLAST ).
Using a similar idea, transparencies can be used to implement a one-time pad encryption, where one transparency is a shared random pad, and another transparency acts as the ciphertext.
Using contacts acquired there, he promoted the idea of creating a separate Academy of Fine Arts in Warsaw.
Using amnesia as a central plot device ( an idea which originated in the 1940s ) also had a resurgence in the mystery-thriller genre.
Using the new idea that doctrines evolve, it was possible for the modernist to believe that both the old teachings of the Church and his new, seemingly contradictory teachings were correct — each group had its time and place.
Using rhetorical devices such as straw man or red herring arguments, a negative campaign can insinuate an opponent holds an idea without directly accusing the opponent of favoring those ideas.
Using dwarf or semi-dwarf plants is still a good idea as it reduces the amount of pruning that is necessary.
Using it to broadcast random " return " pulses, the German ground stations received several pulses for every one sent, and had no idea which was the " real " one.
Using this concept of Pierre Bourdieu's, Haacke is underlining the idea that corporate sponsorship of art enhances their public reputation, which is of material use to them.
Using the phrases " but do please, Br ' er Fox, don't fling me in dat brier-patch " and " tar baby " to refer to the idea of " a problem that gets worse the more one struggles against it " became part of the wider culture of the United States in the mid-20th century.
Using the same idea at a more parochial level, free-to-view encryption cards also allow for selecting the correct regional TV output based on the viewer's address.
" Using orange crates to mock-up and refine their idea, they invented a wood-slat porch chair with a reclining mechanism.
Using and we
Using launch systems presently available, we are developing satellites to scout the world's weather ; ;
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 Zorn's lemma, it can be shown that every field has an algebraic closure, and that the algebraic closure of a field K is unique up to an isomorphism that fixes every member of K. Because of this essential uniqueness, we often speak of the algebraic closure of K, rather than an algebraic closure of K.
Using the above theorem it is easy to see that the original Borsuk Ulam statement is correct since if we take a map f: S < sup > n </ sup > → ℝ < sup > n </ sup > that does not equalize on any antipodes then we can construct a map g: S < sup > n </ sup > → S < sup > n-1 </ sup > by the formula
Using these two examples, we can make some useful observations that motivate the major ideas in lambda calculus.
Using our senses of sight, hearing, touch, smell, and taste, we perceive colors, sounds, textures, etc.
* Using the above methods for simple polygons, we discover that particular regions within the polygon may have their area multiplied by a factor which we call the density of the region.
Using this information we can perform a series of exchanges on the input array that puts it in order, moving items only once.
Using differential calculus, we can determine the limit, or the value that Δy / Δx approaches as Δy and Δx get closer to zero ; it follows that this limit is the exact slope of the tangent.
Using this Carnapian approach, Maher identifies a proposition which we intuitively ( and correctly ) know to be false, but which we easily confuse with the paradoxical conclusion.
Using Le Chatelier's principle, we can predict that the amount of methanol will increase, decreasing the total change in CO.
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