Students will demonstrate their ability to reason by forming conjectures about the relationship of each point of concurrency with the triangle. |
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Mathematical proofs of conjectures, however, require more than overwhelming numerical evidence. |
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I will inform Monsieur Dubuque of your conjectures about the letter's mailer in another way. |
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Elemental cowboy concerns of earth and air are replaced by the abstract academic conjectures of scientists. |
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So we sat, the last few hours, thinking about the last few months and making conjectures about the future. |
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The mass media have reported every single act of violence, however insignificant, making conjectures about its terrorist nature. |
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For the rest of the morning she issued conjectures about the change in her social status this swingset would bring about. |
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He proposed a demarcation criterion that, in his view, made the distinction between scientific theories and non-scientific conjectures. |
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This work continues the tradition of mathematical experiment to help discover patterns, suggest conjectures, and develop new theorems. |
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Decades ago, mathematicians proved the corresponding conjectures for spheres of four dimensions and higher. |
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Schledermann conjectures that these Skraelings may have been at least in part Dorset people. |
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Therefore, this hypothesis conjectures that population density should be positively correlated with patch area. |
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This speculation contains three conjectures within the space of one sentence to no purpose. |
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Scholars can offer us only conjectures about who wrote it, who the intended audience was, and where and when it was written. |
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Third, scientists should regard theories as at best interesting conjectures. |
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Would they consider preconceived biases having influenced their conjectures? |
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To answer this is, however, to wander into a Daedalian labyrinth of conjectures. |
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Please avoid general conjectures about when such unreliable assurances must doubtless have been made. |
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Woodward ended the questioning session with facetious conjectures for the outcome of the upcoming election. |
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When he asks about the evolution of humans, for example, he focuses on ancestral DNA rather than on conjectures about hominid ethology. |
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To express doubts about the heir apparent based on rumours and wild conjectures is not the way to initiate debate about the issue. |
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He made major contributions to the inverse problem of Galois theory as well as to class field theory, thereby solving some long outstanding conjectures. |
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The technique operates on the principle that several heads are better than one when identifying problems, solving problems, or making conjectures about the future. |
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The refreshing night breeze suddenly seemed much more appealing than spending the next half hour sitting amongst people who were making false conjectures about me. |
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We can also estimate the surprisingness of applicability conjectures, by assessing how likely it is that a production rule step would produce very few models. |
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There still remain unproven conjectures such as the finiteness and consistency of any superstring theory, past the first three terms of a certain approximation scheme. |
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It would be instantiated by conjectures, assumptions, and perhaps also by forceless utterances. |
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Such workshops will allow scientists to turn conjectures based on one instrument's tantalizing results into conclusions based on many separate lines of evidence. |
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Analyze and prove conjectures, using inductive and deductive reasoning, to solve problems. |
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By providing a molecular model of how the protein moves, experimental ideas and conjectures on the proton transfer process can be considered in some detail. |
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Although conjectures can to some degree be intuited by deductive and inductive reasoning, they must be proven with absolute rigour. |
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The camera lucida, however, was invented in 1806, and Hockney conjectures that Ingres must have used just such an optical device to do his portraits. |
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Based on a 1978 observation by mathematician John McKay, Conway and Norton formulated the complex of conjectures known as monstrous moonshine. |
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Finally, we study arc-decompositions of antistrong digraphs and pose several problems and conjectures. |
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Entire vills sir Henry Spelman conjectures to have consisted of ten freemen, or frank-pledges. |
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In Proofs and Refutations, Lakatos gave several basic rules for finding proofs and counterexamples to conjectures. |
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He thought that mathematical 'thought experiments' are a valid way to discover mathematical conjectures and proofs. |
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We also over-weight such vaine future conjectures, which infant-spirits give us. |
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This lack of knowledge of what lay north of the shifting barrier of ice gave rise to a number of conjectures. |
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To the Editor: Ross Douthat proposes that the conjectures and affections surrounding the legacy of President John F. Kennedy are somehow akin to cultism. |
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The long-term result, he conjectures, is that resources will be expended increasingly to incarcerate an older and less dangerous prison population, while younger offenders will face a lower chance of being caught. |
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The interval can thus be interpreted as a range of reasonableness for conjectures about the true mean price ratio: intuitively, any conjectured value beyond this range is too far from the reported mean ratio to be believable. |
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After spending a few minutes listening to the interesting plans and conjectures, she stepped to the teacher's desk, tinkled the bell, and smilingly declared, 'Let's come to order now and get on with the work of the day! |
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This idea of commitment can also serve to distinguish between assertion proper and weaker constative forms, such as guesses and conjectures, since these differ from assertion with respect to commitment. |
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Deligne used a new theory of cohomology called étale cohomology, drawing on ideas originally developed by Alexandre Grothendieck some 15 years earlier, and applied them to solve the deepest of the Weil conjectures. |
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Pierre Deligne has himself put forward conjectures that have been proven by other researchers, which shed light on various fields of mathematics, or even physics, such as string theory. |
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Therefore, the projections and assumptions contained in the provisional Regulation were not conjectures or allegations, but the result of a thorough analysis of the situation. |
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Rather, they seemed to work enclosed within certain models,certain ways of proceeding, grounded on the skills and conjectures given to them in their scientific training. |
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The province of his birth remains unknown, though various conjectures suggest Gallia Belgica, Gallia Narbonensis, or northern Italy. |
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Neither identified sources nor analogues for Beowulf can be definitively proven, but many conjectures have been made. |
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All scientific theories are conjectures, even those that have successfully passed many severe and varied tests. |
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Mathias conjectures that this may have been the first book to be printed in Welsh. |
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That Jesus was straightforward and that Paul and Jesus were both high on tendermindedness are conjectures on which few would disagree. |
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Such has been the perplexing ingenuity of commentators that it is difficult to extricate the truth from the web of conjectures. |
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The trial court gave the decision on presumptions and conjectures which have no value in the eyes of the law. |
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Besides, two new conjectures regarding the existence and non-existence of perfect numbers had been proposed by Kalita. |
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The scientists in general and number theorist in particular have been thinking since the establishment of the conjectures to get the formal proof of them. |
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Number theory has been enriched by diophantine analysis since the third century, but it is still a very active study and includes many open questions and conjectures. |
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A major part of our work will concern proving special cases and relativized versions of these conjectures in order to provide evidence for their truth. |
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Amongst professional men, who have examined this singular foetus, a variety of opinions and conjectures have been formed, some of which it maybe well to notice. |
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The biography includes conjectures about the writer's earliest ambitions. |
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