allenai/sci-sentences-10k · Datasets at Hugging Face

sentences sequence	tags sequence
[ "elle", " montre", " les", "\nremaniements", "\nde", "\nl", "'", "os", "\nspongieux", "\nintramédullaire", "\n(", "œdème", "\nintraosseux", ")", " et", " des", " parties", " molles", " périlésionnelles", " en", " rapport", " avec", " la", "\nsynovite", ".", "Ces", " lésions", " apparaissent", " hyperintenses", " dans", " les", " séquences", "\npondérées", " en", " T2", " et", " en", " saturation", " de", " graisse", " [", "2", ",", "3", "]", ".", "Assoun", " et", " al", ".", " [", "7", "]", "\nont", " montré", " une", " corrélation", " significative", " entre", " la", " présence", " ou", "\nl", "'", "absence", " des", " remaniements", " de", " l", "'", "os", " spongieux", " et", " des", " parties", " molles", "\npérilésionnelles", " visibles", " sur", " l", "'", "IRM", " avec", " la", " prise", " d", "'", "un", " traitement", " anti", "-", "\ninflammatoire", ".", "La", " réaction", " œdémateuse", " qui", " intéresse", " l", "'", "os", " spongieux", "\nou", " les", " parties", " 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donc", " associer", " une", " IRM", "\net", " une", " TDM", " en", " coupes", " fines", " centrées", " sur", " la", " lésion", ".", "Chacun", " de", " ces", "\ndeux", " examens", " amenant", " des", " informations", " utiles", " au", " diagnostic", " positif", "\nfinal", " [", "11", "]", ".", "Il", " précisera", " aussi", " la", " localisation", ",", " la", " taille", " ainsi", " que", " les", "\nrapports", " de", " la", " lésion", " avec", " les", " autres", " structures", ",", " notamment", " les", "\nsurfaces", " articulaires", ".", "Il", " permet", " de", " planifier", " le", " traitement", " chirurgical", "\nqui", " consiste", " en", " l", "'", "excision", " de", " la", " totalité", " du", " nidus", " pour", " prévenir", " les", "\nrécidives", " [", " 7", " ,", " 8", " ]", ".", "Conclusion", "Les", " ostéomes", " ostéoïdes", " du", " talus", " sont", " rares", ".", "La", " symptomatologie", " est", "\ntrompeuse", ".", "En", " cas", " de", " doute", " diagnostique", " et", " devant", " des", "\nradiographies", " normales", ",", " l", "'", "examen", " le", " plus", " spécifique", " est", " la", "\ntomodensitométrie", " en", " coupes", " fines", ",", " dont", " la", " sensibilité", " peut", " être", "\naméliorée", " par", " l", "'", "association", " à", " une", " IRM", ".", "L", "'", "imagerie", " permet", " ainsi", "\nd", "'", "affirmer", " le", " diagnostic", " avant", " la", " cure", " chirurgicale", " de", " la", " lésion", " qui", "\ndoit", " être", " complète", ".", "Conflits", " d’intérêts", "Les", " auteurs", " ne", " déclarent", " aucun", " conflit", " d", "'", "intérêts", ".", "Contributions", " des", " auteurs", "Tous", " les", " auteurs", " sont", " contribués", " à", " ce", " travail", ".", "Ils", " ont", " tous", " lu", " et", "\napprouvé", " la", " version", " finale", " du", " manuscrit", ".", "Figures", "Figure", " 1", " :", " Radiographie", " de", " la", " cheville", " face", " et", " profil", " évidence", " une", "\nplage", " hétérogène", 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[ "tum", " eigenstates", " as", " X", " (", " t", " )", " \|", " x", " (cid:105)", " −→", " \|", " x", " +", " t", " (cid:105)", " and", " Z", " (", " s", " )", " \|", " p", " (cid:105)", " −→", "\n\|", " p", " +", " s", " (cid:105)", " .", "The", " elements", " of", " the", " computational", " basis", " {", "\|", " x", " (cid:105)", "}", "\nare", " the", " eigenstates", " of", " Z", " (", " s", " )", " with", " eigenvalues", " e", " is", " ·", " x", " while", " the", "\nelements", " of", " the", " conjugate", " basis", " {", "\|", " p", " (cid:105)", "}", " are", " eigenstates", " of", "\nX", " (", " t", " )", " with", " eigenvalues", " e", " −", " itp", " .", "The", " evolution", " of", " the", " phase", "-", "\nspace", " operators", " under", " the", " action", " of", " the", " CV", " Pauli", " opera", "-", "\ntors", " is", "\nX", " †", " (", " t", " )", " x", " X", " (", " t", " )", " =", " x", " +", " t", " ;", "\n(", "30a", ")", "\nX", " †", " (", " t", " )", " p", " X", " (", " t", " )", " =", " p", " ,", "\n(", "30b", ")", "\nand", "\nZ", " †", " (", " s", " )", " x", " Z", " (", " s", " )", " =", " x", " ;", "\n(", "31a", ")", "\nZ", " †", " (", " s", " )", " p", " Z", " (", " s", " )", " =", " p", " +", " s", " ,", "\n(", "31b", ")", "\nEqs", ".", " (", "30", ")", " and", " (", "31", ")", " imply", " that", " the", " CV", " Pauli", " gates", " will", "\ndisplace", " the", " wave", " function", " of", " the", " single", " photon", " state", ".", "For", "\nposition", " displacement", " we", " have", "\nW", " out", " (", " x", " )", " =", " (cid:104)", " x", " \|", " X", " (", " t", " )", " \|", " ψ", " in", " (cid:105)", " =", " (cid:104)", " x", " −", " t", " \|", " ψ", " in", " (cid:105)", " =", " W", " in", " (", " x", " −", " t", " )", " .", "\n(", "32", ")", "\nFor", " wave", " vector", " displacement", ",", " we", " have", "\nV", " out", " (", " p", " )", " =", " (cid:104)", " p", " \|", " Z", " (", " s", " )", " \|", " ψ", " in", " (cid:105)", " =", " 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[ "i", " (", " R", " n", " )", " ,", " then", " f", " ∈", " BLO", " rec", " ,", " S", " (", " R", " n", " 1", " ×", " R", " n", " 2", " ×", " .", " .", " .", " ×", " R", " n", " k", " )", " with", "\nk", " f", " k", " BLO", " rec", " ,", " S", " ≤", " min", " 1", " ≤", " i", " ≤", " k", " {", "k", " f", " k", " BLO", " S", " i", " }", " .", "Proof", ".", " Write", "\n−", "\nZ", " S", "\n[", " f", " (", " z", " )", " −", " max", " 1", " ≤", " i", " ≤", " k", " {", " ess", " inf", " S", " i", "\nf", " ˆ", " z", " i", " }", " ]", " dz", " ≤", " −", "\nZ", " S", "\n[", " f", " (", " z", " )", " −", " ess", " inf", " S", " i", "\nf", " ˆ", " z", " i", " ]", " dz", "\n≤", " −", "\nZ", " ˆ", " S", " i", "\nk", " f", " ˆ", " z", " i", " k", " BLO", " S", " i", " dz", " ≤", " k", " f", " k", " BLO", " S", " i", "\nfor", " each", " 1", " ≤", " i", " ≤", " k", " ,", " where", " ˆ", " S", " i", " is", " the", " result", " of", " deleting", " S", " i", " from", " S", " .", "From", " this", " it", " follows", " that", "\nBLO", " S", " i", " (", " R", " n", " )", " ⊂", " BLO", " rec", " ,", " S", " (", " R", " n", " 1", " ×", " R", " n", " 2", " ×", " .", " .", " .", " ×", " R", " n", " k", " )", " for", " 1", " ≤", " i", " ≤", " k", " .", "(cid:3)", "\nProposition", " 5", ".", "11", ".", " If", " f", " ∈", " BLO", " S", " (", " R", " n", " )", " ,", " then", " f", " ∈", " BLO", " rec", " ,", " S", " (", " R", " n", " 1", " ×", " R", " n", " 2", " ×", " ·", " ·", " ·", " ×", " R", " n", " k", " )", " with", "\nk", " f", " k", " BLO", " rec", " ,", " S", " ≤", " k", " f", " k", " BLO", " S", " .", "Proof", ".", " This", " follows", " from", " the", " fact", " that", "\ness", " inf", " S", "\nf", " ≤", " max", " 1", " ≤", " i", " ≤", " k", " {", " ess", " inf", " S", " i", "\nf", " ˆ", " z", " i", " }", "\nholds", " almost", " everywhere", ".", "Therefore", ",", "\n−", "\nZ", " S", "\n[", " f", " (", " z", " )", " −", " max", " 1", " ≤", " i", " ≤", " k", " {", " ess", " inf", " S", " i", "\nf", " ˆ", " z", " i", " }", " ]", " dz", " ≤", " −", "\nZ", " S", "\n[", " f", " (", " z", " )", " −", " ess", " inf", " S", "\nf", " ]", " dz", " ≤", " k", " f", " k", " BLO", " S", " .", "(cid:3)", "\nRemark", " 5", ".", "12", " .", " In", " the", " case", " where", " each", " S", " i", " contains", " a", " differentiation", " basis", " that", " differentiates", "\nL", " 1loc", " (", " R", " n", " i", " )", ",", " another", " proof", " is", " possible", " using", " Theorem", " 4", ".", "6", " and", " Proposition", " 5", ".", "10", ",", " by", " analogy", " with", "\nRemark", " 5", ".", "4", ".", "One", " way", " of", " generating", " a", " function", " in", " BLO", " S", " (", " R", " n", " )", " is", " demonstrated", " in", " the", " following", " example", ".", "This", " allows", " us", " to", " exhibit", " a", " function", " in", " BLO", " rec", " ,", " S", " with", " non", "-", "zero", " norm", ".", "Example", " 5", ".", "13", ".", " Let", " g", " (", " x", " )", " ∈", " BLO", "(", " R", " )", " and", " then", " consider", " f", " (", " x", ",", " y", " )", " =", " g", " (", " x", " −", " y", " )", ".", "Writing", " I", " x", "\nfor", " the", " basis", " of", " intervals", " in", " the", " x", " -", "direction", " and", " analogously", " for", " I", " y", " ,", " we", " have", " that", " f", " ∈", "\nBLO", " I", " x", " (", " R", " 2", " )", " ∩", " BLO", " I", " y", " (", " R", " 2", " )", ".", "From", " Theorem", " 4", ".", "6", ",", " it", " follows", " that", " f" ]	[ "B-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", 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and", " sporocysts", ".", " In", " some", " cases", ",", " these", " methods", " may", " be", " used", "to", " compare", " mean", " measurements", " of", " specific", " structures", " considered", "relevant", " to", " identification", ",", " such", " as", " the", " Stieda", " and", " substieda", " bodies", "\n(", "BERTO", " et", " al", ".", ",", " 2011c", ")", ".", " The", " mean", " comparison", " tests", " may", " also", " be", "utilized", " to", " compare", " additional", ",", " quantitative", " parameters", " determined", "for", " the", " specific", " oocysts", " under", " investigation", ".", " As", " an", " example", ",", "Berto", " et", " al", ".", " (", "2013b", ")", " employed", " ANOVA", " to", " compare", " the", " values", " of", "an", " algorithm", " developed", " for", " the", " identification", " of", " coccidian", " parasites", "of", " Japanese", " quails", ".", " In", " general", ",", " these", " types", " of", " mean", " comparison", "tests", " are", " used", " for", " comparing", " coccidian", " species", " recovered", " from", "the", " same", " host", "/", "family", " or", " alternatively", " they", " may", " be", " employed", " for", "comparing", " the", " same", " coccidian", " species", " recovered", " from", " different", "host", " species", " (", "GOMEZ", " et", " al", ".", ",", " 1982", ";", " BALTHAZAR", " et", " al", ".", ",", " 2009a", ";", "BERTO", " et", " al", ".", ",", " 2008g", ",", " h", ",", " 2010c", ",", " 2011a", ",", " b", ",", " 2013b", ")", "Molecular", " biology", "An", " analysis", " of", " recent", " literature", " dealing", " with", " the", " detection", ",", "systematics", " and", " taxonomy", " of", " the", " coccidia", " reveals", " that", ",", " in", " common", "with", " numerous", " other", " areas", " of", " parasitology", " and", " microbiology", ",", " the", "application", " of", " molecular", " methods", " has", " steadily", " increased", " since", " the", "mid", " 90’s", " and", " is", " now", " a", " firmly", " established", " practice", ",", " particularly", "with", " regard", " to", " the", " coccidian", " parasites", " of", " production", " animals", "\n(", "CARVALHO", " et", " al", ".", ",", " 2011", ";", " CHAPMAN", " et", " al", ".", ",", " 2013", ")", ".", " The", "principal", " molecular", " method", " employed", " is", " the", " polymerase", " chain", "reaction", " (", "PCR", ")" ]	[ "B-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "B-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "B-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", "I-SENTENCE", 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"I-SENTENCE", "I-SENTENCE", "I-SENTENCE" ]

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