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The hairy ball theorem was proved long ago, but its higher-dimensional cousins have been more elusive.
Although it was proved long ago that people who lack enough intrinsic factor to absorb B12 can benefit from oral doses of the nutrient, most physicians were taught, and many still think, that it has to be given by injection as often as weekly to prevent life-threatening pernicious anemia.
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But settling the technical and financial details is proving long and frustrating, and success has eluded local leaders so far.
By the end of the day Long was proved correct.
Ronaldo was proved right too, as long as you don't include beating England in the last 16 as "anything".
In another study using Agricultural Health Study data [ 8], it was proven that long-term exposure to dichlorvos and trichlorfon among licensed pesticide applicators could increase the risk of incident diabetes mellitus.
The conspiracy theorists who predicted a draw that would put both sides through had been proved wrong long before Luis Suárez gave Uruguay the lead just before half-time.
Appropriate update laws for the weighting vectors are selected using the Lyapunov method so that asymptotic convergence of the output error can be proved as long as a sufficient number of basis functions are used.
Thus a number of potential theoretic properties and principles can be proved, answering long standing open problems even for the Brownian motion on abstract Wiener space, as, e.g., formulated by R. Carmona in 1980.
Opponents argue the increased risks of early failure due to femoral neck fracture and increased costs associated with MoM HRA implants overshadow the yet-to-be proven long-term benefits.
The electric force that is Björk proved long ago she was out to revolutionize the relationship between music, technology and environment, thus placing herself at the conceptual forefront of musical innovation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com