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Introduction: The natural environment may benefit children's social, emotional and behavioural wellbeing, whilst offering a lever to narrow socioeconomic health inequalities.
Paul McCrorie +4 more
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Packing 10 or 11 Unit Squares in a Square [PDF]
Let $s(n)$ be the side of the smallest square into which it is possible pack $n$ unit squares. We show that $s(10)=3+\sqrt{1\over 2}\approx3.707$ and that $s(11)\geq2+2\sqrt{4\over 5}\approx3.789$. We also show that an optimal packing of $11$ unit squares with orientations limited to $0$ degrees or $45$ degrees has side $2+2\sqrt{8\over 9}\approx3 ...
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Background Hyperinflammation-induced respiratory failure is a leading cause of mortality in COVID-19 infection. Immunosuppressants such as, Baricitinib and interleukin inhibitors are the drug-of-choice to suppress cytokine storm in COVID-19.
Md Jahidul Hasan +3 more
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On the symmetric square. Unit elements [PDF]
\textit{J.-L. Waldspurger}'s recent coherence result [Publ. Math., Inst. Hautes Etud. Sci. 81, 25-72 (1995; Zbl 0841.22009)] for the germ expansion of the orbital integral of the unit element in the Hecke algebra on the topologically unipotent set, and Kazhdan's decomposition of compact elements into topologically unipotent and absolutely semi-simple ...
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Packing Unit Squares in a Rectangle [PDF]
For a positive integer $N$, let $s(N)$ be the side length of the minimum square into which $N$ unit squares can be packed. This paper shows that, for given real numbers $a,b\geq 2$, no more than $ab -(a+1-\lceil a\rceil) -(b+1-\lceil b\rceil)$ unit squares can be packed in any $a'\times b'$ rectangle $R$ with $a' < a$ and $b' < b$. From this, we
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Predicting outcome in clinically isolated syndrome using machine learning
We aim to determine if machine learning techniques, such as support vector machines (SVMs), can predict the occurrence of a second clinical attack, which leads to the diagnosis of clinically-definite Multiple Sclerosis (CDMS) in patients with a ...
V. Wottschel +8 more
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Background: Multiple sclerosis (MS) has traditionally been regarded as a disease confined to the central nervous system (CNS). However, neuropathological, electrophysiological, and imaging studies have demonstrated that the peripheral nervous system (PNS)
Ratthaporn Boonsuth +20 more
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Spinal cord (SC) atrophy, i.e. a reduction in the SC cross-sectional area (CSA) over time, can be measured by means of image segmentation using magnetic resonance imaging (MRI).
Marios C. Yiannakas +11 more
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Unit squares intersecting all secants of a square [PDF]
Let S be a square of side length s > 0. We construct, for any sufficiently large s, a set of less than 1.994 s closed unit squares whose sides are parallel to those of S such that any straight line intersecting S intersects at least one square of S. It disproves L.
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Deep brain stimulation (DBS) of the pedunculopontine nucleus (PPN) is a relatively new treatment approach for the axial symptoms of Parkinson's disease (PD) and Progressive Supranuclear Palsy (PSP).
Friederike Leimbach +5 more
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