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Concerning these sums, many authors had studied their properties and obtained a series of interesting results, see [1, 2].
Differences between the two age groups concerning these sums of risk alleles were initially examined using the Mann-Whitney U test.
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Likewise, diabetic patients with neuropathia and those without did not differ concerning the sum of GERD symptoms (median 3, IQR 2 4, vs. median 3, IQR 2 5, respectively; p = 0.411).
We extend to larger classes of norms some inequalities concerning sums of positive operators and sums of operators having orthogonal ranges.
In this paper, the exact moment convergence rates in the law of the iterated logarithm and the law of the logarithm of are obtained, which extend previous results concerning partial sums.
This construction is then used to provide solutions to several other problems which have been studied concerning the direct-sum splitting of operator algebras, Scott Brown's technique, the theory of bitriangular operators, and parareflexivity.
Once returns are divided up among the total population concerned, apparently high aggregate sums allocated to communities soon become insignificant as one-off payments.
It's no wonder that the business people I spoke with were concerned about the sum total of the Canadian government's actions on digital privacy.
However, here we are only concerned with cumulative sums.
The present paper is concerned with the sums of the products of an arbitrary number of the above-mentioned polynomials and numbers.
Also, we get some combinatoric identities like as harmonic and hyperharmonic numbers and we obtain some useful formulas for (mathbb{F}_{n}), which is concerned with finite sums of reciprocals of Fibonacci numbers.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com