We prove the equidistribution of subsets (R/Z)n defined by fractional parts (Z/qZ)n that are constructed using Chinese Remainder Theorem.

In this article we review the existing fertility preservation options for women diagnosed with Turner syndrome and provide practical guidelines for the practitioner. Turner syndrome is the most common sex chromosome abnormality in women, occurring in approximately 1 in 2500 live births. Women with Turner syndrome are at extremely high risk for primary ovarian insufficiency and infertility. Alth...

OBJECTIVES Repair and preservation of the aortic valve in Type A aortic dissection (AAD) remains controversial. We performed a meta-analysis of outcomes for aortic valve (AV) repair and preservation in AAD focusing on long-term valve-related events. METHODS Structured searches were performed in Embase (1980-2013) and PubMed (1966-2013) for studies reporting AV repair or preservation in AAD. E...

Let F be the class of all 1-periodic real functions with absolutely convergent Fourier series expansion and let (xn)n≥0 be the van der Corput sequence. In this paper results on the boundedness of ∑N−1 n=0 f(xn) for f ∈ F are given. We give a criterion on the convergence rate of the Fourier coefficients of f such that the above sum is bounded independently of N . Further we show that our result ...

Using an adaptation of Qin Jiushao’s method from the 13th century, it is possible to prove that a system of linear modular equations ai1xi + · · · + ainxn = ~bi mod ~ mi, i = 1, . . . , n has integer solutions if mi > 1 are pairwise relatively prime and in each row, at least one matrix element aij is relatively prime to mi. The Chinese remainder theorem is the special case, where A has only one...

This study conducted scientific analysis and preservation treatment for the local 7 relics (depurator bottle, eagle patten button, rank insignia, mess tin, M1 Grand-gun cleaning tool kit, Carbine bullet, cartridge) of fallen Korean War excavated through MND Agency KIA Recovery & Identification that are possessed in exhibition hall Ground Operations Command. FT-IR results show remainder depu...

Recently, Chinese Remainder Theorem (CRT) based function sharing schemes are proposed in the literature. In this paper, we investigate how a CRT-based threshold scheme can be enhanced with the robustness property. To the best of our knowledge, these are the first robust threshold cryptosystems based on a CRT-based secret sharing.

A resolution of the intersection of a finite number of subgroups of an abelian group by means of their sums is constructed, provided the lattice generated by these subgroups is distributive. This is used for detecting singularities of modules over Dedekind rings. A generalized Chinese remainder theorem is derived as a consequence of the above resolution. The GelfandNaimark duality between finit...