Results 1 to 10 of about 1,741,837 (286)
A new circle method for measuring humeral torsion on MRI-scans less sensitive to Hill-Sachs lesions [PDF]
European Journal of Radiology Open, 2023 Objectives: The literature on humeral torsion angles (retrotorsion) reveals great inconsistencies between methodology and values. Decreased retrotorsion was suspected to correlate with instability, but evidence is contradictory. The measurement according
Stefan Demarmels +4 more
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The “angle” method of calculating glenoid bone loss: a validation study and review of current methods [PDF]
JSES InternationalHypothesis/Background: This study compares our “angle” method to the ''best-fit circle'' method and examines existing literature on glenoid bone loss measurement.
Lewis L. Shi, MD +3 more
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On pairs of equations in eight prime cubes and powers of 2
AIMS Mathematics, 2023 In this paper, it is proved that every pair of large positive even integers satisfying some necessary conditions can be represented in the form of a pair of eight cubes of primes and 287 powers of 2. This improves the previous result.
Gen Li, Liqun Hu, Xianjiu Huang
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The exceptional sets of a Waring-Goldbach problem with unequal powers
Xi'an Gongcheng Daxue xuebao, 2021 The representability of positive odd number n=p1+P32+p3k(k∈N and k≥4) was studied. The circle method in additive number theory and the iterative method in the circle method were used to deal with the main arcs and the exponential sum method was used to ...
Doudou ZHU
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Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2022 Roundrobin tournaments are widely used in sports leagues such as football and baseball leagues. The roundrobin tournament scheduling problem is one of the most wellknown problems in sports scheduling.
Yunjian CAO, Wei WU, Mutsunori YAGIURA
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Sums of the higher divisor function of diagonal homogeneous forms in short intervals
AIMS Mathematics, 2023 Let $ d_k(n) $ denote the k-th divisor function. In this paper, we give the asymptotic formula of the sum $ \sum\limits_{\substack{x-y\le n_i^r \le x+y \\ i = 1,2,\ldots,l} }{d_k(n_1^r+n_2^r+\ldots+n_l^r)}, $ where $ n_1, n_2, \ldots, n_l \in ...
Huimin Wang, Liqun Hu
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Exceptional set in Waring–Goldbach problem for sums of one square and five cubes
AIMS Mathematics, 2022 Let $ N $ be a sufficiently large integer. In this paper, it is proved that, with at most $ O\big(N^{4/9+\varepsilon}\big) $ exceptions, all even positive integers up to $ N $ can be represented in the form $ p_1^2+p_2^3+p_3^3+p_4^3+p_5^3+p_6^3 $, where $
Jinjiang Li +3 more
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Sum of the triple divisor function of mixed powers
AIMS Mathematics, 2022 Let $ d_3(n) $ denote the 3-th divisor function. In this paper, we study the asymptotic formula of the sum $ \sum\limits_{\substack{1 \leqslant n_1,n_2 \leqslant X^{\frac{1}{2}} \\ 1 \leqslant n_3 \leqslant X^{\frac{1}{k}}}} d_3(n_1^2+n_2^2+n_3^k)
Li Zhou, Liqun Hu
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Effectiveness of Using Center and Circle Methods to Increase Interest in Learning Early in Children
Child Education Journal, 2022 The purpose of this study was to determine the effectiveness of the Center and Circle method as an effort to increase interest in early childhood learning. The research subjects were children in KB TK Almutaqin Yogyakarta.
Titik Mulat Widyastuti +1 more
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Sign-Periodicity of Traces of Singular Moduli
Mathematics, 2013 Zagier proved that the generating functions of traces of singular values of Jm(z) are weight 3/2 weakly holomorphic modular forms. In this paper we prove that there is the sign-periodicity of traces of singular values of Jm(z).
Subong Lim, Dohoon Choi, Byungchan Kim
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