نتایج جستجو برای: sums of three squares

تعداد نتایج: 21213642  

Journal: :Proceedings of the American Mathematical Society 1957

Journal: :Journal de Théorie des Nombres de Bordeaux 2003

2005
S. K. K. CHOI A. V. KUMCHEV

(1) r3(n) = 4πn S3(n), where the singular series S3(n) is given by (16) with Q = ∞. While in principle this exact formula can be used to answer almost any question concerning r3(n), the ensuing calculations can be tricky because of the slow convergence of the singular series S3(n). Thus, one often sidesteps (1) and attacks problems involving r3(n) directly. For example, concerning the mean valu...

Journal: :Journal of Number Theory 1993

Journal: :Rocky Mountain Journal of Mathematics 1983

E. Malan H.A. Smit K.F. Solomon, W.J. Du Toit

The objectives of this study were to assess the genotype (G) by environment (E) interaction of grain yield of durum wheat(Triticum durum Desf.) based on parametric models, additive main effects and multiplicative interaction (AMMI) and joint linear regression models; and compare the relative efficiency of the two models in explaining the GE effects. Twenty-three genotypes were evaluated across ...

Journal: :Int. J. Applied Earth Observation and Geoinformation 2015
Rui Xiao Shiliang Su Gengchen Mai Zhonghao Zhang Chenxue Yang

Cash crop expansion has been a major land use change in tropical and subtropical regions worldwide. Quantifying the determinants of cash crop expansion should provide deeper spatial insights into the dynamics and ecological consequences of cash crop expansion. This paper investigated the process of cash crop expansion in Hangzhou region (China) from 1985 to 2009 using remotely sensed data. The ...

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