圆形分布资料采用圆形分布方法分析,其变量均值采用角均值(度)表示。由于在求角均值 a 时需求反三角函数,而直接求得的反三角函数的值域并不在整个360度范围内,还需根据 X 和 Y,或 sinα和 cosα值的符号确定角口所在象限后才能在360度...圆形分布资料采用圆形分布方法分析,其变量均值采用角均值(度)表示。由于在求角均值 a 时需求反三角函数,而直接求得的反三角函数的值域并不在整个360度范围内,还需根据 X 和 Y,或 sinα和 cosα值的符号确定角口所在象限后才能在360度范围内求得角均值α。这一具体过程在许多统计学著作中没有具体给出,因而容易出错。洪楠曾对这一问题作了探讨,指出一些文献中在确定角α时的错误,并提出相应确定角α的计算公式,如式(1):展开更多
In the present paper,we generalize some classical results in convergence and integrability for trigonometric series with varying coefficients(may change signs),by introducing a new ultimate condition upon coefficient ...In the present paper,we generalize some classical results in convergence and integrability for trigonometric series with varying coefficients(may change signs),by introducing a new ultimate condition upon coefficient sequences.This is a comprehensive systematic work on the topic.展开更多
In this paper, a sample including 68 blazars (18 BL Lacs and 50 FSRQs) with known Doppler factors and superluminal velocity from our previous papers is presented. Both the Lorentz factors (/') and viewing angles (...In this paper, a sample including 68 blazars (18 BL Lacs and 50 FSRQs) with known Doppler factors and superluminal velocity from our previous papers is presented. Both the Lorentz factors (/') and viewing angles (0) are estimated for the 68 sources The relationship between BL Lacs and FSRQs is also revisited using the two variables off'and 0. The Lorenz factors are in the range of 2.33 to 64.07. The viewing angles are in the range of 0.04 to 24.56. The averaged value of the viewing angle for BL Lacs is slightly larger than that for FSRQs, while the averaged value of the Lorentz factor for BL Lacs is smaller than that for FSRQs.展开更多
文摘圆形分布资料采用圆形分布方法分析,其变量均值采用角均值(度)表示。由于在求角均值 a 时需求反三角函数,而直接求得的反三角函数的值域并不在整个360度范围内,还需根据 X 和 Y,或 sinα和 cosα值的符号确定角口所在象限后才能在360度范围内求得角均值α。这一具体过程在许多统计学著作中没有具体给出,因而容易出错。洪楠曾对这一问题作了探讨,指出一些文献中在确定角α时的错误,并提出相应确定角α的计算公式,如式(1):
文摘In the present paper,we generalize some classical results in convergence and integrability for trigonometric series with varying coefficients(may change signs),by introducing a new ultimate condition upon coefficient sequences.This is a comprehensive systematic work on the topic.
基金supported by the National Natural Science Foundation of China (Grant Nos. 10633010 and 11173009)the National Basic Research Program of China (Grant No. 2007CB 815405)+4 种基金the Bureau of Education of Guangzhou Municipality (Grant No. 11 Sui-Jiao-Ke[2009])Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme(GDUPS) (2009), Yangcheng Scholar Funded Scheme (Grant No.10A027S)Hunan Provincial Natural Science Foundation of China (Grant No. 10JJ3020)the Fund of the 11th Five-year Plan for Key Construction Academic Subject (Optics) of Hunan Provincethe research fund of Hunan University of Arts and Science (Grant No. JJZD201101)
文摘In this paper, a sample including 68 blazars (18 BL Lacs and 50 FSRQs) with known Doppler factors and superluminal velocity from our previous papers is presented. Both the Lorentz factors (/') and viewing angles (0) are estimated for the 68 sources The relationship between BL Lacs and FSRQs is also revisited using the two variables off'and 0. The Lorenz factors are in the range of 2.33 to 64.07. The viewing angles are in the range of 0.04 to 24.56. The averaged value of the viewing angle for BL Lacs is slightly larger than that for FSRQs, while the averaged value of the Lorentz factor for BL Lacs is smaller than that for FSRQs.
