In this research we are going to define two new concepts: a) “The Potential of Events” (EP) and b) “The Catholic Information” (CI). The term CI derives from the ancient Greek language and declares all the Catholic...In this research we are going to define two new concepts: a) “The Potential of Events” (EP) and b) “The Catholic Information” (CI). The term CI derives from the ancient Greek language and declares all the Catholic (general) Logical Propositions (<img src="Edit_5f13a4a5-abc6-4bc5-9e4c-4ff981627b2a.png" width="33" height="21" alt="" />) which will true for every element of a set A. We will study the Riemann Hypothesis in two stages: a) By using the EP we will prove that the distribution of events e (even) and o (odd) of Square Free Numbers (SFN) on the axis Ax(N) of naturals is Heads-Tails (H-T) type. b) By using the CI we will explain the way that the distribution of prime numbers can be correlated with the non-trivial zeros of the function <em>ζ</em>(<em>s</em>) of Riemann. The Introduction and the Chapter 2 are necessary for understanding the solution. In the Chapter 3 we will present a simple method of forecasting in many very useful applications (e.g. financial, technological, medical, social, etc) developing a generalization of this new, proven here, theory which we finally apply to the solution of RH. The following Introduction as well the Results with the Discussion at the end shed light about the possibility of the proof of all the above. The article consists of 9 chapters that are numbered by 1, 2, …, 9.展开更多
为建立地表移动的概率积分法计算参数与地质采矿条件之间的数学关系,以我国主要矿区的大量地表移动观测站实测数据为原始数据,采用逐步回归的方法建立了开采沉陷概率积分法参数与地质采矿条件之间的统计回归公式。采用中误差和威尔莫特...为建立地表移动的概率积分法计算参数与地质采矿条件之间的数学关系,以我国主要矿区的大量地表移动观测站实测数据为原始数据,采用逐步回归的方法建立了开采沉陷概率积分法参数与地质采矿条件之间的统计回归公式。采用中误差和威尔莫特一致性指数(WIA,Willmott’sIndex of Agreement)对回归公式的精度及预测能力进行评定,计算结果表明所建立的回归公式误差较小,各参数回归公式均具有较好的泛化性能。为进一步验证所建立的回归公式的正确性,以4个测试样本数据进行计算,计算结果与实测结果吻合。最后,以淮北某矿地表移动实测数据为例,计算结果表明采用统计规律所计算的概率积分法参数进行开采沉陷预计计算可以得到与实测相符的地表移动变形数据。研究成果为缺少实测资料矿区进行开采沉陷预测确定概率积分法参数提供了科学依据。展开更多
在API RP 581-2016和GB/T 26610.4-2014中对换热器管束失效概率的计算都是基于威布尔概率统计方法,但其计算过程有较大区别。出于工程应用的考虑,GB/T 26610.4中威布尔概率统计公式的参数选取较简单,并没有像API RP 581中给出其它的参...在API RP 581-2016和GB/T 26610.4-2014中对换热器管束失效概率的计算都是基于威布尔概率统计方法,但其计算过程有较大区别。出于工程应用的考虑,GB/T 26610.4中威布尔概率统计公式的参数选取较简单,并没有像API RP 581中给出其它的参数选取方式。文章采用威布尔双参数和三参数计算模型对示例换热器管束进行了失效概率计算,同标准计算结果进行对比发现:GB/T 26610.4中的计算方法拟合效果较差。同时提出了基于设计参数确定η参数的取值方法,并将其应用于示例计算,得到了拟合程度近似于GB/T 26610.4中的计算方法,可以用于换热管束失效概率计算。展开更多
文摘In this research we are going to define two new concepts: a) “The Potential of Events” (EP) and b) “The Catholic Information” (CI). The term CI derives from the ancient Greek language and declares all the Catholic (general) Logical Propositions (<img src="Edit_5f13a4a5-abc6-4bc5-9e4c-4ff981627b2a.png" width="33" height="21" alt="" />) which will true for every element of a set A. We will study the Riemann Hypothesis in two stages: a) By using the EP we will prove that the distribution of events e (even) and o (odd) of Square Free Numbers (SFN) on the axis Ax(N) of naturals is Heads-Tails (H-T) type. b) By using the CI we will explain the way that the distribution of prime numbers can be correlated with the non-trivial zeros of the function <em>ζ</em>(<em>s</em>) of Riemann. The Introduction and the Chapter 2 are necessary for understanding the solution. In the Chapter 3 we will present a simple method of forecasting in many very useful applications (e.g. financial, technological, medical, social, etc) developing a generalization of this new, proven here, theory which we finally apply to the solution of RH. The following Introduction as well the Results with the Discussion at the end shed light about the possibility of the proof of all the above. The article consists of 9 chapters that are numbered by 1, 2, …, 9.
文摘为建立地表移动的概率积分法计算参数与地质采矿条件之间的数学关系,以我国主要矿区的大量地表移动观测站实测数据为原始数据,采用逐步回归的方法建立了开采沉陷概率积分法参数与地质采矿条件之间的统计回归公式。采用中误差和威尔莫特一致性指数(WIA,Willmott’sIndex of Agreement)对回归公式的精度及预测能力进行评定,计算结果表明所建立的回归公式误差较小,各参数回归公式均具有较好的泛化性能。为进一步验证所建立的回归公式的正确性,以4个测试样本数据进行计算,计算结果与实测结果吻合。最后,以淮北某矿地表移动实测数据为例,计算结果表明采用统计规律所计算的概率积分法参数进行开采沉陷预计计算可以得到与实测相符的地表移动变形数据。研究成果为缺少实测资料矿区进行开采沉陷预测确定概率积分法参数提供了科学依据。
文摘在API RP 581-2016和GB/T 26610.4-2014中对换热器管束失效概率的计算都是基于威布尔概率统计方法,但其计算过程有较大区别。出于工程应用的考虑,GB/T 26610.4中威布尔概率统计公式的参数选取较简单,并没有像API RP 581中给出其它的参数选取方式。文章采用威布尔双参数和三参数计算模型对示例换热器管束进行了失效概率计算,同标准计算结果进行对比发现:GB/T 26610.4中的计算方法拟合效果较差。同时提出了基于设计参数确定η参数的取值方法,并将其应用于示例计算,得到了拟合程度近似于GB/T 26610.4中的计算方法,可以用于换热管束失效概率计算。
