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积分对数
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  “积分对数”译为未确定词的双语例句
     GENERALIZED INTEGRAL LOGARITHMS AND TWO EXAMPLES OF SUMMATION OF FOURIER SERIES
     推广的积分对数与Fourier级数求和法的两个例子
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     This article presents not only the π(x)'s easier caculation, but the approaching formula,which is equal to "lix" R(x)=x/logx,sum from k=0 to(log x/e~(1/2)) kl1/(logx)~k,it also provides exponent's integral, when variability is limited and the approximate caculation formation for the logarithm's integral.
     本文给出π(x)的比较容易计算且与lix等价的最佳渐近式:R(X)=x/logx sum from k=0 to (log-x/e~(1/2)) k! /(logx)~k 并且给出变数有限时的指数积分,对数积分的近似计算公式。
短句来源
     The mean LN was significantly lower in vessels with diffuse ectasia than in those with discrete ectasia (1.22±1.79 vs 2.86±1.85, P<0.05).
     弥漫性扩张动脉的钙化积分对数转换值显著低于局限性扩张动脉 (1.2 2± 1.79比 2 .86± 1.85 ,P <0 .0 5 )。
短句来源
  相似匹配句对
     ON THE σ-PRODUCTS
     σ-
短句来源
     GENERALIZED INTEGRAL LOGARITHMS AND TWO EXAMPLES OF SUMMATION OF FOURIER SERIES
     推广的分对数与Fourier级数求和法的两个例子
短句来源
     BLASCHKE PRODUCT OF COEFFI CTENTS
     Blaschke的系数
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In this paper, by taking use of Gelfand's method [3], We discuss M. Riesz's integrals and define complex powers of Laplace operator Δ, wave operator□, and heat operator /t-Δ_x.

关于发散积分在偏微分方程中的产生、发展与系统的应用,在F.Bureau的文章中有一个很好的历史综述。从Hadamard发散积分的有限部分(pf.)和Bureau发散积分的对数部分(pl.)的原始定义来看,这个概念是不容易理解的。M.Riesz提出用含有复参数的定积分的解析延拓来解释pf.,用一阶极点处留数的负值来解释pl.,用Laurent展开的自由项来解释在奇点处的pf.,这种解析延拓及留数计算法使得pf.和pl.变得易于掌握。 M.Riesz是用一些微分公式作为其解析延拓的基础,并发现他引入的那些含复参数的积分算子在奇异点上就取微分算子。之后在他的广义函数著作中发展了留数计算法,用具有幂式奇点广函的正则化完满地讨论了单变元的Riemann-Liouville积分,由此定义了任意复数阶微分(d/dx)~a。本文用的这种方法和他的某些留数计算来讨论M.Riesz积分,从而定义Laplace算于△、波动算子□和热传导算子(?)/(?)t-△_x的任意复数次幂,去掉这些算子的半群性质——“指数律”中对复参数的限制,并将这三类算子的基本解概括到我们的定义中。

In the frame of non-relativity the Fokker-Planck equations for the interaction between magneto-monopoles and charged particles has been studied in this paper. According to the traditional dynamical method, we at first find out the trajectories of the collision between a monopole and a charged particle, and obtain the scattering angles during the collision, and then calculate the average deviations of the first order as well as the second order velocities, finally obtain the relaxation-times for the interaction...

In the frame of non-relativity the Fokker-Planck equations for the interaction between magneto-monopoles and charged particles has been studied in this paper. According to the traditional dynamical method, we at first find out the trajectories of the collision between a monopole and a charged particle, and obtain the scattering angles during the collision, and then calculate the average deviations of the first order as well as the second order velocities, finally obtain the relaxation-times for the interaction between monopole and charged particle. The analytical representations of three different relaxation-times-slowing time, collisional time and energy exchanging time are given. Comparing these representations with those for the interaction among various charged particles, we find that the former is generally larger than the latter respectively by a factor of (cΓ-1)2 (c-light velocity,Γ1--thermal velocity). Therefore, the interaction between monopole and charged particle is usually weak. But in some astrophysical circumstances the influence of monopoles on charged particles can not be neglected, and it is expected that the MHD equations should be modified adequately. Finally the closed MHD equations for the plasma containing magneto-monopoles are recited.

本文研究了在非相对论情况下磁单极子-带电粒子的Fokker-Planck方程,计算了此方程中的速度一阶二阶平均量。我们发现,和带电粒子间的相互作用很类似,磁单极-带电粒子的碰撞积分是对数式发散的,这表明远程碰撞仍然起主要作用,近距碰撞可略而不计。此外在热力学平衡分布下,给出了磁单极子-带电粒子作用的三个弛豫时间——慢化、偏转和能量交换时间——的解析表达式,并同早已熟知的荷电粒子间的弛豫时间作了比较,发现前者一般比后者大一因子:(光速/热速)~2。因此通常条件下磁单极和荷电粒子间的作用是微弱的。但在某些天体物理条件下磁单极对荷电粒子群的影响是不可忽略的,从而可期磁流体力学方程应作相应的修改,最后我们列出了含磁单极的等离子体中的封闭的MHD方程组。

Aim To investigate the features of coronary artery calcification (CAC) determined by electron beam computed tomography (EBCT) in patients with coronary artery ectasia. Methods In 27 patients who were diagnosed as coronary artery ectasia by coronary angiography, EBCTs were performed for calculating calcium score (CS). The calcium scores were compared between patients and angiographically normal subjects matched for sex and age. Results The CAC prevalence, CS median and LN (the mean natural logarithm...

Aim To investigate the features of coronary artery calcification (CAC) determined by electron beam computed tomography (EBCT) in patients with coronary artery ectasia. Methods In 27 patients who were diagnosed as coronary artery ectasia by coronary angiography, EBCTs were performed for calculating calcium score (CS). The calcium scores were compared between patients and angiographically normal subjects matched for sex and age. Results The CAC prevalence, CS median and LN (the mean natural logarithm transformation of calcium score) were all greater in ectasia group than in control group (P<0.01 or 0.001). Coronary artery calcification existed in 17 of the 21 patients with atherosclerotic coronary artery ectasia (81.0%). The mean LN was significantly lower in vessels with diffuse ectasia than in those with discrete ectasia (1.22±1.79 vs 2.86±1.85, P<0.05). Conclusion Coronary artery calcification exists in most of the patients with atherosclerotic coronary artery ectasia, and the extent of calcium is related to the types of ectasia.

为探讨冠状动脉瘤样扩张患者电子束CT检测的冠状动脉钙化的特点及其临床和病理意义 ,将 2 7例经选择性冠状动脉造影确诊的冠状动脉瘤样扩张患者行电子束CT检查以计算钙化积分 ,并与 2 7例年龄和性别匹配的冠状动脉造影正常者进行比较。结果发现 ,冠状动脉瘤样扩张组钙化阳性率、钙化积分中位数及钙化积分的自然对数转换值均显著高于正常对照组 (P <0 .0 1或 0 .0 0 1)。冠状动脉瘤样扩张组中 2 1例粥样硬化性瘤样扩张患者钙化阳性率为 81.0 % ;弥漫性扩张动脉的钙化积分对数转换值显著低于局限性扩张动脉 (1.2 2± 1.79比 2 .86± 1.85 ,P <0 .0 5 )。结果提示 ,粥样硬化性冠状动脉瘤样扩张患者多数存在较为广泛的冠状动脉钙化 ,且钙化程度与病变类型有关。

 
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