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mathematical justification
相关语句
  数学证明
     Mathematical Justification of the Dirac δ Function
     Diracδ函数的数学证明
短句来源
     According to the basic probility theory—central limit theorem and in combination with the volumetric method formular of estimating recoverable gas reserves,an interval estimation method of recoverable gas reserves and the formulars of estimating their minimum and maximum values are achieved in the paper through strictly mathematical justification and derivation,thus remedying the error and a series of problems made up by one point method estimation and raising the accuracy of the estimation.
     文章尝试从概率论的基础理论———中心极限定理出发,结合用容积法估算天然气可采储量的计算公式,通过严格的数学证明和推导,得出了天然气可采储量的一种区间估算方法,以及计算其最小值和最大值的公式,从而弥补了一点估计带来的估算不准确和一系列问题,提高了估算的准确程度。
短句来源
  “mathematical justification”译为未确定词的双语例句
     Based on rheologic test results,a new epoxy resin constitutive equation was proposed with mathematical justification.
     根据环氧树脂流变性能实验结果,经过严格的数学推导,提出了一种新的未固化环氧树脂的本构模型。
短句来源
  相似匹配句对
     Mathematical Justification of the Dirac δ Function
     Diracδ函数的数学证明
短句来源
     On the Mathematical Modelling
     数学建模浅谈
短句来源
     On Mathematical Modelling
     论数学建模
短句来源
     On Realization of Penalty Justification
     刑罚正当化的实现
短句来源
     The Justification of Moral Objectivity
     道德客观性的证明
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  mathematical justification
We discuss a model limit problem which arises as a first step in the mathematical justification of our Boussinesq-type approximation [4], which takes into account dissipative heating in natural convection.
      
As a particular case of this stability result a mathematical justification of the cutting of Legendre series (a procedure used by physicists to calculate solutions of the transport equation) is obtained.
      
Mathematical justification of the tight-binding approximation method is presented.
      
Under consideration are the questions of mathematical justification and development of a diffusive-wave model for sound propagation in a homogeneous Maxwellian gas.
      
The analysis in these papers furnishes a clearer mathematical justification of the results of [1] and the present paper and thus of the method used there.
      
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Recoverable gas reserve is a very important factor especially while the decision,on whether the exploration and development works will be carried out,can′t be made,becaus,depending on the factor,the police makers will make a decision on whether the area will be put into development and its development scale.Meanwhile,the recoverable reserve is also one of the basic data on successive works,so its accuracy will directly influence the correctness of evaluated results.It is a problem eager to be solved to carry...

Recoverable gas reserve is a very important factor especially while the decision,on whether the exploration and development works will be carried out,can′t be made,becaus,depending on the factor,the police makers will make a decision on whether the area will be put into development and its development scale.Meanwhile,the recoverable reserve is also one of the basic data on successive works,so its accuracy will directly influence the correctness of evaluated results.It is a problem eager to be solved to carry out the work of estimating the recoverable gas reserves to provide effective and reliable data for the police makers under the circumstances of less reference materials and information.According to the basic probility theory—central limit theorem and in combination with the volumetric method formular of estimating recoverable gas reserves,an interval estimation method of recoverable gas reserves and the formulars of estimating their minimum and maximum values are achieved in the paper through strictly mathematical justification and derivation,thus remedying the error and a series of problems made up by one point method estimation and raising the accuracy of the estimation.Through calculating an example it is further indicated that this method is simple,direct,practical and effective..

天然气可采储量是一个非常重要的指标,尤其在还未决定是否进行勘探开发时。因为决策者们通常依据此数据的大小作出是否开发此区域以及开发规模。同时可采储量又是后续评价工作的基础数据之一,其准确性如何,直接影响到评价结果的正确程度。所以在有关资料和信息都很有限的情况下如何开展天然气可采储量估算工作,为决策者提供有效、可靠的数据是急需解决的问题。文章尝试从概率论的基础理论———中心极限定理出发,结合用容积法估算天然气可采储量的计算公式,通过严格的数学证明和推导,得出了天然气可采储量的一种区间估算方法,以及计算其最小值和最大值的公式,从而弥补了一点估计带来的估算不准确和一系列问题,提高了估算的准确程度。然后通过实例计算,进一步说明了这种方法的简捷性、实用性和有效性。

A new principle to predict formation pore pressure for drilling design has been proposed and successfully applied to well BS 7 in Dagang oilfield. This principle is different from the traditional one described on most textbooks in China and abroad that the mud density is designed according to the highest pore pressure of a section to be drilled. For the new principle, the authors have published technical papers and a special book, and have applied a patent in China. A theoretical discussion of the principle...

A new principle to predict formation pore pressure for drilling design has been proposed and successfully applied to well BS 7 in Dagang oilfield. This principle is different from the traditional one described on most textbooks in China and abroad that the mud density is designed according to the highest pore pressure of a section to be drilled. For the new principle, the authors have published technical papers and a special book, and have applied a patent in China. A theoretical discussion of the principle is presented in the paper. The strict mathematical justification has indicated that the time lag from having blowout signs to making a real blowout during drilling is longer than that conceived previously. The designers could ignore a few thinner formations with high pressure and use some new mathematical methods to predict formation pressure as various advanced control equipments are introduced for drilling and logging. Such prediction of formation pressure can result in a significant drop of mud density in drilling design, thus accelerating drilling process, reducing cost and effectively improving reservoir protection. This technique can be applied easily elsewhere in terms of a set of new differential equations of well kick, their plotted curves and the field data from probability theory, which are given in the paper.

在钻井设计中 ,国内外多数教科书遵循的地层孔隙压力预测准则是依据某一裸眼段的最高孔隙压力设计该井段的钻井液密度。作者提出了地层孔隙压力精确预测的新准则 ,并成功运用于大港油田板深 7井。关于新准则及其相关技术 ,作者已发表过论文 ,出版过专著 ,并申请了国家专利。本文主要是关于这项技术的理论上的探讨。通过严格的数学证明 ,指出从出现井喷迹象到发生井喷 ,其所需时间比人们原来想象的要长 ;并认为 ,随着目前钻井中各种先进的井控及录井监控装置的引入 ,可以运用新的数学方法 ,忽略所占比例不大的少数高孔隙压力井段 ,来进行地层孔隙压力预测。这样预测的结果 ,可大大降低钻井设计中钻井液的密度 ,不仅可以加快钻井速度 ,降低钻井成本 ,而且可以有效地解决钻井过程中的油气层保护问题。文中导出了一套新的钻井过程井涌微分方程 ,给出了相关的函数曲线图 ,并且利用概率论的方法 ,给出了在现场应用的有关数据 ,为在更大范围内应用这一方法提供了方便条件。

Based on rheologic test results,a new epoxy resin constitutive equation was proposed with mathematical justification.Every term and every coefficient in it have physical meaning,which clarifies the essence of viscoelasticity of resin materials.The proposed model indicates that the yield stress is one of the main causes for the shear-thinning effect and reveals why some materials possess double-Newtonian regions with the shear viscosity in the first region higher than that in the second region.The equation...

Based on rheologic test results,a new epoxy resin constitutive equation was proposed with mathematical justification.Every term and every coefficient in it have physical meaning,which clarifies the essence of viscoelasticity of resin materials.The proposed model indicates that the yield stress is one of the main causes for the shear-thinning effect and reveals why some materials possess double-Newtonian regions with the shear viscosity in the first region higher than that in the second region.The equation is of great value in research on the rheological properties of some polymers and the error analyses of some constitutive equations.

根据环氧树脂流变性能实验结果,经过严格的数学推导,提出了一种新的未固化环氧树脂的本构模型。它与以前的经验模型不同,每一项、每一个参数都具有较明确的物理意义,简单、明了地说明了环氧树脂的粘弹性本质。此方程说明材料的屈服应力是剪切变稀行为的一个主要原因。它揭示了某些材料存在的双牛顿区现象,并证明第一牛顿区的剪切黏度大于第二牛顿区的。但此方程仅是一维模型,其精确度和适应范围有待进一步研究。

 
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