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proper fraction
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  真分数
     Let(b,10)=1 and the repetend of irreducible proper fraction a/b be q1q2…q2s,then qi+qs+i=9 if and only if all prime divisors of b belong to one k-class,the numerals sum of a/b is 9s in this case.
     设(b,10)=1且既约真分数a/b的循环节是q1q2…q2s,那么qi+qs+i=9当且仅当b的所有素因子都属于一k-类,这时a/b的数码和为9s.
短句来源
     The numerals sum of irreducible proper fraction a/3n+2 is 9(t-1)/2+r,where t is the period of a/3n+2 and r is the least non-negative residue of a modulo 9.If the period of 1/p equal to p-1 or (p-1)/2,then p is a prime.
     既约真分数a/3n+2的数码和为9(t-1)/2+r,这里t是a/3n+2的周期,r是a模9的最小非负剩余. 如果1/p的周期等于p-1或(p-1)/2,那么p是一个素数.
短句来源
     Its theoretical foundation is the proper fraction theory in psychometrics, also involving the following questions: (1) Question of responsibility.
     360 度绩效考评的理论基础是心里测量学中的真分数理论,同时还涉及以下问题:(1)责任心问题3。 60度绩效考评的成功依赖于评价者的诚实度和责任心。
短句来源
     Applied theory of proper fraction and subject reaction, measure quality of objectiveexandnation questions and compare the theory of two kinds. Some useful result a-re acquired.
     应用真分数理论和题目反应理论分别对客观性试题质量进行了测量,并把两种理论加以比较,获得了一些有益的结果.
短句来源
  真分式
     Integral Methods of Rational Proper Fraction Function
     有理真分式函数的积分方法
短句来源
     The Indefinite Integral of Rational Proper Fraction
     有理真分式的不定积分
短句来源
     The calculation of every fractions in Separating fraction and integral of rational proper fraction is reduced by the method.
     从而大大简化了分式分项的计算,简化了有理真分式的积分运算.
短句来源
     This article defined constant in numerator of simplest fraction by the way of resolve proper fraction to simplest fraction.
     本文用分解真分式为最简分式的分解基本定理来确定最简分式分子里的常数。
短句来源
     This paper, starting from a simple formula of rational proper fraction and partial fraction, discusses about a way to improve rational functional integral, a way simpler and more convenient than comparative coefficient.
     本文从有理真分式分解为部分分式的一个简洁公式出发 ,讨论了有理函数积分的一种改进方法 ,相对于比较系数法而言 ,该方法更为简单、方便
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  “proper fraction”译为未确定词的双语例句
     In order to accelerate genetic advance and not to influence the accuracy of early selection,the proper fraction saved for breeding is the lower when it is in 30-35% or 35-40%,and the higher is better when it is below 30%.
     为加速遗传进展,在不影响早期选种准确度的情况下,留种率在30%~35%或35%~40%时,以选择下限留种为宜,在30%以下的留种率范围,以选择上限留种为宜。
短句来源
     The result shows that wax produced in the refinery plant of Daqing petrochemical complex, after proper fraction cutting, the deoiled wax can meet the requirement of semi-refined wax and can be used as raw material for producing wax.
     结果表明:将大庆石油化工总厂炼油厂(以下简称炼油厂)减三线蜡料进行适当馏份切割后,脱油蜡能达到半炼蜡的指标要求,可作为制蜡的原料。
短句来源
     The results show that a proper fraction of the secondary air could make the flame highly stable in the middle section within a wide range of flow rates,and have low emission of CO,specially for lower lean equivalence ratios.
     结果表明 ,加入适当比率的二次空气 ,不仅能够在相当宽的流速范围内使火焰很好地稳定在中间段 ,而且能得到低水平的 CO排放浓度 ,特别对较低当量比效果更为明显。
短句来源
     When contained proper fraction of Ekonol, the matrix PTFE's crystalline existed as the structure of net which could effectively prevented destruction of the PTFE's structure of belt during friction, consequently its wearability was increased greatly, and its wear mechanism was fatigue and slight surface adhesion.
     当Ekonol含量适中时 ,其结晶体以连续网状结构存在 ,其可有效地阻止PTFE基体的带状破坏 ,从而可极大地提高此复合材料的耐磨性 ,磨损机理为疲劳磨损和轻微粘着磨损 ;
短句来源
     When contained less fraction of Ekonol in the composite,the wear mechanism is severe surface adhersion. When contained proper fraction of Ekonol,high anti-wear Ekonol is dispersed in the PTFE matrix,which enhances carrying capacity of PTFE,and prevents the destruction of PTFE's structure of belt during friction,its wear mechanism is fatigue and slight adhesion.
     当Ekonol含量较低时,磨损机制为粘着磨损,随着填料含量的增加,Ekonol分散到基体中,起到了承载作用,阻止了PTFE基体的带状破坏,磨损机制为疲劳磨损和轻微的粘着磨损;
短句来源
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  proper fraction
This increase does not appear to be due to a failure of the proteins to assemble into the proper fraction.
      
A situation is even more complicated in the not-discussed case of regression, where the proper fraction can depend on some known vector of covariates.
      


We shall attempt to study an interesting phenomenon in the theory of best approximation. We begin by some concepts which will be used below. 1. Let be a Hilbert space, h_n∈, and let (h_,h_k)=η_r),n,k=0,1,2,...; (1) (ⅰ) If η_(nk)=1 (n=0,1,2…), (2) η_(nk)→0 (for n≠k, as n,k→∞) (3) and η_(nk)→0 (for any fixed k, as n→∞; for any fixed n, as k→∞),(4) then we say that the sequence {h_n} is a quasi-orthonormal system (QONS)of 1st kind. (ⅱ) If (2) and (4) are satisfied, we say that {h_n} is a QONS of 2nd klnd. (ⅲ) If...

We shall attempt to study an interesting phenomenon in the theory of best approximation. We begin by some concepts which will be used below. 1. Let be a Hilbert space, h_n∈, and let (h_,h_k)=η_r),n,k=0,1,2,...; (1) (ⅰ) If η_(nk)=1 (n=0,1,2…), (2) η_(nk)→0 (for n≠k, as n,k→∞) (3) and η_(nk)→0 (for any fixed k, as n→∞; for any fixed n, as k→∞),(4) then we say that the sequence {h_n} is a quasi-orthonormal system (QONS)of 1st kind. (ⅱ) If (2) and (4) are satisfied, we say that {h_n} is a QONS of 2nd klnd. (ⅲ) If (2) and (3) are satisfied, we say that {h_m} is a QONS of 3rd kind. 2. Let f(x)∈C_(-1,1), p(x)∈C_(-1,1) be a non-negative weight function, and let P_n(x)=P_n(f,x) be the (nth) best approximation polynomials or simply the minimum polynomials of f with the weight p on [—1,1. We say simply that ψ_n(x)=f(x)-p_m(x) is the minimum sequence of functions for f. 3. Let f∈C_(-1,1)~′ (the class of functions with 1st derivative belonging to C_(-1,1), L_n=‖(f—P_n)p‖y_n=(f—P_n)P, where P_n are the minimum polynomials, the functions Q_n(x)=(y_n~(′2))/(L_n~2-y_n~2) (5) are called the (nth) associate functions of f. Concerning these definitions and reserving the sense of the above symbols, we proved the following theorems. Let A be a certain class of real irreducible proper fractions and let the positive weight p(x) take the form Ⅰ. {C_0+…+c_vx~v}~(1/2) or Ⅱ. {C_0+…+c_vx~v}~(-1/2); Then under certain restrictions (see the begInning of §2) we have THEOREM 1. Let R_n(x)={Q_m(x)((1-x~2)/((n±v/2)~2))}~(-1) where="±" corespond to p taking Ⅰ or Ⅱ, respectively. (ⅰ) If L_m=O(1),‖1—R_m‖=o(1/n), ‖R_n~′‖=o(1/n), then the normal minimum sequence of functions λ_n {f—P_n} is a QONS of 1st kind in space L_(-1,1)~2((p~2(x)/(1-x~2)~(1/2)) (ⅱ) If L_m=o(1),‖1—R_m‖=O(1/n), ‖R_n~′‖=O(1/n), the conclusion of (ⅰ) also holds. (ⅲ) If L_m=O(1), ‖1—R_n‖=o(1), ‖R_n~′‖=o(1), the same sequence λ_n{f—P_n} is a QONS of 2nd kind in L_(-1,1)~2((p~2(x)/(1-x~2)~(1/2)). THEOREM 2. Let p(x) be of the form Ⅱ, the associate functions of f be of the form Q_n(x)=((n-v/2)~2)/(1-x~2){1+sum from n=1 to 1,μ B_l/(x-β_l)+sum from n=1 to 1,v C_j/(x-y)}~2 (U_(μ-1)~2)/(V_(2μ-2)), where B,C,β,γ are constants, U,V are some μ—1 th and 2μ—2 th order polynomials, respectively. If (ⅰ) (?) (U_(μ-1)~2(x))/(V_(2μ-2)(x))=1 (—∞

文中引进伪直交性(quasi-orthogonality)概念,它是平常直交性概念的一种推广。受到了古典切彼曉夫多項式等的提示,我們指出对於連續函数的某一子类,其最小元列在某內积空間中具有第一种、第二种或第三种伪直交性。这些結果可以看成一种嵌入性质(embedding property)。文中有若干例子說明伪直交系的存在,还給出定理的特例,即在某些情形最小元列具有(真)直交性。

This article defined constant in numerator of simplest fraction by the way of resolve proper fraction to simplest fraction.

本文用分解真分式为最简分式的分解基本定理来确定最简分式分子里的常数。

This paper briefly describes the study on the formulation of series DABreciprocal compressor oil from proper fractions of the Xinjiang low-sulfurintermediate base crude with packaging of appropriate anti-oxidant, antico-rrosion agent and antirust additive. The properties and results of performancetest of the formulated oil are presented.

本文介绍了以新疆低硫中间基原油适宜馏分,经过深度精制的润滑油基础油,加入适当的抗氧、抗腐及防锈剂制得的DAB系列往复式压缩机油的性能和使用情况。

 
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