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双曲线方程
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  hyperbolic equation
     Conventional seismic data processing method uses hyperbolic equation to describe time-distance formula of reflection wave,error of this equation increases with the increase of heterogeneity,anisotropy and spread length.
     常规地震资料处理方法是利用双曲线方程来描述反射波时距曲线规律,此方程随着地层非均质性、各向异性和排列长度的增加,其误差变大.
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     The paper introduces the establishment of standard equation according to the principle of least square method,finds the solution with Gauss elimination method,introduces the calculation method of fit multinomial curve program and the questions paid attention,fits the curve equation of power function,the curve equation of exponential function and the hyperbolic equation through the conversion of data document.
     本文介绍如何以最小二乘法为原理建立正规方程,通过高斯消元法求解,来拟合多项式曲线方程的程序计算方法及注意问题,以及如何变换数据文件来拟合幂函数曲线方程、指数函数曲线方程、双曲线方程
短句来源
     Common-used converted wave time-distance equations include hyperbolic equation (single-parameter equation called in the paper) ,double-square-root equation (or called double-parameter equation) and high-order non-hyperbolic equation.
     现今应用较多的转换波时距方程中有双曲线方程(本文称为单参数方程)、双平方根方程(或称双参数方程)及高阶非双曲方程。
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     For the peaks of homologous components that are eluted under constant conditions and are of approximately equal amount the relation between the retention value and the peak height approximately obeys hyperbolic equation.
     在同一操作条件下流出的等量同系物组分,它们的色谱峰高与其保留值之间的关系可用双曲线方程来表示。
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     A hyperbolic equation can fit the data well and is able to predict the DOC content and flux based on flow measurements.
     据此建立的双曲线方程可用来估算DOC含量和输出通量。
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  hyperbolic curve equation
     Hyperbolic curve equation X_t=b-a/t is selected to fit the accumulated N dissolving percentage according to different leaching stage, slowrelease index(SRI), which is calculated from the b value and a value in the equation, is used to evaluate slow release properties of the nitrogen in NSF quantitatively.
     用双曲线方程Xt=b-a/t对氮缓释肥的氮素累计溶出率进行拟合,采用拟合方程中b值和a值计算得到的缓释指数SRI来定性和定量评价氮缓释肥的氮缓释特性。
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  hyperbola equation
     The time-response relationship of DMA nitrosation was studied by giving DMA 125μmol and NaNO2 25μmol and killing the rats in different time. The hyperbola equation of 1/Y = 0.009886+0.0491/X is suitable for description of time (X)and yield ( Y) .
     大鼠经口给予DMA125μmol和NaNO_225μmol,体内反应时间与DDMA产量之间的关系可用双曲线方程1/y=0.009886+0.0491/x来描述。
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     On the basis of the rectangular hyperbola equation proposed by H N Mead and established by A R Hasan and C S Kabir, this paper introduces a simple method for determining the average reservoir pressure within the oil drainage area of producing wells in low and ultralow permeable reservoirs.
     以H N Mead提出、A R Hasan和 C S Kabir推导建立的等轴双曲线方程为基础,提出了确定低渗透、特低渗透油藏生产井泄油范围内平均地层压力的简便方法.
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     Growth model is an efficient way to study growing process of some factors of plants quantitatively. Height growth of Ko-rean pine (Pinus koraiensis) was studied by using Hyperbola equation, Logistic equation, Richards equation with three parameters, and Richards equation with four parameters in this paper.
     高生长模型是定量研究树木生长过程的有效途径,本文应用双曲线方程、Logistic方程、三个参数的Richards方程及四个参数的Richards方程对红松的高生长进行了研究。
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     The simulant effect of calcium with Elovich equation is the best, Parabola equation is the worse, Hyperbola equation is the worst.
     施肥土壤钙、镁、钠用双曲线方程的拟合效果最好,抛物线扩散方程的效果次之,EOVicll方程的吻合性最差,相夫系数均达到了极显著水平; 施肥土壤钾的拟合效果以抛物线扩散方程最好,HO\iOI。
短句来源
     A 1D constitutive model was formulated based on the hyperbola equation,the modified Masing rule,and the over-stress visco-plasticity theory.
     应用双曲线方程、修正曼辛准则(Masing rule)和过应力型粘塑性理论,建立了一种可以同时描述土工合成材料应力应变关系的非线性、循环荷载作用下的弹塑性和滞回性、蠕变和应力松弛的一维本构模型。
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  “双曲线方程”译为未确定词的双语例句
     The K_m and V_m values were determined to be 3.13 mmol·L~(-1) and 17.68 μmol·L~(-1)·min~(-1),respectively by plot of Lineweaver-Burk.
     酶促反应动力学符合米氏双曲线方程,测得米氏常数Km为3.13mmol·L-1,最大反应速度Vm为17.68μmol·L-1·min-1.
短句来源
     The K m and V m values were determined to be 0.165 mmol L -1 and 6.554 μmol L -1 min -1, respectively. The activation energy of the enzyme for the hydrolysis of pNP-β-D-GlcNAc was detemined to be 63.55 kJ mol -1. Fig 5, Tab 1, Ref 16
     酶促反应动力学符合米氏双曲线方程,测得米氏常数Km为0.165mmolL-1,最大反应速度Vm为6.55μmolL-1min-1.酶催化pNP-β-D-GlcNAc反应的活化能为63.55kJmol-1.图5表1参16
短句来源
     The enzyme follows typical Michaelis-Menten kinetics for the hydrolysis of pNP-β-D-GlcNAc and the Km and Vm values were 0.16 mmol/L and 10.73 μmol·L~(-1)·min~(-1), respectively.
     酶促反应动力学符合米氏双曲线方程,测得米氏常数Km为0.16mmol/L,最大反应速度Vm为10.73μmol. L-1.min-1。
短句来源
     The relationship between biological time τ and physical time t followed a hyperbolic curve.
     生物时间τ(τ被定义为逻辑斯蒂生长曲线中生长系数λ(t)的积分 )与物理时间 t的关系可以用双曲线方程表示。
短句来源
     parameter form of the hyperbola fitted to capillary pressure laboratory data, obtain capillary pressure curves analytical function, differential and integral expression by least*. squares solution. It can fit the capillary pressure curves throughout the range of data, and obtain accurate the inlet saturation for centrifuge*.
     用三参数双曲线方程拟合离心毛管压力实验数据 ,采用最小二乘法求解 ,获得毛管压力曲线解析表达式及其积分表达式和微分表达式 ,可拟合各类毛管压力曲线整个数据范围 ,便于曲线微分、积分、,准确计算岩心的入口饱和度 ,光滑实验数据、进行曲线外推求阈压
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  hyperbolic equation
Lp-Lq Estimates for higher order perturbed hyperbolic equation
      
In this paper Lp-Lqestimates for the solution u(κ,t) to the following perturbed higher order hyperbolic equation are considered,
      
The formula of the solution for some classes of initial boundary value problems for the hyperbolic equation with two independent
      
The calculation in the hyperbolic equation region was continued by the method of characteristics.
      
It is characteristic of the problems examined here that for the first-order quasilinear hyperbolic equation describing the segregation process two boundary conditions are formulated.
      
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  hyperbola equation
This interrelation is in the general form described by a hyperbola equation.
      
Height growth of Korean pine (Pinus koraiensis) was studied by using Hyperbola equation, Logistic equation, Richards equation with three parameters, and Richards equation with four parameters in this paper.
      


In respect to rice,wheat and corn crops,the quantitative relation of planting rate (x)to the number of heads or ears per mu (Y) may be expressed by modified hyperbolic equation:Y=x/(a+bx) (3)where“a”and“b”are two positive parameters.The value of“a”is the regression coefficient of1/yon1/x,which means when the area occupied by each plant (1/x) is increased one unit,thearea for producing one head or ear (1/Y) will increase“a” unit;and“a”also expresses theplant number for producing one head or ear,as x→O (extremely...

In respect to rice,wheat and corn crops,the quantitative relation of planting rate (x)to the number of heads or ears per mu (Y) may be expressed by modified hyperbolic equation:Y=x/(a+bx) (3)where“a”and“b”are two positive parameters.The value of“a”is the regression coefficient of1/yon1/x,which means when the area occupied by each plant (1/x) is increased one unit,thearea for producing one head or ear (1/Y) will increase“a” unit;and“a”also expresses theplant number for producing one head or ear,as x→O (extremely thin planting rate).Thevalue of“b”is the regression coefficient of x/Y on x,which means when the planting rate (x)is increased one unit,the plant number for producing one head or ear (x/y) will increase“b”unit;furthermore,“b”is the area for producing one head or ear,too,as 1/x→O (extremelydense planting rate).From equation (3),the following main formulae may be obtained:1.The equation for expressing the quantitative relation of planting rate (x) to the averagenumber of heads or ears per plant (y) is:Y=1/a+bx (17)2.The equation for expressing the quantitative relation of plantnig rate (x) to thedifference between the number of heads or ears per mu and that of plants per mu (D) is:D=(x(1-a-bx))/(a+bx) (9)3.The planting rate for the maximum number of heads or ears per mu exceeded thenumber of plants per mu (x_1) is:x_1=(a-a~(1/2))/(-b) (13)4.The planting rate with the number of heads or ears per mu equal to that of plantsper mu (x_m) is:x_m=(1-a)/b (10)5.When the planting rate per mu is varied in the open interval (0,∞),the number ofheads or ears per mu will be varied in (0,1/b) (8)while the average number of heads or ears per plant will be varied in(1/a,0) (18)In this article,17 formulae(see formulae 4—20)for expressing various characteristics ofquantitative relation of planting rate to the number of heads or ears have been derived fromequation (3).The method of derivation of equation (3) based on experimental data has beendiscussed (see formulae 21—24) together with a substantial example.

对于稻、麦和玉米,群体穗数(Y)和种植密度(x)的数量关系,可用变形双曲线方程 Y=x/(a+bx)作有理描述。本文讨论了该方程的基本性质;并由之推出17个公式,用以表示穗数和密度数量关系上的各种特点。此外,也讨论了从穗数——密度的实验数据建立该方程的具体方法,并附实例。

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本文主要为缓倾斜煤层回采工作面金属支柱选型服务.根据研究认为采场采动后顶板在趋于重新平衡过程中有悬梁与连续梁两种型式,而连续梁的支撑部分即为采场支架、煤层及采空区垮落矸石,这三者成为两种不等高不等强度的基础,用以支撑其上复平衡岩梁,采场顶板下沉必然相应于此岩梁的变形曲线.根据实验证明:若以无工序时顶板下沉速度V作为顶板稳定性指标,则顶板最大下沉量可由S=1.3(35V+60V(1/2)m)式表示,m为采高.关于支架支撑力对顶板下沉量的影响可用双曲线方程表示,支架合理支撑力在顶板中等稳定时可由P=15m-1.86m~2式表示.关于支架合理特性的选择,认为,在薄煤层中以增阻为宜;在一般中厚煤层中以恒阻或高初撑微增阻式支柱为宜.

According to the data of field observations, the behaviours of defor- mations and stresses in Hengshan earth dam are studied in this paper. It has been proved that settlements and displacements may be expressed by hy- perbolic equation. Displacement ratio is almost independent of time. 2-4 Years after completion of the dam, settlements are nearly stable. The ratio of stable settlements to ultimate settlements is over 80%. When the reservoir is first impounded there is obvious influence on settlements at upstream...

According to the data of field observations, the behaviours of defor- mations and stresses in Hengshan earth dam are studied in this paper. It has been proved that settlements and displacements may be expressed by hy- perbolic equation. Displacement ratio is almost independent of time. 2-4 Years after completion of the dam, settlements are nearly stable. The ratio of stable settlements to ultimate settlements is over 80%. When the reservoir is first impounded there is obvious influence on settlements at upstream crust of dam. Settlements on different levels in the clay core are also studied. After construction, the pore water pressure obviously increases and the earth pressure decreases in the clay core. These phenomena are un- usual.

本文通过原体观测资料的分析研究了横山土坝的变形及应力特性。分析表明,横山坝的沉降和位移均可用双曲线方程表示,位移比基本上不随时间而变,可视为常数。坝竣工2-4年后,变形即基本稳定。此时,稳定沉降达最终沉降的80%以上。水库首次蓄水对上游坝壳的沉降有较大的影响。另外,也研究了心墙分层沉降的特性。心墙内的孔除水压力有明显增大,而土压力则减小,这些现象是不正常的。

 
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