一阶导数

The first and second derivative plates of concave pressure build-up curve are presented in this paper.

本文提出了凹型压力恢复曲线的一阶导数图版和二阶导数图版。

The boundary value problem for first-order differential equations with a parameter refers to the finite solution condition of equation which includes unknown quantity and its first-order derivative that not only relies on interval value but also relies on the parameter of the equation,which is always settled by fixed point theory or successive approximation method.

含一个参数的一阶微分方程边值问题是指：含有未知量及它的一阶导数的方程的定解条件不仅依赖于在区间端点的取值，而且依赖于方程中的参数。通常它用不动点定理或逐步逼近法来解决。

The solution and positive solutions are considered for a class of nonlinear fourth-order beam equations with first derivative.

考察了一类含有一阶导数的非线性四阶梁方程的解和正解。

In TFDE, the first-order timederivative is replaced by a fractional derivative, making the problem global in time.

对于前者，时间上的一阶导数被分数阶导数所代替，使得问题在时间上是全局的。

The model of programmed crystallization of SPM was proposed based on the moment transformation of the population considering the agglomeration. The optimal temperature-time curves in a batch crystallizer which maximized the terminal mean size and mean weight size can be determined from the application of the Pontryagin Maximum Principle. The calculated crystallization results heating under optimal temperature were compared with ones under linear or natural heating temperature.

根据第四章所得到的螺旋霉素晶体二次成核和晶体生长和布朗扩散引起的聚集动力学，利用第六章所描述的晶体尺寸分布的各阶矩对时间的一阶导数所构成的自封闭的一阶常微分方程组，采用庞得里亚金极大值原理，以温度为控制变量，在满足某些约束条件下，以最大平均尺寸和最大晶体重量平均尺寸为性能指标，计算出了螺旋霉素间歇结晶的最优温度—时间曲线，并同线性加热和自然方式进行了比较。

The existence of solution is studied for a class of second - order periodic boundary value problems with first applying Leray - Schauder fixed point theorem, two exislence theorems are established.

考察了一类非线性项含有一阶导数的二阶周期边值问题的解的存在性，其中非线性项是Carathèodory函数。通过构造非线性项的高度函数并且利用Leray-Schauder不动点定理建立了两个存在定理。

By constructing suitable cone and applying the decomposition technique of equation,the positive solutions are investigated for a class of semilinear fourth-order boundary value problem s with first derivative.

通过构造适当的锥并且利用方程的分解技巧研究了一类含一阶导数的半线性四阶边值问题的正解。

By constructing suitable cone and applying the decomposition technique of equation, the positive solutions are investigated for a class of semilinear fourth-order boundary value problems with first derivative.

通过构造适当的锥并且利用方程的分解技巧研究了一类含一阶导数的半线性四阶边值问题的正解。

The databases of NIRDRS for Hypericum、 Eucalyptus globules and broussonetia papyrifera were established within suitable spectral ranges with three kinds of data block(original spectrum, first-order derivative spectrum and second-order derivative spectrum) to discriminate unknown samples.

分别用三种数据块(原谱、一阶导数光谱、二阶导数光谱)在不同的谱区范围建立了金丝桃、蓝桉、楮实子3种中药材的NIRDRS指纹图谱库，对未知样品进行鉴别。

Gravity anomaly of sea surface, vertical gradient of gravity anomaly, downward continuation, cylinder method, geometry method

地表重力异常及其梯度本质上都是位的派生物，重力异常是其径向的一阶导数，垂直梯度是其二阶导数，它对接近地表的扰动物质更为敏感。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。