单调的

The basic idea is as follows: first, a kind of plane α-B-spline interpolation curve with a shape control parameter a is constructed; then, by converting the first derivatives of the curve into Bernstein polynomial, the positive conditions of Bernstein polynomial can be used to get the necessary and sufficie nt conditions for the monotonicity of α-B-spline interpolation curves, i.e., the range of the parameter a. Therefore, monotone-preserving interpolating curves can be obtained succinctly.

其基本思想是：首先构造带有形状可调参数的一类平面(-B样条插值曲线，再把其一阶导矢的两个分量分别转化为Bernstein多项式，从而利用Bernstein多项式的正性条件，得到此曲线为单调的充要条件，即形状参数的取值范围，简单、快捷地实现此参数样条曲线的保单调插值。

In Chapter 3, a certain polynomial Hamilton system with 3 degree is given. By elliptic integral formulas, the monotonicity of the periodic orbits of this system is verified.

在众多文章中，讨论次谐轨的分岔都需要一个条件，那就是在同宿轨附近的周期轨是单调的，第三章给出了一个具体的三次平面Hamilton系统，利用椭圆积分公式验证了这个系统的一对同宿轨附近的周期轨的周期是单调的，这包含了三种情况，周期轨在右边同宿轨内部，在左边同宿轨内部以及在整个同宿轨圈外部。

According to the linear search technique, the Quasi-Newton algorithm can be divided into monotone algorithm and non-monotone algorithm.

根据所采用的搜索准则，拟牛顿算法可以分为单调的算法和非单调的算法。

The established forecast model of mutation monotone or nomonotone initial sequence adjusted by residual error amendment and period amendment several times.

文中对具有突变性单调或非单调的初始序列所建立的预侧模型进行了多次残差修正与周期修正，使其预测误差在控制范围内。

The established forecast model o f mutation monotone or nomonotone initial sequence adjusted by residual error am endment and period amendment several times.

文中对具有突变性单调或非单调的初始序列所建立的预测模型进行了多次残差修正与周期修正，使其预测误差在控制范围内。

It is easy to see that the composite of two monotone mappings is also monotone.

容易看出两个单调函数的复合也是单调的。

A new method is applied to a kind of nonlinear programming problem with monotonic functions and non-monotonic objective functions.

给出了一类约束函数单调而目标函数非单调的非线性规划问题的一种新的求解方法。

A good property of the method is that the objective function of the trust-region subproblem is a strictly convex quadratic function.

数值结果表明，采用非单调搜索的MBFGS方法比单调的BFGS方法的数值效果明显要好。

For example, a clock that passes through an XOR gate is not unate because there are non-unate arcs in the gate.

例如，一个通过异或门的时钟不单调是因为在门中有非单调的弧。

In this process, Venus' mantle convection displays an overturn with a quasi_periodicity. Because of the different parameters, the stales of mantle overturn may appear in three modes.

结果表明，金星的热演化历史是一种非单调的冷却过程，在这种非单调的热演化历史进程中，金星地幔会出现大体等周期的翻转。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。