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The generalized Hyers-Ulam-Rassias stability of quartic equations;

四次方程的广义Hyers-Ulam-Rassias稳定性

This paper reconstructs the ways how Girolamo Cardano constituted the four special rules of quartic equation,i.

复原了卡尔达诺关于四次方程的4条特殊法则的构造过程,指出这4条形式差异很大的法则所采用的相同的构造方法,由此揭示了这些法则的真正涵义和它们通过命题的形式所表达出的数学内容并不相同,同时也解释了卡尔达诺为什么能得到这些法则。

positive expressions of quartic equation s trigonometric solution is given by a series of transformationes,and this equation is used to study event horizon of a uniformly rectilinearly acceleratiing Kerr black hole.

通过系列变换,给出具有实用价值的四次方程的三角解正根公式。

The general quartic mappings are discussed.

讨论一般四次方型映射，给出揉空间边界及其由边界所定的平面两者对应的映射函数，从而得出建立四次方映射揉空间的方法，并给出四次方映射字提升的技术和低周期三超稳揉序列字提升实例的数据。

In the light of solution of predicted fire point of antiaircraft gun,on the basis of graphic method,by use of sulving the equation,the paper put forward solutions on precision higher:"adjust-coefficient method","graphic approach mehtod" and "quartic equation method".

针对高炮射击解提前点方法进行的研究,在图解法的基础上,运用解方程的思想,提出了精度更高的“系数调整法”、“图解逼近法”和“一元四次方程法”。

In this paper, we discuss when a quartic equation has no real roots, and obtain a necessary and sufficient condition on a quartic equation which has no real roots.

本文讨论了一元四次方程无实根的一些充分、必要条件，并得到了一元四次方程无实根的一个充要条件。

The principium of NLFM Signal generation is expounded, and then the influence of Doppler-toler-ance of the signal, quantization digits and sampling frequencies on the digital pulse compression is analysed, by designing the waveform of NLFM signal on the basis of the fourth power of cosine window function.

阐述了非线性调频信号产生的基本原理,并基于余弦四次方窗进行了非线性调频信号波形设计,分析了该非线性调频信号的多普勒容限及量化位数和采样频率对数字脉压的影响,仿真结果表明该非线性调频信号具有一定的优越性,并对其数字脉压的工程实现有一定指导意义。