The periodic function is separated into the digital quantity . it has the high stability signal sweep frequency using the phase - lock link to carry on to the digital quantity reading , through d / a transformation , the appropriate filter may obtain the high stability signal output 摘要将周期函数离散成为分离的数字量，利用锁相环产生高稳定度的信号扫描频率对数字量进行读取，经过d / a变换及恰当的滤波可以获得高稳定度的信号输出。
In [ 20 ] , zhang chuanyi has introduced an extension of the almost periodic functions , the so - called pseudo - almost periodic functions . then , the existence of pseudo - almost periodic solutions of some differential equations with piecewise constant argument is considered in some papers ( [ 21 ] ~ [ 25 ] ) 张传义在文[ 20 ]中推广了概周期函数的概念，引进了伪概周期函数的概念，之后有些文献研究了具逐段常变量微分方程的伪概周期的存在性[ 21 ] [ 25 ] 。
Within the author ' s knowledge , recently , the results are few about the asmptotic logistic equation . the articles , [ 32 - 33 ] discuss the logistic equation , in which the two important indexes r ( t ) and k ( t ) are not only dependent on t . but also asmptotically tend to periodic function 目前，据作者所知，在r ， k是渐近周期函数方面， logistic方程的结果却相对很少，文献[ 32 ， 33 ]所讨论的系统参数r ， k不仅是与时间t有关，而且是渐近接近于周期函数的
The whole paper consists of three parts : part is about general theory of the least positive period , which argues the necessary and sufficient condition for the existence of the least positive period for a periodic function , and concludes " the existence of the least positive period for that periodic function , which is continuous at least one point and not equal ever to a constant " ; part researches the least positive period for the sum of two periodic functions , followed its general expression ; part discusses non - periodicity for the compound function constructed by a periodic function and a non - periodic function , and the corresponding results 全文分为三部份：第一部份是关于最小正周期的一般理论，得到了周期函数有最小正周期的充分必要条件，也获得了“至少在一个点连续且不恒等于常数的周期函数必有最小正周期”的结论；第二部份分析了两个周期函数之和的最小正周期的问题，给出了其一般表达式；第三部份讨论了周期函数与某些类型的非周期函数构成的复合函数的非周期性问题，并得出相应结论。
The rough degree of the target surface is the important factor that influences the scattering characteristic of the target laser . the study of the rough surface scattering is very important to the identifies and characteristic distill of the space target . usually on the study of in the past rough surface scattering , the period function or random function are the mathematics model of the rough surfaces 粗糙表面散射的研究对空间目标识别和特性提取具有非常重要的意义,在过去的粗糙表面散射研究中,通常采用特定的已知周期函数或随机函数作为粗糙表面的数学模型,但在自然界中粗糙面既非纯周期也非完全随机的。
Therefore , we need more concrete function to better discribe the variation of some biological populations in our real world . the two important indexes r ( t ) and k ( t ) of logistic equation are asmptotic periodic function , and discussed by author . the asmptotic solution of the asmptotic periodic logistic function is obtained 因而，为了更好地刻划客观世界，我们需要用更加符合客观实际的函数来描述生物种群的变化，于是作者对logistic方程的两个重要的参数r ( t ) ， k ( t )分别是渐近周期函数时，研究渐近周期logistic方程的渐近周期解，并且得到了解的存在性，唯一性，全局吸引性等一些良好的性质
The arrangement of the article is : in the second section the properties of existence , uniqueness , global attractivity are discussed ; in the third section , the properties of asmptotic periodic function are proved ; in the fourth and the fifth section , on one dimention and multiple - dimention , asmptotic periodic function space are banach space 本文的具体安排如下：第二节给出渐近周期解存在唯一性和全局吸引性；第三节证明了在某些适当的条件下，渐近周期函数的性质；第四，五节分别证明了在一维和高维下，渐近周期函数空间是banach空间
Based on vibration principle , the paper establishes dynamics analysis model of output shaft with elastic support , according to fourer series spread principle of periodic function , the dynamic response formula is derived by separating complex vibration force into sum of many simple harmonic excitation function of whole number times frequency relations . the result shows that response of both sides support is synchronous when load distribution non - uniform coefficient is 1 依据振动理论建立了具有弹性支撑的输出轴的动力学分析模型，根据周期函数的傅里叶级数展开原理，将复杂的激振力分解成为多个频率成整倍数关系的简谐激励函数，导出了动态响应表达式，结果表明，当载荷分配不均匀系数为1 . 0时的输出轴两端支撑同步。
According to the principle of generation of prime number through boolean algebra logic operation and phase angle matrix analysis of the periodic function it comes out that any even number larger than 4 can be expressed as the sum of two prime numbers ， i . e . “ 1 + 1 ” is tenable , and thereby finishes demonstration of the validity of goldbach ' s conjecture 根据素数的形成机理，从布尔代数的逻辑运算和周期函数的相角矩阵分析，都得出了大于4的任何偶数都可表示成两个素数之和即“ 1 + 1 ”成立，从而完成了哥德巴赫猜想成立的论证。
