证明不存在四个连续的二项系数成算术级数。
Prove that no four consecutive binomial coefficients can be in arithmetic progression.
为在计算机上做傅里叶级数的分解，需要对连续信号进行抽样，然后按离散傅里叶级数进行分解。
In order to analyzing digital signals with the aid of computers, it is necessary to use Fourier Series of discrete form.
给出了一种不含导数的函数展开方法，在函数的连续区间内构造一个无穷级数作为函数的展开式。
To construct a progression at infinity as an expansion of function in the continuous interval, a good result was achieved.
还用富里叶级数处理沿径向分段连续荷载的问题。
The Fourier series are also used for dealing with the problem of the sectional continuous load along radial direction.
为了深入研究阵列的动力学行为，提出了一种简化的阵列相位连续模型并通过傅立叶级数法求得了解。
To intuitively understand the dynamic behavior of the array, a simplified phase continuum model was proposed and solved via Fourier series.
对于连续反应，计算了不同级数下的需酶量、转化率和成本消耗。
In the case of continuous operation, the consumption of enzyme, conversion and cost with different number of reaction stages were examined.
提出一种连续系统动柔度的混合展开表达式，它的前面几项是模态展开，其余各项是幂级数展开。
In this paper a mixed expansion expression for dynamic flexibility of continuous systems is derived. The frist few terms of the expression are a sum of modes, the other terms are power series.
提出一种连续系统动柔度的混合展开表达式，它的前面几项是模态展开，其余各项是幂级数展开。
In this paper a mixed expansion expression for dynamic flexibility of continuous systems is derived.
一列连续与正弦、余弦函数相乘的无穷级数，若是趋向同一点时，可模拟一系列多种函数。
An infinite series whose terms are constants multiplied by sine and cosine functions and that can, if uniformly convergent, approximate a wide variety of functions.
讨论了利用傅里叶级数把连续周期时域信号转换成离散的频域信号的必要性。
This paper describes the need to transform the continuous periodic signal in time domain to the discrete signal in frequency domain by using Fourier Series (FS).
然后连续利用多元函数级数展开，导出群角表示的相速度和群速度近似公式。
Then series expansions of multi-variable functions are applied to the derived approximations in terms of phase angles to generate the approximations in terms of group angles.
然后连续利用多元函数级数展开，导出群角表示的相速度和群速度近似公式。
Then series expansions of multi-variable functions are applied to the derived approximations in terms of phase angles to generate the approximations in terms of group angles.
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