1)  residue series

1.
Using the approach, the traditional Mie series is transferred to a new residue series based on a series of mathematic transformation and a novel derivation is presented.

2)  inverse order of sequence

3)  data sequence

1.
It is difficult to tackle the problem about testing of attributes between two data sequences for grey relational analysis because the number of data sequences must be more than 2 in order to structure a grey relational space.

2.
Several non-dimensionalization changings of single-index data sequence and their characteristics are studied in this paper.

3.
The purpose of filtering of a data sequence is to reduce the influence of measurement errors as possible on condition that the periodicity, ageing, and other effect quantities aroused by causal quantities should be maintained.

4)  grey numeral sequence

5)  prime sequences

1.
Different from the presented work, where an optimal interleaver is considered mostly for reducing the correlation between parity bits of different paths and bit error rate(BER) of iterative decoding, the method based on prime sequences is demonstrated in this paper to obtain a family of interleavers inde.

6)  Data series

1.
Grey model is an exponential model,which has high precision to observation data series fiting in with exponential rule.

 留数residue   解析函数f（z）沿一条正向简单闭曲线的积分值  。严格定义是：f（z）在 0＜｜z－a｜ ≤R上解析，即a是f（z）的孤立奇点，则称积分值（1／2πi）∫｜z－a｜＝Rf（z）dz为f（z）关于a点的留数 ，记作Res[f（z），a] 。如果f（z）是平面流速场的复速度，而a是它的旋源点（即旋涡中心或源汇中心），则积分∫｜z－a｜＝Rf（z）dz表示旋源的强度——环流量，所以留数是环流量除以2πi的值。由于解析函数在孤立奇点附近可以展成罗朗级数：f（z）＝∑ak（z－a）k  ，将它沿｜z－a｜＝R逐项积分，立即可见Res[f(z)，a]＝a-1  ，这表明留数是解析函数在孤立奇点的罗朗展式中负一次幂项的系数。关于在扩充复平面上仅有有限多个孤立奇点的解析函数有两条与留数有关的重要性质：①该解析函数沿某一条不过孤立奇点的简单闭曲线积分等于其在曲线内部全部孤立奇点的留数之总和。②该解析函数关于全部孤立奇点的留数之总和为零。这两条性质正好与环流量的可叠加性及质量守恒定律相一致。