Lesson plan

Interleave sequence

In mathematics, an interleave sequence is obtained by merging two sequences via an in shuffle. Let S be a set, and let (x_i) and (y_i) , i=0,1,2,\ldots, be two sequences in S. The interleave sequence is defined to be the sequence x_0, y_0, x_1, y_1, \dots . Formally, it is the sequence (z_i), i=0,1,2,\ldots given by : z_i := \begin{cases} x_{i/2} & \text{ if } i \text{ is even,} \\ y_{(i-1)/2} & \text{ if } i \text{ is odd.} \end{cases}

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Article summary

In mathematics, an interleave sequence is obtained by merging two sequences via an in shuffle. Let S be a set, and let (x_i) and (y_i) , i=0,1,2,\ldots, be two sequences in S. The interleave sequence is defined to be the sequence x_0, y_0, x_1, y_1, \dots . Formally, it is the sequence (z_i), i=0,1,2,\ldots given by : z_i := \begin{cases} x_{i/2} & \text{ if } i \text{ is even,} \\ y_{(i-1)/2} & \text{ if } i \text{ is odd.} \end{cases}

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