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The matrix of household incomes is split as follows.
Thus, Z i, j I [ d ] can be split as follows, This gives the recursion (1) Z i, j I [ d ] = Z i + 1, j I [ d - a ] + ∑ i < k ≤ j Q i, k B Z k + 1, j I [ d - b - a ] with the initialization Z ii I [ 0 ] = 1 and Z ii I [ d ] = 0 for d > 0. For consecutive vertices, we have Z i, i + 1 I [ a ] = 1 and Z i, i + 1 I [ d ] = 0 for d ≠ a.
(The barrel proceeds are split as bottles).
We design for a linear delay differential equation a reliable numerical method, which consists of two time splits as follows: (a) It is an exact scheme at the early time evolution −τ⩽t⩽τ, where τ is the discrete value of the delay; (b) Thereafter, it is a nonstandard finite difference (NSFD) scheme obtained by suitable discretizations at the backtrack points.
We define the reproducibility for a split as follows.
The cultures were split as described above.
Cells were split once confluent as follows: medium was removed and the monolayer washed with PBS (137 mM NaCl, 2.7 mM KCl, 10 mM Na2HPO4, 2 mM KH2PO4, pH 7.4).
The sequence in which neighborhood operators are selected is as follows: move → swap → chain → zero split.
The proof is split into three steps as follows.
The proof of property (iii) is split into two parts as follows: p = 1 and μ 1 ∗ = μ ¯ 1 ∗ = μ ∗.
When the giant's legs split apart, the company of dwarfs is split apart as well.
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