embedding or entrainment of newly received inputs into the established flow-stream of the system is reflected in infinite series. Let f21/T1 = g21 define a throughflow-specific dimensionless flow intensity. In effect g21 is a probability, thus its powers form a convergent infinite series: (1 + g21 + g(221)h-----g(m + —). The parenthesized superscripts denote coefficients derived from matrix, not scalar, multiplication. This power series maps the boundary input z1 into the portion of throughflow at 2 contributed by this source: T21 = (1 + g21 + g (221) + —h g 2m)+ l) z1. The first term of the series brings the input into the system: 1-z1. The second term represents the "direct" flow over the link of length 1: g21z1. All other terms represent indirect flows associated with pathways of all lengths 2, 3,..., m,... as m — <». The throughflow component T21 accordingly contains a plethora of indirect flows: (g 221)+ —l- g (m + —)z. This is one of three elements in the throughflow at compartment 2: T2 = T21 + T22 + T23. At compartment 1 the throughflow is similarly decomposable: T1 = T11 + T12 + T13, and at compartment 3: T3 = T31 + T32 + T33. Each term in these sums has a similar infinite series decomposition to that just given for T21. With this, one can now appreciate there is more than that meets the eye in Figure 5.3. The focal flow f21 in question has a decomposition into enfolded elements as follows:
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Do we really want the one thing that gives us its resources unconditionally to suffer even more than it is suffering now? Nature, is a part of our being from the earliest human days. We respect Nature and it gives us its bounty, but in the recent past greedy money hungry corporations have made us all so destructive, so wasteful.