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Substitution (mathematical)
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Ross indexed the following pages under the keyword: "Substitution (mathematical)".

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 Diffusion in growthEquilibrium and hysteresisNeutral point (of equilibrium - including 'cycle', 'region' etc.) choice of severalSubstitution (mathematical) and hysteresis 0397 0398

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 Operator = machineOrganisation machine = substitution operatorOrganisation specification ofSubstitution (mathematical) specifies machine Break in machineBreak surface Neutral point (of equilibrium - including 'cycle', 'region' etc.) defined 0905 0906
 Operator for reflexOrganisation machine = substitution operatorReflex as operatorStimulus group structure ofSubstitution (mathematical) for reflex 0913 0914
 Entropy and sensory adaptation Differential equation turned to operatorGroup (mathematical) and machineIsomorphism in machineOperator = differential equationSubstitution (mathematical) as differential equation 0917 0918
 Holism depends on timeSubstitution (mathematical) some solutions 0943 0944
 Summary: An organisation with n variables and m parameters has two separate complexities. Subject to conditions, m describes the number of coordinates in the space in which the neutral point moves, when m=n we have a 'transative' state.Neutral point (of equilibrium - including 'cycle', 'region' etc.) control of Dependence test forDominance test forIndependence test forSubstitution (mathematical) reducibility 0985 0986
 Summary: A (better) restatement of the theorem of 680. Neutral point (of equilibrium - including 'cycle', 'region' etc.) in differential equationSubstitution (mathematical) as differential equation 0987 0988
 Break Break exampleOrganisation break ofSubstitution (mathematical) break and 0991 0992
 Substitution (mathematical) 0997 0998

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 Summary: A discussion is given of the meaning of the "change of organisation" (if any) which occurs when a system settles at a new neutral point without change of the field. i.e. a variable, without change of field, going outside the "range of stability" of one neutral point. A complete clarification is given, together with its relation to my previous ideas of "breaks".Dominance definitionOrganisation change of neutral pointSubstitution (mathematical) dominance in Substitution (mathematical) 'dependance' in 1077 1078
 Summary: The question of "dominance" is still further clarified. I define "immediate", "distant" and "ultimate" dependance. Also "completed matrix of an organisation". "Dominance" (two equivalent definitions). "Parameter" is defined as "dominant and constant". It is proved that if a dominates b, and b dominates c, then a dominates c. Break continuous approximationStep function eqivalent continuous formSubstitution (mathematical) change to differantial equation form 1083 1084
 Summary: "Reaction" is divided into "response" and "variation". Summary: The intrinsic form of a substitution might prove interesting.Break as variationConscious mind and intrinsic equationsOrganisation change = variationOrganisation intrinsic equationReactions response ? variationSubjective and intrinsic equationsSubstitution (mathematical) intrinsic equation Delay (in substitution) and sub-wholesOrganisation degree of 1123 1124

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 Summary: The number of possible ways of organising n variables is at last answered. It is of the order of |nOperator exampleSubstitution (mathematical) example Summary: An interesting elementary substitution is described. It demonstrates paths going to infinity and neutral cycles. (Better 3776)Neutral point (of equilibrium - including 'cycle', 'region' etc.) example of cycle 1217 1218
 Invariant essence ofSubstitution (mathematical) invariants of Field (of substitution) invariants of 1245 1246
 Summary: We have a right to expect that normal equilibrium will be commoner than other sorts Part-function further discussionStep function in substitutionSubstitution (mathematical) part-function in 1259 1260

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 Summary: A conditioned reflex demonstrated on the homeostat. 2762, 5708, 5855Substitution (mathematical) two simple examples Summary: Examples of simple substitutions.Mind (individual) meaning of 2753 2754

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 Summary: Example of a canonical equation of nullity 2. 3799Substitution (mathematical) example Independence to pattern 3776 3777
 These images are reproduced courtesy of The Estate of W. Ross Ashby. Copyright 1972, 2008 © The Estate of W. Ross Ashby

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