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


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1931
Diffusion in growth
Equilibrium and hysteresis
Neutral point (of equilibrium - including 'cycle', 'region' etc.) choice of several
Substitution (mathematical) and hysteresis
0397 0398

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1941
Operator = machine
Organisation machine = substitution operator
Organisation specification of
Substitution (mathematical) specifies machine
Break in machine
Break surface
Neutral point (of equilibrium - including 'cycle', 'region' etc.) defined
0905 0906
Operator for reflex
Organisation machine = substitution operator
Reflex as operator
Stimulus group structure of
Substitution (mathematical) for reflex
0913 0914
Entropy and sensory adaptation
Differential equation turned to operator
Group (mathematical) and machine
Isomorphism in machine
Operator = differential equation
Substitution (mathematical) as differential equation
0917 0918
Holism depends on time
Substitution (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 for
Dominance test for
Independence test for
Substitution (mathematical) reducibility
0985 0986
Summary: A (better) restatement of the theorem of 680.
Neutral point (of equilibrium - including 'cycle', 'region' etc.) in differential equation
Substitution (mathematical) as differential equation
0987 0988
Break and step-function
Break example
Organisation break of
Substitution (mathematical) break and
0991 0992
Substitution (mathematical) step-function in
0997 0998

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1942
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 definition
Organisation change of neutral point
Substitution (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 approximation
Step function eqivalent continuous form
Substitution (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 variation
Conscious mind and intrinsic equations
Organisation change = variation
Organisation intrinsic equation
Reactions response ? variation
Subjective and intrinsic equations
Substitution (mathematical) intrinsic equation
Delay (in substitution) and sub-wholes
Organisation degree of
1123 1124

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1943
Summary: The number of possible ways of organising n variables is at last answered. It is of the order of |n
Operator example
Substitution (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 of
Substitution (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 discussion
Step function in substitution
Substitution (mathematical) part-function in
1259 1260

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1950
Summary: A conditioned reflex demonstrated on the homeostat. 2762, 5708, 5855
Substitution (mathematical) two simple examples
Summary: Examples of simple substitutions.
Mind (individual) meaning of
2753 2754

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1952
Summary: Example of a canonical equation of nullity 2. 3799
Substitution (mathematical) example
Independence to pattern
3776 3777

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