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Break surface
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Ross indexed the following pages under the keyword: "Break surface".


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1931
Break Thorndike on
Break example in spirillum
Break surface example in spirillum
Delay (in substitution) cause difficulty
Survival by-product
0405 0406

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1941
Break surface
Critical surface defined
0897 0898
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
Break surface
Critical surface if not related to essential variables
Summary: "Step-function" is defined. An analytic formula given for one. If a function in a substitution is a step function of the variables, the corresponding variable in the solved equations is a step-function of the time. The effect in a field of a step-function is discussed, The essential conditions for a break are a cloud of dots, each of which has a number associated with it saying "change one of the step-functions to this new value" and not a surface as suggested on 898.
1003 1004
Break surface interaction of
Summary: In general, after a break has occurred due to the x- point touching a break point, not only the field changes but also the break points.
1017 1018
Summary: A carefully calculated field is given, with four neutral points. Useful for experimenting. (Others are on 817, 828, 839, 885, 941, 990, 1021)
Break example
Break surface interaction of
1025 1026
Summary: Later we shall have to show how we can break down the minute rigidity of our dynamic systems, where the minutest change has to be put in and may lead to something profoundly different. Suggested way of doing it.
Break surface no free edge
Critical surface has no free edge
Summary: The V-surface of a step-function cannot have a free edge.
Group (mathematical) finite continuous
1043 1044

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1942
Break surface further properties
1093 1094
Summary: "Break-surfaces" are examined and some properties noted.
Break surface layers of, protect variable
Organisation break
1095 1096
Break surface layers of, protect variable, also dependant
Summary: A layer of break surfaces keeps within bounds not only the variables concerned, but any other variable which is a direct function of them.
Variable central, protection of
1101 1102
Summary: n breaks provide 2n organisations. To give 10 different organisations every second throughout a man's life we need only 35 breaks!
Break surface causes fresh start
Learning upsets everything
Reactions new upsets old
Summary: Does the acquisition of a new reaction upset all the older one's as demanded by my theory? The answer seems to be "yes" but it may in some cases be of zero extent.
Reflex, conditioned and break-theory
1141 1142
Break surface further properties
Critical surface if not related to essential variables
Summary: A clarification of the concept of a "break-surface".
Summary: The conditioned reflex is not clear yet.
Reflex, conditioned and break-theory
1175 1176
Summary: A field can be explored easily, but break-surfaces are destroyed by their discovery. This may involve curious philosophical properties.
Break surface exploring
Organisation exploring organisation
1177 1178

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1943
Summary: The concept of "a reflex" is translated into my organisational terminology.
Reflex in dynamic system
Break surface controlled
Dominance over breaks
Levels controlling breaks
1187 1188
Summary: It has been shown that a representative point, staying within a region bounded by a layer of break-surfaces, can act as a "variable" in a substitution composed of n such points provided the representative points move with a velocity of a higher "order" than that of the substitution. "Order" is defined and explained. The ordinary substitution can be considered as the limit of this type.
Break surface controlling substitution
1197 1198
Break surface peculiarities of
1227 1228

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