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

 Previous | Next | Cards | Index | Cloud 1931
 Break Break example in spirillumBreak surface example in spirillumDelay (in substitution) cause difficulty Survival by-product 0405 0406

 Previous | Next | Cards | Index | Cloud 1941
 Break surface Critical surface defined 0897 0898
 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
 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 exampleBreak 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 edgeCritical surface has no free edge Summary: The V-surface of a step-function cannot have a free edge.Group (mathematical) finite continuous 1043 1044

 Previous | Next | Cards | Index | Cloud 1942
 Break surface further properties 1093 1094
 Summary: "Break-surfaces" are examined and some properties noted. Break surface layers of, protect variableOrganisation 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 startLearning upsets everythingReactions 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 propertiesCritical 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 exploringOrganisation exploring organisation 1177 1178

 Previous | Next | Cards | Index | Cloud 1943
 Summary: The concept of "a reflex" is translated into my organisational terminology.Reflex in dynamic system Break surface controlledDominance over breaksLevels 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
 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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