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

Group (mathematical) origin of Operator as relation Organisation Eddington on Relation and group Relation as operator Unobservables Coulomb force Vision binocular Mesa phenomenon Network transmission through Organisation of operators Pattern (in general) as group-structure 0371 0372

Group (mathematical) = structure, pattern Indexed as far as Reprint Pattern (in general) as group-structure Operator spectral set 0377 0378

Group (mathematical) Eddington's special 0379 0380

Inhibition and organisation Levels and organisation Structure all knowledge as Adaptation an illusion Environment imperfect adaptation to Group (mathematical) Eddington's special Intelligence is blind 0395 0396

Equilibrium "in exhaustion" Equilibrium and group Gestalt as stabiliser Group (mathematical) as stabiliser Operator as generators 0811 0812

Organisation important variables Variable central Group (mathematical) of optical illusion Operator of optical illusion 0823 0824

Group (mathematical) = structure, pattern Operator and orgaisation Organisation two meanings Space-time and patterns Equilibrium characteristics of Pattern (in general) as group-structure 0829 0830

Environment perfect Group (mathematical) existence of 0833 0834

Group (mathematical) finite continuous Organisation parameters of Parameter of organisation 0845 0846

Equilibrium by inhibition Reflex, conditioned Group (mathematical) calculating machine as Organisation in group 0853 0854

Group (mathematical) orderliness Organisation spread of Structure interlocking 0861 0862

Break of organisation Energy free energy Organisation break of Group (mathematical) of groups Isomorphism and representations 0865 0866

Group (mathematical) basic Hallucination and isomorphism Isomorphism and neurosis Pattern (in general) and neurosis 0871 0872

Group (mathematical) and equilibrium Neutral point (of equilibrium - including 'cycle', 'region' etc.) examples Brain 'break' in Break of organisation Organisation break of 0885 0886

Group (mathematical) and machine Organisation in group 0901 0902

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

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

Summary: One stage in our long journey is finished and solved: the 'exact' case, i.e. an organisation where we are given full and exact information about every little detail. Differential equation and linear partial differential equations Group (mathematical) and isomorphism Isomorphism ? group necessary 1059 1060

Summary: A definition of 'organisation' is given which covers both dynamic, machine, organisations, and static, pattern ones. Organisation definition Summary: An "organisation", by the definition of the previous page, need not be a group. Group (mathematical) and organisation Organisation in group 1065 1066

Summary: Detailed example showing the roots moving with change of one coefficient in [x'=Ax] Higher geometry of fields and matrix theory [15]: If EQUATION, with roots r1,...,rn, to find ?rp/?aSt, 0750, 1824. i.e. effect of coefficient on a root. Example 2066, 2401. Group (mathematical) theory of one-parameter 2066 2067

Summary: Dictionary definitions: Representative, Stability, State, System, Variable. Activity variety of Group (mathematical) scientific knowledge as Epistemology [3]: An early review of what is meant by 'knowing' { 2790 - 2801 } 2789 2790

Group (mathematical) and pattern Pattern (in general) as group-structure Summary: Example of pattern and group. Markov process / chain predicting words and letters 2823 2824

Non-linear systems Stoker on Group (mathematical) use of characteristics The Multistable System [96]: Dispersion must first occur in a memory-free region if one reaction is not to upset another. 2988. 2987 2988

Group (mathematical) natural unit as group The Multistable System [71]: A system with null-functions, if observed on a new set of dials, no longer shows null-functions (Ashby 3757). The Multistable System [83]: The breaking of a whole into subsystems by part-functions is not invariant for change of coordinates. 3757. 3756 3757

Summary: Entropy with two outputs, and the transmission of information from system to system. 4312, 4429 Transmission from system to system Epistemology [19]: "Knowing" as being at the right memory-state 4310. Summary: Scientific knowledge is knowledge of a transformation. 4344, 4454 Group (mathematical) not all science Epistemology [20]: All knowledge is knowledge of transformation, 4311. 4310 4311

Transformation Monograph Closure defined Group (mathematical) origin of Transformation Monograph 4328 4329

Black box, problem of the isomorphism Invariant of Black Box Isomorphism in Black Box Group (mathematical) not all science 4458 4459

Summary: "Maximising profits" as a "keeping within limits." Essential variables maximising Society [61]: When limits of essential variables are 0 and + 8, and random disturbances are likely, best strategy is to make the value maximal, as with profits, 4642. Society [62]: Self locking by, Standing Orders 4642. Summary: Self-locking in society. Group (mathematical) not all science Self-locking system in Parliament Stable set in science Standing Orders self-locking Personal notes [20]: Reviews of "Design": 4258 Observer, 4309 Citizen, 4380 British Medical Journal, 4423 Journal of Consulting Psychology, 4423 McCulloch, 4446. Hibbert Journal, 4595 Galaxy, 4595 Scientific American, 4643 Occupational Psychology. 4642 4643

Summary: Reduction of high cylindrance to low; examples. 6611 Cylindrance reduction of, example Group (mathematical) Lie L(x+y) 6568 6569

Summary: To get predictions from kinematic topology, use repetitive structured inputs. 6773 Absolute system use in theory ASP Group (mathematical) in machines with input 6768 6769

Cylindrance of group Group (mathematical) cylindrance of Summary: The cylindrance of every group is 3 Summary: Cylindrance of the interaction set. Cylindrance of interaction set Interaction cylindrance of 6882 6883