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Dependence
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Ross indexed the following pages under the keyword: "Dependence".


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1941
Summary: (1) It is impossible to say how much one variable depends on another. (2) The meaning of "dx'i/dxk" is given. (3) The Question "Does xi depend on xk" is meaningless. (4) New form of matrix test for dominance is given. (5) Definitions given of (a) xi-t curve depends on x0k, (b) xi-t curve is independant of x0k, (c) xi dominates xk, (d) "parameter".
Summary: I have decided in future to end the Sections with a Summary. It may perhaps force rather more tidiness into the ideas and will be useful for reference.
Dependence defined
Dominance definition
Independence defined
0959 0960
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

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1953
Summary: Isomorphism between machines.
Summary: Distinguishability correspond to dependence.
Dependence = distinguishability
Distinguishability and dependence
Distinguishability tends to fall
The Multistable System [80]: The theory dependencies is that of distinguishabilities 4559.
Epistemology [31]: Distinguishability is related to dependence 4559.
4558 4559
Summary: Coordinates and projections in relational form.
Dependence Riguet's definition
Independence Riguet's definition
4756 4757

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1954
Dependence Riguet's definition
Diagram of immediate effects (D.I.E.) Riguet's formulation
Independence Riguet's definition
4992 4993

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1955
Dependence better
Immediate effect algebraic definition
5172 5173

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1960
Summary: [SRS-1] is the "shadow" of R when "projected" by S. It can be inverted back to R if and only if [S-1S=Δ]. 6265
Dependence better
Diagram of immediate effects (D.I.E.) algebraic form
Immediate effect algebraic definition
6262 6263

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