Volume 10 of W. Ross Ashby's Journal
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1947



Volume 10



2251+03	2251+04

Coordination diagrams Homeostasis illustrations
Coordination diagrams Homeostasis illustrations
2252	2253

Coordination diagrams Homeostasis illustrations
Coordination diagrams Homeostasis illustrations
2254	2255

Coordination diagrams Homeostasis illustrations
Coordination diagrams Homeostasis illustrations
2256	2257



2258	2259

Psychiatric applications [38]: Aggression and frustration forming vicious circle 2260.
Servo-mechanism theory
2260	2261

Linear system forced oscillations Oscillation forced
Summary: A linear dynamic system can be forced to beat at any frequency.
2262	2263

Homeostasis illustrations

2264	2264+01


Servo-mechanism theory
2264+02	2265

Feedback amplifier Oscillation forced
Higher geometry of fields and matrix theory [21]: Test for stability of EQUATION [x'=Ax] by complex variable theory, 2030. An example 2267.
2266	2267


Canonical equations simple examples
2268	2269

Summary: A good example of the principle of the differential equation and its integration suitable for non-mathematicians. (See also 2278)
Summary: In the exposition of scientific matter, style is even more important than usual.
2270	2271

Canonical equations of electric circuits Linear system forced oscillations Oscillation forced Servo-mechanism my form of equation

2272	2273

Summary: Notes the relations between my dynamic theory and the methods used in electrical circuit theory. Phantom limb
Natural Selection [30]: A neurotic process like mutation must occur, 2275. (Phantom limb)
2274	2275

Summary: Neuronic patterns are always breaking up and being laid down. The new ones are formed in relation to those persisting. Psychiatric applications [31]: Delusions possibly due to averaging over only a few cells 2276.
Summary: A theory of G.P.I. [general paralysis of the insane] delusions.
2276	2277


Summary: Two variations on the theme of 2269.
2278	2279

Summary: Every vestige of claim and boast must be eliminated, being replaced by equivalent facts, or dropped.

2280	2281

Summary: Quotations.

2282	2283

Summary: Two points in exposition. Pain and pleasure Pleasure nature of
Genes number of human
2284	2285


Summary: Exposition.
2286	2287

Summary: Exposition.

2288	2289


Summary: Interaction in the multistable system.
2290	2291

Psychiatric applications [7]: Drug addiction as instability 2292. Unsolved problems [5]: Can I demonstrate that after adaptation has been achieved, a process of "roughing it" (mutations) improves the adaptation? 2292.6.
Laws of nature as constraint Society [9]: Laws as step-functions in society 2293. Society [14]: Laws in society as step-functions. 2293.
2292	2293



2294	2295



2296	2297


Summary: The effects on stability of the intrinsic stabilities of the units forming the whole. If, as is usual, these are all stable, there tends to be an extra stabilising effect on the whole.
2298	2299

Psychiatric applications [5]: Objection that some disease states are characterised by an inability to vary or respond adequately, 2300. Psychiatric applications [8]: Schizophrenic patients showing increased reaction to disturbance 2300, 2301.
Psychiatric applications [8]: Schizophrenic patients showing increased reaction to disturbance 2300, 2301.
2300	2301



2301+01	2301+02

Summary: Examples of schizophrenics being displaced further from homeostasis by chemical stimuli. And a note of an objection.
Adaptation genes and adaptation Genes control adaptation in two ways Heredity genes and adaptation Natural Selection [42]: Genes produce adaptations in two ways, 2303, and thus protect themselves in two ways, 2315.
2302	2303


Summary: An "intelligent" machine must adjust more parameters than have been specified in its design. It is not clear whether my machine passes this test. (Cf. 2315)
2304	2305

Null-function defined Parameter equals null function
Summary: Some very simple "variables" do not change, i.e. [x'=0]. These are what used to be called "parameters."
2306	2307

Alpha rhythm in learning

2308	2309


Summary: Null-, step-, and part-functions are, by definition, already in equilibrium and adjustment is needed only for full functions.
2310	2311


Summary: "Joining" two machines is essentially a break and rebuild. Null-function theory is fitted.
2312	2313

Natural Selection [48]: Homeostasis = constancy = independence, why the latter? 2181. Answered 2314, to preserve the gene pattern.
Summary: Homeostasis is ultimately produced by the gene-pattern, and it protects the gene-pattern from the dangers of the world because the constancy means independence. Genes protect themselves by homeostasis Natural Selection [42]: Genes produce adaptations in two ways, 2303, and thus protect themselves in two ways, 2315.
2314	2315

Summary: Feedback. Feedback theory Servo-mechanism theory
Canonical equations of electric circuits Feedback theory Servo-mechanism theory
2316	2317


Linear system forced oscillations Oscillation forced
2318	2319

Equilibrium in electric circuits
Summary: Circuit theory in its relation to my absolute systems and stability; feedback in particular.
2320	2321

Summary: The production of the new compounds of behavior is only interaction and has nothing to do with Intelligence.
Memory can be harmful Reflex, conditioned harmfulness of
2322	2323

1948

Summary: Memory is not necessarily good. Some examples to the contrary.

2324	2325

Summary: If a stable set is to be found soon, the average number of part-functions activated should not exceed 6-10
Summary: A proof, modernised from 1724, about an absolute system within an absolute system.
2326	2327

Summary: Absolute system defined more exactly in group form.

2328	2329

Summary: Numerical example showing how much faster it is to adapt by parts instead of simultaneously
Summary: Chemical proof that fast reactions prevail over slow.
2330	2331

Unsolved problems [6]: Absolute systems with a "complex" clock or time, 2332.

2332	2333

Summary: The clock recording time must go uniformly though there are special cases where this could be modified.
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2334	2335

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2336	2337

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2338	2339

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2340	2341

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2342	2343

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2344	2345

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2346	2347

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2348	2349

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2350	2351

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2352	2353

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2354	2355

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2356	2357

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2358	2359



2360	2361

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2362	2363

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2364	2365

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }

2366	2367

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2368	2369

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2370	2371

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2372	2373

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2374	2375

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2376	2377

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }

2378	2379

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2380	2381

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2382	2383

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2384	2385

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2386	2387

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2388	2389



2390	2391



2392	2393

Summary: Joining units never adds to the system's stability unless they want to "borrow" stability.
Summary: Matrix representation of part-functions. Higher geometry of fields and matrix theory [11]: Matrix representation with zero in main diagonal as premultiplier 2395.
2394	2395


Summary: Correction to independence tests.
2396	2397

Adaptation after crossing muscles
Summary: Quotation on the CNS betraying its blindness.
2398	2399

Summary: Richter believes the basic drives are homeostatic.
Summary: In large systems the intrinsic stabilities of the units may become less important while the effect of joinings become dominant. Joining in large systems Large system self-stabilising system Higher geometry of fields and matrix theory [15]: If EQUATION, with roots r₁,...,r_n, to find ?r_p/?a_St, 0750, 1824. i.e. effect of coefficient on a root. Example 2066, 2401.
2400	2401

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2402	2403

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2404	2405

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2406	2407

Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
Higher geometry of fields and matrix theory [12]: Lists of numerical matrices suitable for sampling experiments: 5x5 { 2335 - 2349 }, { 2402 - 2409 }, 4x4 { 2350 - 2359 }, { 2380 - 2389 }, 3x3 { 2368 - 2378 }, 2x2 { 2362 - 2366 }
2408	2409



2410	2411



2412	2413



2414	2415



2416	2417



2418	2419



2420	2421

Summary: Quotation of echo impulses which seem to be absent but are shown present.
Higher geometry of fields and matrix theory [22]: If one variable is made more self-stable, the whole may become unstable, 2423, 2454, 2463, 2458, 2460.
2422	2423

Summary: Making one unit more stable intrinsically may make the whole system less stable or actually unstable. Worked out example. (Fuller discussion 2454, 2458, 2463)

2424	2425


Equilibrium of homeostat Homeostat equations etc Homeostat stability of
2426	2427



2428	2429



2429+01	2429+02

These images are reproduced courtesy of The Estate of W. Ross Ashby. Copyright 1972, 2008 © The Estate of W. Ross Ashby