Updated NeuronRain Documentation - http://neuronrain-documentation.re…

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index.rst

@@ -205,7 +205,7 @@ Following are the conceptual relations between various draft publications in a n
 	19. ThoughtNet/EventNet are theoretical reinforcement learning simulations of Cognitive Evocation, Cause-Effect ordering and events involving actors in Clouds. ThoughtNet is a contextual multiarmed bandit Hypergraph which evokes thought/knowledge of maximum potential. Potential of thoughts/knowledge in Hypergraph is proportional to their intrinsic merit. Name ThoughtNet is a misnomer because it focuses only on evocation and doesn't exactly reflect human thought in its fullest power which is a far more complicated, less-understood open problem. Name ThoughtNet was chosen to differentiate between another evocation framework - Evocation WordNet (https://wordnet.princeton.edu/sites/wordnet/files/jbj-jeju-fellbaum.pdf - "...assigned a value of “evocation” representing how much the first concept brings to mind the second...")
 	20. Neuro Electronic Currency is an experimental fictitious currency for modelling Intrinsic Merit in economic networks. EventNet is an economic network for Money Flow Markets/Trade. Intrinsic merit in economic network is the economic influence of each vertex in trade.
 	21. Text sentences are Ramsey colored by Part-of-Speech tags and alphabet positions. Similarly graph representation of texts are Ramsey edge-colored by relations (e.g WordNet, ConceptNet relations). Text-graph complement to convert cliques to independent sets and vice-versa is a special application of Complement Functions. Coloring texts by vowel-consonant and alphabets creates 2-coloring and 255 coloring respectively and imply existence of monochromatic APs in texts. Vowel-consonant 2-coloring and vowelless string complexity are equivalent to Compressed Sensing sketches i.e extracted APs are sketches compressing text.
-	22. Shell Turing Machines are experimental novelty in definition of Turing computability which introduce dimension of truth as an additional parameter in addition to tapes, alphabets, head of tape etc., to simulate hierarchy of truths across dimensions E.g 2-D Turing Machine has no knowledge about concept of Volume which is defined only in a 3-D Turing Machine. This has similarities to Tarski Truth Undefinability - Object language versus Meta Language and parallels Goedel Incompleteness. Shell Turing machines have applications in intrinsic merit definitions in the context of word2vec embeddings of words in vector spaces. Colloquial example: Two Turing machines computing name of "Tallest building" on two vector spaces (or universe of discourses in First Order Logic) of different dimensions - "Country" and "World" - Country is a subspace of World - might return two different results though question is same.
+	22. Shell Turing Machines are experimental novelty in definition of Turing computability which introduce dimension of truth as an additional parameter in addition to tapes, alphabets, head of tape etc., to simulate hierarchy of truths across dimensions E.g 2-D Turing Machine has no knowledge about concept of Volume which is defined only in a 3-D Turing Machine. This has similarities to Tarski Truth Undefinability - Object language versus Meta Language and parallels Goedel Incompleteness. Shell Turing machines have applications in intrinsic merit definitions in the context of word2vec embeddings of words in vector spaces. Colloquial example: Two Turing machines computing name of "Tallest building" on two vector spaces (or universe of discourses in First Order Logic) of different dimensions - "Country" and "World" - Country is a subspace of World - might return two different results though question is same. Formally, Shell Turing Machines have parallels to Turing Degrees which are measures of unsolvability of a set. Turing Degree is an equivalence class and two Turing machines X and Y have degrees defined by partial order d(X) > d(Y) meaning X solves a more difficult set than Y. Essentially, Shell Turing machines defined over two vector spaces of two dimensions d1 > d2 can be construed as two machines of varying Turing degrees.
 	23. Pseudorandomness and Random Close Packing are equivalent - a random close packing is generated by a pseudorandom generator e.g shaking a container of balls shuffles the centroids of balls at random. Cellular Automaton algorithm uses Parallel PRGs to simulate Filling of Space by random strewing of solids/liquids.
 	24. A random integer partition can be generated by a Pseudorandom generator. This extends the Partition-HashTable isomorphism to PRG-Partition-Hashtable transitive equivalence: PRG produces random partitions of integer, random partitions map to random buckets in tabulation hashing. 
 	25. Computational Geometric Parallel RAM Factorization applies datastructures (e.g Parallel construction of segment trees/wavelet trees) and algorithms (Planar Point Location, ray shooting queries) from Computational Geometry and Number Theory. Factorization in number theory is a multiplicative partition problem - Factorisatio Numerorum - as opposed to additive partitions.