Updated index.rst

shrinivaasanka · Oct 11, 2022 · 20cdbef · 20cdbef · shrinivaasanka · Oct 11, 2022
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@@ -287,7 +287,7 @@ Only arXiv articles and TAC 2010 publications below are reviewed and guided by f
 • 2010 - Algorithms for Intrinsic Merit - http://arxiv.org/abs/1006.4458
 • 2010 - NIST TAC 2010 version of Algorithms for Intrinsic Merit - http://www.nist.gov/tac/publications/2010/participant.papers/CMI_IIT.proceedings.pdf
 
-Important Cautionary Legal Disclaimer: All other theory drafts (excluding earlier publications) in NeuronRain design documents and http://sites.google.com/site/kuja27 (Deleted and Mirrored at https://github.com/shrinivaasanka/Krishna_iResearch_DoxygenDocs/blob/master/kuja27_website_mirrored/site/kuja27/ - Linked by new expanded portal https://acadpdrafts.readthedocs.io) including theorem-proofs thereof are non-peer-reviewed, private, unvetted and unaffiliated research of the author (K.Srinivasan - https://sites.google.com/site/kuja27/ - Deleted and Mirrored at https://github.com/shrinivaasanka/Krishna_iResearch_DoxygenDocs/blob/master/kuja27_website_mirrored/site/kuja27/ - Linked by new expanded portal https://acadpdrafts.readthedocs.io) aligned to features of NeuronRain codebases and as well significant expansions of previous publications (Refer to "NeuronRain Licensing" section of FAQ). Author is an independent professional and because of certain speculations and confusions about its monetization-commercialization by an anonymous entity and conflicts-violations brought to notice, it is hereby clarified that NeuronRain codebases, architecture and development are private, independent, non-commercial, academic research and charity initiatives of author subject to NeuronRain licensing terms (GPL 3.0 and CC 4.0) and have nothing to do with any of the organizations and academic institutions (government or private) author may or may not have worked/affiliated with in the past including but not limited to any commercial derived clones of NeuronRain that might be in circulation by aforementioned entity with which author has no relationship (business and otherwise) - author contributes to NeuronRain codebases as a noble charity gesture motivated towards academic enlightenment without monetary or royalty benefit from any external funding source. Cloning NeuronRain for production-commercial deployments is cautioned against because of certain known technical issues (mostly with respect to fragile low level linux kernelspace RPC - Refer BestPractices.txt in NeuronRain AstroInfer source code - VIRGO32 and VIRGO64 linux kernel system calls and drivers are sensitive to hardware-architectural idiosyncracies and mainline linux kernel versions - what works in previous mainline kernel version may not work in next because of subtle system call interface changes in kernelspace sockets causing regressions. Because of earlier technicality, mainline version of VIRGO32 and VIRGO64 hasn't been QAed and updated since 4.13.3 (for system calls and drivers excluding PXRC) and 5.1.4 (for PXRC) and mainline kernel upgrade underneath and build is left to enduser) though academic usage is encouraged. Author has no involvement in any alleged commercialization of NeuronRain fork-off by aforementioned anonymous entity and bears no responsibility for misgivings caused - NeuronRain is not for sale and would remain as academic charity forever, safeguarding sanctity and spirit of FOSS though design and code of NeuronRain is being derived, cloned or extended by author within BRIHASPATHI organization (JAIMINI closedsource repositories in GitHub,GitLab and SourceForge) and used as textbook reference for BRIHASPATHI commercial online classrooms and repositories (reference: BRIHASPATHI print media advertisements - THE HINDU - 20 March 2022 and 26 June 2022 - https://github.com/shrinivaasanka/Krishna_iResearch_DoxygenDocs/blob/master/TheHinduAdvt_TrichyEdition_2022-03-20.jpg , https://github.com/shrinivaasanka/Krishna_iResearch_DoxygenDocs/blob/master/TheHinduAdvt_AllIndiaEdition_2022-06-26.jpg ). Neuro Protocol Buffer Perfect Forward (Cloud Object Move) Cryptocurrency implemented in NeuronRain is only an academic research effort for modelling money changing problem and optimal denomination, economic networks, transaction hyperledgering and money trail. Neuro is a fictitious cryptocurrency and not a legal tender and cannot be used as a commercial denomination. Academic use of Neuro is subject to government regulations and statute.
+Important Cautionary Legal Disclaimer: All other theory drafts (excluding earlier publications) in NeuronRain design documents and http://sites.google.com/site/kuja27 (Deleted and Mirrored at https://github.com/shrinivaasanka/Krishna_iResearch_DoxygenDocs/blob/master/kuja27_website_mirrored/site/kuja27/ - Linked by new expanded portal https://acadpdrafts.readthedocs.io) including theorem-proofs thereof are non-peer-reviewed, private, unvetted and unaffiliated research of the author (K.Srinivasan - https://sites.google.com/site/kuja27/ - Deleted and Mirrored at https://github.com/shrinivaasanka/Krishna_iResearch_DoxygenDocs/blob/master/kuja27_website_mirrored/site/kuja27/ - Linked by new expanded portal https://acadpdrafts.readthedocs.io) aligned to features of NeuronRain codebases and as well significant expansions of previous publications (Refer to "NeuronRain Licensing" section of FAQ). Author is an independent professional and because of certain speculations and confusions about its monetization-commercialization by an anonymous entity and conflicts-violations brought to notice, it is hereby clarified that NeuronRain codebases, architecture and development are private, independent, non-commercial, academic research and charity initiatives of author subject to NeuronRain licensing terms (GPL 3.0 and CC 4.0) and have nothing to do with any of the organizations and academic institutions (government or private) author may or may not have worked/affiliated with in the past including but not limited to any commercial derived clones of NeuronRain that might be in circulation by aforementioned entity with which author has no relationship (business and otherwise) - author contributes to NeuronRain codebases as a noble charity gesture motivated towards academic enlightenment without monetary or royalty benefit from any external funding source. Cloning NeuronRain for production-commercial deployments is cautioned against because of certain known technical issues (mostly with respect to fragile low level linux kernelspace RPC - Refer BestPractices.txt in NeuronRain AstroInfer source code - VIRGO32 and VIRGO64 linux kernel system calls and drivers are sensitive to hardware-architectural idiosyncracies and mainline linux kernel versions - what works in previous mainline kernel version may not work in next because of subtle system call interface changes in kernelspace sockets causing regressions (example of an issue found in 4.1.5 and fixed in 4.10.3 i915 GEM drivers - DMA panics - https://github.com/shrinivaasanka/asfer-github-code/issues/1). Another issue is the non-reentrant nature of VIRGO system calls - Mutexing within VIRGO system calls have been disabled per commit hash comments https://github.com/shrinivaasanka/virgo64-linux-github-code/commit/ad59cbb0bec23ced72109f8c5a63338d1fd84beb . Because of earlier technicality, mainline version of VIRGO32 and VIRGO64 hasn't been QAed and updated since 4.13.3 (for system calls and drivers excluding PXRC) and 5.1.4 (for PXRC) and mainline kernel upgrade underneath and build is left to enduser) though academic usage is encouraged. Author has no involvement in any alleged commercialization of NeuronRain fork-off by aforementioned anonymous entity and bears no responsibility for misgivings caused - NeuronRain is not for sale and would remain as academic charity forever, safeguarding sanctity and spirit of FOSS though design and code of NeuronRain is being derived, cloned or extended by author within BRIHASPATHI organization (JAIMINI closedsource repositories in GitHub,GitLab and SourceForge) and used as textbook reference for BRIHASPATHI commercial online classrooms and repositories (reference: BRIHASPATHI print media advertisements - THE HINDU - 20 March 2022 and 26 June 2022 - https://github.com/shrinivaasanka/Krishna_iResearch_DoxygenDocs/blob/master/TheHinduAdvt_TrichyEdition_2022-03-20.jpg , https://github.com/shrinivaasanka/Krishna_iResearch_DoxygenDocs/blob/master/TheHinduAdvt_AllIndiaEdition_2022-06-26.jpg ). Bugs-Issues for all NeuronRain repositories can be filed in NeuronRain JIRA - https://krishnairesearch.atlassian.net/jira/software/projects/NEUR/boards/1 . Neuro Protocol Buffer Perfect Forward (Cloud Object Move) Cryptocurrency implemented in NeuronRain is only an academic research effort for modelling money changing problem and optimal denomination, economic networks, transaction hyperledgering and money trail. Neuro is a fictitious cryptocurrency and not a legal tender and cannot be used as a commercial denomination. Academic use of Neuro is subject to government regulations and statute.
 
 **Is there a central theme connecting the publications, drafts and their implementations mentioned previously?**
 
@@ -324,7 +324,7 @@ isolate the meanings of common pictogram B in three ways by 1) Set intersection
 	   1.17 Time Series Analysis for different types of datasources - Leaky Bucket, ARMA and ARIMA, miscellaneous statistics functions based on R and PythonR (Economic merit - Poverty alleviation example by timeseries correlation of poverty and financial deepening - https://www.researchgate.net/publication/287580802_Financial_development_and_poverty_alleviation_Time_series_evidence_from_Pakistan, Granger causality)
 	   1.18 Fame-Merit Equilibrium(any Semantic Network) - applies to all previous merit measures and how they relate to perceptions. In the absence of 100% good intrinsic merit function, it is often infeasible to ascertain merit exactly. But Market Equilibrium Pricing in algorithmic economics solves this problem approximately by finding an equilibrium point between intrinsic and perceived price of a commodity. Similar Intrinsic(Merit) Versus Perceived(Fame) equilibria can be defined for every class of merit above and solution is only approximate. [Conjecture: Fame-Merit equilibrium and Converging Markov Random Walk (PageRank) rankings should coincide - Both are two facets of mistake-minimizing Nash equilibrium per Condorcet Jury Theorem for infinite jury though algorithmically different - former is a convex program and latter is a markov chain. Convex Optimization has been shown to be solved by Random Walks - https://www.mit.edu/~dbertsim/papers/Optimization/Solving%20Convex%20Programs%20by%20Random%20Walks.pdf]
 	2. Complement Functions are subset of Diophantine Equations (e.g Beatty functions). Polynomial Reconstruction Problem/List decoding/Interpolation which retrieve a polynomial (exact or approximate) for set of message points is indeed a Diophantine Representation/Diophantine Approximation problem for the complementary sets (e.g. approximating Real Pi by Rational Continued Fractions). Undecidability of Complement Diophantine Representation follows from MRDP theorem and Post's Correspondence Problem. Prime-Composite complementation is a special diophantine problem of finding patterns in primes which relies on non-trivial zeroes of Riemann Zeta Function (Riemann Hypothesis). ABC Conjecture can be rephrased as a complementation problem. Riemann Hypothesis has Diophantine representation by Davis-Matiyasevich-Robinson Theorem.
-	3. Factorization has a Diophantine Representation (Brahmagupta's Chakravala and Pell Equation: x^2 - y^2 = N = (x+y)(x-y))
+	3. Factorization has a Diophantine Representation (Brahmagupta's Chakravala and Pell Equation: x^2 - y^2 = N = (x+y)(x-y)). Four major problems are solved by NeuronRain MapReduce-NC-PRAM-BSP-Multicore Computational Geometric Factorization: (*) Factorization of composites for which no polynomial time algorithms known (*) Primality Testing which is known to be O((logN)^6) by an improved version of AKS primality test - [Pomerance-Lenstra] - https://math.dartmouth.edu/~carlp/aks041411.pdf (*) Finding Square Roots - known to be O((logN)^kloglogN) by Newton-Raphson algorithm (*) Pell's equation (which so far has only a quantum polynomial time algorithm known - https://arxiv.org/abs/quant-ph/0302134 )
 	4. Tiling/Filling/Packing is a generalization of Complement Functions (Exact Cover).
 	5. Majority Function has a Tabulation Hashing definition (e.g Electronic Voting Machines) i.e Hash table of candidates as keys and votes per candidate as chained buckets
 	6. Integer Partitions and Tabulation Hashing are isomorphic e.g partition of an integer 21 as 5+2+3+4+5+2 and Hash table of 21 values partitioned by keys on bucket chains of sizes 5,2,3,4,5,2 are bijective. Both Set Partitons and Hash tables are exact covers quantified by Bell Numbers/Stirling Numbers. Partitions/Hashing is a special case of Multiple Agent Resource Allocation problem. Thus hash tables and partitions create complementary sets defined by Diophantine equations. Pareto Efficient resource allocation by Multi Agent Graph Coloring - coloring partition of vertices of a graph - finds importance in GIS and Urban Sprawl analytics, Resource Scheduling in Operating Systems (allocating processors to processes), Resource allocation in People Analytics (allocating scarce resources - jobs, education - to people) by a Social welfare function e.g Envy-Free, Pareto efficient Multi Agent Graph Fair Coloring of Social Networks to identify communities, allocate resources to communities of social networks in proportion to size of each community.