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= ∏i for any i the entire hierarchy collapses to Σi., So PH = Σ1 = NP = P. Let P=PH. NP=Σ1⊆PH=P, Therefore NP⊆P and trivially P⊆NP. Therefore, P=NP Note...

company called APX, not one relating to complexity. I can't even find the actual article about the complexity class APX. Does it exist? Interestingly...

ordinary) tasks require knowing about the distinctions between these complexity classes, eg. when to use linked lists vs. arrays or vectors. Any thoughts...

tail of what specified complexity is aiming to prove. Would it be accurate to say that the ultimate idea behind specified complexity is that life is too...

j)=TIME(C)^{\Sigma^P_j}, it means that having alternations or oracles in the PH (complexity) is the same thing. I would like if anyone can give a reference, the...

(UTC) Sounds good to me. pH is a measure of a formal "hydrogen" and in practice it is defined operationally due to the complexity of the physical chemistry...

make only a trivial improvement, given the complexity of, for example, Template:PH town table/mid. Template:PH town table/mid5 includes nested calls to...

"Although Wikipedia states that Hermann_Joseph_Muller discovered irreducible complexity, t...". Apart from the self referentiality (to WP), I dislike the word...

Complexity: The Science, its Vocabular, and its Relation to Organizations. Emergence 11:1999, p. 112 Peter A. Corning, Ph.D. [4] Peter A. Corning, Ph...

Mellon University, 2012. Michael Wehar. On the complexity of intersection non-emptiness problems. PhD thesis, University at Buffalo, 2016. http://michaelwehar...

{\displaystyle \Sigma _{2}} , P H {\displaystyle \mathrm {PH} } , etc? I wondered if they might represent complexity classes, but there's nothing obviously relevant...

make only a trivial improvement, given the complexity of, for example, Template:PH town table/mid. Template:PH town table/mid5 includes nested calls to...

PeterLFlomPhD (talk) 20:57, 26 July 2015 (UTC) I am alone in thinking that this page needs considerable work? It covers only regression (and that only...

Your table is excellent. They are a lot of work to do, so I admire the complexity of it. Carol570cjk (talk) 15:08, 23 November 2011 (UTC) Very interesting...

2006-11-29 Ben-Shachar's PhD is not from Harvard Business School. HBS is actually not even authorized by the University to grant PhD's -- their own doctoral...

Quantum sorting: Høyer, Peter; Neerbek, Jan; Shi, Yaoyun (2001). "Quantum complexities of ordered searching, sorting, and element distinctness". 28th International...

August 2005 (UTC) It's popular in a number of complexity articles to embolden all occurrences of complexity class names, with the possible exception of...

a better organization is needed between the articles Complexity, Complexity theory, Complexity theory and organizations, Complex adaptive system and...

irreducible complexity must also be irreducibly complex" design(p) implies irreducible complexity (q) suppose design (p) therefore, irreducible complexity(q)....

of chaotic systems is the heart of the matter!. All the paragraph of Complexity and Chaos theory is complete nonsense. Just a comment on the above paragraph:...