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10.1007/s11047-015-9527-0 http://scihub22266oqcxt.onion/10.1007/s11047-015-9527-0 C5012322!5012322 !27616944     free     free     free Warning: file_get_contents(https://eutils.ncbi.nlm.nih.gov/entrez/eutils/elink.fcgi?dbfrom=pubmed&id=27616944 &cmd=llinks): Failed to open stream: HTTP request failed! HTTP/1.1 429 Too Many Requests in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 215 Warning: imagejpeg(C:\Inetpub\vhosts\kidney.de\httpdocs\phplern\27616944 .jpg): Failed to open stream: No such file or directory in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 117       Nat+Comput 2016 ; 15 (1 ): 97-113 Nephropedia Template TP {{tp|p=27616944 |t=2016. Counter machines and crystallographic structures |pdf=|usr=}}{{27616944 }} gab.com Text Counter machines and crystallographic structures JO: Nat Comput http://www.kidney.de/pget.php?&tw=1&pmid=27616944 #FOAvip One way to depict a crystallographic structure is by a periodic (di)graph, i.e., a graph whose group of automorphisms has a translational subgroup of finite index acting freely on the structure. We establish a relationship between periodic graphs representing crystallographic structures and an infinite hierarchy of intersection languages ??? (d) , d = 0, 1, 2, ?, within the intersection classes of deterministic context-free languages. We introduce a class of counter machines that accept these languages, where the machines with d counters recognize the class ??? (d) An intersection of d languages in ???(1) defines ??? (d) . We prove that there is a one-to-one correspondence between sets of walks starting and ending in the same unit of a d-dimensional periodic (di)graph and the class of languages in ??? (d) . The proof uses the following result: given a digraph ? and a group G, there is a unique digraph ? such that G ? Aut ?, G acts freely on the structure, and ?/G ? ?. Twit Text FOAVip Counter machines and crystallographic structures ????Nat Comput http://www.kidney.de/pget.php?&tw=1&pmid=27616944 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=27616944 #FOAvip English Wikipedia <ref>{{Cite pmid|27616944 }}</ref> Counter machines and crystallographic structures #MMPMID27616944 Jonoska N ; Krajcevski M ; McColm G Nat Comput 2016[Mar]; 15 (1 ): 97-113 PMID27616944 show ga One way to depict a crystallographic structure is by a periodic (di)graph, i.e., a graph whose group of automorphisms has a translational subgroup of finite index acting freely on the structure. We establish a relationship between periodic graphs representing crystallographic structures and an infinite hierarchy of intersection languages ??? (d) , d = 0, 1, 2, ?, within the intersection classes of deterministic context-free languages. We introduce a class of counter machines that accept these languages, where the machines with d counters recognize the class ??? (d) An intersection of d languages in ???(1) defines ??? (d) . We prove that there is a one-to-one correspondence between sets of walks starting and ending in the same unit of a d-dimensional periodic (di)graph and the class of languages in ??? (d) . The proof uses the following result: given a digraph ? and a group G, there is a unique digraph ? such that G ? Aut ?, G acts freely on the structure, and ?/G ? ?. äCounter machines and crystallographic structures (epmc).pdf DeepDyve Pubget Overpricing