King Closure

Olivier Fourment, Pres., Pharma Olivier de Bous, Pres., Beauty Home Eric Ruskoski, Pres., Closures King W. Harris, Chmn. 

As if these synthetic symmetries were not enough, in addition we find that when the first order of difference of the King Wen sequence is graphed it appears random or unpredictable (fig. 18A). Elowever, when an image of the graph is rotated 180 degrees within the plane and superimposed upon itself, it is found to achieve closure at four adjacent points (fig. 18B). 

More than 1.2 million hexagram sequences were randomly generated by computer (all sequences having the property possessed by the King Wen sequence that every second hexagram is either the inverse or the complement of its predecessor). Of these 1.2 million Wen-like sequences, 805 were found to have the properties of a three to one ratio of even to odd transitions, no transitions of value five, and the type of closure described previously. Such sequences were found to be very rare, occurring in only. 07 cases or approximately one in every 1,769 of the Wen-like sequences. 

Synthesis of Kings in which Formation of a C—Se Bond is the Rii -closure Step... 

King TD,Thompson SL, Steiner C and Mills NL. Secundum atrial septal defect Nonoperative closure during cardiac catheterization. JAMA 1976 June 7 235(23) 2506-2509. 

With well-positioned substituents, the product from the Ortoleva-King reaction may be followed by readily ring closures to yield a variety of heterocycles. Case in point was made by an elegant synthesis of 2-pyridyl-pyrrocoline 22 reported by Krdhnke et al First, picoline salt 21 was prepared from the Ortoleva-King reaction of acylpyridine 20 and picoline. Upon treatment of saturated sodium bicarbonate 21 underwent rapid cyclization to give rise to pyrrocoline 22 in excellent yield. 

Bernard Gondon, Not King Coal, Forbes, May 26, 2003, at 80 (quote) Ken Ward, Jr., Mine Received 64 Closure Orders Prior to Disaster, Charleston Gazette, April 8, 2010, at Ai Steven Mufson, Jarty Markon Ed O Keefe, West Virginia Mine Has Been Cited for Myriad Safety Violations, WP, April 7,2oro, at Ai. 

---