• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Logic hyperoperators hixidom Junior Fellow Posts: 20 Threads: 3 Joined: Feb 2014 10/14/2015, 08:26 PM Something that occurred to me recently (maybe it's already been mentioned here somewhere)... Say a[1]b = a+b and a[2]b = ab, Then if "true" and "false" are defined as 1 and 0, respectively, and if a and b are restricted to boolean values, then H(a[1]b) = a OR b and H(a[2]b) = a AND b. where H(x) is Heaviside function with H(0)=0. So, by analogy, H(a[1.5]b) would be some sort of interpolant of AND and OR. Alternatively, you could use modulus operator, %: (a[1]b)%2 = a XOR b (a[2]b)%2 = a AND b therefore (a[1.5]b)%2 interpolates AND and XOR. Somehow I feel that the use of H and % corrupt the validity of this idea, but I'm just curious if anyone else can get further with this than I can. Thanks for reading. Andy « Next Oldest | Next Newest »

 Messages In This Thread Logic hyperoperators - by hixidom - 10/14/2015, 08:26 PM

 Possibly Related Threads... Thread Author Replies Views Last Post All Maps Have Flows & All Hyperoperators Operate on Matrices Daniel 0 300 03/14/2020, 06:22 AM Last Post: Daniel Interesting commutative hyperoperators ? tommy1729 0 351 02/17/2020, 11:07 PM Last Post: tommy1729 Theorem in fractional calculus needed for hyperoperators JmsNxn 5 7,521 07/07/2014, 06:47 PM Last Post: MphLee Hyperoperators [n] basics for large n dyitto 9 10,100 03/12/2011, 10:19 PM Last Post: dyitto Hyperoperators Mr. Pig 4 6,092 06/20/2010, 12:26 PM Last Post: bo198214

Users browsing this thread: 1 Guest(s)