People who regularly read my blog will remember when me and my old friend flew to Germany in 2017 and visited the Night Of The Prog at Loreley.
Hitler built the amphitheatre to host his celebration victory of WW2. Thankfully this never happened and the powers at be now host concerts there. It's a beautiful setting overlooking the river Rhine. The beer was good and the sun gods did shineth on us.
One band who we particularly enjoyed were the David Cross band. David Jackson was on Saxophone and other instruments and he was once in Vandergraaf Generator. The David Cross band were brilliant!
Now how ever David Jackson is in a Kent Prog band and this also features his daughter on vocals. Her voice is amazing and reminds me of Sally Oldfield, think Moonlight Shadow..? The band is called Kaprekars Constant. Named after the famous Indian Mathematician I believe.
I'm hoping to see them this year at a festival in Blighty. My friend and Prog fan kindly told me about them in a email. Here's one of there tracks for your perusal and enjoyment:
Do you like them? You can't beat a bit of Prog.
Any one explain Kaprekars constant mathematical equation? No you're alright thanks!😊
6174 is known as Kaprekar's constant after the Indian mathematician D. R. Kaprekar. This number is notable for the following rule:ReplyDelete
Take any four-digit number, using at least two different digits (leading zeros are allowed).
Arrange the digits in descending and then in ascending order to get two four-digit numbers, adding leading zeros if necessary.
Subtract the smaller number from the bigger number.
Go back to step 2 and repeat.
The above process, known as Kaprekar's routine, will always reach its fixed point, 6174, in at most 7 iterations. Once 6174 is reached, the process will continue yielding 7641 – 1467 = 6174. For example, choose 1495:
9541 – 1459 = 8082
8820 – 0288 = 8532
8532 – 2358 = 6174
7641 – 1467 = 6174
The only four-digit numbers for which Kaprekar's routine does not reach 6174 are repdigits such as 1111, which give the result 0000 after a single iteration. All other four-digit numbers eventually reach 6174 if leading zeros are used to keep the number of digits at 4.
I hope that helps Dave.
Call it a memory?😊ReplyDelete