Pretty Song, Pretty Maff & Pretty Flowers

 

 

Best Experienced With:        A Capella Version of Neil Young’s After The Gold Rush

(Please right click on the link below to open the suggested background music too this evening’s celebratory mathematics gathering.    Damn fine version of “After The Goldrush”.   You are cheating yourself and your ears if you choose not to right click on the link below.    If you cheat your ears, they may choose to grow unnaturally large as you get older and that’s not something you want.)

http://www.youtube.com/watch?v=d6BzTCQ6Nqo

 

Bertrand Russel once wrote:  “mathematics is the subject in which we know neither what we are talking about nor whether what we say is true”.   Opining from this chair on mathematics is analogous to opining from this chair on how to dunk a basketball or raise your children.   Of the millions of things in which I am notable and obvious in my mediocrity, mathematics is towards the top of the list.   Mathematics has structure,  laws, order, and singular correct answers.   You would be hard pressed to find many other things in life or business that have predictable structure, laws, predictable order, and singular correct answers.

Business plans, pro forma financials, sales & marketing plans, SEC required annual reports and 10Q’s are littered with assumptions.     Many, but not all, of these assumptions are rooted in math and math-y equations.     Math taught each of us to examine problems in detail before jumping into them, patience in problem solving, and the attention to detail necessary to come up with the final solution.   Math helps us see and understand patterns and relationships.   Perhaps most important, math helps us to think logically.   When I hire people, “logical thinking” is in the top quintile of the ideal traits.   Logical thinking rules the world of business.

We are using the internet right now because of math, more precisely because of prime numbers.    From Pascal’s triangle to the elusive Riemann Hypothesis, there is a ridiculous amount of beauty in math, primes, and those who can actually work with them.    Which I cannot.   Pascal and Fibonacci most certainly can.

Being a man and, of course, wanting what I cannot have more than enjoying what I have…I crave skills at mathematics.   There is a deep well of love here for mathematics and numbers.    There is also a deep well of love for orchids because you only have to water orchids once every three weeks and they make you look like a botanical genius when you keep such a a beautiful flower alive for months on end.   Neither the beautiful number sequences below nor the orchid photos from Chez Mully are my own work.     I claim them as my own to add to my marketability: another one of the areas in which I am notable in my mediocrity.    Enjoy the pretty flowers and numbers and thanks for visiting.

 

1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111 = 12345678987654321

 

 

9 x 9 + 7 = 88

98 x 9 + 6 = 888

987 x 9 + 5 = 8888

9876 x 9 + 4 = 88888

98765 x 9 + 3 = 888888

987654 x 9 + 2 = 8888888

9876543 x 9 + 1 = 88888888

98765432 x 9 + 0 = 888888888

9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888

 

 

1 x 1 = 1

11 x 11 = 121

111 x 111 = 12321

1111 x 1111 = 1234321

11111 x 11111 = 123454321

111111 x 111111 = 12345654321

1111111 x 1111111 = 1234567654321

11111111 x 11111111 = 123456787654321

111111111 x 111111111=12345678987654321

 

 

 

 

1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 987 65
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321

[1] “1 x 9 + 2 = 11″
[1] “12 x 9 + 3 = 111″
[1] “123 x 9 + 4 = 1111″
[1] “1234 x 9 + 5 = 11111″
[1] “12345 x 9 + 6 = 111111″
[1] “123456 x 9 + 7 = 1111111″
[1] “1234567 x 9 + 8 = 11111111″
[1] “12345678 x 9 + 9 = 111111111″
[1] “123456789 x 9 + 10 = 1111111111″
[1] “1234567900 x 9 + 11 = 11111111111″
[1] “12345679011 x 9 + 12 = 111111111111″
[1] “123456790122 x 9 + 13 = 1111111111111″
[1] “1234567901233 x 9 + 14 = 11111111111111″
[1] “12345679012344 x 9 + 15 = 111111111111111″
[1] “123456790123455 x 9 + 16 = 1111111111111111″
[1] “1234567901234566 x 9 + 17 = 11111111111111112″
[1] “12345679012345676 x 9 + 18 = 111111111111111104″
[1] “123456790123456784 x 9 + 19 = 1111111111111111040″
[1] “1234567901234567936 x 9 + 20 = 11111111111111110656″
[1] “12345679012345677824 x 9 + 21 = 1.11111111111111e+20

[1] “1 x 8 + 1 = 9″
[1] “12 x 8 + 2 = 98″
[1] “123 x 8 + 3 = 987″
[1] “1234 x 8 + 4 = 9876″
[1] “12345 x 8 + 5 = 98765″
[1] “123456 x 8 + 6 = 987654″
[1] “1234567 x 8 + 7 = 9876543″
[1] “12345678 x 8 + 8 = 98765432″
[1] “123456789 x 8 + 9 = 987654321″
[1] “1234567900 x 8 + 10 = 9876543210″
[1] “12345679011 x 8 + 11 = 98765432099″
[1] “123456790122 x 8 + 12 = 987654320988″
[1] “1234567901233 x 8 + 13 = 9876543209877″
[1] “12345679012344 x 8 + 14 = 98765432098766″
[1] “123456790123455 x 8 + 15 = 987654320987655″
[1] “1234567901234566 x 8 + 16 = 9876543209876544″
[1] “12345679012345676 x 8 + 17 = 98765432098765424″
[1] “123456790123456784 x 8 + 18 = 987654320987654272″
[1] “1234567901234567936 x 8 + 19 = 9876543209876543488″
[1] “12345679012345677824 x 8 + 20 = 98765432098765422592″

1 to 10 = 11×5 =55
1 to 100 = 101×50 =5050
1 to 1000 = 1001×500 =500500
1 to 10000 = 10001×5000 =50005000
1 to 100000 = 100001×50000 =5000050000
1 to 1000000 = 1000001×500000 =500000500000
1 to 10000000= 10000001×5000000=50000005000000

 

Pretty………………………..

Infinity……………………………..(click on photo below to blow it up for more infiniti clarity)