On Mon, 29 Jul 2024 18:58:21 +0000, HenHanna wrote:

On 7/26/2024 5:37 AM, IlanMayer wrote:

On Thu, 25 Jul 2024 19:07:56 +0000, HenHanna wrote:

e.g. -------- For the (street)  Numbers (1,2,3,4,5,6,7,8)

                         (1,2,3,4,5)  and  (7,8)  both add up to 15.



“In a given street of houses with consecutive numbers between 50 and
500, find the house number, for which, the sum of numbers on the left is >>> equal to the sum of numbers on the right”



  Ramanujan and Strand Puzzle

            this was a very interesting puzzle tackled by the genius
Srinivasa Ramanujan.        In the year 1914, P.C. Mahalanobis, a Kings
college student in England, got hold of a puzzle from the Strand
magazine.

Solution found at:
https://ubpdqnmathematica.wordpress.com/2021/12/05/ramanujan-and-strand-puzzle/

thanks!

So the solutions to the Strand puzzle can be found from the

continued fraction of \sqrt{2}, which _is_ satisfying simple.

Using Mathematica to look at the first 10 convergents

---------- is this (also) easy to do using Lisp or Python???

This can be done with Python:

N = 10
a = 1
b = 1
print(str(a) + "/" + str(b))
for n in range(N):
temp = a + 2 * b
b = a + b
a = temp
print(str(a) + "/" + str(b))

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XPost: sci.lang, sci.math

On 7/30/2024 2:38 PM, IlanMayer wrote:

On Mon, 29 Jul 2024 18:58:21 +0000, HenHanna wrote:

On 7/26/2024 5:37 AM, IlanMayer wrote:

On Thu, 25 Jul 2024 19:07:56 +0000, HenHanna wrote:

e.g. -------- For the (street)  Numbers (1,2,3,4,5,6,7,8)

                         (1,2,3,4,5)  and  (7,8)  both add up to 15.



“In a given street of houses with consecutive numbers between 50 and >>>> 500, find the house number, for which, the sum of numbers on the
left is
equal to the sum of numbers on the right”



  Ramanujan and Strand Puzzle

            this was a very interesting puzzle tackled by the genius
Srinivasa Ramanujan.        In the year 1914, P.C. Mahalanobis, a Kings
college student in England, got hold of a puzzle from the Strand
magazine.

Solution found at:
https://ubpdqnmathematica.wordpress.com/2021/12/05/ramanujan-and-
strand-puzzle/

thanks!

;    So the solutions to the Strand puzzle can be found from the

continued fraction of \sqrt{2}, which  _is_  satisfying simple.

;   Using Mathematica to look at the first 10 convergents

---------- is this (also) easy to do using Lisp or Python???

This can be done with Python:

N = 10
a = 1
b = 1
print(str(a) + "/" + str(b))
for n in range(N):
   temp = a + 2 * b
   b = a + b
   a = temp
   print(str(a) + "/" + str(b))

thanks! i've been reading about Ramanujan for 30+ years
and a few days ago, i watched a clip by Cindy Pom that
taught me a few new key things... like ...
He was married to a young girl when he moved to England.

He didn't want to travel to England because...........

______________
in Ramanujan's 1st letter to Hardy

1-2+3-4+5-6= ............

Are there just 4 formulas like this? Or are there dozens more?

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ilan_no_spew@hotmail.com (IlanMayer) writes:

On Mon, 29 Jul 2024 18:58:21 +0000, HenHanna wrote:

On 7/26/2024 5:37 AM, IlanMayer wrote:

So the solutions to the Strand puzzle can be found from the
continued fraction of \sqrt{2}, which _is_ satisfying simple.
Using Mathematica to look at the first 10 convergents

---------- is this (also) easy to do using Lisp or Python???

This can be done with Python:

N = 10
a = 1
b = 1
print(str(a) + "/" + str(b))
for n in range(N):
temp = a + 2 * b
b = a + b
a = temp
print(str(a) + "/" + str(b))

Let's play golf!

There's no need for temp:

b = b + a
a = 2 * b - a

Pre:
$ perl -e '$a=1;$b=1;$n=0;while($n++<10){print("$a/$b\n");$t=$a+2*$b;$b=$a+$b;$a=$t;}'
1/1
3/2
7/5
17/12
41/29
99/70
239/169
577/408
1393/985
3363/2378

Post:
$ perl -e '$a=1;$b=1;$n=0;while($n++<10){print("$a/$b\n");$b+=$a;$a=2*$b-$a;}' 1/1
3/2
7/5
17/12
41/29
99/70
239/169
577/408
1393/985
3363/2378

Phil
--
We are no longer hunters and nomads. No longer awed and frightened, as we have gained some understanding of the world in which we live. As such, we can cast aside childish remnants from the dawn of our civilization.
-- NotSanguine on SoylentNews, after Eugen Weber in /The Western Tradition/

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