Giftlite

0	j	1
φ	5	e
2	π	3

Giftlite

I expect to pass through this world but once; any good thing therefore that I can do, or any kindness that I can show to any fellow creature, let me do it now; let me not defer or neglect it, for I shall not pass this way again.

Etienne De Grellet

It's my delight to share with you my discovery of a new type of 4x4 magic squares in which the numbers in the first row are concatenated to form digits of an identifiable number. If the four numbers in the first row don't add up to 34, we cannot construct a 'normal' magic square. If you see an error, please let me know.

3.	14	15	9
1	17	11	12
24	8	5	4
13	2	10	16
3.	1	41	5
21	16	3	10
15	31	0	4
11	2	6	31
3.	14	1	59
37	34	2	4
30	9	32	6
7	20	42	8
3.	14	15	92
55	51	12	6
53	7	54	10
13	52	43	16
12	98	88	16
46	42	52	74
66	56	64	28
90	18	10	96

{\frac {\sqrt {2}}{2}}\cdot {\frac {\sqrt {2+{\sqrt {2}}}}{2}}\cdot {\frac {\sqrt {2+{\sqrt {2+{\sqrt {2}}}}}}{2}}\cdots ={\frac {2}{\pi }}

(Viète 1592)

{\frac {2}{1}}\cdot {\frac {2}{3}}\cdot {\frac {4}{3}}\cdot {\frac {4}{5}}\cdot {\frac {6}{5}}\cdot {\frac {6}{7}}\cdot {\frac {8}{7}}\cdot {\frac {8}{9}}\cdots ={\frac {\pi }{2}}

(Wallis 1655)

\lim _{n\to \infty }\left({\frac {1}{1^{2}}}+{\frac {1}{2^{2}}}+{\frac {1}{3^{2}}}+\cdots +{\frac {1}{n^{2}}}\right)={\frac {\pi ^{2}}{6}}

(Euler 1735)

{\frac {2{\sqrt {2}}}{9801}}\sum _{n=0}^{\infty }{\frac {(1103+26390n)\cdot (4n)!}{396^{4n}\cdot (n!)^{4}}}={\frac {1}{\pi }}

(Ramanujan 1914)

\prod _{j=1}^{4}\prod _{k=1}^{4}\left(4\cos ^{2}{\frac {\pi j}{5}}+4\cos ^{2}{\frac {\pi k}{5}}\right)^{\frac {1}{4}}=36

(Temperley, Fisher, and Kasteleyn 1961)

Veritas vos liberabit

It's my delight to share with you the following lists of Nobel laureates and their political concerns. If you see an error, please let me know.

List	C+M+P	E+L+P	Total
List of Nobel laureates who endorse Barack Obama	76	9	85
List of Nobel laureates who support health care reform in the United States	1	5	6

Note: In the 57th quadrennial presidential election, the total (C+M+P only) is 68.^[1]

Lists of mathematicians

Interesting articles

More interesting articles

References

^ [https://www.documentcloud.org/documents/472355-an-open-letter-to-the-american-people.html An Open Letter to the American People]

[1] [https://www.documentcloud.org/documents/472355-an-open-letter-to-the-american-people.html An Open Letter to the American People]

[1]

3.	14	15	9
1	17	11	12
24	8	5	4
13	2	10	16
3.	1	41	5
21	16	3	10
15	31	0	4
11	2	6	31
3.	14	1	59
37	34	2	4
30	9	32	6
7	20	42	8
3.	14	15	92
55	51	12	6
53	7	54	10
13	52	43	16
12	98	88	16
46	42	52	74
66	56	64	28
90	18	10	96

3.	14	15	9
1	17	11	12
24	8	5	4
13	2	10	16
3.	1	41	5
21	16	3	10
15	31	0	4
11	2	6	31
3.	14	1	59
37	34	2	4
30	9	32	6
7	20	42	8
3.	14	15	92
55	51	12	6
53	7	54	10
13	52	43	16
12	98	88	16
46	42	52	74
66	56	64	28
90	18	10	96

3.	14	15	9
1	17	11	12
24	8	5	4
13	2	10	16
3.	1	41	5
21	16	3	10
15	31	0	4
11	2	6	31
3.	14	1	59
37	34	2	4
30	9	32	6
7	20	42	8
3.	14	15	92
55	51	12	6
53	7	54	10
13	52	43	16
12	98	88	16
46	42	52	74
66	56	64	28
90	18	10	96