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To do it well, I need YOUR submissions! If you've read, written or created something (in the last month or so) on a mathsy theme, find the link to the submission form here: aperiodical.com/carnival-of-...
#MathsToday
To do it well, I need YOUR submissions! If you've read, written or created something (in the last month or so) on a mathsy theme, find the link to the submission form here: aperiodical.com/carnival-of-...
#MathsToday
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#DataScience #SignalProcessing
10/10/25
10 = 5*2
25 = 5^2
and if you want to make one of those stupid viral math problems because of ambiguous notation, then resolve this:
5*2/5*2/5^2 = ? Is it 1/25 or 4?
also, 1010 as a base 2 number is 8 + 2 = 10 :)
10/10/25
10 = 5*2
25 = 5^2
and if you want to make one of those stupid viral math problems because of ambiguous notation, then resolve this:
5*2/5*2/5^2 = ? Is it 1/25 or 4?
also, 1010 as a base 2 number is 8 + 2 = 10 :)
13^2 + 84^2 = 85^2
and knowing that 5 * 17 = 85
we also have (5*17)^2 + (12*17)^2 = (13*17)^2 by scaling (5, 12, 13)
so, then we have 13^2 + 84^2 + 204^2 = 221^2
#math
7^2 + 24^2 = 25^2
How to generate a Pythagorean Triple when the small side is a prime number:
p^2 + ((p^2 - 1)/2)^2 = ((p^2 + 1)/2)^2
so the triple is (p, (p^2 - 1)/2, (p^2 + 1)/2)
5^2 + 12^2 = 13^2 (notice 12 + 13 = 5^2)
11^2 + 60^2 = 61^2 (60 + 61 = 11^2)
#math
13^2 + 84^2 = 85^2
and knowing that 5 * 17 = 85
we also have (5*17)^2 + (12*17)^2 = (13*17)^2 by scaling (5, 12, 13)
so, then we have 13^2 + 84^2 + 204^2 = 221^2
#math
7^2 + 24^2 = 25^2
How to generate a Pythagorean Triple when the small side is a prime number:
p^2 + ((p^2 - 1)/2)^2 = ((p^2 + 1)/2)^2
so the triple is (p, (p^2 - 1)/2, (p^2 + 1)/2)
5^2 + 12^2 = 13^2 (notice 12 + 13 = 5^2)
11^2 + 60^2 = 61^2 (60 + 61 = 11^2)
#math
7^2 + 24^2 = 25^2
How to generate a Pythagorean Triple when the small side is a prime number:
p^2 + ((p^2 - 1)/2)^2 = ((p^2 + 1)/2)^2
so the triple is (p, (p^2 - 1)/2, (p^2 + 1)/2)
5^2 + 12^2 = 13^2 (notice 12 + 13 = 5^2)
11^2 + 60^2 = 61^2 (60 + 61 = 11^2)
#math
(a + b + c + d)^3 = abcd where the right hand side is a concatenation of the four numbers a, b, c, d.
wrote some code and this one tickled me
188^3
= (6 + 64 + 46 + 72)^3
= (66 + 4 + 46 + 72)^3
= (66 + 44 + 6 + 72)^3
= 6644672
#math
(a + b + c + d)^3 = abcd where the right hand side is a concatenation of the four numbers a, b, c, d.
wrote some code and this one tickled me
188^3
= (6 + 64 + 46 + 72)^3
= (66 + 4 + 46 + 72)^3
= (66 + 44 + 6 + 72)^3
= 6644672
#math
56/7 = 8
and that gives, in order, 5678
now the hunt for any other such examples with a single arithmetic operation and integers [of course, 56 = 7*8 also works].
56/7 = 8
and that gives, in order, 5678
now the hunt for any other such examples with a single arithmetic operation and integers [of course, 56 = 7*8 also works].
[ok, yes, Pope Leo XIV might have done a few things in the theological space, but, he holds a degree in math, too!]
[ok, yes, Pope Leo XIV might have done a few things in the theological space, but, he holds a degree in math, too!]