Tough math questions for Black Friday
pic.twitter.com/oNWnDg3Jka – at Crate & Barrel
Neurodiverse trans geek girl. Yosys, RISC-V, SAT/SMT.
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Tough math questions for Black Friday
pic.twitter.com/oNWnDg3Jka – at Crate & Barrel
This
is a very simple math question. If it is the limit of something you have to take the derivative of both sides (L'Hopital), otherwise it's undefined. Want a tough math question? Try this
.pic.twitter.com/ESzVa4QdBz
Approach;
=
=
impossible,since 3/2≠4.
Is
=
≠
(or permutation) possible?
:=
+
=
+
4=
/(
+
)+
/(
+
)+
/(
+
)
=
/(2
+
)+
/(2
+
)+½+
/(2
)
½+
/(2
) must be integer ⇾
=1
4=2/(2+
)+½+½
8+4
= 2+½(2+
)+½
(2+
)
=2+1+4
=3
so
≠
≠
≠
And so? I don't see how it follows that there is no solution.
Just a start; should have marked that more clearly. I don't have a proof of nonexistence (or existence) yet.
w.l.o.g.
<
<
:=
+
:=
+
4 =
/(2
+
+
) + (
+
)/(2
+
) + (
+
)/(2
+
)
=
/(2
+
+
) +
/(2
+
) +
/(2
+
) +
/(2
+
) +
/(2
+
)
=
(1/(2
+
+
) + 1/(2
+
) + 1/(2
+
)) +
/(2
+
) +
/(2
+
)
> 3
/2
+(
+
)/2
8
> 3
+
+
5
>
+
=
-
+
-
=
+
-2
3
>
+
>2
+1 (
ec
use
<
<
)
3
-
>
>2
+1-
Which restricts pineapples (the largest of the three integers) to a very specific integer range one
wide. With that,(and more time at hand),we'd find bounds for the original term.
How much is one apple wide? Any integer multiple of a solution is also a solution, so I don't see this working.
3
-
>
is not true
>2
+1-
is true
Smallest Solution:
= 4373612677928697257861252602371390152816537558161613618621437993378423467772036
= 36875131794129999827197811565225474825492979968971970996283137471637224634055579
= 154476802108746166441951315019919837485664325669565431700026634898253202035277999
Very interesting. By the way, the gratest common divisor of any two of these numbers must be one. That's what I was able to prove yesterday.
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