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Forum: Languages -- Ancient & Modern, Human & Machine 2022-02-21, 09:31
Replies: 69
Views: 29,770
Posted By Nick
Sic frangit crisculum?

Sic frangit crisculum?
Forum: Lounge 2021-12-07, 08:40
Replies: 1,928
RIP
Views: 217,682
Posted By Nick
An important one - thanks!

An important one - thanks!
Forum: Miscellaneous Math 2021-12-07, 08:24
Replies: 52
Views: 3,999
Posted By Nick
Thanks (for anyone else interested, the correct...

Thanks (for anyone else interested, the correct link is: https://lonati.di.unimi.it/lavori/sicomp.pdf ).
Forum: Miscellaneous Math 2021-12-06, 23:05
Replies: 52
Views: 3,999
Posted By Nick
The context free languages are precisely those...

The context free languages are precisely those for which there exists a non-deterministic pushdown automaton.
Forum: Homework Help 2021-11-20, 11:42
Replies: 29
Views: 8,262
Posted By Nick
The square of every odd number is congruent to 1...

The square of every odd number is congruent to 1 (mod 8).
Forum: Math 2021-11-16, 09:17
Replies: 60
Views: 8,006
Posted By Nick
https://www.routledge.com/Algebraic-Number-Theory-...

https://www.routledge.com/Algebraic-Number-Theory-and-Fermats-Last-Theorem/Stewart-Tall/p/book/9780367658717
Forum: Languages -- Ancient & Modern, Human & Machine 2021-11-09, 14:21
Replies: 26
Views: 13,705
Posted By Nick
Why Flemish people adapt their Dutch to Dutch...

Why Flemish people adapt their Dutch to Dutch people and not other way around...
Forum: Lounge 2021-11-08, 21:22
Replies: 35
Views: 2,912
Posted By Nick
You said we could ask you for it 11 years ago,...

You said we could ask you for it 11 years ago, but that was in the "What is offensive language?" thread, so nobody dared...
https://www.mersenneforum.org/showpost.php?p=241676&postcount=130
Forum: Probability & Probabilistic Number Theory 2021-11-04, 23:11
Replies: 18
Views: 7,019
Posted By Nick
This is not my area (as you know!) but I would...

This is not my area (as you know!) but I would say broadly speaking that you have 2 paths forward: either a mathematical proof that your method performs better or, alternatively, using formal...
Forum: Astronomy 2021-10-31, 18:27
Replies: 18
Views: 1,983
Posted By Nick
You'll get a much better answer shortly from...

You'll get a much better answer shortly from xilman, but in the mean time it may be worth reading this (https://skyandtelescope.org/astronomy-equipment/how-to-choose-a-telescope/)
Forum: Puzzles 2021-10-29, 21:06
Replies: 4
Views: 1,149
Posted By Nick
It's a pity they didn't mention the continued...

It's a pity they didn't mention the continued fraction for e (http://oeis.org/A003417)
Forum: Languages -- Ancient & Modern, Human & Machine 2021-10-24, 08:05
Replies: 26
Views: 13,705
Posted By Nick
Certainly an interesting link! If you have...

Certainly an interesting link!
If you have university access to online journals, the Daniel Levin article is also worth reading:
https://www.jstor.org/stable/10.5325/steinbeckreview.12.2.0190
Forum: Number Theory Discussion Group 2021-10-24, 07:45
Replies: 4
Views: 1,699
Posted By Nick
Over any commutative ring R, the 2x2 matrices...

Over any commutative ring R, the 2x2 matrices with determinant 1 form a subgroup \(SL_2(R)\)
of the unit group of the ring of all 2x2 matrices.
The Pauli matrices have determinant -1, however.
...
Forum: Software 2021-10-23, 07:25
Replies: 32
Views: 3,135
Posted By Nick
You may also like this thread...

You may also like this thread (https://www.mersenneforum.org/showthread.php?p=533436)
Forum: Lounge 2021-10-22, 11:20
Replies: 35
Views: 2,912
Posted By Nick
The Amorphophallus decus-silvae in our Hortus...

The Amorphophallus decus-silvae in our Hortus Botanicus in Leiden is in bloom!
It is thought to be only the 3rd time that this has ever happened in Europe.
Dutch press release:...
Forum: Lounge 2021-10-22, 07:33
Replies: 1,928
RIP
Views: 217,682
Posted By Nick
Bernard Haitink...

Bernard Haitink (https://www.bbc.com/news/entertainment-arts-59002746),the world-famous Dutch conductor.
Forum: Lounge 2021-10-21, 16:34
Replies: 4,457
Views: 412,939
Posted By Nick
Queen Elizabeth cancels engagements on medical...

Queen Elizabeth cancels engagements on medical advice ... and Barbados moves swiftly to declard a Republic.
https://www.bbc.com/news/uk-58979992
...
Forum: Science & Technology 2021-10-20, 08:41
Replies: 522
Views: 99,431
Posted By Nick
Are there still people there who can check on...

Are there still people there who can check on your observatory for you? It must be very worrying.
Forum: Miscellaneous Math 2021-10-18, 14:23
Replies: 26
Views: 2,179
Posted By Nick
Yes, a typo - thanks!

Yes, a typo - thanks!
Forum: Miscellaneous Math 2021-10-18, 13:53
Replies: 26
Views: 2,179
Posted By Nick
If \(M_p=2^p-1\) is prime then, for all integers...

If \(M_p=2^p-1\) is prime then, for all integers n not divisible by \(M_p\), \(n^{2^p-2}\equiv 1\pmod{M_p}\) by Fermat's little theorem.
It is standard to use modulo arithmetic during the...
Forum: MattcAnderson 2021-10-18, 09:55
Replies: 24
Views: 1,987
Posted By Nick
The mathematical background is that you can...

The mathematical background is that you can construct the regular polygon with n sides using ruler and compass
if and only if ϕ(n) is a power of 2 (where ϕ is Euler's function).
And that is true...
Forum: Lounge 2021-10-18, 07:36
Replies: 1,172
Views: 115,538
Posted By Nick
We followed their attempt 6 years ago, too! ...

We followed their attempt 6 years ago, too!
https://www.mersenneforum.org/showpost.php?p=412743&postcount=193
Forum: Languages -- Ancient & Modern, Human & Machine 2021-10-14, 22:09
Replies: 26
Views: 13,705
Posted By Nick
To get the best possible understanding, you have...

To get the best possible understanding, you have to study the original languages and the culture of the people who spoke them, of course.
The big problem with a translation into any modern...
Forum: Soap Box 2021-10-14, 19:46
Replies: 425
Views: 67,066
Posted By Nick
Presumably because you read it earlier in this...

Presumably because you read it earlier in this thread!
https://www.mersenneforum.org/showpost.php?p=579470&postcount=368
Forum: Homework Help 2021-10-14, 08:37
Replies: 14
Views: 2,167
Posted By Nick
Have you read the Lenstra book on this? ...

Have you read the Lenstra book on this?
https://link.springer.com/book/10.1007/BFb0091534
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