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Forum: Other Mathematical Topics 2021-09-09, 09:50
Replies: 31
Views: 13,832
Posted By Nick
Apologies for the late reaction: we have been...

Apologies for the late reaction: we have been away on holiday and I have only now seen your post.

University-level mathematics for mathematicians differs from mathematics for engineers or natural...
Forum: y-cruncher 2021-08-20, 07:07
Replies: 68
Views: 47,613
Posted By Nick
https://www.ams.org/publicoutreach/math-history/ha...

https://www.ams.org/publicoutreach/math-history/hap-6-pi.pdf
Forum: Linux 2021-08-17, 13:17
Replies: 14
Views: 739
Posted By Nick
Yes, I realize that is used but it is overkill. ...

Yes, I realize that is used but it is overkill.
You might as well use "sudo sudo su".
Forum: Linux 2021-08-17, 10:53
Replies: 14
Views: 739
Posted By Nick
I dislike Ubuntu's policy of obstructing access...

I dislike Ubuntu's policy of obstructing access to the hash prompt.
One main reason for logging in as root is to fix an urgent problem.
The more complicated the login procedure is, the bigger the...
Forum: Soap Box 2021-08-15, 11:56
Replies: 720
Views: 56,168
Posted By Nick
There are reports that Kabul University lecturers...

There are reports that Kabul University lecturers are having to
say goodbye to their female students. It is very sad.
Forum: Hardware 2021-08-11, 07:02
Replies: 38
Views: 914
Posted By Nick
First year mathematics students in Leiden get...

First year mathematics students in Leiden get taught Linear Algebra and C++ (among other things).
One way we motivate them to learn \(\LaTeX\) is to point out that they can then write programs that...
Forum: Linux 2021-08-06, 11:31
Replies: 8
Views: 702
Posted By Nick
Also consider a USB cellular modem as an...

Also consider a USB cellular modem as an alternative.
Forum: Other Mathematical Topics 2021-08-04, 09:54
Replies: 31
Views: 13,832
Posted By Nick
Well you have a very individual perspective so...

Well you have a very individual perspective so any suggestions are bound to be a bit hit-and-miss!

Mathematically, quartic polynomials tend to arise from 4-dimensional spaces,
for example as the...
Forum: Other Mathematical Topics 2021-08-02, 09:39
Replies: 31
Views: 13,832
Posted By Nick
The short answer is that if you are working with...

The short answer is that if you are working with a single polynomial equation of degree
at most 4 over the complex numbers, then you can choose any values you like for
all variables except one, and...
Forum: Soap Box 2021-07-29, 06:54
Replies: 29
Views: 3,399
Posted By Nick
The container ship that blocked the Suez canal...

The container ship that blocked the Suez canal for a while has finally arrived
in Rotterdam with about 14000 containers, containing everything from
school diaries to motorbikes (1000 of them).
Forum: Lounge 2021-07-28, 18:04
Replies: 1,014
Views: 96,341
Posted By Nick
From next year, the Dutch regulator will require...

From next year, the Dutch regulator will require all Internet Service Providers to allow their customers
to use their own modem/router instead of forcing them to take one chosen & administered by...
Forum: Other Mathematical Topics 2021-07-26, 08:29
Replies: 31
Views: 13,832
Posted By Nick
For anyone looking for a fun bit of summer...

For anyone looking for a fun bit of summer reading:
The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg...
Forum: Hobbies 2021-07-25, 08:16
Replies: 24
Views: 840
Posted By Nick
I once came across a Calculus textbook marked...

I once came across a Calculus textbook marked "Copyright year N" on sale in May of year N-1.
I wondered if students could simply copy it for the next 7 months.
Forum: LaurV 2021-07-22, 17:20
Replies: 10
Views: 600
Posted By Nick
The first version was made while they were still...

The first version was made while they were still at Stanford and the algorithm is therefore public.
Then they turned it into an American corporation...
Forum: Soap Box 2021-07-21, 20:09
Replies: 399
Views: 54,718
Posted By Nick
It could just be a coincidence (there will be...

It could just be a coincidence (there will be lots of times whten this
didn't happen - you don't tend to notice those).
If you are genuinely worried, I would suggest monitoring things like
your...
Forum: Number Theory Discussion Group 2021-07-10, 08:19
Replies: 9
Views: 804
Posted By Nick
We have \(2ax+b-y\equiv 0\pmod{4an}\) and...

We have \(2ax+b-y\equiv 0\pmod{4an}\) and \(\gcd(2a,4an)=2a\neq 1\).
If 2a does not divide b-y then there is no solution.
If instead b-y=2at for some integer t then \(x\equiv -t\pmod{2n}\).
Forum: Number Theory Discussion Group 2021-07-08, 21:57
Replies: 9
Views: 804
Posted By Nick
Yes (assuming you mean discr=(b*)²-4a*c* mod p). ...

Yes (assuming you mean discr=(b*)²-4a*c* mod p).
That is what we mean by Propostion 22 here (https://www.mersenneforum.org/showthread.php?t=21677)
Forum: Number Theory Discussion Group 2021-07-07, 09:20
Replies: 9
Views: 804
Posted By Nick
See section 2.3.2 in the 2nd edition of the book...

See section 2.3.2 in the 2nd edition of the book by Crandall and Pomerance:
"Prime Numbers , a computational perspective" (https://www.springer.com/gp/book/9780387252827)
Forum: Number Theory Discussion Group 2021-07-06, 06:49
Replies: 9
Views: 804
Posted By Nick
Yes, in this subforum already! ...

Yes, in this subforum already!
https://www.mersenneforum.org/showthread.php?t=22058
Forum: Lounge 2021-07-02, 18:17
Replies: 1,014
Views: 96,341
Posted By Nick
Great! The easy one to forget (for people from...

Great! The easy one to forget (for people from the UK) is health insurance,
but I assume you have that sorted too.
Forum: Other Mathematical Topics 2021-06-23, 21:13
Replies: 14
Views: 2,048
Posted By Nick
That's called a confetto!

That's called a confetto!
Forum: Lounge 2021-06-18, 16:17
Replies: 95
Poll: GIMPS shirts
Views: 26,479
Posted By Nick
"Taximeter cabriolet", which we shorten to "taxi"...

"Taximeter cabriolet", which we shorten to "taxi" and you shorten to "cab".
Forum: Languages -- Ancient & Modern, Human & Machine 2021-06-12, 11:57
Replies: 17
Views: 8,555
Posted By Nick
Silbo Gomero...

Silbo Gomero (https://en.wikipedia.org/wiki/Silbo_Gomero) is a whistled language used in the Canary Islands (specifically on La Gomera) to communicate over long distances across deep valleys or...
Forum: Lounge 2021-06-11, 18:01
Replies: 13
Views: 672
Posted By Nick
If I remember rightly, the format was simple...

If I remember rightly, the format was simple enough to reverse engineer with ease up to dBase III, but got somewhat messier after that.
The index files were separate, however, so using a hexdump...
Forum: Soap Box 2021-06-11, 08:13
Replies: 115
Views: 13,960
Posted By Nick
Lake Mead: Largest US reservoir dips to record...

Lake Mead: Largest US reservoir dips to record low
https://www.bbc.com/news/world-us-canada-57436860
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