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domain name system – Can the IP address of a root nameserver change?

Quotation from the IANA page on root servers:

Operators who manage a DNS recursive resolver typically need to
configure a “root hints file”. This file contains the names and IP
addresses of the root servers, so the software can bootstrap the DNS
resolution process. For many pieces of software, this list comes built
into the software
.

(my emphasis)

Therefore, if root servers’ IP addresses changed, software everywhere in the world would have to change, too. To me, this is enough evidence to conclude that these addresses will never change.

EDIT: The first IP address is hardwired into RFC1400. From the RFC:

After the transition, the host.txt file will be available only from
nic.ddn.mil and hosts.txt will include ONLY MILNET HOSTS. On April
1, 1993, a new root DNS server will be placed in service. It will be
available at ns.internic.net ( 198.41.0.4 ).

This indicates that this address will not change as long as this RFC is in effect, but in theory, addresses of other root servers could change. I guess that DNS software should be designed so that it updates the root hints file from ns.internic.net.

ag.algebraic geometry – How do I take the n-th root of a linear operator?

Suppose I have a vector space $V/overline{mathbb Q}$ over some algebraically closed field and a semi-simple operator $T$ on it with eigenvalues $alpha_1,dots,alpha_r$ such that $|alpha_i| = 1$ under every complex embedding.

Is there a nice (functorial?) way to define a vector space $V^{1/n}$ of dimension $n$ with an operator $T^{1/n}$ with eigenvalues $alpha_1^{1/n},dots,alpha_r^{1/n}$ (where we take all possible roots)?

(Motivation: I came across Abelian varieties over finite fields where the corresponding Frobenius operators have the above relation.)

centos – Operación no permitida como usuario Root

Tengo un disco particionado /dev/sda2 (es un disco secundario con datos de windows)
El sistema operativo esta en otro disco con Centos 8

En el archivo fstab, tengo lo siguiente para mapear dicha particion con en una carpeta en el escritorio del usuario del sistema

/dev/disk/by-uuid/8C36B88236B86F38 /home/user01/Escritorio/Datos auto nosuid,nodev,nofail,x-gvfs-show 0 0

La particion, aparece correctamente en el escritorio (se mapea correctamente), pero con el usuario “User01” no puedo escribir en dicha particion.

intente cambiar el usuario de la carpeta /home/user01/Escritorio/Datos desde el usuario root

(root@fco Escritorio)# chown -R user01:user01 Datos

pero me sale el mensaje de error

chown: cambiando el propietario de ‘Desa’: Operación no permitida

la carpeta desa esta vacia, y sigue teniendo el propietrario root,

ls -ltra
drwxrwxrwx 1 root root 8192 ene 9 21:01 Datos

en algunos lugares he leido que puede ser que la particion este montada como solo de lectura, pero en el fstab no aparece una indicacion de esto.

el proceso de montaje, lo hice a traves de la utilidad de administracion de discos de centos 8 (grafico) y tampoco tiene ninguna opcion de montar como solo lectura.

Alguna idea de porque no se pueda cambiar el propietario a la carpeta?

Root of symbolic high-degree polynomial

I have a symbolic equation EQ, expressed in terms of symbolic variables d, f, t. The equation contains a number of 6th degree polynomial roots (with a symbolic coefficient t). The equation is quite long and it starts like this:

EQ = ( d f* (8root(z^6 – 12tz^5 + (243t^2z^4)/8 + (399t^3z^3)/4 – (837t^4z^2)/2 – (639t^5z)/4 + (9945t^6)/8, z, 1)^5 + 155t^2root(z^6 – 12tz^5 + (243t^2z^4)/8 + (399t^3z^3)/4 – (837t^4z^2)/2 – (639t^5z)/4 + (9945t^6)/8, z, 1)^3 + …. and so on

Matlab is unable to solve it with the solve() function. My initial thought was that the explicit solution of a polynomial with arbitrary coefficients does not exist (Abel-Ruffini theorem), but I evaluated the expression for a set of numeric variables and then by running regression and guessing the form of the solution I was able to find the exact solution (expressed with symbolic variables d, f, t):

EQ= RegressionConstant * t * d * t

This puzzles me. If the exact solution does exist, why would Matlab not give it to me straight away? What am I missing?

Thanks for any suggestions

partitioning – Should I increase the size of my root partition?

My root partition is 25GB and I was just notified that I have almost used it all.

>df -h
df: /run/user/1000/doc: Operation not permitted
Filesystem      Size  Used Avail Use% Mounted on
tmpfs           791M  2.4M  789M   1% /run
/dev/sda5        23G   20G  1.8G  92% /
tmpfs           3.9G  7.0M  3.9G   1% /dev/shm
tmpfs           5.0M  4.0K  5.0M   1% /run/lock
tmpfs           4.0M     0  4.0M   0% /sys/fs/cgroup
/dev/sda2        95M   33M   63M  35% /boot/efi
/dev/sda7       117G   14G   98G  13% /home
/dev/sdb2       931G   19G  912G   3% /data
tmpfs           791M  188K  791M   1% /run/user/1000

As you can see I have used 92% of the partition, and this is after having already ran sudo apt-get clean. I see that so many people recommend a root partition size of 25GB, so does this mean I have some sort of problem? Or should I increase the size of my root partition somehow?

Side note, if it makes any difference, it seems that a big chunk of the space is taken up by the /usr (13.0 GB), /var (6.3 GB), and /home (14.3 GB? (I don’t know how this is possible since the root partition is only 25GB to begin with. Perhaps this /home folder is just a link to the actual /home directory?)) directories.

xubuntu – file name 0 in root folder

Maybe my question will seem dump, but I’ll better ask it to stay calm after :]
I use xubuntu for daily work. And I had a file with nam 0 in my root folder. It was empty if opened with mousepad.
I’ve deleted it in a hurry while making some customizations, and now do not know if it influence some processes in the system.
The system goes well even after reboot, but nevertheless maybe someone know what it was?
Have no result after using google.

Thanks in advance

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