## For what values of x the expression takes minimal values \$ sum_{i = 1}^{12} |x – i| \$

For what values of $$x$$ does the expression takes minimal values
$$sum_{i = 1}^{12} |x – i| .$$

How do you solve this problem?

## software update – How big should a macOS Big Sur 11.4 Download be from Big Sur 11.2?

software update – How big should a macOS Big Sur 11.4 Download be from Big Sur 11.2? – Ask Different

## SPFX 1.12 gulp serve-deprecated alternative

Recenlty i decided to update the spfx libs of my webparts project to the v1.12.1
I have followed the steps indicated in the official Microsoft documentation:
https://docs.microsoft.com/es-es/sharepoint/dev/spfx/release-1.12.1

Now I realized that gulp serve has been replaced with: ‘gulp serve-deprecated’. So Ive gone to the official documentation and I have read this:

Local workbench is deprecated – This is the last release that will
include support for the local workbench. – https://docs.microsoft.com/en-us/sharepoint/dev/spfx/release-1.12.1#deprecations-and-removed-items-in-this-release

So my question now is: how is supposed to work with webparts development now or in the future?
If i cant test my webparts with gulp serve how is supposed i can to test them?

Thank u all.

## sequences and series – If 1 + 2 + 3 + 4 … = – 1/12 calculate (1.001 + 2.001 + 3.001 + 4.001 …) – (1 + 2 + 3 + 4 …) =?

This question makes little sense.

In part 1), the “If” clause “If 1 + 2 + 3 + 4 … = – 1/12” is false. So part 1) is not actually asking anything.

In part 2), I don’t believe the word “supersummation” has a meaning in mathematics, and in any case Z has already been defined so it is unclear how anything could “obtain” Z as anything other than it already is. Which is undefined, since the difference of two divergent series is not defined.

The false claim that 1 + 2 + 3 + 4 … = – 1/12 arises from the initial definition of the Riemann zeta function ๐(s) as the infinite series ๐(s) = 1/1s + 1/2s + 1/3s + … that converges only for Re(s) > 1. Analytic continuation is then used to define ๐(s) for all complex s โ  1 as a meromorphic function which happens to satisfy ๐(-1) = -1/12. By plugging -1 into the initial series definition of zeta โ where the series is not valid โ one gets the false claim that 1 + 2 + 3 + 4 … = – 1/12.

## installation – Sources disagree on hashes for supposely identical version when trying to install CUDA 11.2 toolkit

I am new to GPU computing and I am trying to install CUDA on my linux 20.04 focal with kernel 5.4.0 workstation that is equipped with NVIDIA quadro p4000 GPU.

I have followed the instructions in this link:

https://docs.nvidia.com/cuda/cuda-installation-guide-linux/index.html#post-installation-actions

and when I did step 3.8 (sudo apt-get install cuda) I get this message:

Sources disagree on hashes for supposely identical version ‘11.2.2-1’ of ‘cuda-command-line-tools-11-2:amd64’
and when I tried nvcc –version after the installation finished with the above message and a few other similar messages I got nothing which means it didn’t install.

Actually I am trying to do the installation on a remote machine so I was not able to do any restarts during the installation if that is actually needed, because I don’t have access to the physical machine.

## Mercurial not working on Mac OS 11.2

I am trying to compile Firefox on Mac but Mercurial is not working for me on Mac OS 11.2. I have Xcode and python3 installed and I have done `echo "export PATH="\$(python3 -m site --user-base)/bin:\$PATH"" >> ~/.zshenv` and `python3 -m pip install --user mercurial` but when I just says `zsh: command not found: hg `. I am not sure what to do. Thank you in advance

## networking – getnameinfo 5 second stall for link local IPv6 addresses on macOS 11.2

Resolving a link local IPv6 address, e.g. “fe80:0:0:0:1df5:94d:4c6c:6b43” using the `getnameinfo` function on macOS 11.2 (Big Sur) results in a 5 second wait.

I used this C code to check:

``````typedef union {

int main(int argc, char *argv()) {

sa.sa6.sin6_family = AF_INET6;

char host(NI_MAXHOST + 1);

int code = getnameinfo(&sa.sa, sizeof(struct sockaddr_in6), host, sizeof(host), NULL, 0, NI_NAMEREQD);

printf("code: %d, error: %s, host: %sn", code, gai_strerror(code), host);

return 0;
}
``````

Running this returns `code: 8, error: nodename nor servname provided, or not known, host: `

The problem is however that there’s a 5 second stall. I reproduced this on 3 different macOS machines.

If I look at the source of `getnameinfo`, e.g. via https://opensource.apple.com/source/lukemftp/lukemftp-15/tnftp/libnetbsd/getnameinfo.c.auto.html it looks like it should instantly return via these two fragments:

``````if (IN6_IS_ADDR_LINKLOCAL(&sin6->sin6_addr)) {
flags |= NI_NUMERICHOST;
}
``````

and

``````/* NUMERICHOST and NAMEREQD conflicts with each other */
if (flags & NI_NAMEREQD)
return ENI_NOHOSTNAME;
``````

Now `getnameinfo.c,v 1.6` may not be the latest one as used in macOS 11.2/Darwin 20.3.0, so I’m wondering:

• Does anyone know where the 5 second wait comes from?
• How can I prevent this wait? I tried adding this IP in various forms to `/etc/hosts` but `getnameinfo` is not picking it up from there.

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## Algorithm – typing one word per line (K&R 1-12 practice) attempt

I am currently trying to learn C from the K&R book, read through the exercises and try. I came across Exercise 1-12 yesterday and was a bit baffled, but managed to finish it. I was wondering if anyone would help me improve it and showed me how to test something like that.

``````#include

#define TRUE 1
#define FALSE 0

int main(){

int c, previous_space;

previous_space = FALSE;
while ( (c = getchar()) != EOF ){
if ( c == ' ' || c == 'n' || c == 't' ){
if ( previous_space == FALSE ){
putchar('n');
}
previous_space = TRUE;
}
else{
putchar(c);
previous_space = FALSE;
}
}
return 0;
}
``````

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