EllepticPi argumet is complex. so can not plot it. How to handle this problem?

inttau[r_]=-(1/Sqrt[0.0345106153943703 - ((37.3042 - r) (-25.578 + r) (62.8822 +   r))/(3000 r)]) 

This is my function of r, now I integrated it w r t r

tauanalytical[r_] = Integrate[inttau[r], r] 

This is what I got after integration, I got this result.

-((2.3094 Sqrt[1. + 62.1447/r] (-31.0723 + r) EllipticPi[3.,ArcSin[0.57735 Sqrt[1. + 62.1447/r]], 1.])/Sqrt[-0.965489 + 20./r + 0.000333333 r^2]) 

later I tried to find the numerical value of;

tauanalytical[30] // N  

I got this, no the exact number , which I was expecting

-126.491 EllipticPi[3., -1.5708 + 0.153761 I, 1.] 

Here the second argument of Ellepticpi comes out to be imaginary , it should be real . Please provide necessary assistance.

Will this have any implication on SEO?

So I have a website where I post affiliate product reviews etc. Let’s say it’s xyz.com. On this site, I post international product reviews which have worldwide shipping. Recently I bought xyz.in and I am planning to put only product reviews that ship to India only as .in is for India. Also, I will select the target country in the search console as India for this website. Now my question is since both these domains have a common name xyz, will they affect each other’s SEO?

How does Mathematica obtain this result?

FullSimplify[  Sqrt[2 \[Pi]] InverseFourierTransform[1/(x^2 - a^2), x, p],   Element[a, Reals]] 

Gives the output

-((\[Pi] Sign[p] Sin[a p])/a) 

But

$ \int_{-\infty }^{\infty } \frac{e^{-i k x}}{x^2-a^2} \, dx$ is not a defined integration. Mathematica also returns undefined as answer if you compute it.

So, I am trying to understand how does Mathematica calculates that Fourier transform of the non-integrable function.

Not able to access WP Admin, it says “Sorry, you are not allowed to access this page.”

All of a sudden we are not able to get to the admin panel of the website. Once I log into /wp-login.php it redirects me to the homepage or /wp-admin (depending on whether I visited wp-admin in logged out state or not)

WordPress version: 5.6.2

When it does redirect to /wp-admin I see:

"Sorry, you are not allowed to access this page."

My first guess was that someone (maybe another user with administrator access) changed the roles. That wasn’t the case, I confirmed by looking at the database tables and the users had the wp_capabilities that corresponded to being an admin.

Then I tried a bunch of other stuffs and none worked:

  1. Created a new user using wp_create_user, added administrator capabilities, logged into that account from a private browsing window. Same.

  2. Went to the WordPress git repo searched for where "Sorry, you are not allowed to access this page." appeared, it did at many places so I added random string of text in some files to see exactly which one, it came from the file wp-admin/includes/menu.php in the last lines:

    if ( ! user_can_access_admin_page() ) {

  3. I thought maybe user_can_access_admin_page() returned wrong information for some reason, so I used a page template to output some data like so

if ( current_user_can('administrator') ) {     echo "Yes, admin"; }  if ( user_can_access_admin_page() ) {     echo "Can access admin"; } else {     echo "Can't access admin"; } 

Both returned true, yet the check on menu.php fails. Not sure why.

  1. Replaced wp-admin and wp-includes folder with fresh copies downloaded from WordPress org.

  2. Renamed the theme and plugin folders to rule out the problem coming from a plugin or theme. Not the case, it still was the same.

  3. Checked the error log of Apache2 as well as enabled debugging log for WP to look for any related error, none found. Nothing special, all the usual PHP notices that I have seen before.

  4. At one point I noticed the SSL certificate expired a month ago (problem started yesterday though) so just to be sure I renewed that as well, still the same.

Anybody who have an idea on what might be wrong would be a great help!

‘user’ is not valid at this position, expecting an identifier

CREATE TABLE ‘users’ ( ‘id’ int(11) unsigned NOT NULL AUTO_INCREMENT, ‘name’ varchar(75) NOT NULL, ‘password’ varchar(100) NOT NULL, ’email’ varchar(100) NOT NULL, PRIMARY KEY (‘id’), UNIQUE KEY ’email’ (’email’) ) ENGINE=InnoDB DEFAULT CHARSET=utf8 COLLATE=utf8_unicode_ci AUTO_INCREMENT=1;

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Is a Pact of the Chain Warlock’s quasit familiar really this effective as a spy?

One of my players has a Warlock with the Pact of the Chain. This PC has a quasit familiar. If we are applying the rules correctly…

Pact of the Chain

You learn the find familiar spell and can cast it as a ritual. The spell doesn’t count against your number of spells known. When you cast the spell, you can choose one of the normal forms for your familiar or one of the following special forms: imp, pseudodragon, quasit, or sprite. […]

Find Familiar

[…] While your familiar is within 100 feet of you, you can communicate with it telepathically. Additionally, as an action, you can see through your familiar’s eyes and hear what it hears until the start of your next turn, gaining the benefits of any special senses that the familiar has. During this time, you are deaf and blind with regard to your own senses. As an action, you can temporarily dismiss your familiar. […]

VARIANT: QUASIT FAMILIAR […] Familiar. The quasit can serve another creature as a familiar, forming a telepathic bond with its willing master. While the two are bonded, the master can sense what the quasit senses as long as they are within 1 mile of each other. While the quasit is within 10 feet of its master, the master shares the quasit’s Magic Resistance trait. At any time and for any reason, the quasit can end its service as a familiar, ending the telepathic bond.

… then he can communicate with it within 1 mile and see what it is seeing.

For example, in a mission where PCs have to peek at the enemy camp, he could just stay hidden and send the quasit exploring the camp. The quasit can turn invisible and polymorph into a centipede, so it can go anywhere (even inside a building), and the Warlock can see everything.

Now, is this correct? It would seem really overpowered to me.

If it’s correct, how can I limit this power in an acceptable way?

Is this homebrew Legend of Zelda Rito race balanced?

I recently made a homebrew race based on the Legend of Zelda Rito for Dungeons and Dragons 5E, and I was wondering how balanced it is. The Rito are bird like creatures, similar to the Aarakocra but a little less powerful. I made this build for a Legend of Zelda campaign I am planning (Breath of the Wild setting if it matters).

Ability Score Increase: Your dexterity score increases by 2.

Speed: 30 ft.

Flight: You have a flying speed of 30 feet while you are not wearing medium or heavy armor.

Rito Weapon Training: You are proficient in the longbow, shortbow, and hand crossbow.

Languages: Common and Rito.

Size: Your size is medium.