conic sections – From a point perpendicular tangents are drawn on the ellipse $x^2+2y^2=2$. The chord of contact touches a circle concentric with ellipse…

From a point perpendicular tangents are drawn on the ellipse $x^2+2y^2=2$. The chord of contact touches a circle concentric with ellipse. Find ratio of min and max area of circle

Let the point from which tangents are drawn be $(h,k)$

Then the locus of that point will be

Also the chord of contact is
$$frac{hx}{2}+ky-(frac {h^2}{2}+k^2)=0$$

Let the circle be $$x^2+y^2=a^2$$

Then the tangent to this circle is
$$y=frac{-h}{2k}xpm asqrt{1+frac{h^2}{4k^2}}$$

$$hx+2ky mp asqrt{4k^2+h^2}=0$$
Now I could equate the $c$ term of the linear equations, but that’s a very lengthy process, so I am convinced I am approaching the question wrong. How should I do it right?

dynamic – How to plot the stable and unstable manifolds of a hyperbolic fixed point of a nonlinear system of a map?

I would like to plot the stable and unstable manifold of the Hénon map x_{n+1} = 1 – a*x_n^2 + by_n, y_{n+1} = x_n. I believe that iterate the inverse map i would get the stable curve, and for the unstable i need to choose an large number of initial conditions inside the neighborhood of the saddle point along the unstable direction and then iterate the map for a few times, but i do not know how to do this things.

wifi – Access point uses different BSSID and deauth attack fails

I’m using airgeddon ( to perform a deauthentication attack on my wifi network.

When i put my wireless interface in monitor mode to scan the network from the outside I found the router’s BSSID, which is 10:13:31:F1:48:8D, and then I tried to perform various deauthentication attacks on the network but all of them failed: my computer can successfully send packets but the network is not affected (since my other devices can access internet normally).

Then I ran Zenmap from inside of the network to check if my router’s BSSID was correct and I found that all the devices connected to wifi shown a different BSSID for the router, which is: 10:13:31:F1:48:8C: the difference is in the last digit.

So I tried to perform the attack on the 8C BSSID manually (because it is not detected by airodump-ng) but the attack fails.

This is what I used for the attack:

aireplay-ng -0 0 -a 10:13:31:F1:48:8C wlp3s0mon

and the result is:

00:03:55 Waiting for beacon frame(BSSID 10:13:31:F1:48:8C) on channel 1
00:04:05 No such BSSID available.

using the channel 1 for the attack (the same attack works with 8D and channel set on 1).

There’s a way to perform the attack on the correct BSSID?

dnd 5e – What is the point of tool proficiencies

What’s even the point of skill proficiencies? You can accomplish the same thing with a tool proficiency, so is there even a point?

All (non-armor) proficiencies in D&D 5e do the exact same thing– they let you add your proficiency bonus to some sort of roll. Skill and tool proficiencies, in particular, both let you add your proficiency bonus to certain ability checks. For skills, that’s anything involving the use of that skill. For tools, that’s anything involving the use of those tools.

Because proficiencies in 5e don’t stack– you either add your proficiency modifier or you don’t– having overlapping tool and skill proficiencies is bad. For example, there’s practically no benefit to having proficiency with disguise kits and the deception skill– you can leverage your skill at pulling off disguises pretty much every time you can tell a lie and vice versa.

So, then, broader skills and tools are, obviously, better than specific ones. Tools aren’t inherently more or less broad than skills, though. They are just different.

Skills, in the most default RAW context, are tied to specific abilities by being subsets of them. That means Perception proficiency will only ever apply to Wisdom checks in such a context.

Tools, on the other hand, are not tied to any one ability score. Instead, they are tied to the involvement of the tools or parts of the tools in the task. That means that Thieves’ Tools proficiency, while typically applied to Dex checks, could also apply to e.g. an Intelligence check to analyze how a defeated construct worked, provided the tools were used to disassemble it as part of the check.

Tools, then, are better when you have several different ability scores involved in what is essentially a single task or family of tasks and want to add your proficiency bonus to all of them, while skills are better when you want to ensure that a single attribute will be exclusively used for a particular kind of activity.

What kind of service I need to point multiple domains to different webpages?

I would like to provide my users a way to publish their site, meaning I’ll be hosting it and I would provide them the DNS information so they can point their custom domain to it.

I’m totally new on this field so my question might seem a bit weird, so sorry about that in advance.

I’m currently using S3 and I created a bucket with many folders. Each folder being a user’s website published in “my hosting” (s3).
I would like each folder to be able to be accessed through a domain, but I was told that’s not common and in fact, probably not easy.

I’m open to new suggestions and I’m considering different ways but I’m a bit lost.

Do I need a “Reseller” hosting in order to do this?
I definitely do not want having to maintain / update / monitor my own server and I want it to be scalable, as I don’t know in advance how many websites I will have to be hosting and how much data transfer they will require.

In case this helps, all websites will be 100% static.

catalina – Specify mount point for Samba share

I can connect to a Samba share on my Raspberry Pi with the following:-

open smb://pi:password@MilliwaysPi4.local/pi

This works, and Finder shows the Location as MilliwaysPi4.local with access to the pi home directory.

This mounts at /Volumes/pi but if I have another Raspberry Pi already mounted it mounts at /Volumes/pi-1 etc.

Is there any way I can specify a mount point?

On Linux I can mount a share on my Mac at a specified mount point /mnt/Image with a command like the following:-

sudo mount.cifs //Milliways.local/Images /mnt/Image -o user=XXX

Is there any similar option in macOS.
The Help file is very brief, and I can’t find any detailed documentation for the open smb:// commands.

magento2 – Import Stock QTY from onsite Point of Sale – Method Question

I have a production online site that is running smoothly. I want to update stock QTY from my onsite store on a daily bases, around 10k SKUs.
Now I am using shared hosting currently, that does not allow me to change PHP global variables(php max execution time specifically). Therefor doing any PHP import seems to timeout.

I’m planning to change stock QTY via the database. Uploading the CSV output from my onsite store to a temp table and doing a update where needed. (Tables: cataloginventory_stock_item for QTY, cataloginventory_stock_status for stock status if > 1)
I’ve found plenty of information on how to accomplish this and seems easily done.

My questions is if this is an OK way to update stock? Any drawbacks that this could cause? Everywhere else I see the changes being made via PHP script that changes the database.
I’m very new to this but I’m decently familiar with making database changes but not so much with PHP.

linux – where we should create the mount point when we are going to share them

I know that it is very naive question. I am very new so if it is simple for you, I appologise in advance.
I have a storage and I have created 10 with different size, then I multipath them and now I have created the file systems but now I am gonna do the mkdir and then mount them.

should I create them all in /dev or any other folder ?
I am going to share them through network

sharepoint enterprise – Python – Not able to access company share point directory which uses single sign on for authentication

My company share point uses windows authentication and uses HTTPS

I am trying to access company share point via the following code

import requests from requests_kerberos

import HTTPKerberosAuth, OPTIONAL

url_login = “”

kerberos_auth = HTTPKerberosAuth(mutual_authentication=OPTIONAL)

r = requests.get(url_login, auth=kerberos_auth)


I am getting an error 403 b’403 FORBIDDEN’

I am having access to this path as I am able to visit this site using my windows authentication but when i am trying to do the same via python script I get the above error. Can someone help.