how can show a custom text or page to special country IP’s that banned by CSF or another tools


hello,

I banned special countries on my server by CSF firewall,

exist ways that can show a text or redirect to a page?

for example ” you are can not visit this site by this location, if you are using VPN please turn off and try again “

I want do this by this CSF, if this action does not exist on CSF, please intro tools that I can do this goal,

thank

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ct.category theory – Are categories special, foundationally?

Some folks over at nLab want to use categories as a foundation for all of mathematics, I’m guessing as an alternative to sets. Sets work fine, and so do categories, so I have started wondering what other kinds of objects everything could be founded on. The Wikipedia page for categories has a nice table of different group-like structures. In addition to the group-like structures, there are also a lot of other structures that come up in abstract algebra, like rings, vector spaces and modules. Could there be an v-Lab where everyone gets together to phrase everything in math in terms of vector spaces, or is there something special about categories? Is there some kind of property or requirement that an abstract object must have in order to work as a foundational concept?

There is a lot of theory about how powerful each different kind of logic is (for example, some theorems can be proven in ZFC but not in constructive mathematics), so I am curious if there is a similar multiverse for foundational definitions.

Here is a closely related question, but for groups. It is encouraging to see that for groups the answer is “yes.” This makes it even more interesting to ask, what are the requirements for foundational objects in general?

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probability theory – Wiener integral as a special case of Ito integral

I feel like this might be really simple, but I have tried for some time and not been able to make any headway. If $f in L^{2}( (0, infty))$ and ${B_{t},{mathcal{F}_{t}}, t in (0,infty)}$ is the Brownian motion, the Wiener integral $int_{0}^{t}f(s)dB_{s}$ is defined as the $L^{2}$-limit of the Riemann sums $sum_{i=0}^{n}f(t_{i})(B_{t_{i+1}}-B_{t_{i}})$ over a partition $pi_{n}$ of $(0,t)$, as the mesh size goes to zero. Since the Riemann sums themselves are mean zero Normal random variables, so is $int_{0}^{t}f(s)dB_{s}$ with variance $int_{0}^{t}f(s)^{2}ds$.

I was trying to derive the same as a special case of Ito’s integral by considering $f(t):equiv f(t)1_{Omega}(omega)$. This function is clearly measurable with respect to $mathcal{B}((0,infty))times mathcal{F}$. Since $Eint_{0}^{infty}f(s)^{2}ds < infty$ and the quadratic variation of $B_{t}$ is $t$, which is absolutely continuous, the integral $I_{t}(f)=int_{0}^{t}f(s)dB_{s}$ is defined. Since this is a martingale and $I_{0}=0$ a.s, $E(I_{t}(f))=0$ and by the Ito isometry, the variance is $int_{0}^{t}f(s)^{2}ds$. But how do I show the distribution of $I_{t}(f)$ is Normal? Any help would be appreciated.

special functions – Tightness of Matrix Hypergeometric Bound

In Ratnarajah et al (link), the authors write (on pg 3) that the following inequality for the Hypergeometric function of matrix argument holds:
$${}_0F_1(b; X) < {}_0F_0(X/b)$$
where $b$ is a nonzero complex number and $X in mathbb{C}^{m times m}$. Note that ${}_0F_0(X) = e^{text{Tr } X}$. They then state that a numerical evaluation shows that the bound is tight.

I am wondering if this tightness can be rigorously proved in the following sense: Let $Phi in mathbb{R}^{mtimes m}$ be positive definite with $m leq n$. Do we have
$$e^{-frac{1}{2} text{Tr } Phi} – {}_0F_1(frac{n}{2}; -frac{n}{4}Phi) = o(1)e^{-frac{1}{2} text{Tr } Phi}$$ as $m, n to infty$?

For small $Phi$ the claim is true from the expansion ${}_0F_1(n; nPhi) = e^{text{Tr } Phi}(1- frac{1}{2n}text{Tr } Phi^2 + O(n^{-2}))$. I tried expanding ${}_0F_1$ in terms of Zonal polynomials, in which case we get
$$e^{-frac{1}{2} text{Tr } Phi} – {}_0F_1(frac{n}{2}; -frac{n}{4}Phi) = sum_{k geq 0} frac{(-1)^k(text{Tr } Phi)^k}{2^k k!} Big(1 – sum_{|kappa| = k} frac{n^k}{2^k (n/2)_kappa} Z_kappa(tilde{Phi}) Big)$$
where $tilde{Phi} = frac{Phi}{text{Tr } Phi}$, $kappa$ sums over the partitions of $k$, and $(a)_kappa$ is the partitional rising factorial. It is not too hard to show, at least in the $n=m$ case, that the inner terms inside the big parentheses are asymptotically bounded in absolute value by $frac{k(k-1)}{n}$ (proved in Richards), but I don’t think this is sufficient to prove the claim.

Voxgrid.net – New General Discussion Forums page // Special features // £10 Giveaway at the moment // | Forum Promotion

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Hello and welcome to my thread on my new forums page, VoxGrid!

What is VoxGrid?
VoxGrid is a general discussion forums page. The name is made of 2 parts. Vox meaning voice in Latin and Grid representing a network. There are 5 sections *:
Gamer Lounge: Gamers and gaming enthusiasts can post here. I have included dedicated sections to some popular games and areas.

Technology Zone: There are dedicated categories within here for technology, from Coding to forum software and more,

Film Studio: This can range from Movies to TV but I’ve included a video-editing section too and some more

Arts Room: Ranging from GFX to Music to Art

Knowledge section: I’ve divided this up into interests/knowledge and a study section.
*In the future, I will make more categories and overtime, I will add more dedicated categories within each section depending on the feedback I recieve.

How do I join?
It’s very simple! Just go to VoxGrid’s URL and go to the top right or click the announcement’s hyperlink. From there, you are prompted to a registration process that should take 1 minute. And after activating your account, you are a registered member on VoxGrid! :)

How many members and posts are there on VoxGrid?
At the moment, there are 50 members with 17 threads and 32 posts. I think these are decent considering I only launched this website last week and with an active giveaway going on at the moment (which any registered member is eligible for), I expect activity to be a bit higher and maybe after posting this thread to also increase members and posts. I have and will continue to be posting regularly on the page in a hope to spark up some discussion too.

What forum software does VoxGrid use?
We use MyBB, a free open-source software. I love this software and considering I don’t have the money to spend on more advanced ones like Xenforo or VBulletin, it’s so great that there is software that I can use for free to build up my site. Who knows, maybe in the future if I do get funds/donations, I may move to another software. But for now, I am very happy with MyBB, the support they provide and the vast amount of resources available. Everything I used on my website was free (except webhosting). The only cost was my time which I am more than happy to use towards making a page that all my members can enjoy.

What features do VoxGrid have?
We have a vast amount of categories and forums for you to discuss in. You can pretty much talk about anything on there and there is room to expand in the future. I am going to make my YouTube Banner templates available to download on my site for FREE to all registered members (I will showcase the templates on my YouTube channel _B_ and the link to that is above). This is to give VoxGrid members a template to use for their YouTube channels to boost it a bit with some channel art which will really help the look of the channel! We also have an awards system. Users can gain these through various ways such as through being a staff member, winning a giveaway, reaching a milestone (like 100 posts or 50 reputation) or just randomly lol. I will be creating more awards as time goes by. I’ve even included a live cryptocurrency widget on the side. We also use a groups promotion system that is based on the amounts of posts that you have created. When you reach a certain amount of posts, you will get a new rank, each one with more perks.

As mentioned above, we currently have a giveaway going on for the most active member. The winner will receive £10, an award which will be displayed on your profile and postbit and a “special rank” which allows perks such as custom profile background (shown on postbit too), gif avatars, custom profile music, the ability to change your user title and to change the style of your username. We hope to include more features as time goes by when more members start to join!

So… now what?
You’ve finished reading my thread which I’m very grateful for. Thank you for that. If you want to find out more, then please visit the website and if you like it, maybe even join it and help the website out through posts and threads. This would be much appreciated and I would be so thankful for that. if you really like my website and want to show that, please consider leaving a donation on my site here (Paypal only). These will really help with the web hosting costs and the amount of development and time I have put in towards creating a website that I hope is of high quality. Please remember that any amount of donation is much appreciated and that you do not have to donate to access my website. Joining VoxGrid is completely FREE!

Please remember to leave some feedback and suggestions. I will take the time to read and respond to all feedback and suggestions that I get left as this helps me greatly in establishing a way forward and a plan on what to do next. If you can, you could also join my Discord server or add me on Discord (BDON33#0691) where I will be more active and open to response. VoxGrid is a work in progress still and yes it still needs a bit of tweaking and fixing in places. I will posts any major updates on my announcements page on VoxGrid, my Discord server, emails and will keep this thread active and edit it at times if anything changes or if there is any news for VoxGrid.

I hope to see some of you guys on VoxGrid and will keep my presence on Forum Promotion active too.
Thank you, take care and stay safe!
_B_​

safety – In Germany, are there any cities or special regions in cities which are dangerous for non-white people to go to?

I have been living as a white, non-obvious foreigner in Germany for more than 25 years. Nationalism used to be frowned upon until recently, at least the subject was rarely discussed openly, but there are strong, dormant xenophobic tendencies in large parts of the German society, even if noone speaks about it. In the last few years, the nationalist and racist political party AfD has experienced a huge increase in support and is in several municipalities in the eastern parts of Germany the largest political party by number of votes. Expressing racist and xenophobic hatred has definitively become more wide-spread and socially accepted just during the last few years.

I am personally not at all easily scared, but there are for sure areas which I would have avoided, if I had looked obviously ‘different’, at least some districts in Berlin and many rural areas in the eastern parts of Germany. There are also a few ‘nazi villages’ in eastern Germany, of which Jamel in Mecklenburg probably is the most famous.

There is of course a large step from having an opinion and to act out violence against foreigners. It is not self-evident that in certain areas of Germany, someone will wait for you behind every rock, looking forward for any chance to beat up a non-white. Racial motivation has been recorded in crime statistics since 1990 and since then, there have been about 200 racially motivated murders. In the recent years, there have been some 1000 to 2000 yearly cases of racially motivated violence across the country. With millions of foreigners living in Germany and many more millions visiting Germany every year, the chances that anything will happen to you are as you can see in general very small. There are however areas with much more violence than in other areas and you might want to avoid them.

safety – In Germany, Is/are there any city or a special region in a city which is/are dangerous for non-white people to go to?

In Germany, Is/are there any city or a special region in a city which is/are dangerous for non-white people to go to?

I mean, is/are there any city or an area in a city in which predominantly white supremacists live and they are antagonistic to non-white people and are/is dangerous as a result?

pathfinder 1e – Which armor special abilities can be applied to Bracers of Armor?

Well, I went through the list of abilities and found them.

+1 Armor Special Abilities

Benevolent, Billowing, Bitter, Calming, Champion, Cocooning, Crusading, Dastard, Deathless, Defiant, Evolving, Fortification (light), Grinding, Impervious, Poisoning, Spellsink, Stanching, Vouchsafing, Warding

+2 Armor Special Abilities

Frosted, Ghost Spike, Jarring, Shadow Blending, Spell Dodging, Spell Resistance (13)

+3 Armor Special Abilities

Cotravelling, Fortification (moderate), Ghost Touch, Invulnerability, Sensing, Spell Resistance (15), Titanic, Wild

+4 Armor Special Abilities

Spell Resistance (17)

+5 Armor Special Abilities

Fortification (heavy), Spell Resistance (19)

Of the 122 Shield and Armor abilities, only 36 are applicable, and even then some of them make very little sense to have on the bracers, like Titanic, Poisoning, and Impervious.