Unity: NavMeshAgent fails to find paths in certain areas in NavMesh

I’ve been using Unity for about 2 days, and I have a scene with a navmesh. I can click on the NavMesh and get the NavMeshAgents to move to that position most of the time. However, there is a region of the NavMesh where it fails to generate a path to. I technically have two NavMeshes, because I have two different sized NavMeshAgents, but both fail in the same region. Since I’m very new to Unity, I don’t know how to diagnose this, much less fix it. How should I go about learning more about this problem?

EDIT: I can path through the affected area, as long as the destination point is on the other side of it. Also, when I put a cube in the middle of the affected area and rebake the NavMesh, the problem area moves to a new location, so it must have something to do with the geometry.

bug – Big Sur Safari text areas are buggy

Has anyone else noticed that in Big Sur the text input areas in Safari are buggy? Specifically, I’ll click on the text area, and start typing, and text starts to disappear a few lines away from where I thought I put the cursor. It’s hard to get out of this state. I scroll up and down and eventually it resets something and I can type in the text area again.

It may have to do with scrolling, because I think every time I see it I’m in a text area that requires scrolling to show all its text. So people entering smaller amounts of text might never notice this bug.

optics – What causes the frosted glass effect of out-of-focus areas?

I expect that the out-of-focus areas would look like smooth gaussian blur ideally. But I found that they look like looking through frosted glass. Colors around the edges are blending with a grainy effect instead of gradually.

I found this effect on a lot of web images and confirmed it with my iPhone camera.

I guess it may be related to the imperfection of the camera, but not sure which part causes it and how.

A sample photo with Bokeh effect
Zoom-in of the blue box area to show the details

mg.metric geometry – Equal products of triangle areas

Claim. Given hexagon circumscribed about an ellipse. Let $A_1,A_2,A_3,A_4,A_5,A_6$ be the vertices of the hexagon and let $B$ be the intersection point of its principal diagonals. Denote area of triangle $triangle A_1A_2B$ by $K_1$, area of triangle $triangle A_2A_3B$ by $K_2$,area of triangle $triangle A_3A_4B$ by $K_3$,area of triangle $triangle A_4A_5B$ by $K_4$,area of triangle $triangle A_5A_6B$ by $K_5$ and area of triangle $triangle A_1A_6B$ by $K_6$ .Then, $$K_1 cdot K_3 cdot K_5=K_2 cdot K_4 cdot K_6$$

algorithms – Dividing a Polygon into different sub-areas given areas

I don’t know if this is the correct place to post it, but I’ve been asked to create an algorithm in which I get a polygon, and I have to fit different other polygons with a given area.

It will have also to meet some rules, but as a first step, I’ll need to generate those new polygons inside the original one. As another requirement, it’s needed to get different possible solutions (which I suppose I can handle just putting one or the other first).

I’m not looking for a final solution (which I suppose would be difficult and need some work from my side), just some guidance about which algorithms or techniques you find could be useful.

There is no initial requirement about the programming language, so if there are any libraries that could help, please tell me 🙂

Thanks in advance!

Problemas con enrutamiento de mĂșltiples Areas en asp Net core 5

mi problema es el siguiente quisiera llegar al siguiente enlace, llevo muchas horas intentando pero no lo consigo.
localhost:44368/Categorias/Index
pero me sale la siguiente
localhost:44368/Categorias?area=Categorias

public void Configure(IApplicationBuilder app, IWebHostEnvironment env)
        {
            if (env.IsDevelopment())
            {
                app.UseDeveloperExceptionPage();
                app.UseMigrationsEndPoint();
            }
            else
            {
                app.UseExceptionHandler("/Home/Error");
                app.UseHsts();
            }
            app.UseHttpsRedirection();
            app.UseStaticFiles();
            app.UseCookiePolicy();
            app.UseAuthentication();
            app.UseAuthorization();
          
            app.UseMvc(routes =>
            {
                routes.MapRoute(
                    name: "default",
                    template: "{controller=Home}/{action=Index}/{id?}");
                routes.MapAreaRoute("Principal", "Principal", "{controller=Principal}/{action=''}/{id?}");
                routes.MapAreaRoute("Categorias", "Categorias", "{controller=Categorias}/{action=''}/{id?}");
            });

        }

Este el fragmento del _Layout

                    @if (SignInManager.IsSignedIn(User))
                    {
                        <li class="nav-item">
                            <a class="nav-link text-dark" asp-area="Categorias" asp-controller="Categorias" asp-action="Index">Categorias</a>
                        </li>
                    }
                    else
                    {
                        <li class="nav-item">
                            <a class="nav-link text-dark" asp-area="" asp-controller="Home" asp-action="Privacy">About</a>
                        </li>
                    }

definite integrals – On counting the areas covered by holes in a function in integration

As far as I know, holes in a function at the endpoints of an interval aren’t usually given any importance while integrating over that interval. For example, while calculating the area under the fractional part function from 0 to 1;
enter image description here

You don’t really think of a hole as being an infinitesimally small width that contributes to the calculated area. And I’m fine with that- it makes sense.

But there’s this question that defines f(x) as 0 where x can be expressed as $frac{n}{n+1}$, where n’s an natural number, and as 1 everywhere else. And you’re supposed to find the integral of f(x) from 0 to 2. So you’ve got a line, y=1, with dots on it that grow closer and more numerous as you get closer to 2, nearing an infinite number.

Now the solution to the question just integrates the function from 0 to $frac{1}{2}$, $frac{1}{2}$ to $frac{2}{3}$, $frac{2}{3}$ to $frac{3}{4}$ and so on until 1 and then a normal integral from 1 to 2-essentially just integrating y=1 from 0 to 2.

This seems odd. Isn’t ‘infinitesimally small quantities summed in infinite numbers forming actual numbers’, the general idea of integration? Since there’re an infinite number of small widths here, shouldn’t they be considered as constituting some area and thereby affecting the calculation?

connection issues – No or very poor cell signal in areas I know have good signal

My phone worked fine till about the middle of yesterday. I live out in the country but usually I see 3 to 4 bars sitting at my desk in the basement. But now even if I walk up to the top of the hill (200 ft) on the property, from which I can see 3 cell towers, the signal comes and goes. For about 30 seconds there is full strength and then nothing, and I mean absolute zero signal, for a minute or 2. I had this problem last year as the phone was in warranty I just got a replacement. I figured the antenna wasn’t connected correctly and it came loose. But to suddenly get this bad again, and I am sure I haven’t dropped or jarred phone, I have to think something else is screwed up.

This morning I figure since I hadn’t done any updates in a while I should do them. I used my WiFi connection to update and it worked for a couple minutes after I did the update, then the signal was gone again. This makes me think some setting is messed up but where and how to fix it is my problem.

As I drive around I get signal, but noticeably I have to be closer to a tower to get signal and then it gives me 4 to 5 bars otherwise nothing.

I have checked the “Mobile Network” settings; “Roaming” is on, “Preferred Network Type” is set to “Global”, and “Enhanced 4G LTE Mode” is on. I have tried changing them all but no difference.

If it is relevant my phone is Motorola Moto E6

This is such an odd problem I am not even sure where to start digging for answers

Blockchain Project Can Track Coronavirus Infected Areas

VirusBlockchain.com is a new blockchain technology that can track areas that are infected with coronavirus and give you certain locations that are safe to quarantine. It collects information from medical authorities and security centers from around the world and arranges the data using artificial intelligence and geographical information systems to give accurate results to its users.

Understanding Android app data storage areas

Android stores some application data in non-volatile memory that can be accessed without needing root privileges.

Android stores other application data in non-volatile memory that can only be accessed with root privileges.

What is the correct terminology to use to describe each of those storage areas, and what determines in which location an app stores its data?