dnd 5e: How fast would a tensioner floating disc descend if you pulled it over a hole covered by a board and then removed the board so that the drive would fall off?

It is unclear, because the rules as written (RAW) do not address this.

In this situation, a Floating tensioner disc it floats on a surface, and the surface suddenly becomes a hole. Unfortunately, the rules do not provide guidance on what exactly happens next, as the disc is not expected to be above a hole more than 10 feet deep.

The mechanics of the spell suggests that it was not intended for this scenario, as it normally "floats 3 feet above the ground" and "can move across uneven terrain, up or down stairs, slopes, and the like, but cannot cross a change of elevation 10 feet or more. "

The spell description does not specify the speed of how fast the disc moves, either horizontally or vertically. The disc itself is a "horizontal force plane", which may or may not mean that the plane is fixed in place.

So there are several possible outcomes, depending on the interpretation:

  1. The disk is not stationary and would therefore fall off like any other object affected by gravity. It falls until it floats 3 feet on a surface, or exceeds the maximum distance of the caster.

  2. The disc is affected by gravity, but "cannot cross an elevation change of 10 feet or more." If the hole is more than 10 feet deep, the disc remains in place. Otherwise, the disc falls off, as described above.

  3. The disc is a magical force and therefore gravity does not apply, so it remains floating in place.

Finally, the DM would need to decide what happens.

gn. general topology: continuous functions covered in connected $ T_2 $ spaces

Yes $ X $ is a topological space, we leave $ C (X) $ be the collection of continuous functions $ f: X a X $. We say that $ f, g in C (X) $ get together Yes there are $ x in X $ with $ f (x) = g (x) $. We say that $ D subseteq C (X) $ is a cover for $ C (X) $ yes for every $ f in C (X) $ There is $ g in D $ such that $ f $ Y $ g $ get together.

by $ C ( mathbb {R}) $A boring example of a cover is the collection of all the constant functions. A more interesting example is the following accounting cover: for $ k in mathbb {Z} $ leave $ f_k $ be defined by $ x maps to x + k $ for all $ x in mathbb {R} $. Leave $ c_0 $ be the constant $ 0 $ function. Then $$ {f_k: k in mathbb {Z} } cup {c_0 } $$ is a cover for $ C ( mathbb {R}) $.

This motivates the following question: if $ kappa $ he is an infinite cardinal and $ X $ is a connected $ T_2 $-space with $ | X | = 2 ^ { kappa} $, does $ C (X) $ have a cardinality cover $ kappa $?

triangles: find the distance covered by a corner of the plate in a revolution around the fixed plate.

An equilateral triangular plate on the "a" side is rolling without sliding on the periphery of another identical fixed equilateral triangular plate as shown.

enter the description of the image here

Find the distance covered by a corner of the plate in a revolution around the fixed plate.

I could have an approximate idea of ​​the path, but I cannot express it mathematically since I cannot find a point that is at a fixed distance during the revolution.

Can anyone suggest a way? Any help would be appreciated.

Am I covered to drive my parents' car while visiting?

I will visit my parents in Ohio and plan to drive their car during the visit. Am I covered by your insurance to drive your car? If not, how can I get coverage for this? I have a Dutch driver's license.

What is the expectation of the number of times a cycle is completely covered?

Consider a loop with a length of 1, then randomly select a continuous part in this loop with a length of 0.5 and cover it. Repeat this process for k times until the loop is completely covered. Find the mathematical expectation of k.

My personal thoughts are as follows.

I have personally considered the question for quite some time. I tried to disagree the question considering the possibility that the cycle is completely covered with 1,2,3 times of coverage, thinking of adding them to obtain the expectation of k later. When k = 1 and k = 2, obviously the probability is 0, when k = 3 the possibility can be shown by an image. Take the starting point of the first covered line segment as the reference point and, respectively, take the second and third covered line segments as x and y in a coordinate plane. We can trace the image as shown below.

As we create all possibilities, we can have this image. The shaded area is expressed when x lands at these specific points, where y should be to meet the requirements. When calculating the area of ​​the shadow, we can conclude that when k = 3, the probability that the loop is completely covered is 0.25

But when I started with the condition of k = 4, it implies a larger plot dimension, which is much more difficult, and I became unable to think clearly about that problem. Can anyone provide a new perspective on this problem? Or is there an elegant solution?

Period of time covered by the Network tab of the Activity Monitor

I am monitoring the use of my network with Activity Monitor. This screenshot shows 1.22 GB of data received and 700 MB of data sent in the lower right:

Activity Monitor Network Tab

I have difficulty interpreting these numbers. In the image, I classified the applications by "bytes received" with a total of about 443 MB, as opposed to the total number of 1.22 GB received. That is a discrepancy of 800 MB.

This discrepancy could be explained if the totals refer to the period of time from the beginning and the numbers of the application for the period from the beginning of the application. But I couldn't confirm that either. This page suggests that the total numbers in the lower right begin with the start of the computer:

However, this restarts every time you restart your computer.

While this thread says they are reset when I start Activity Monitor:

the Network tab in the Activity Monitor behaves in the same way (the totals are from when it starts, not the application being watched)

Do the total and application numbers refer to the period of time since the computer was turned on or since I started Activity Monitor? If they are the same, what explains the 800 MB discrepancy in the data received?

WordPress site covered by LetEncrypt SSL but was hacked

Hello everyone,

I see a strange case that happens to one of my sites, which is under PHP 5.6 and runs WordPress and Wordfence.

The site is also under HTTPS, but today it was hacked and HTTPS is no longer forced, with the result that the non-HTTPS version is redirecting to a porn site.

I don't know what is happening, and my webhost (whose service has been steadily declining over the years, especially lately) has not yet responded. It is no longer the Steller support they used to have.

If someone wants to know what webhost I use, I can reveal …

However, my question is if anyone has any idea what type of hacking it is, is it WordPress or cPanel? Or what exactly is happening?

I was about to change PHP today, and this happens …..

How to know which method is not covered by the unit test?

I want to finish the Unit test for a contrib module and I want to know if there is a way to know the methods that do not have tests, in this way, I can identify the tests that I need to implement.

Is there any way to do this?

Bottom of the marker covered by the dock after MacBook is updated to Mojave

In my macbook, the dock is always at the bottom, since I never want to use the "hide and show automatically" option. In High Sierra, the presence of the pier would not interfere with the display of the marker. Even if there is a long list of entries on the scoreboard, the dock would not block it. However, after my macbook was updated to Mojave last night, the dock would block the bottom entries of the long list of bookmarks. Wondering if there is any solution for this …

graphics3d – The ListPlot3D label is covered by surface in a combined graphic

I'm trying to draw some points on the upper sheet of the hyperboloid. When I try to label them, the label is partially covered by the surface. You can see this in the following code.

Show[{
  ParametricPlot3D[{Sinh[x] Sin[y]Sinh[x] Cos[y]Cosh[x]}, {x, 0,
1}, {y, -Pi, Pi}, PlotStyle -> {Opacity[1], Yellow}, Mesh -> {5, 10},
Tracing points -> {2, 100}],
ListPointPlot3D[{{Sinh[0.5] Sin[Pi/2]Sinh[0.5] Cos[Pi/2],
Pound[0.5]} -> Style["CS", 15]}]}]

The label is blocked by the surface.

How can I make the label appear in front of the surface? I tried to change the style[“CS”, 15] to text["C"{Sinh["C"{Sinh[“C”{Sinh[“C”{Sinh[0.5] Sin[Pi/2]Sinh[0.5] Cos[Pi/2],Pound[0.5]}]and it does not help

Thank you!