dnd 5e – How does metamagic adept interact with flexible casting and the sorcery points cap?

You gain 2 sorcery points to spend on Metamagic (these points are added to any sorcery points you have from another source but can be used only on Metamagic). You regain all spent sorcery points when you finish a long rest.

Assume a level 3 variant human sorcerer has 3 sorcery points from their class and 2 from metamagic adept.

They spend 2 sorcery points from their class to make a 1rst level slot with flexible casting. Now they have 1 from their class and 2 from metamagic adept.

Are they able to convert a spell slot to sorcery points?
Or can they not go over 3 sorcery points because they are level 3. In effect forcing them to spend the points from the feat before they can make more.

How does metamagic adept interact with flexible casting and the sorcery points cap?

charts – BTC graph of Price vs graph of Market Cap inverted today — is this normal?

I noticed that today the side-by-graph of BTC price vs BTC market cap, first converged and then crossed and has been inverted for most of the day.

This seems counter-intuitive to me. My simple-minded expectation is that these are strongly-correlated and the gap between them should stay constant and never converge or invert.

Is this connected in some way connected to the “whale-wallet” that was seized by the US government recently? In other words, are the exchanges discounting the total market cap by the amount seized or similar?

EDIT: perhaps what I am seeing is due to different graph scales for the two values?

wifi – Airport .cap file is empty

I start capturing by issuing command:

sudo airport en0 sniff 1

and get:

Capturing 802.11 frames on en0.

when I press Ctrl-C :

^CSession saved to /tmp/airportSniffo78aCP.cap.

and file /tmp/airportSniffo78aCP.cap

has only 24B:

$hexdump /tmp/airportSniffo78aCP.cap 
0000000 d4 c3 b2 a1 02 00 04 00 00 00 00 00 00 00 00 00
0000010 00 00 08 00 7f 00 00 00                        
0000018

Is my wifi got stuck? I tried to put interface down and up but without luck…

What is Ethereum Classic? (ETC) PRICE & MARKET CAP!

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altcoin.jpg

"Ethereum Classic (ETC)"
This cryptocurrency is launched by decentralized Ethereum Classic platform which is a continuation of the original Ethereum blockchain.

Ethereum Classic utilises POW (Proof of Work) protocol, mining via CPUs and GPUs that involves doing computational tasks.

On leading coin exchange platforms ETC can be exchanged with other cryptocurrencies like BTC/ETH/USDT, or even with fiat currencies like USD…

Read more

dnd 5e – Would it be balanced to remove the level cap on my homebrew Water Jet elemental discipline for the Wot4E monk?

I have homebrewed various additional elemental disciplines for the Way of the Four Elements monk subclass. Although many of those are just adding more spells (erupting earth, tidal wave, etc), and others are just reskins of existing disciplines (such as fist of unbroken air, water whip, etc), one unique discipline that I came up with was this:

Water Jet (11th level required). You can spend 2 ki points as an action to unleash a jet of water in a line that is 30 feet long and 5 feet wide. Each creature in the line must make a Strength saving throw, taking bludgeoning damage equal to your Martial Arts die + your Wisdom modifier on a failed save, or half as much on a successful one. In addition, each target that fails its saving throw is pushed up to 20 feet away from you.

However, I wrote this a while ago, and I can’t remember why I decided that it should cost 2 ki (which is typically what the disciplines you have access to at 3rd level cost) but also be capped at 11th level or above.

Intuitively, this feels like it would be fine as-is for a 3rd level Wot4E monk to have. Either that, or if it is to have a level cap, the ki cost should match that of the other disciplines capped at that level (e.g. 4 ki points for an 11th level discipline, not 2 ki points).

Compared with the RAW elemental disciplines from the Player’s Handbook, would this discipline be balanced if I removed the level requirement?

azure – How to support RDP on to VMs in a Hub and Spoke toplogy using AAD authentication (and CAP)

I have a hub and spoke topologogy made up of a central vnet and then peered VNETs. Inside each peered VNET is a VM.

I want to allow RDP access to the VM (which is AAD joined) via AAD authentication. AAD auth needs to be restricted via CAP.

This, it turns out, may be tricky.

Option 1:
I had hoped to place an Azure load balancer inside the hub and assign a single IP address to it. In my AAD I would the add a CAP for this IP. This would then allow me to RDP (via a jump box in the hub) onto each spoke VM.

Alas Azure load balancer doesnt support peered VNETs.

Option 2:
I considered using Bastion to access the VNets… but bastion doesnt support AAD or peered networks. So thats useless.

Option 3:
I could stick a public IP on each VM (and allow only outbound traffic via an NSG) with all public IPs using a prefix to simplify CAP. Although this rather confusing article https://docs.microsoft.com/en-us/azure/azure-resource-manager/management/azure-subscription-service-limits?toc=/azure/virtual-network/toc.json#networking-limits seems to imply that the number of public ips is restricted per subscription (to 10 for basic!?!)
Here I’d use IP prefixes to simplify CAP to a known range.

Option 4:
I could introduce a virtual appliance.
This sounds horrid and requires management etc

Are there other options Ive missed (I almost certainly have)?

camera basics – Do I need to remove the flash hotshoe cap when taking pictures?

I just bought an Olympus Trip 35 and this is my first ever film camera. I went hiking yesterday and I took the camera to take shots. All of them were outdoors.

I was just wondering, the little cap that’s on top of the camera, covering the silver bit between the flash hotshoe rails, should that be taken out when taking pictures?

I’m very new to this, and it might sound stupid but I need to know.

What is TRON? (TRX) PRICE & MARKET CAP!

General
"TRON" is an Ethereum blockchain-based decentralized entertainment protocol and "TRONIX" is a cryptocurrency token launched by it.

Earn
Buying crypto like Bitcoin, and exchanging them to TRX is the most popular way. Decentralised virtual-gifting platform Gifto has also partnered with TRON to monetize decentralized content.

Fund

What is TRON? (TRX) PRICE & MARKET CAP!

How to remove the cap of a sphere in Graphics

How can I remove the cap of a sphere in graphics ?

Graphics3D[{Red, Sphere[{0, 0, 0}, 5]}, Axes -> True, PlotRange -> {{-10, 10}, {-10, 10}, {-10, 10}}]

I’d like to remove the green part for example here :

enter image description here

measure concentration – Upper bound $tau_C := int_{|x| le 1}(vol(C cap (x + C))/vol(C))dx$ for a convex body $C subseteq mathbb R^n$, by reducing to a ball

Let $C$ be a convex body in $mathbb R^n$, i.e a bounded convex subset of $mathbb R^n$ which has nonempty interior, and which is (A) open, or (B) closed (I’m not sure one makes more sense; choose the one which works best for you). Consider the number $tau_C in (0, 1)$ defined by

$$
tau_C := frac{1}{omega_n}int_{|x| le 1}frac{vol(C cap (x + C))}{vol(C)}dx = frac{1}{omega_n}int_{|x| le 1}mu_C(x + C)dx,
$$

where $omega_n$ is the volume of the unit ball in $mathbb R^n$ and $mu_C$ is the uniform measure of $C$. In general, estimating $tau_C$ would be challenging, since $C$ can be very arbitrary. An exception is when $C$ is euclidean ball. The goal is then to obtain good upper-bounds on $tau_C$.

The baseline approach. Let $C’$ be the Steiner symmetrization of $C$ w.r.t a coordinate axis. In this post (claim 4; also see comments under the question), it was shown that $tau_C le tau_{C’}$. On the other hand, it is well-known that $C$ can be symmetrized into a ball $B$ of same volume as $C$, via a process $C rightarrow C’ rightarrow ldots rightarrow C^{(k)} rightarrow ldots rightarrow B$ (which is convergent in Hausdorff topology), it follows that $tau_C le tau_B$.

  • Is there an alternative way to establish that $tau_C le tau_B$ (where $B$ is a ball of same volume as $C$) without using Steiner symmetrization, but perhaps, using another mapping / process. Can this be done using, for example the Brenier map between $C$ and $B$ ?
    • N.B.: Breniers map because, after all, such maps are used to transfer isoperimetric to proof the minimality of the, say, the surface of a ball (via Brunn-Minkowski), and so may they might also be of help here.
  • Is there perhaps a way to directly upper bound $tau_C$ as a function of its volume ?

Thanks in advance for your help!