Multiclass Warlock/Sorcerer: How do spell slots recover?

If you multiclass a Warlock and a Sorcerer, then you have a character with both the Spellcasting and Pact Magic features.

PHB Page 101, Sorcerer, Spellcasting, Spell Slots:

You regain all expended spell slots when you finish a long rest.

PHB Page 107, Warlock, Pact Magic, Spell Slots:

You regain all expended spell slots when you finish a short or long rest.

PHB Page 165, Customization Options, Multiclassing, Class Features:

Pact Magic. If you have both the Spellcasting class feature and the Pact Magic class feature from the warlock class, you can use the spell slots you gain from the Pact Magic feature to cast spells you know or have prepared from classes with the Spellcasting class feature, and you can use the spell slots you gain from the Spellcasting class feature to cast warlock spells you know.

Do the spell slots keep their previous method of recovery (sorcerer slots long rest, warlock slots any rest), or do they all act consistently as I am led to believe from the language of the multiclass section? Do they all recover only from long rests as per the sorcerer feature, or can they all be recovered with a short rest because the warlock feature says so?

When multi-classing, can you always select any spell from either spell list, as long as you have the correct level slots to use it? [duplicate]

This question already has an answer here:

  • Can a multiclass Wizard copy any Wizard spell they find into their spellbook? 4 answers

Apologies if this is a duplicate (or just common knowledge) but I found it hard coming up with a way to search for this succinctly enough to get a definitive answer and I haven’t really played a spellcaster before.

If I have a warlock level 5, the warlock has slots of 3rd level. If I then put my next level into a sorcerer. Can I select sorcerer spells of up to level 3, or can I only select sorcerer spells of up to level 1 (i.e. the sorcerer level). I understand how spell slots are added between classes etc, I’m just not sure of this one thing. I had a look at the multi-classing section but either didn’t see it or didn’t understand it when I did see it.

maximal number of time slots until a successful transmission in adaptive tree walking protocol

i have a problem understanding some vital points in adaptive tree walking protocol:

for simplicity sake, only two stations want to broadcast in the given network: A and C.

what is the maximal number of time slots until and including a successful transmission occurs?

what i think: in bit slots, first both stations want to broadcast, so there’s a collision at 1. same occurs when traversing to 2. now we traverse to 2, and A is transmitted, afterwards C is transmitted.

if the probability of a successful transmission is p, then let’s mark that a successful broadcast in station A occurs at probability p and a successful broadcast in station C occurs at probability 1-p. if they both want to transmit all the time and there are constant collisions, then the aforementioned traversal will occur and 5 bit slots will be used. but i don’t understand how can i use it to calculate the maximal amount of time slots until a successful transmission.

would really appreciate your assistance with it

Finding maximal and average number of time slots in an Adaptive tree walk protocol

Tried to research here and on other sites with no luck regarding finding the maximal and average number of time slots in an Adaptive tree walk protocol. i’ll explain what i mean here:

In a simple(provided an image for illustration at the end of the post) Adaptive tree walk protocol, Divided by time slots where a station can only transmit at the beginning of each time slot.

If for instance stations C and A want to broadcast in time t=0 with probability p(for simplicity) (None of the other stations want to transmit at all), Is it possible to know the maximal or average number of time slots that will pass until(including) the slot in which there will be a successful broadcast?

Simple network diagram i am asking about:

Network

Note: for simplicity, in this question, no other station except C and A want to broadcast at all

Can I cast a Magic Initiate spell using my own spell slots if the spell is also in my class spell list?

yes, I know, this question is very similar to others I’ve found.

Can you cast a magic initiate spell using spell slots?

The above post concludes that if the caster does not choose their own class, they cannot cast the spell learned through the feat Magic Initiate.

My question is this: if the spell learned through Magic Initiate exists in my spell list, but I chose another class for some reason, can I still not cast it using my own spell slots?

For example, let’s say I have a wizard and decided to take the Magic Initiate feat, and chose to take the spell from the bard class. The spell of choice: Tasha’s Hideous Laughter (or Hideous Laughter).

Since this spell is both on the bard and wizard’s spell list, could I use my own spell slots to cast it?

Should I use the same OpenPGP keys in certificates used to provision the YubiKey PIV slots?

I know PIV and OpenPGP are separate standards and independent applications in the YubiKey, but for newcomers like me they look very similar with their signing, encryption and authentication keys, use cases, etc.

After setting up my YubiKey with OpenPGP keys I’m wondering: is it advisable, useful and/or secure to load the PIV slots with certificates issued for the same keys used for OpenPGP?

How many spell slots should a Fighter 11/Ranger 9 have?

I’ve been DM for like 2-3 months and one player who’s playing a Fighter (arcane archer) wants to multiclass into Ranger. Arcane Archer is not a spellcaster so assuming he will go Fighter 11/Ranger 9 how many spellslots should he get as 9th lvl Ranger. Should it be 4/3/2 or 4/2 only? I don’t know too much about multiclassing yet so guys help.