Does Wild Companion ignore the 1 hour cast time of Find Familiar?

Druid Optional class feature in Tasha’s Cauldron of Everything, Wild Companion, states:

You gain the ability to summon a spirit that assumes an animal form: as an action, you can expend a use of your Wild Shape feature to cast the find familiar spell, without material components.
When you cast the spell in this way, the familiar is a fey instead of a beast, and the familiar disappears after a number of hours equal to half your druid level.

Find Familiar states:

Casting Time: 1 hour
Range: 10 feet
Components: V S M (10 gp worth of charcoal, incense, and herbs that must be consumed by fire in a brass brazier)

Does this mean that a level 2 Druid has to spend 1 hour to get a Familiar for 1 hour? Does this mean that the Druid can cast a Familiar much faster than a Warlock can?

Filter records and find those with minimal date

I have the following tables in Microsoft SQL Server:

  1. Users: Includes uID (primary key), birthDate, name
  2. Conversations: Includes convID (primary key), hostID (foreign key for uID in Users)
  3. Participants: Includes uID (foreign key for uID in Users), convID (foreign key for convID in Conversations).

I need to write a query which finds the name, ID and birth date of the oldest user who didn’t participate in any conversation, and that his name contains the letter ‘b’. If there is more than one user, I need to return all of them.

I don’t know how to both filter the users, and than find those with the minimal birth date (the oldest).

After death & reincarnation does a wizard need to recast Find Familiar? Does he or she get the previous one or a ‘new’ one?

A wizard dies – but his familiar escapes unharmed. He &/or she (the wizard) is Reincarnated, via the spell. He &/or she gains a new race with new abilities. Basic skills, proficiencies, physical (Str / Dex / Con) and psychological abilities (Int / Wis / Cha) all change as RAW dictates (‘its complicated’).

He &/or she had a familiar previous to death. The familiar survived, as noted, as he &/or she &/or it (possibly spayed?) was off on an errand and did not die.

What happens upon wizard seeking his &/or her familiar?

Does the wizard need to re-cast Find Familiar? If he &/or she does (&/or does not), does this wizard gain the same old shape (fae, celestial, fiend) & style (possibly spayed?) familiar as previous – or is it a brand-spanking-new fresh off the press familiar out of the Outer Planes?

Repeat of Question: Wizard has familiar. Wizard dies YET familiar is okay. Wizard gains a new body. Wizard must re-cast Find Familiar: yes / no? Wizard gets a NEW familiar, yes / no?

Does a ghost gain a familiar if it uses a Ring of Spell Storing + Find Familiar?

A ghost takes possession of a humanoid. Humanoid possesses a Ring of Spell Storing. The ghost uses the Ring of Spell Storing that contains at least one Find Familiar spell. The ghost-humanoid combination now has a familiar (congratulations)!

Ghost leaves / ends possession / then goes to the Border Etherial, as per RAW

Who does the familiar follow? Does it stay with the physical humanoid / ring combo-duo or does it go with the ghost that first leaves the body and then goes off to another plane of existence?

How to find efficiently all positive linear dependencies between some vectors

I’ve got these vectors

vecs= {{0,1,0,0,0,0,0,-1,0},    {1,-1,1,0,0,0,-1,1,-1},  {1,0,-1,1,0,-1,1,0,-1},  {1,0,-1,1,0,0,-1,0,1},   {1,0,0,-1,0,1,0,0,-1},   {1,0,0,-1,1,-1,1,-1,1},  {1,0,0,0,-1,0,0,1,0},    {-1,0,1,0,0,-1,1,0,-1},  {-1,0,1,0,0,0,-1,0,1},  {-1,1,-1,1,-1,1,0,0,-1}, {-1,1,-1,1,0,-1,1,-1,1}, {-1,1,0,-1,0,1,0,-1,1},   {-1,1,0,-1,1,-1,0,1,0},  {0,-1,0,0,1,0,0,0,-1},   {0,-1,0,1,-1,1,0,-1,1},  {0,-1,0,1,0,-1,0,1,0},   {0,-1,1,-1,0,1,-1,1,0},  {0,0,-1,0,0,0,1,0,0}} 

And I would like to find all linear dependencies with positive coefficients between them. I started with

ns = NullSpace[Transpose[vecs]]  

which gave me

{{2,2,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,3},  {2,-1,2,0,-1,0,0,0,0,0,0,0,0,0,0,0,3,0},   {2,-1,-1,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0},  {1,1,1,0,1,0,0,0,0,0,0,0,3,0,3,0,0,0},   {2,-1,-1,0,-1,0,3,0,0,0,0,0,0,3,0,0,0,0}, {-1,2,2,0,-1,0,0,0,0,0,0,3,0,0,0,0,0,0},   {-1,2,-1,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0},  {-1,2,-1,0,-1,3,0,0,0,3,0,0,0,0,0,0,0,0},   {-1,-1,2,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0},  {-1,-1,-1,3,2,0,0,3,0,0,0,0,0,0,0,0,0,0}} 

so there is one linear dependence with nonnegative coefficients (the fourth one). To check whether there are others, I made a system of inequalities with

ineqs = Simplify[Union[Map[# >= 0 &, Table[x[k], {k, Length[ns]}].ns]]] 

which returns

{x[1]>=0,x[2]>=0,x[3]>=0,x[4]>=0,x[5]>=0,x[6]>=0,x[7]>=0,x[8]>=0,x[9]>=0,x[10]>=0,  2 x[1]+2 x[2]+2 x[3]+x[4]+2 x[5] >= x[6]+x[7]+x[8]+x[9]+x[10],  2 x[1]+x[4]+2 (x[6]+x[7]+x[8])   >= x[2]+x[3]+x[5]+x[9]+x[10],  2 x[2]+x[4]+2 (x[6]+x[9])        >= x[1]+x[3]+x[5]+x[7]+x[8]+x[10],  2 x[3]+x[4]+2 (x[7]+x[9]+x[10])  >= x[1]+x[2]+x[5]+x[6]+x[8]} 

but my notebook runs out of memory on both Solve[ineqs] and Reduce[ineqs].

What is the proper way?

Where do I find the length of the seasons in Rokugan?

Rokugan has a rather large canon lore, and I am a little dumbstruck when trying to sift through all of them for the information I seek about the climate of Rokugan.

In particular, I try to find out when the seasons are changing, and if Rokugan does feature a "rainy season" like Japan, which is kind of an addition to in between Spring and Summer there. For example, the year 2019/20 has the following dates for its seasons in Kyoto Area:

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Will loot you find on the astral plane while using astral projection remain when you leave it?

While under the effect of astral projection you have an astral body which has the following rules:

Your astral body resembles your mortal form in almost every way, replicating your game statistics and possessions.

I don’t think that you keep stuff if you pick it normally because the following lines (but please correct me if I’m wrong).

Any damage or other effects that apply to it have no effect on your physical body, nor do they persist when you return to it.

It doesn’t specifically say that you cannot pick up loot and take it with you, but it differentiates the astral form from the physical form in a way that they are in no way connected (except the cord).

But, my possessions are being replicated, also my bag of holding. If I pick something up in the astral plane and put it into my bag of holding, will it remain in there when I return to my physical body?

Can a familiar from the Find Familiar spell use a Ring of Spell Storing?

Based on other similar questions, I’ve determined that a familiar can attune to magic items. But can a familiar cast spells from the Ring of Spell Storing? The description of Find Familiar states "A familiar can’t attack, but it can take other actions as normal." Does this mean if it could cast spells, it could only cast non-attacking spells?

Where can I find more information about the Cat Lord?

I’m writing my own D&D universe and there are two deities I’ve chosen from the official setting to incorporate: Lolth and the Cat Lord

The Cat Lord seems to be depicted as a deity for the Tabaxi in Volo’s Guide to Monsters. I’ve tried to find more information about the church of the Cat Lord, how they work, their beliefs etc. but I haven’t found anything.

Where can I find more information about the Cat Lord, especially focusing on mortal worshipers (organization & hierarchy, rituals, worldview, etc.)?