What non-component materials are required for wizard spells?

I am currently playing a wizard, and trying to plan ahead. I am making the assumption that all published spells are common and known to him, so while he cannot cast them yet, he is aware of them all, and how they work.

As such he is planning ahead, trying to gather whatever he can to make those spells work when (if) he ever learns to cast them.

Examples:

Scrying (Divination, level 4)

Items belonging to a potential target: likeness or picture; possession or garment; body part (lock of hair, nail etc)

Teleport (Conjuration, level 7)

Items from a location: associated object taken within the last 6 months

Dream (Illusion, level 5)

Items belonging to a potential target: body part (lock of hair, nail etc)

Infernal calling (Conjuration, level 5)

Items belonging to a devil: talisman

Animate dead (Necromancy, level 3)

Something to animate: pile of bones; corpse of a medium or small humanoid

I have been through all the spells that I can find, but my question is: are there any items I have missed that are not material components, but have a specified positive effect on the spell in the same way as the above items.

I only care about the wizard spell list using all official sources (including optional spells such as from TGtE and dunamancy from EGtW).

Is the brass brazier required for find familiar?

When spell components are consumed or have a cost, they need to be provided and cannot be substituted by a spellcasting focus. The find familiar spell has such components:

10 gp worth of charcoal, incense, and herbs that must be consumed by fire in a brass brazier

Now obviously the charcoal, incense and herbs have to be provided as they have cost and are consumed. However what about the brass brazier? Does the caster have to provide that as well, as there are components that have to be provided and they directly interact with the brazier? It doesn’t logically seem like something a component pouch could replace, mostly those things are some small items. On the other hand it seems unreasonable to carry a brass brazier around, sounds heavy.

Can the Suggestion to “sleep” during combat *ever* be “reasonable” as required by the spell? [closed]

The question “NPC casting Suggestion on PC: who decides it's reasonable?” gets at the issue of who decides what is reasonable when a Suggestion spell is cast.

Other questions try to get at “How do I decide what is a "reasonable" Suggestion?” – but the level of abstraction of the discussion seemed to leave it as relying on too much opinion to have an allowed answer.

As a result, we are attempting to ask a question on Suggestion for a specific scenario to see if a more definitive answer can be reached.

We recently faced a band of five Yuan-ti which can cast Suggestion 3x per day. The DM used this cache of fifteen Suggestion spells to tell our party over multiple rounds to “sleep” in order to capture us. It was overwhelming. We didn’t have enough Counterspells and Dispel Magic spells to resist.

In an upcoming session, our party is soon going to enter the Yuan-ti’s lair. It is almost inevitable we will face this tactic again with even more Yuan-ti with even more Suggestion spells. In some ways, we were lucky last time because the Yuan-ti let us escape. This time, they won’t let us live. There is a risk of a TPK.

Suggestion as a spell says that the action must be considered reasonable.

Is the Suggestion to “sleep” during combat ever reasonable? Technically a PC probably cannot fall asleep at will – so the PC will simply try to sleep – but the effect is the same in that they are taken out of combat.

Adding to that risk is the inability to reverse it even if the risk increases. Jeremy Crawford has ruled that the suggestion only has to be reasonable at the time it was cast. Thus the PC will be trying to get to sleep until they can for up to the next eight hours (see Sage Advice).

Is there agreement that Suggestion can always be worded in such a way that it is reasonable for a PC (or NPC) to be taken out of combat (i.e. despite definite risk to life and limb) by trying to sleep?

Or is there agreement that in all cases where a clear connection between definite risk to life and limb can be drawn that a Suggestion to try to sleep is not reasonable? (In which case – we can rule out that “sleep” is a reasonable Suggestion during combat.)

What are all of the ways to decrease the amount of sleep required other than race/class features and the ring of sustenance?

Beyond the class features, racial traits, and feats that reduce the amount of sleep required for a long rest to 4 hours and the ring of sustenance that halves it I can’t find any other ways to reduce the amount of time required.

Did I miss annything?

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Plotting a well defined function displays nothing for two-thirds of the range required

The plot in question concerns the second derivative of an inverse Laplace transform (ILT) of a function with five parameters. Here is the ILT

ClearAll["Global`*"] prod = (s - cr1) (s - cr2) (s - cr3) (s - cr4); LW = (1 + s)^2/(si prod); Print["symbolic W'=", Wp = D[InverseLaplaceTransform[LW, s, x], x]] 

Four parameters are functions of the fifth parameter "si", defined as the roots of a fourth order equation

cr = {cr1, cr2, cr3, cr4} =     s /. Solve[si s^2 + 107 s/5 + 10 ((1 + s)^(-2) - 1) - 1/10 == 0,       s]; 

Plotting the first derivative of the ILT takes .64

lx = 13; Timing[  pd = Plot[Evaluate[Wp /. si -> 1], {x, 0, lx},     PlotRange -> {{0, lx}, {0.0225, .0275}}]] 

Plotting of the second derivative of the ILT takes 14.84 and displays nothing for two-thirds of the range lx

    Wd = D[Wp, x]; Timing[Plot[(Wd /. si -> 1), {x, 0, lx},   PlotRange -> {{0, lx}, {-0.002, .002}}]] 

Speeding up the Rummikub algorithm – explanation required

Regarding this question: Rummikub algorithm.

I was reading the first part of the solution in the posted answer (specifically, when there are no jokers involved, all tiles are distinct and only four colours are involved). Then, I reached the part in which the says that the algorithm runs in $ O(ABCD(A+B+C+D))$ time, which is easy to determine why.

However, he the goes on to saying that we can speed up the algorithm so as to run in $ O(ABCD)$ time by changing "the recurrence to ensure this occurs only once while maintaining correctness, which leads to $ O(1)$ time for every ‘cell’ in the DP-table".

My problem is: I do not see how this can be done. I have tried playing around a bit with the recurrence, but I do not see how it can be modified, or what else we should keep track of so that we can speed up the time.

Why is the ‘Integrity’ property required in consensus protocols?

Formally a consensus protocol must satisfy the following three properties:

Termination

  • Eventually, every correct process decides some value.

Integrity

  • If all the correct processes proposed the same value "v", then any correct process must decide "v".

Agreement

  • Every correct process must agree on the same value.

"Termination" certifies the protocol is resilient to halting failures. "Agreement" deters any two correct processes from deciding on different values which would break consensus. But what about "Integrity", why is it required? If all correct processes propose "x" but then they all decide "y" (e.g. f(x) = y), is that a violation of consensus?

What are the details surrounding the brass brazier required for the Find Familiar spell?

In our campaign, I play a warlock and brass braziers are hard to come by. I want to carry a brass brazier in case my familiar dies and I need to again cast find familiar.

  1. How bulky is a small brass brazier? Can it be carried for several weeks without hindering long distance foot travel? That is, because of its shape or weight, does the typical brass brazier reduce my speed?
  2. What’s the price of a small, simple brass brazier?
  3. How long would it take a brass worker to make a small, simple brazier? How long would it take the brass worker to make one specifically designed to be eminently portable? In both cases, assume the brass worker works nonstop exclusively on the brazier.

What I’m looking for are references, similar cases, and information that can help handle these issues properly and accurately. First and foremost in D&D 5e (especially RAW) and then other RPGs and even real world, if they could be used to make estimates about the answers to these questions when we compare how similar cases translate to D&D 5e mechanics.