What is the Maximum Static plus to a Damage roll?

I’m currently building up a Lvl 20 Warlock to have the absolute Maximum static (by static I mean unrolled Damage) Damage in a Melee Attack.

A level 20 Hexblade Warlock with a 20 in Cha can have the following additions:

  • 20 Cha +5
  • Lifedrinker +5 (Cha Based)
  • Hexblade’s Curse +6 (Proficiency Base)
  • GWM +10
  • Weapon +3

This totals +29 Damage.

Outside of using Tomes to increase my Cha or getting the Legendary Item that increases Prof by 1, are there any other methods to increase flat damage that I don’t know of?

Multiclass, RAW, RAI, Errata, Jeremy Crawford tweets are all accepted, please just explain logically your opinion or facts and site your sources please!

Find the intervals where a piecewise is maximum

I have the following 3 piecewise functions and I would like to have the threshold of the upper envelope.

a = Piecewise[{{0.125 (0.1 + 0.1 (11.5 - 1 \[Beta])),      8 < \[Beta] < (11.4)}}] b = Piecewise[{{0.375 (0.1 + 0.1 (10.5 - 1 \[Beta])),      8 < \[Beta] < (10.4)}}] c = Piecewise[{{0.375 ((10.5 - 1 \[Beta])), (10.4) < \[Beta] < 12}}] 

enter image description here

In other words I would like to obtain the list {10.4,10.431}, Where 10.4 is the threshold between b and c (here there is no intersection between b and c) and 10.431 is the threshold between a and c (their intersection).

How to implement minimaztion of maximum regret?

We run a report, but for one of our big clients, it is taking too long. There is a loop where it loops for a list and fetches it upstream 1by1. We’re making this a bulk operation now, but some items in the list might be invalid and upstream don’t tell us which. I now need to silently handle the failures and remove them from the list and send the request again. I figured the best way to do this is to split the list and try again with a recursive function.

Having looked at the 2 egg problem, I wish to do the same here. I wish to minimize the number of requests to be made. That problem seems to use some quadratic function, I’m not familiar with those things or algorithms. Any help or ideas on how to implement this?

Ubuntu, jack, maximum priority for audio application

OS, apps and hardware info

Linux local 5.0.0-23-lowlatency #24-Ubuntu SMP PREEMPT Mon Jul 29 16:17:02 UTC 2019 x86_64 x86_64 x86_64 GNU/Linux jackdmp version 1.9.12 tmpdir /dev/shm protocol 8 Bitwig-studio version 3.0.1 USB2 Audio interface Tascam US16x02 

Question

Is possible run audio application with max priority for this application? For best performance and lowest latency without cruckling/buffer problem for audio application.

Situation

I reinstalled Ubuntu studio 19.04, update, upgrade, install DAW Bitwig studio 3.0.1, then install indicator-cpufreq (for changing my cpu to best performance).

Then I ran jackd in this configuration.

/usr/bin/jackd -dalsa -dhw:US16x08 -r44000 -p128 -n2 

I select in indicator-cpufreq applet Performance (for best performance), then checked via lscpu it is working.

Model name:          Intel(R) Core(TM) i7-7500U CPU @ 2.70GHz CPU MHz:             3455.159 CPU max MHz:         3500,0000 CPU min MHz:         400,0000 NUMA node0 CPU(s):   0-3 

Then I ran Bitwig studio. I tried do load some my older project.

Issue

When play the music in DAW, there are some crackling during the playing, and when I do something in DAW during playing (for example zooming or moving only), crackling is even worst.

Jackd log shows me many xruns.

I swear I had same configuration before reinstall OS and it was OK for this configuration, no crackling at all during playing even when working in DAW during playing or recording.

I tried install older versions of Ubuntu studio, no effect, crackling still present, same.

Why is now crackling due playing in DAW? Applet indicator-cpufreq changed to best performance, but seems not for DAW, no effect for CPU load in DAW when I selecting between Performance and Powersave in indicator-cpufreq, but lscpu shows me different CPU MHz.

What is the magic? Before I reinstalled OS, everything works fine. I found something about nice utility. Is it what I need to setup?

Thank you very much for any informations.

find a maximum parameter for a range of target eigenvalues as a function of matrix dimension

I have a symbolic tridiagonal matrix of this form

a = 0; c = 0.25; sa1[b_] :=SparseArray[{Band[{1, 1}] -> a,            Band[{2, 1}, {2 l, 2 l}] -> {I b/4, I c},            Band[{1, 2}, {2 l, 2 l}] -> {-I b/4, -I c}}, {2 l, 2 l}]; 

where a and c are fixed parameters, b>0 is a varying parameter and l is the rank of the matrix. By diagonalizing this matrix as a function of b, I can obtain the largest value for b, let’s say bmax, such that the absolute value of the eigenvalues is less than 1/10^5. Note that the eignevalues always appear in pairs by symmetry. To find bmax, I have employed the Arnoldi method which has been employed also in this thread

closestEVtotarget[b_?NumericQ, target_?NumericQ] :=    Abs[First@     Eigenvalues[sa1[N[b]], -1,       Method -> {"Arnoldi", "Criteria" -> "Magnitude",         "Shift" -> target}]]; With[{target = 1/10^5},    Plot[closestEVtotarget[b, target], {b, 0, 0.5},     GridLines -> {None, {target}}]]; With[{target = 1/10^5},    plot = Plot[{target, closestEVtotarget[b, target]}, {b, 0, 2}];    bmaxval = Graphics`Mesh`FindIntersections[plot]]; 

For instance for l=6, printing the bmaxval would be

{{0.185999,0.00001}} 

where bmax=0.185999. Now the question is how I can collect all bmax values for different even values of l, let’s say

llist = {4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26}; 

and plot l vs. bmax?

What is the maximum amount of PC-controlled undead

I decided to make an unreasonable demand from nearby town and to gain an advantage in upcoming dispute I want an undead horde reinforcing my arguments. I am not looking for quality (after all, those buffoons can’t tell skeleton from lich), but quantity.

My question is: how many undead creatures a Player Character can have under their control at the same time?

Constraints:

  • Only official WOTC content.
  • Small and larger undead only: it is hard to be intimidated by something you have to look for.
  • Target number should be able to be attained without explicit DM cooperation. No dozens of tomes thrown at character, no unlikely situations, no DM fiat (so no Boons, for example).
  • No Legendary magic items.
  • After attaining desired amount of undead, character should be able to sustain that amount for at least seven days.

What is the maximum amount of PC-controlled undead

I decided to make an unreasonable demand from nearby town and to gain an advantage in upcoming dispute I want an undead horde reinforcing my arguments. I am not looking for quality (after all, those buffoons can’t tell skeleton from lich), but quantity.

My question is: how many undead creatures a Player Character can have under their control at the same time?

Constraints:

  • Only official WOTC content.
  • Small and larger undead only: it is hard to be intimidated by something you have to look for.
  • Target number should be able to be attained without explicit DM cooperation. No dozens of tomes thrown at character, no unlikely situations, no DM fiat (so no Boons, for example).
  • No Legendary magic items.
  • After attaining desired amount of undead, character should be able to sustain that amount for at least seven days.

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