## Is it true that if L* is recursive, L is also recursive?

I know that the opposite direction is true but i don’t know how to prove this one.

## A Netrunner using a stealth program, apply the stealth effect only to his icon or also to all his programs active in the Netmap?

When the netrunner is in a cell of the netmap, and run program "invisibility" for instance, do the other programs launched by netrunner will be invisible as well? Or only the Netrunner "icon" will be invisibile?

## Does losing the use of a feat also prevent the use of feats that have that feat as a prerrequisite?

I’ve seen many similar questions but I’ve not seen this exactly answered.

Let’s say that I’m rolling a 10 Int character and gets a temporary buff to Int by an item that let’s him pick Combat Expertise. Sometime after, he picks the item again on a level up and picks Karmic Strike. If he loses the Int bonus, aside from the use of Combat Expertise, does he also lose the use of Karmic Strike due to losing the use of Combat Expertise?

## As a player, how can I avoid stifling new players but also avoid letting things stall?

I have just started a Cyberpunk campaign. 2 of us are experienced RPG-ers, 1 hasn’t played in about 10 years and the other 2 are complete newbies. The GM is not new to RPGs, but is new to Cyberpunk, and this is his first time as GM.

Both myself and the lapsed player have Cyberpunk experience; everyone else is brand new.

My character is a Solo, the only one in the group. My backstory is that I have no personal memories from beyond 6 months ago, but I do remember a lot of “stuff” (how to shoot and fight, history of the world, some local knowledge etc).

The other experienced player is a Netrunner whose personality is that of a weak, sniveling coward who tries to stay out of the way as much as possible if he isn’t hacking.

We have run 2 sessions, and I am finding that I am naturally leading the group – partly because this first mission came from an NPC fixer to me and the other players happened to be around and also looking for work allowing me to put a crew together. I am trying my hardest not to direct the new players’ characters too much and give them a sense of agency to make there own choices, to the point of telling the crew in-game that I am not a leader – I shoot and I kill – but I have so far found myself being put in a position to lead every scene and conversation by the other players, both in and out of game.

The other experienced role-player is playing his role really well, so he allowing himself to be led, becoming distracted and not coming up with many ideas. The ideas he does come up with, he feeds through me, due to the fact that in-game we have known each other the longest and I have protected him the last 3 months.

The lapsed player is a Nomad, as is one of the first-timers. The other first-timer is a Rocker and, to my mind, has the stats that should be leading most conversations; she just doesn’t know at the moment what to ask or do.

Since I’ve never been in a group with such inexperienced players, what techniques can I use as a player to help the new players get a sense that they can come up with ideas and choices? The last thing I want to be is “that player” who makes all the decisions and chooses the route we take, but at the moment, the players are leaning very much on me.

Should I maybe have a chat with the other experienced player and suggest he change his approach slightly to allow him to take a more direct role in making suggestions, so that at least it isn’t all coming from me?

An added complication is that currently we are having to all play online, so we have the vagaries of webcam chat to deal with, which might be stifling things a little more.

How can I ensure that these new players don’t get bored within a few sessions and feel that all they are doing is making up the numbers for dice-rolling in combat?

## context-free language : if yx belongs to cfl then xy is also cfl

I faced a problem. What is the proof to say that if yx is in a Context-Free Language we can say that xy is also in a context-free language.

C is a Context-Free Language.

I think we can use the PDA defining C and edit final states.

Any ideas? thank you.

## Can I Quicken a cantrip to cast it twice in a turn and also use Twinned Spell on both castings?

I’m currently building a monk sorcerer who uses melee spell attacks, notably the cantrip Shocking Grasp. Can I use the Quickened Spell Metamagic option to cast the spell as a bonus action and then use the Twinned Spell Metamagic option to attack an additional enemy, then use Shocking Grasp again as my action and use Twinned Spell again to attack both enemies a second time?

## Is the damage to the second target from the Green-Flame Blade cantrip also doubled on a critical hit?

I’m thinking of a concept of a spellcaster that fight in melee from the moment I re-read the “blade” cantrips (green-flame blade and booming blade), and realized that they can deal a lot of damage. Long story short, I re-read the Assassin subclass, and was thinking about how they interact with critical hits.

If it is obvious that the secondary damage from booming blade doesn’t care about whether or not the initial attack was a critical hit, but how about green-flame blade (which basically gives you an automatic hit on another enemy)? How does green-flame blade‘s secondary damage interact with critical hits?

If I get a critical hit on the attack roll of green-flame blade, is the number of damage dice doubled for the damage to both targets? Or does it only double the damage dice for the first target?

## Using ScalingFunctions to ListPlot data in specific range and also to print FrameTicks with appropriate precision, gives strange fluctuations

Through the following code, we generate Tp1:

In[1]:= tempPV = (   3 \[Pi]^(2/3) + 6 6^(2/3) P \[Pi] V^(2/3) -     6^(2/3) V^(     2/3) (-3 + Sqrt[       9 + (4 6^(2/3) \[Pi]^(4/3) q^2)/(        V^(4/3) \[Beta]^2)]) \[Beta]^2 +     3 6^(2/3) V^(     2/3) \[Beta]^2 Log[      1/6 (3 + Sqrt[         9 + (4 6^(2/3) \[Pi]^(4/3) q^2)/(V^(4/3) \[Beta]^2)])])/(   6 6^(1/3) \[Pi]^(4/3) V^(1/3));  In[2]:= \[Beta]in = 0.01; \[Beta]fi = 100; \[Beta]st = 0.005; Table[   xlog[\[Beta]] = Log[10, \[Beta]]   , {\[Beta], \[Beta]in, \[Beta]fi, \[Beta]st}];  In[6]:= parap1 = {q -> 0.1, V4 -> 5000}; parap2 = {T2 -> 15, q -> 0.1, V2 -> 10000}; parap4 = {T4 -> 5, q -> 0.1, V4 -> 5000};  In[9]:= Table[    pressp2[\[Beta]] =     P /. Solve[(tempPV - T2 == 0) /. V -> V2 /. parap2, P][[1]];(*p1=   p2*)   pressp4[\[Beta]] =     P /. Solve[(tempPV - T4 == 0) /. V -> V4 /. parap4, P][[1]];(*p3=   p4*)   Tp1[\[Beta]] =     T1 /. Solve[(tempPV - T1 == 0) /. V -> V4 /. parap1 /.         P -> pressp2[\[Beta]], T1][[1]];   , {\[Beta], \[Beta]in, \[Beta]fi, \[Beta]st}];  In[10]:= mi =   Min[Table[Tp1[\[Beta]], {\[Beta], \[Beta]in, \[Beta]fi, \[Beta]st}]] ma = Max[Table[    Tp1[\[Beta]], {\[Beta], \[Beta]in, \[Beta]fi, \[Beta]st}]]  Out[10]= 11.9083  Out[11]= 11.9083  In[12]:= ListPlot[  Table[{xlog[\[Beta]],     Tp1[\[Beta]]}, {\[Beta], \[Beta]in, \[Beta]fi, \[Beta]st}],   ScalingFunctions -> {Rescale[#, {mi, ma}, {0., 1.}] &,     Rescale[#, {0., 1.}, {mi, ma}] &}, Joined -> True, Frame -> True,   FrameStyle -> Black,   BaseStyle -> {FontSize -> 14, PrintPrecision -> 11},   FrameLabel -> {"\!$$\*SubscriptBox[\(log$$, $$10$$]\) (\[Beta])",     "\!$$\*SubscriptBox[\(T$$, $$1$$]\)"}, RotateLabel -> False,   PlotStyle -> {Blue, Thickness[0.006]},   PlotRange -> {{-2, 2}, {mi, ma}}, Axes -> None, AspectRatio -> 0.8,   ImageSize -> 400, FrameTicks -> {{ticks, None}, {Automatic, None}}]  

The result is the following plot:

As it is clear there is a strange fluctuation for $$log_{10}^{\beta}=1-2$$. As it should be a smooth decreasing plot, what is the origin of these fluctuations? How to fix this possibly numerical error?

## Can I use a Quarterstaff as an Arcane Focus (Staff)?

In my opinion it would make sense.

They both even have the same weight!

The reason I’m asking this is because I’m making a wizard and it would be awesome if the answer to this question is yes!

## Can I use the Samurai fighter’s Fighting Spirit feature to make a Sneak Attack if I am also multiclassed into rogue?

I’m thinking about playing a fallen samurai in a D&D 5e campaign.

If the character multiclasses into rogue, can the Samurai fighter’s Fighting Spirit feature be used to trigger the rogue feature Sneak Attack?