The NRS Formula

#1
Based on the following assumptions:

TC = (rc + A) / (N – L)

where

N = q^2(d – k) / [(q – k)^2 + k(d – k)]

r = -(N/q)[1 – (q – k)/(d – k)]

and

r = multiplier
c = running count of slug
A = normal running count (starting from zero off the top)
N = constant number of pseudo decks in the segment (`playzone')
L = number of decks so far dealt from the playzone
d = size of shoe
k = size of slug
q = size of playzone containing the slug


it strikes me the most complex part of this equation is to calculate N.

I have a simple question and wondered if anyone could shed any light:

How the hell do you calculate the value of N in your head at the table?

(I'm guessing at this point you already work out and memorise values for given scenarios..) :flame:

It seems impossible for the average joe to calculate that quickly enough!!!
 

iCountNTrack

Well-Known Member
#2
sp1n-d1zzy said:
Based on the following assumptions:

TC = (rc + A) / (N – L)

where

N = q^2(d – k) / [(q – k)^2 + k(d – k)]

r = -(N/q)[1 – (q – k)/(d – k)]

and

r = multiplier
c = running count of slug
A = normal running count (starting from zero off the top)
N = constant number of pseudo decks in the segment (`playzone')
L = number of decks so far dealt from the playzone
d = size of shoe
k = size of slug
q = size of playzone containing the slug


it strikes me the most complex part of this equation is to calculate N.

I have a simple question and wondered if anyone could shed any light:

How the hell do you calculate the value of N in your head at the table?

(I'm guessing at this point you already work out and memorise values for given scenarios..) :flame:

It seems impossible for the average joe to calculate that quickly enough!!!
You have to figure out your shuffle tracking scenario(s), go back to your room or car plug in the numbers and memorize the running count multiplier and effective shoe size (TC divisor).
Unless it is a scenario you have encountered before, you cannot simply jump to the table, you got to a little homework first.
 
D

Deleted member 3273

Guest
#3
Where does this discussion starts

I would like to know where this starts. I am looking to the beginning of this Thread, considering that this does apply upon CSM's

Thanks for you help
 
D

Deleted member 3273

Guest
#6
N = constant number of pseudo decks in the segment (`playzone')
L = number of decks so far dealt from the playzone

Dizzy, I am spinning cause could you explain me the playzone and L going along with it. When I meant ask for a beginning of the threath, me not knowing what the thought line is in the first place coming up with this and which type of machine CSM? you applying this.

I am going to Portugal eurozone and you are going to have only csm's main

Sincerely yours,

Stage11 proceeds.
 

RJT

Well-Known Member
#9
FLASH1296 said:

That site is a NON-RESOURCE.
Not worth the time/effort to register.
Care to validate that? The thread that Gramazeka linked to is to my mind pretty valuable and you don't need to register to read it.

RJT.
 

Gramazeka

Well-Known Member
#11
alienated

"Looking at the formulas for N, r and TC, it may seem that it would
be very difficult to use the NRS approach in practice. However, this
is not really the case. In particular, there is no need to make
complex calculations at the tables. We simply need to memorize a
small number of values for N and r that happen to be applicable to
the shuffle we face. Suppose in our present example that most
dealers (call them type I) cause our two deck slug to get mixed into
one half of the shoe (as we have so far assumed), but that a
minority (call them type II) instead cause a 1.5-deck slug to be
mixed into a 3-deck playzone. For this latter group of dealers, the
formulas indicate that N = 4.875 (which can be rounded
conservatively to 5) and r = –1.25. There is no need to calculate N
and r at the table. We simply memorize the relevant values. When we
see a type I dealer shuffling, we simply multiply our slug count by –
1 and treat the playzone as a 6-deck shoe. When we see a type II
dealer shuffling, we multiply our slug count by –1.25 and treat the
playzone as a 5-deck shoe.

Actually, in one important special case, it is even easy to
calculate N and r at the tables. This is the situation where the
playzone happens to be half the size of the shoe; i.e. q = (1/2)d.
In this case, the formula for N simplifies to N = d – k and the
value for r always equals –1 (so our IRC, equal to rc, is simply our
slug count with the sign reversed). Suppose we are best-half
tracking and we know that a 1-deck slug with count –7 is going to be
mixed with 3 other decks to form one half of the shoe. We can see
straight away that N = 7 (= 8 – 1) and that our IRC should be set to
+7."
 

blackriver

Well-Known Member
#12
Gramazeka said:
"Actually, in one important special case, it is even easy to
calculate N and r at the tables. This is the situation where the
playzone happens to be half the size of the shoe; i.e. q = (1/2)d.
In this case, the formula for N simplifies to N = d – k and the
value for r always equals –1 (so our IRC, equal to rc, is simply our
slug count with the sign reversed). Suppose we are best-half
tracking and we know that a 1-deck slug with count –7 is going to be
mixed with 3 other decks to form one half of the shoe. We can see
straight away that N = 7 (= 8 – 1) and that our IRC should be set to
+7."
i guess i use the cookbook style approach. i dont understand nrs all that well, havent really tried. but these nrs numbers dont make sense to me.

in plain english

you have counted a slug with 7 extra tens and aces. and now you take 3 decks from a 7 deck sample that is short 7 tens and aces or 1 per shoe. if you mix 3 decks that have a high card deficit of 1 each with a 1 deck slug with a 7 card surplus then it seems you should have a 4 deck play zone with a 4 high card surplus, not 7. is this where pseudo decks come from? mybe pseudo decks is the piece of the puzzle i dont get
 
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