> On Oct 12, 2019, at 1:52 PM, 'Mike Day' via Programming 
> <programm...@jsoftware.com> wrote:
> 
> Sorry, I wasn’t considering trigrams in my off the cuff stuff,
> 
> Mike
> 

Thanks Mike (Day?). Can’t always tell with fourm replies until I reply…

I appreciate (and am still studying) your stuff, and learning a lot from all 
these exchanges.  I converted your reply to a script also, and so far have 
{with my comments enclosed like this}:

NB.> eg for Ric Sherlock’s example, modified for unequal sample sizes:
NB.> Apologies for non-alignment, as seen on iPad anyway.

NB. {Defs moved to front, earlier results commented, and expected to
NB. change -- due to ?, but kept to sompare shape and type.}
NB. {Still trying to understand the monad/duad stuff...}
NB. {Changed a couple of Nb.'s t0 NB.}

NB. absolute frequencies for one set
fr1 =: 3 : 0
y fr1~ /:~ ~. y
:
alf =. x
ser =. y
<:@#/.~ alf, ser
)
NB. relative frequencies for one set
rfr1 =: (%+/)@:fr1
NB. compare frequencies
cfr =: 3 : 0
y cfr~ /:~ ~.;y
:
alf =. x
sers=. y
alf&fr1 every y
)
NB. compare relative frequencies
crfr =: 3 : 0
y crfr~ /:~ ~.;y NB. Default base is sorted nub of all inputs.
:
alf =. x
sers=. y
alf&rfr1 every y
)
]'X Y'=: 'actg' {~ 2 30 ?@$ 4
tttgcctataaacaatgcagaccagcacgt
ggcttcaacgactccagagtcttgctgagt
NB.catctaagtcgataatccacttacttccgg
NB.cagcaaggacaggtgctaatacacactcgc
[X =: 'actg' {~ 40?@$ 4
attaggtgccgacagaagtggccaacctcatcgacaaagg
NB.ttagcacttccctcagagttacccacactagctggtgcag
[each NB. in Z?
[&.>
fr1 each X;Y NB. Absolute frequencies, using sorted nubs as base
+----------+-------+
|13 10 11 6|6 8 8 8|
+----------+-------+
NB.+---------+--------+
NB.|9 13 8 10|10 9 7 4|
NB.+---------+--------+
rfr1 each X;Y NB. Relative freqs
+---------------------+------------------------------+
|0.325 0.25 0.275 0.15|0.2 0.266667 0.266667 0.266667|
+---------------------+------------------------------+
NB.+--------------------+------------------------------+
NB.|0.225 0.325 0.2 0.25|0.333333 0.3 0.233333 0.133333|
NB.+--------------------+------------------------------+
NB. Comparisons
crfr X;Y NB. Absolute
0.325 0.25 0.275 0.15
0.2 0.266667 0.266667 0.266667
NB.9 13 8 10
NB.10 9 7 4
NB. load'~/user/temp.ijs'
crfr X;Y NB. Relative
0.325 0.25 0.275 0.15
0.2 0.266667 0.266667 0.266667
NB. 0.225 0.325 0.2 0.25
NB.0.333333 0.3 0.233333 0.133333
NB.You can supply your “alphabet” as Left argument..
'tagc' fr1 X NB. In your preferred order!
6 13 11 10
NB.10 9 8 13
NB.fns below sign off,{now moved to front}
NB.Mike
NB.
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