GLOSSARY



adjoin
When the opening verses − the tetrons − are included as well.


adjoin versor
Versor corresponding to adjoin base verse.


alternating EP
Those verses with the same parity of their chps: the ENVs of the ECs and the ONVs of the OCs.


alternating OP
Those verses with the opposite parity of their chps: the ENVs of the OCs and the ONVs of the ECs.


antion
A set formed from the combination of EPN and OPK.


ascension
The ordinal positions of chapters based on their verses in ascending order. In case of ties, the smaller chapter takes precedence (lexicographic order).


base cept
The number of cepts of some versor.


base verse
The verse count of some chapter.


bijection
A 1-1 and onto map between two sets.


Cardinality
The number of elements in a set.


cept
Dual analog of verse in a versor. See also, versor.


C:m-n
The set of all chps with base verses between m and n inclusively, for 3 ≤ m < n ≤ 286. In other words, it is the union of isotupes C:i, for min. The BV's are subject to restriction and may not be contiguous over the range from m to n.


chain
A totally ordered set, where, any two element x and y are comparable: x ≤ y or y ≤ x.


complement
An involution reversing the handedness of a chapter.


conjugate
An involution reversing the handedness of verses/reves and duprims.


C:V
Verse V of chp C, where 1 ≤ C ≤ 114 and 1 ≤ V ≤ 286. The value of V cannot exceed the base verse corresponding to chp C.


declaration
The first instance in an initialed chapter where the set of initialed letters is introduced. It is always in verse one, with the exception of chapter 42, where the second verse is also a declaration. A declaration may be an entire verse or only part of the beginning of the verse.


diop
A set formed from the combination of EPK and OPN.


disjoint
Having no elements in common.


duprim
The symmetric half of a tecot containing one of the bounded tetrons and its handedness.


EC
Even numbered Chapter.


EE
Even numbered chapter with Even number of verses.


EO
Even numbered chapter with Odd number of verses.


EP
The chapter number and its verses are of Equal/Even Parity.


EPK
The overlap between the EP and the keon.


EPN
The overlap between the EP and the napen.


EV
Even Versed chapter.


EW
Even Versed chp, when the tetrons are also included in the count.


FC
Free Chapter.


F:n
All n-numbered FV's, 1 ≤ n ≤ 286.


free
As in free grame; grame = 0.


FV
Free Verse.


GC
Grame Chapter; grame ≥ 1.


Gn
Of grame n, 1 ≤ n ≤ 7.


GH
Gn, for grame n > 1 - Higher normed.


Gm:n
The set of all chapters which their verse n's are also Gm, for 1 ≤ m ≤ 7 and 1 ≤ n ≤ 286.

G:n
All chapters where verse n is a GV, 1 ≤ n ≤ 286.


grame
The frequency of the key word God. For verses it is always ≤ 7. GV's and GC's are of grames ≥ 1.


GV
Grame Verse; grame ≥ 1.


GW
Adjoin grame Verse.


IC
Initialed Chapter.


index
The ordinal position of a positive natural number > 1 within the sets of primes or composites. Since, 1 is neither prime nor composite, it forms a singleton with an index of 1.


KC
Keon Chp.


keon
The set of chps formed by the combination of the normal and the un-init chps. It has 57 elements and it's the complement of the napen.


lone base verse
A base verse that appears only once; assigned to only one chapter.


:n
All n-numbered verses, 0 ≤ n ≤ 286.


napen
The set of chps formed by the combination of the init and the free chps. It has 57 elements and it's the complement of the keon.


OC
Odd numbered Chp.


OE
Odd numbered chapter with Even number of verses.


OO
Odd numbered chapter with Odd number of verses.


OP
The chp number and its verses are of Opposite/Odd Parity.


OPK
The overlap between the OP and the keon.


OPN
The overlap between the OP and the napen.


ord
The ordinal position of a chapter within the sets of initialed or un-initialed chapters.


OV
Odd Versed chapter.


OW
Odd Versed chp, when the tetrons are also counted.


partition
The splitting of a set into mutually disjoint subsets called blocks, whose union is the original set.


quartet
The four sets EPK, OPK, EPN, OPN.


recurrent base verse
A base verse that appears several times; assigned to more than one chapter.


reve
The counterpart of a verse. In a duprim, it is the offset from the tetron.


rorrim
The operation of adjoin mirror followed by basic mirror.


tecot
The partition of verses into cycle under rorrim. Each block is bounded symmetrically by a pair of tetrons.


tetric
A partition of chapters into four blocks with sizes, two pairs of 27 and 30.


tetron
The distinguished phrase which serves as the opening verse in all chps except for 1 and 9. In chp 1, it is verse one, and in chp 9 it is absent, where, it is compensated in chp 27, in which it appears both as the opening verse, and additionally, as the last part of verse 30. As an opening verse it is always unnumbered.


UC
Un-initialed Chapter.


versor
Dual analog of chapter, consisting of cepts. The versor n has its cepts, the n-numbered verses from chapters containing them. It is also represented as :n. The versor and cept are the symmetric counterpart of chapter and verse pair, where the roles are reversed.