In or with reference to the work of English mathematician J. J. Sylvester (1814–97): designating multiplication in which the product between two quantities denoted by the same letter but having different subscript indices is a quantity denoted by the same letter which has the sum of these indices as its index; (also) designating a product or function involving such multiplication.
In essence, zetaic multiplication treats the indices as if they were powers. For example, the product of a1 and a3 is a4, but the product of a1 and b3 is a1b3.
1840
Rule for zeta-ic multiplication. Note. An analogous interpretation may be extended to any zeta-ic function whatever.
J. J. Sylvester in London, Edinburgh, & Dublin Philosophical Magazinevol. 16 37
1840
I use the Greek letter ζ to denote that the product of factors to which it is prefixed is to be effected after a certain symbolical manner. This I shall distinguish as the zeta-ic product.
J. J. Sylvester in London, Edinburgh, & Dublin Philosophical Magazinevol. 16 37
1927
We have the determinant of the coefficients equal to the zeta-ic function.
Some consonants can take the function of the vowel in unstressed syllables. Where necessary, a syllabic marker diacritic is used, hence /ˈpɛtl/ but /ˈpɛtl̩i/.
Vowels
iːfleece
ihappy
ɪkit
ɛdress
atrap, bath
ɑːstart, palm, bath
ɒlot
ɔːthought, force
ʌstrut
ʊfoot
uːgoose
əletter
əːnurse
ɪənear
ɛːsquare
ʊəcure
eɪface
ʌɪpride
aʊmouth
əʊgoat
ɔɪvoice
ãgratin
ɒ̃salon
ᵻ(/ɪ/-/ə/)
ᵿ(/ʊ/-/ə/)
Other symbols
The symbol ˈ at the beginning of a syllable indicates that that syllable is pronounced with primary stress.
The symbol ˌ at the beginning of a syllable indicates that that syllable is pronounced with secondary stress.
Round brackets ( ) in a transcription indicate that the symbol within the brackets is optional.