zeta-ic, adj.

zeta-ic
http://www.oed.com/dictionary/zeta-ic_adj%3Ftab%3Dmeaning_and_use
Revised 2018

# † zeta-icadjective

## Factsheet

### What does the adjective zeta-ic mean?

There is one meaning in OED's entry for the adjective zeta-ic. See ‘Meaning & use’ for definition, usage, and quotation evidence.

This word is now obsolete. It is last recorded around the 1920s.

### How is the adjective zeta-ic pronounced?

#### British English

/ziːˈteɪɪk/

### Where does the adjective zeta-ic come from?

Earliest known use

1840s

The earliest known use of the adjective zeta-ic is in the 1840s.

OED's earliest evidence for zeta-ic is from 1840, in the writing of James Joseph Sylvester, mathematician.

### Nearby entries

1. zest, int. 1705–22
2. zester, n. 1963–
3. zestful, adj. 1797–
4. zestfully, adv. 1843–
5. zestiness, n. 1912–
6. zesty, adj. 1826–
7. zeta, n.¹?a1425–
8. zeta, n.² 1706–1860
9. zetacism, n. 1860–
10. zeta function, n. 1879–
11. zeta-ic, adj.1840–1927
12. zeta potential, n. 1927–
13. zetetic, adj. & n. 1645–
14. zetetical, adj. & n. 1646–
15. zetetically, adv. 1665–
16. Zetetical Society, n. 1881–
17. zetetics, n. 1843–
18. Zetland, n. 1577–
19. Zetlander, n. 1614–
20. Zetlandic, adj. 1701–
21. zetta-, comb. form

## Meaning & use

Mathematics (Obsolete rare).

1. 1840–1927
   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.
   1. 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 Magazine vol. 16 37
   2. 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 Magazine vol. 16 37
   3. 1927

      > We have the determinant of the coefficients equal to the zeta-ic function.

      American Journal of Mathematics vol. 49 519
   mathematics
   1. interscendent 1796–
      Applied to expressions or equations involving incommensurable quantities in the exponents; regarded as being intermediate between algebraic and tran…
   2. symmetrical 1816–
      Mathematics. Applied to an expression, function, or equation whose value is never altered by interchanging the values of any two of the variables…
   3. zeta-ic 1840–1927
      In or with reference to the work of English mathematician J. J. Sylvester (1814–97): designating multiplication in which the product between two…
   4. associative 1844–
      Mathematics. Governed by or stating the condition that where three or more quantities are connected together by operators, the result is…
   5. discriminantal 1852–
      Of or relating to a discriminant (discriminant, n. B.1); constituting a discriminant.
   6. symmetric 1853–
      = symmetrical, adj.
   7. discriminant 1870–
      Mathematics. Designating an algebraic expression that gives information about another expression; spec. designating (a) one that implies whether or…
   8. idempotent 1870–
      Of a quantity or element a: having the property that a × a = a, where × represents multiplication or some other binary operation; (of an operator or…
   9. interscendental 1873–
   10. bilinear 1886–
       Linear in two ways; chiefly in Mathematics: linear and homogeneous in each of two sets of independent variables. Also absol., a bilinear form.
   11. non-trivial 1901–
       Mathematics. Such that not all variables or terms are zero or equal to an identity.
   12. left 1926–
       Mathematics. Designating a mathematical structure whose defining relations are expressed in such a way that certain distinguished elements appear to…
   13. right 1930–
       Mathematics. Designating an entity whose definition involves a pair of elements in a conventionally defined order, opposite to that designated as…
   View in Historical Thesaurus

## Pronunciation

### British English

/ziːˈteɪɪk/

####

##### Consonants

- ppea
- ttea
- kkey
- bbuy
- ddye
- ɡguy
- tʃchore
- dʒjay
- ffore
- θthaw
- ssore
- ʃshore
- vvee
- ðthee
- zzee
- ʒbeige
- xloch
- hhay
- llay
- ɬrhingyll
- rray
- wway
- jyore
- mmay
- nnay
- ŋsing

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.

View the pronunciation model here.

Originally published as part of the entry for zeta, n.¹

zeta, n.¹ was revised in June 2018.