antisymmetric
"antisymmetric" is a 13-letter English headword indexed on PlainSpell.
The verdict
“antisymmetric” is uncommon English (outside the top frequency list), classed as an adjective. The kind of spelling people second-guess.
- Unranked
- below top-frequency English
- 13
- letters
According to Wiktionary data (CC BY-SA, analyzed September 3, 2026) - Having the property that, for any two distinct elements of S, at least one is not related to the other via R; equivalently, having the property that, for any x, y ∈ S, if both xRy and yRx then x=y.
Corpus desk
Index EN-antisymmetric · antisymmetric · English
antisymmetric · unranked · 0 variants · 0 confusables
- FREQ-UNRANKED Unranked
- LEN-MEGA 13 letters
- VOW-5 5 vowels
- CONFUS-0 No pairs
- VAR-0 0 variants
- BOOK-THIN "A" thin
- PHOTO-UNK Peer pending
Read with this headword: Spelling guide for this pattern
Desk codes from Wiktionary headword shape, FrequencyWords rank tier, confusable-pair count, generated misspelling depth, letter-cohort book size, and photo-finish peer. Not a difficulty grade.
| Property | Value |
|---|---|
| Headword | antisymmetric |
| Language | English |
| Part of speech | Adjective |
| Letters | 13 |
| Misspellings tracked | 0 |
| Confusable pairs | 0 |
| Source | Wiktionary (kaikki.org) |
Long-tail rank of “antisymmetric” in English
Rare enough to double-check
antisymmetric is uncommon English outside the top frequency list, classed as anadjective. Rarity is why readers land here mid-draft. 4 senses are on record.
No generated misspelling entries exist for antisymmetric in our index, which points to an orthography that plays by predictable English rules. No close-neighbour confusable shows up for this headword in our dataset, since nothing in our dataset looks or sounds close enough to cause mix-ups.
Etymologically, the entry records: From anti- + symmetric. The correct English form is antisymmetric, spelled A-N-T-I-S-Y-M-M-E-T-R-I-C.
Definition
- 1Having the property that, for any two distinct elements of S, at least one is not related to the other via R; equivalently, having the property that, for any x, y ∈ S, if both xRy and yRx then x=y.
- 2Whose sign changes on the application of a matrix transpose or some generalisation thereof:
- 3Whose sign changes on the application of a matrix transpose or some generalisation thereof:
- 4Whose sign changes on the application of a matrix transpose or some generalisation thereof:
Recorded use
Wiktionary examplesThese source excerpts show how antisymmetric appears in context. They illustrate usage; the definition above remains the entry’s reference meaning.
1987, David C. Buchthal, Douglas E. Cameron, Modern Abstract Algebra, Prindle, Weber & Schmidt, page 479, The standard example for an antisymmetric relation is the relation less than or equal to on the real number system.
(i) The identity relation on a set A is an antisymmetric relation. (ii) Let R be a relation on the set N of natural numbers defined by x R y #92;Leftrightarrow 'x divides y' for all x, y ∈ N. This relation is an antisymmetric relation on N.
Etymology
From anti- + symmetric.
Synonyms
This word in other languages
Definitions, pronunciation, and etymology for this entry are drawn from Wiktionary via the kaikki.org structured extract (CC BY-SA). See the methodology for how each field is sourced and updated.