Klryz
Pronunciation guide: IPA symbols, stress and word endings

Vowels

iːseeɪsite / ɛbedæcat
ɑːfatherɒhot (UK)ɔːlawʊput
uːtooʌcupɜːbirdəabout
eɪdayaɪmyɔɪboyaʊnow
əʊ / oʊgo (UK / US)ɪəneareəhairʊətour

Consonants that look unusual

θthinðthisʃsheʒmeasure
tʃchurchdʒjudgeŋsingjyes

p b t d k g f v s z h m n l r w sound as in ordinary English spelling.

Marks

  • ˈ main stress, before the stressed syllable: /ˈwɔːtə/ water · ˌ lighter (secondary) stress: /ˌʌndəˈstænd/ understand
  • ː a long vowel · (r) an r said only in accents that pronounce it (most American, Scottish, Irish)

Common word endings

  • -s / -es (plurals; he/she form of verbs): /s/ after voiceless sounds (cats), /z/ after voiced (dogs), /ɪz/ after s, z, sh, ch, j sounds (buses, watches). Spelling: -es after s, x, z, ch, sh; consonant + y → -ies (city → cities).
  • -ed (past): /t/ after voiceless sounds (walked), /d/ after voiced (played), /ɪd/ after t or d (wanted). Spelling: love → loved, stop → stopped, carry → carried.
  • -ing: make → making, run → running, see → seeing.
  • Irregular: go, went, gone · be, was, been · see, saw, seen · man → men · child → children · mouse → mice.
  • Older (King James) forms: -eth = -s (he loveth = he loves) · -est with “thou” (thou lovest) · spake = spoke.

English Dictionary · 107,383 entries · Sources & licences

direct sum

noun

Forms direct sums

  1. noun (mathematics) coproduct in some categories, like abelian groups, topological spaces or modules
  2. noun (linear algebra) A linear sum in which the intersection of the summands has dimension zero. Equivalently, a linear sum of two subspaces, any vector of which can be expressed uniquely as a sum of two vectors: one vector belonging to the first subspace, and the other vector belonging to the second subspace.
  3. noun (linear algebra) A block diagonal matrix interpreted as having its non-zero blocks (which are square matrices) as summands.

Sources: Wiktionary — from the Wiktionary entry “direct sum”, CC BY-SA 4.0. Details