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The set of real numbers is closed under addition.
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Vocabulary list

jissuu
noun, no adjective
  1. real number
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no
particle
  1. indicates possessive (occasionally ん, orig. written 乃 or 之)
  2. nominalizes verbs and adjectives
  3. substitutes for "ga" in subordinate phrases
  4. (at sentence-end, falling tone) indicates a confident conclusion (often ん)
  5. (at sentence-end) indicates emotional emphasis
  6. (at sentence-end, rising tone) indicates question
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shuugou
noun, suru verb
  1. meeting up; gathering; assembly
  2. set
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ha
particle
  1. topic marker particle (pronounced わ in modern Japanese)
  2. indicates contrast with another option (stated or unstated)
  3. adds emphasis
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kahou
noun
  1. addition
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nitsuite
expression
  1. concerning; regarding
  2. per (e.g. 100 yen per person); for every
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tojiru

te-form

tojite
ichidan verb, transitive verb, intransitive verb
  1. to close (e.g. book, eyes, meeting, etc.); to shut
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Suffix after the te form of a verb
iru
ichidan verb, auxiliary verb
  1. to be ...-ing; to have been ...-ing (after the -te form of a verb; indicates continuing action or state)
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