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Furigana Show|Add to ▼ Source Totoeba Project
A function that is differentiable everywhere is continuous.
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Vocabulary list

arayuru
pre-noun adjectival
  1. all; every
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ten
noun
  1. dot; spot; point; speck; mark
  2. mark (in an exam, etc.); grade; score; points
  3. point (in a game); score; goal; run
  4. point (in geometry)
  5. point; aspect; matter; detail; part; respect; way; viewpoint
  6. (punctuation) mark (e.g. comma, period, decimal point); dot
  7. "dot" stroke (in a Chinese character)
counter
  1. counter for points, marks, goals, etc.
  2. counter for goods, items, articles of clothing, works of art, etc.
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de
particle
  1. at; in (indicates location of action; にて is the formal literary form)
  2. at; when (indicates time of action)
  3. by; with (indicates means of action)
conjunction
  1. and then; so
auxiliary
  1. and; then (indicates continuing action; alternative form of 〜て used for some verb types)
particle
  1. let me tell you; don't you know (at sentence-end; indicates certainty, emphasis, etc.)
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bibunkanou
na adjective
  1. differentiable
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bibun
noun, suru verb
  1. differentiation
noun
  1. differential; derivative
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kanou
na adjective, noun
  1. possible; potential; practicable; feasible
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na
particle
  1. don't (prohibitive; used with dictionary form verb)
  2. do (imperative (from なさい); used with -masu stem of verb)
interjection
  1. hey; listen; you
particle
  1. now, ...; well, ...; I tell you!; you know (when seeking confirmation, for emphasis, etc.; used at sentence end)
  2. wow; ooh (used to express admiration, emotionality, etc.; used at sentence end)
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kansuu
noun
  1. function
  2. function (programming)
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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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renzokukansuu
noun
  1. continuous function
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renzoku
noun, suru verb
  1. continuation; succession; series
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kansuu
noun
  1. function
  2. function (programming)
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da

Polite Present Indicative Form

desu
copula
  1. be; is (plain copula)
auxiliary verb
  1. did; (have) done (た after certain verb forms; indicates past or completed action)
  2. please; do (indicates light imperative)
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