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- matemaattinen teoreema (fi)
- matematikai állítás (hu)
- teorema (pt)
- theorem (en)
- 數學定理 (zh)
- مبرهنة في حساب التفاضل والتكامل (ar)
- கணித தேற்றம் (ta)
- théorème d'analyse réelle (fr)
- stetige Funktionen nehmen auf dem Intervall a,b alle Werte zwischen f(a) und f(b) an (de)
- matematisk sats (sv)
- twierdzenie analizy matematycznej (pl)
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- Consider a closed interval in the real numbers and a continuous function . Then, if is a real number such that , there exists such that . (en)
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- Intermediate value theorem (en)
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- Take to be any continuous function on a circle. Draw a line through the center of the circle, intersecting it at two opposite points and . Define to be . If the line is rotated 180 degrees, the value will be obtained instead. Due to the intermediate value theorem there must be some intermediate rotation angle for which , and as a consequence at this angle. (en)
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- The placement and phrasing of this remark may suggest that the classical proof is somehow "intuitive" and not rigorous, which is not the case. (en)
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- Intermediate Value Theorem (en)
- Proof for 1-dimensional case (en)
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- IntermediateValueTheorem (en)
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- Intermediate value theorem (en)
- مبرهنة القيمة الوسطية (ar)
- Teorema del valor intermedi (ca)
- Bolzanova věta (cs)
- Teorema del valor intermedio (es)
- Théorème des valeurs intermédiaires (fr)
- Zwischenwertsatz (de)
- Teorema nilai antara (in)
- Teorema dei valori intermedi (it)
- 中間値の定理 (ja)
- 중간값 정리 (ko)
- Teorema do valor intermediário (pt)
- Twierdzenie Darboux (pl)
- Tussenwaardestelling (nl)
- Теорема о промежуточном значении (ru)
- Bolzanos sats (sv)
- Теорема Больцано — Коші (uk)
- 介值定理 (zh)
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