"semiconvergent" meaning in All languages combined

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  "etymology_text": "semi- + convergent",
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        {
          "text": "The semiconvergents to the continued fraction expansion of a real number include all the rational approximations which are better than any approximation with a smaller denominator."
        }
      ],
      "glosses": [
        "A kind of fraction. If (h_n-1)/(k_n-1), (h_n)/(k_n) are successive convergents, then any fraction of the form (h_n-1+ah_n)/(k_n-1+ak_n), where a is a nonnegative integer and the numerators and denominators are between the n and n+1 terms inclusive, is a semiconvergent."
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        "(mathematics) A kind of fraction. If (h_n-1)/(k_n-1), (h_n)/(k_n) are successive convergents, then any fraction of the form (h_n-1+ah_n)/(k_n-1+ak_n), where a is a nonnegative integer and the numerators and denominators are between the n and n+1 terms inclusive, is a semiconvergent."
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    "Continued fraction#Semiconvergents",
    "Convergent matrix#Semi-convergent matrix"
  ],
  "word": "semiconvergent"
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  "etymology_text": "semi- + convergent",
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      ],
      "glosses": [
        "For which the limit lim _(k→∞) bold Tᵏ exists."
      ],
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          "mathematics",
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      ],
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        "(mathematics, of a matrix) For which the limit lim _(k→∞) bold Tᵏ exists."
      ],
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        "of a matrix"
      ],
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        "not-comparable"
      ],
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  ],
  "wikipedia": [
    "Continued fraction#Semiconvergents",
    "Convergent matrix#Semi-convergent matrix"
  ],
  "word": "semiconvergent"
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        }
      ],
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        "(mathematics) A kind of fraction. If (h_n-1)/(k_n-1), (h_n)/(k_n) are successive convergents, then any fraction of the form (h_n-1+ah_n)/(k_n-1+ak_n), where a is a nonnegative integer and the numerators and denominators are between the n and n+1 terms inclusive, is a semiconvergent."
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        "For which the limit lim _(k→∞) bold Tᵏ exists."
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        "(mathematics, of a matrix) For which the limit lim _(k→∞) bold Tᵏ exists."
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}