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A hybrid approach to predicting and classifying dental impaction: integrating regularized regression and XG boost methods. [PDF]
Front Oral HealthMathew A +8 more
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Assessing Fundamental Frequency Variation in Speakers With Parkinson's Disease: Effects of Tracking Errors. [PDF]
J Speech Lang Hear ResPortnova A +3 more
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Potential of short-term heat-treated horse manure as a recycled growing media. [PDF]
J Environ QualLeppäkoski S +3 more
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The formal solutions of Diophantine equation agy = bx + c. [PDF]
HeliyonYang X.
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2014
In February, 1657, Fermat challenged the English mathematicians John Wallis (1616–1703) and Lord William V. Brouncker (1620–1684) to solve the non-linear diophantine equation \(x^{2} - dy^{2} = 1\), where d is nonsquare and positive. The amateur French mathematician Bernard de Bessey (ca. 1605–1675) solved it for d ≤ 150.
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In February, 1657, Fermat challenged the English mathematicians John Wallis (1616–1703) and Lord William V. Brouncker (1620–1684) to solve the non-linear diophantine equation \(x^{2} - dy^{2} = 1\), where d is nonsquare and positive. The amateur French mathematician Bernard de Bessey (ca. 1605–1675) solved it for d ≤ 150.
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2015
Euler, after a cursory reading of Wallis’s Opera Mathematica, mistakenly attributed the first serious study of nontrivial solutions to equations of the form \(x^{2} - Dy^{2} = 1\), where x ≠ 1 and y ≠ 0, to John Pell. However, there is no evidence that Pell, who taught at the University of Amsterdam, had ever considered solving such equations.
Titu Andreescu, Dorin Andrica
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Euler, after a cursory reading of Wallis’s Opera Mathematica, mistakenly attributed the first serious study of nontrivial solutions to equations of the form \(x^{2} - Dy^{2} = 1\), where x ≠ 1 and y ≠ 0, to John Pell. However, there is no evidence that Pell, who taught at the University of Amsterdam, had ever considered solving such equations.
Titu Andreescu, Dorin Andrica
openaire +1 more source