Türkçe Tanım:
Oresme Sayıları, 14. yüzyılda Nicole Oresme tarafından incelenen matematiksel serilerdir. Oresme sayıları harmonik seriye ait toplamları ifade eder. İki türü vardır:
( \frac{n}{2^n} ) serisi (Oresme'nin orijinal çalışması), Harmonik sayılar (( H_n = 1 + \frac{1}{2} + \cdots + \frac{1}{n} )). Bu sayılar, analiz ve sayı teorisinde önemli rol oynar.
English Definition:
Oresme Numbers are mathematical series studied by Nicole Oresme in the 14th century. Oresme numbers refer to the sums ...
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This study presents a comparative analysis of static and dynamic number sequences, using the classical Oresme numbers and the novel Keçeci numbers, developed by Mehmet Keçeci, as primary case studies. Static sequences are characterized by a fixed, predictable recurrence relation. The Oresme numbers—the partial sums of the harmonic series (Η_n=∑(k=1)^n 1/k)—exemplify this category. Their generation follows a simple, deterministic rule (Η_n= Η(n-1)+1/n), and their predictable divergence, proven ...
