Episodes in the Mathematics of Medieval Islam

Berggren, J. L.

doi:10.1007/978-1-4612-4608-4

Cited by 15 publications

(9 citation statements)

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“…Algoritma kelimesinin kökeni ünlü İranlı matematikçi, gökbilimci ve coğrafyacı, Abu Jafar Muhammed bin Musa Khwarizmi (al-Khwarizmi) isminden ortaya çıkmıştır. Kharazm aslında bugün Özbekistan ülkesinde bulunan ve Khiyaw olarak adlandırılan "Büyük İran" şehirlerinden birisiydi (Berggren, 2017). Khwarizmi tarafından yazılan kitap 12. yüzyılda Latince'ye "Algoritmi de numero Indorum" yani "hintli sayılardaki algoritmik" olarak çevrildi.…”

Section: Algoritma Kelimesinin Tarihçesiunclassified

Overview of Different Methods Used in Clustering Algorithms

Yousefi

Odabas

Oktaş

2020

Black Sea Journal of Engineering and Science

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Özet Veri madenciliği, birçok teknik ve algoritmayı kullanarak büyük veri tabanlarından anlamlı bilgileri çıkarma işlemidir. Veri madenciliği genellikle, "verilerde bilgi keşfi" olarak adlandırılan ve bu bilgileri bulmak için kullanılan yöntemlerdir. Veri madenciliğinin temel yöntemlerinden birisi olan kümeleme yöntemidir. Kümeleme yöntemi günümüz dünyasında hızla çoğalan verilerin analizinde kullanılacak en güçlü yöntemlerdendir. Kümeleme bazı benzerlik mesafelerine dayalı olarak verilerdeki doğal gruplamaları veya kümeleri bulma tekniğidir. Kümeleme aslında birçok farklı veri analizlerinde temel bir adımdır. Bundan dolayı bu derlemede kümeleme algoritmalarında kullanılan farklı yöntemler özet bir şekilde anlatılmıştır.

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Section: Algoritma Kelimesinin Tarihçesiunclassified

Overview of Different Methods Used in Clustering Algorithms

Yousefi

Odabas

Oktaş

2020

Black Sea Journal of Engineering and Science

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“…Se presume que a mediados del siglo VIII el matemático árabe Al-Jwarizmi estudió la numeración hindú influenciado por la visita de eruditos hindúes a la corte del califa al-Ma'mūn 5 en Bagdad, de los que logró aprender el avance en matemáticas y astronomía desarrollado en India. De sus estudios logró escribir su obra Kitāb al-Jam 'wa-l-tafrīq bi-hisāb al-Hind 6 -Libro para el cálculo con números hindú-, del que solo se conservan algunas traducciones (Berggren, 1986;Castillo, 2011).…”

Section: El Cero Llega De Oriente a Europaunclassified

Perspectivas históricas y epistemológicas del número cero

Villamil

Riscanevo

2020

Prax. saber

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Se presenta una revisión detallada, selectiva y crítica sobre la construcción histórica y epistemológica del número cero, la cual hace parte del fundamento teórico de una investigación en el campo de la Educación Matemática, enfocada en categorizar las interpretaciones de estudiantes en formación inicial de matemáticas sobre el cero como número. Se utilizó la revisión bibliográfica como metodología para organizar y analizar la información que permitió atribuir significado a diversas interpretaciones. Las civilizaciones que se les atribuye su uso le asignaron un símbolo para representarlo y diferentes significados, relacionados directamente por sus creencias, necesidades y percepciones de la matemática. Desde el aspecto histórico y epistemológico se evidencia que las dificultades en su comprensión han perdurado, sin importar el contexto y, en consecuencia, son dificultades que trascienden y permean su enseñanza.

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“…In the 10th century, there had been an intensive translation activity from Greek manuscripts into Arabic. Euclid's The Elements, The Data, The Optics, Archimedes' Sphere and Cylinder, Measurement of the Circle, Heptagon in the Circle, Diaophantos' Arithmetics and Menelaos' Sphrerica can be listed among those translated books (Berggren, 2017).…”

Section: Geometry By Means Of Triggering Of New Ideasmentioning

confidence: 99%

A Study on Measuring Complexity in Muqarnas Patterns

Güzelci¹,

Alaçam²

2019

TOJDAC

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Muqarnas forms and patterns carry a high level of spatial, structural, geometrical, and topological complexity. Having a high-level complexity and its definition through simple geometrical and mathematical relations makes muqarnas rich source of information content. By using entropy, which is one of the most important components of information theory, the complexities of built environments or building elements in various scales can be measured. Within the scope of this study, three entropybased methods were used to calculate the complexities of the muqarnas patterns located in the portal of the Buruciye Medrese, which was built in the Seljuk Period in Sivas. In this study, only shape factor was chosen among various factors for calculation and a layer-based representation was used to represent muqarnas patterns. As a result of the study, it was seen that calculated entropy value changed when the muqarnas pattern had different levels of detail. In addition, it was observed that the entropy values of the discrete layers differed from each other.

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Episodes in the Mathematics of Medieval Islam

Cited by 15 publications

References 0 publications

Overview of Different Methods Used in Clustering Algorithms

Overview of Different Methods Used in Clustering Algorithms

Perspectivas históricas y epistemológicas del número cero

A Study on Measuring Complexity in Muqarnas Patterns

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