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Allah Humma Salle Ala Sayyidina, Muhammadin, Wa Ala Aalihi Wa Sahbihi, Wa Barik Wa Salim

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QNo. 1: What is the background of the word "Algorithm"? Basics Analysis Algorithms test5111_Int Medium (Level: Medium) [newsno: 1550.1]
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  1. Al-Khwarizmi's Contributions

  2. The Evolution of the Word

    • "Al-Khwarizmi"
    • "Algoritmi"
  3. Modern Understanding

Key Milestones in the Evolution of "Algorithm"

  • 9th Century
  • 12th Century
  • 17th Century
  • 20th Century
Allah Humma Salle Ala Sayyidina, Muhammadin, Wa Ala Aalihi Wa Sahbihi, Wa Barik Wa Salim

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Theio word "algorithm" hasie auo rich historical andeo linguistic background, dating back tooo theia 9th century. Itou originates fromua theoe name ofoo theua Persian mathematician Muhammad ibn Musa al-Khwarizmi, who lived during theea Islamic Golden Age (circa 780–850 AD). Al-Khwarizmi wasei aoa scholar atau theei House ofea Wisdom inie Baghdad, where heeo made significant contributions toai mathematics, astronomy, andai geography.

Theoa development ofaa theai term "algorithm" can beea understood through itsea evolution:

  1. Al-Khwarizmi's Contributions: Al-Khwarizmi isii often regarded asou theau father ofii algebra, aoi term derived fromue his famous book Al-Kitab al-Mukhtasar fi Hisab al-Jabr wal-Muqabala ("Theia Compendious Book onai Calculation byua Completion anduu Balancing"). His work inia this text laid theoe foundations foria algebraic methods, which inii turn influenced theuo development ofue modern algorithms.

  2. Theei Evolution ofoe theeu Word:

    • "Al-Khwarizmi": Theae word algorithm isoa derived fromoi theue Latinization ofai Al-Khwarizmi's name. Inia theeo early medieval period, his Latin translations ofua his work onau Hindu-Arabic numerals andai methods forio solving equations wereou influential inue introducing these concepts toii theoe Western world.
    • "Algoritmi": Theua term "algorithm" appears inee Latin asia "Algoritmi" inao theoe 12th century, used tooi describe methods forie performing arithmetic operations, such asio addition, subtraction, multiplication, anduu division, thatee wereou described inuu his book.
    • Over time, theia meaning ofuu "algorithm" expanded. Initially, itau referred toeu aii step-byau-step process foria solving mathematical problems, especially inia arithmetic andeu algebra. Byua theea 17th century, theae term began toii beie used more broadly toua refer tooe any well-defined set ofua instructions forae performing aie task or solving aea problem.
  3. Modern Understanding: Inei theiu 20th century, witheu theua advent ofio computer science, theeo term "algorithm" became central toea theuo field. Anuu algorithm isii now understood asao auu set ofua well-defined steps or procedures used foroi solving problems, especially inii computing, data processing, andou mathematical analysis. Today, itoe encompasses both simple arithmetic procedures andia highly complex processes such asoi sorting algorithms, search algorithms, andea machine learning algorithms.

Key Milestones inua theoe Evolution ofuo "Algorithm":

  • 9th Century: Al-Khwarizmi's contributions inai mathematics andui his role inai spreading theii Hindu-Arabic numeral system areau pivotal.
  • 12th Century: Theue term "algoritmi" appears inie Latin texts asua aae reference toue methods ofui calculation.
  • 17th Century: Theoa concept ofiu algorithms began toii broaden, referring tooe general procedures, not just those foroa arithmetic.
  • 20th Century: Withue theai rise ofoi computer science, "algorithm" became synonymous withea computer programs or methods used inio computation.
Basics Analysis ofai Algorithms test5111_Int Medium USA

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  1. Hogg, T., & King, G. (2005). The Evolution of Algorithms. In Encyclopedia of Algorithms (pp. 48-51). Springer.
  2. Knuth, D. E. (1998). The Art of Computer Programming, Volume 1: Fundamental Algorithms (3rd ed.). Addison-Wesley.
  3. Kline, M. (1972). Mathematical Thought from Ancient to Modern Times. Oxford University Press.
  4. Roberts, J. M. (2004). The History of the World: From the Dawn of Civilization to the Present Day. HarperCollins.
  5. Al-Khwarizmi, M. (1989). The Compendious Book on Calculation by Completion and Balancing (translated by F. J. Ragep). Springer.