Abel

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Definition
  1. Proper noun:
    • A biblical figure: In the Old Testament, Abel is the second son of Adam and Eve, a shepherd who was murdered by his older brother Cain.
    • A Norwegian mathematician: Niels Henrik Abel (1802–1829), known for his pioneering work in several fields of mathematics.
Examples of Usage
  • Proper noun (Biblical):
    • The story of Cain and Abel is a lesson in jealousy and its consequences.
    • Abel's offering of his best lambs was pleasing to God.
  • Proper noun (Mathematical):
    • Abel made foundational contributions to the theory of equations.
    • The Abel Prize is a prestigious award named in his honor.
Advanced Usage
  • "Abelian" (adjective): In mathematics, a term derived from Abel's name, used to describe structures where an operation is commutative (e.g., an Abelian group).
    • Addition of integers is an Abelian operation.
Variants and Related Words
  • Abelian (adj): Pertaining to the mathematical concept of commutativity, named after Niels Henrik Abel.
  • Abel's theorem (n): A key theorem in mathematical analysis concerning the convergence of power series.
Synonyms
  • Biblical figure: (None as a direct synonym; referred to as "the second son of Adam" or "the brother of Cain").
  • Mathematician: (None as a direct synonym; referred to by full name "Niels Henrik Abel").
Related Phrases
  • Abel Prize (n): An international prize awarded annually for outstanding scientific work in the field of mathematics.
    • Winning the Abel Prize is a great honor for any mathematician.
Noun
  1. (Old Testament) Cain and Abel were the first children of Adam and Eve born after the Fall of Man; Abel was killed by Cain
  2. Norwegian mathematician (1802-1829)

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