algebraic

/'ældʤibrə/ Cách viết khác : (algebraical) /'ældʤibrəl/

Thân thiện

The student solves an algebraic equation on the chalkboard.

Definition

1. Adjective:
   • Relating to or using algebra: Pertaining to the branch of mathematics that uses symbols and letters to represent numbers and quantities in formulas and equations.
   • Involving or expressed through algebraic operations: Characterized by or using the operations of algebra, such as addition, subtraction, multiplication, division, and exponentiation.

Usage Examples

• Adjective:
  • The student solved the algebraic equation with ease.
  • This problem requires algebraic manipulation to find the solution.
  • She has a strong understanding of algebraic concepts.

Advanced Usage

• "Algebraic structure": A set equipped with one or more operations that satisfy certain axioms (e.g., a group, ring, or field).
  • Group theory studies the properties of different algebraic structures.
• "Algebraic number": A number that is a root of a non-zero polynomial equation with integer coefficients.
  • √2 is an example of an algebraic number.

Variants and Related Words

• Algebraically (adverb): In a way that relates to or uses algebra.
  • The expression was simplified algebraically.
• Algebra (noun): The branch of mathematics itself.
  • She is studying algebra this semester.

Synonyms

• Polynomial (when referring to specific expression types).
• Symbolic (in the context of using symbols).

Related Phrases and Terms

• Algebraic expression: A mathematical phrase that can contain ordinary numbers, variables, and operators.
  • "2x + 5" is a simple algebraic expression.
• Algebraic geometry: A branch of mathematics that studies solutions to algebraic equations using geometric principles.
  • Algebraic geometry combines algebra and geometry.

Học thuật

Adjective

1. of or relating to algebra
   • algebraic geometry

Từ đồng nghĩa

• algebraical