algebraic
/'ældʤibrə/ Cách viết khác : (algebraical) /'ældʤibrəl/
Definition
- 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.
Adjective
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of or relating to algebra
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algebraic geometry
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