algebraic

With letters, not just numbers

Algebraic describes anything relating to algebra, the branch of mathematics that uses letters and symbols to represent numbers and quantities in equations: algebraic expressions, algebraic equations.

In casual use, algebraic can mean mathematically complex or abstract: The tax code requires algebraic thinking just to file a return.

equations

polynomial

Expression with variable terms

coefficient · variable · roots · solutions · factorization · inequality · exponent · binomial · trinomial · monomial

structures

group

Assembled collection of things

module · category · commutative · associative · closure · distributive · isomorphism · subgroup · quotient · kernel

notation

variable

Prone to fluctuation

superscript · term · factor · radical · function · notation · identity · operator · parentheses · equals sign

proofs

axiomatic

Accepted without question

  • theoremDemonstrated logical conclusion
  • lemmaBase form, or helper theorem
  • corollaryLogical natural consequence

conjecture · postulate · deduction · inference · rigorous · formalism · foundations · proposition · proof · logical

geometry

variety

State of being diverse

  • curveSmooth, angleless line
  • surfaceOutermost boundary layer
  • schemeCalculated strategy, often secretive

sheaf · projective · affine · singularity · dimension · intersection · tangent · divisor · Grothendieck · moduli

Categories
Opposites
mathematical method

algebraicarithmetic

Mathematics of basic operations

numerical · geometric · graphical · computational · calculative

number classification

algebraictranscendental

Beyond ordinary experience

irrational

geometric vs. symbolic approach

algebraicgeometric

Relating to mathematical shapes

graphical · visual · spatial · diagrammatic · constructive

Phrases
Family

algebra, algebraic data types, algebras, algebraically

Familiarity
Top 100,000
Profile
Used worldwide · Timeless · Abstract · Rated G