irreducible

Already most basic

Irreducible means unable to be reduced, simplified, or broken down further.

An irreducible minimum is the smallest possible amount.

In mathematics, an irreducible fraction cannot be simplified; an irreducible polynomial cannot be factored.

The word often emphasizes something fundamental or essential: an irreducible core of truth, the irreducible complexity of the problem.

fundamental

essential

Fundamentally necessary

axiomatic · constitutive · inherent · underlying · cardinal · central · pivotal · integral · immutable · absolute

mathematical

prime

Readying for action

monomial · fraction · expression · equation · matrix · tensor · quotient · remainder · factorization · denominator

indivisible

atom

Element's smallest unit

  • monadIndivisible fundamental unit
  • unitIndividual part or measure
  • particleMinute piece of matter

quanta · singleton · whole · inseparable · undividable · unbreakable · unsplittable · indissoluble · unified · unitary

simplified

unadorned

Lacking decoration or ornament

spare · austere · stripped-down · lean · distilled · concentrated · condensed · refined · essential · minimalist

intractable

unsolvable

Impossible to resolve

insuperable · complex · knotty · thorny · stubborn · persistent · unyielding · recalcitrant · obstinate · entrenched

physics

quark

Fundamental matter particle

  • leptonFundamental particle without strong interactions
  • bosonInteger-spin subatomic particle
  • fermionHalf-integer spin particle

photon · electron · neutrino · muon · gluon · subatomic · quantum · fundamental force · string · field

Categories
Opposites
mathematical/algebraic factorability

irreduciblereducible

Able to be diminished

factorable · decomposable · composite · divisible · simplifiable

simplification/reduction potential

irreduciblereducible

Able to be diminished

simplifiable · compressible · condensable · collapsible · abridgeable

ESSENTIAL vs. ELIMINABLE

irreduciblereducible

Able to be diminished

dispensable · eliminable · derivative · secondary · superfluous

Family

irreducibly, irreducibility

Familiarity
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Profile
Used worldwide · Timeless · Abstract · Rated G