Definitions
1.AdjectiveUncomplicated; lacking complexity; taken by itself, with nothing added.
2.AdjectiveEasy; not difficult.
3.AdjectiveWithout ornamentation; plain.
4.AdjectiveFree from duplicity; guileless, innocent, straightforward.
5.AdjectiveUndistinguished in social condition; of no special rank.
6.AdjectiveTrivial; insignificant.
7.AdjectiveFeeble-minded; foolish.
8.AdjectiveStructurally uncomplicated."a simple ascidian"
9.AdjectiveConsisting of one single substance; uncompounded.
10.AdjectiveBeing non-trivial, and admitting no proper non-trivial quotients.
Being non-trivial, and having no proper non-trivial normal subgroups (equivalently, no proper non-trivial quotient groups).
Being non-trivial, and having no proper non-trivial submodules (equivalently, no proper non-trivial quotient modules).
Being non-zero, and having no proper non-zero two-sided ideals (equivalently, no proper non-trivial quotient rings). For commutative rings, this definition coincides with that of a field.
Containing more than one element, and such that the only congruences on the structure are the diagonal relation (the equivalence relation
a
≡
b
⟺
a
=
b
{\displaystyle a\equiv b\iff a=b}
) and the universal relation (the equivalence relation such that
a
≡
b
{\displaystyle a\equiv b}
for all
a
,
b
{\displaystyle a,b}
). Equivalently, containing more than one element and having no proper non-trivial quotient algebras.
Being non-isomorphic to the terminal object, and such that its only quotient objects (up to isomorphism) are the terminal object and itself.
11.AdjectiveBeing non-trivial, and having no proper non-trivial normal subgroups (equivalently, no proper non-trivial quotient groups).
12.AdjectiveBeing non-trivial, and having no proper non-trivial submodules (equivalently, no proper non-trivial quotient modules).
13.AdjectiveBeing non-zero, and having no proper non-zero two-sided ideals (equivalently, no proper non-trivial quotient rings). For commutative rings, this definition coincides with that of a field.
14.AdjectiveContaining more than one element, and such that the only congruences on the structure are the diagonal relation (the equivalence relation
a
≡
b
⟺
a
=
b
{\displaystyle a\equiv b\iff a=b}
) and the universal relation (the equivalence relation such that
a
≡
b
{\displaystyle a\equiv b}
for all
a
,
b
{\displaystyle a,b}
). Equivalently, containing more than one element and having no proper non-trivial quotient algebras.
15.AdjectiveBeing non-isomorphic to the terminal object, and such that its only quotient objects (up to isomorphism) are the terminal object and itself.
16.AdjectiveBeing non-abelian and having no proper non-zero ideals. (Note that this is non-equivalent to the usual algebra sense; in particular, the abelian Lie algebra of dimension 1 over any given field is non-trivial and has no proper non-zero ideals, but is by convention not considered simple.)
17.AdjectiveEqual to a finite linear combination of indicator functions on measurable sets.
18.AdjectiveNot compound, but possibly lobed.
19.AdjectiveUsing steam only once in its cylinders, in contrast to a compound engine, where steam is used more than once in high-pressure and low-pressure cylinders.
20.AdjectiveConsisting of a single individual or zooid; not compound."a simple ascidian"
21.AdjectiveHomogenous.
22.AdjectiveMere; not other than; being only.
23.NounA herbal preparation made from one plant, as opposed to something made from more than one plant.
24.NounA physician.
25.NounA simple or atomic proposition.
26.NounSomething not mixed or compounded.
27.NounA drawloom.
28.NounPart of the apparatus for raising the heddles of a drawloom.
29.NounA feast which is not a double or a semidouble.
30.VerbTo gather simples, i.e. medicinal herbs.