identity

the state or fact of remaining the same one or ones, as under varying aspects or conditions.

The identity of the fingerprints on the gun with those on file provided evidence that he was the killer.

the condition of being oneself or itself, and not another.

He began to doubt his own identity.

condition or character as to who a person or what a thing is; the qualities, beliefs, etc., that distinguish or identify a person or thing.

a case of mistaken identity;

a male gender identity;

immigrants with strong ethnic identities.

the state or fact of being the same one as described.

the sense of self, providing sameness and continuity in personality over time and sometimes disturbed in mental illnesses, as schizophrenia.

Synonyms:

uniqueness, distinctiveness, personality, individuality

exact likeness in nature or qualities.

an identity of interests.

an instance or point of sameness or likeness.

to mistake resemblances for identities.

Logic. an assertion that two terms refer to the same thing.

Mathematics.

1. an equation that is valid for all values of its variables.

2. Also called unit element,.  Also called unity.  Also called identity element,.  an element in a set such that the element operating on any other element of the set leaves the second element unchanged.

3. the property of a function or map such that each element is mapped into itself.

4. the function or map itself.

Australian Informal. an interesting, famous, or eccentric resident, usually of long standing in a community.

the state of having unique identifying characteristics held by no other person or thing

the individual characteristics by which a person or thing is recognized

Also called: numerical identity.  the property of being one and the same individual

his loss of memory did not affect his identity

Also called: qualitative identity.  the state of being the same in nature, quality, etc

they were linked by the identity of their tastes

the state of being the same as a person or thing described or claimed

the identity of the stolen goods has not yet been established

identification of oneself as

moving to London destroyed his Welsh identity

logic

1. that relation that holds only between any entity and itself

2. an assertion that that relation holds, as Cicero is Tully

maths

1. an equation that is valid for all values of its variables, as in ( x – y )( x + y ) = x ² – y ². Often denoted by the symbol ≡

2. Also called: identity element.  a member of a set that when operating on another member, x, produces that member x: the identity for multiplication of numbers is 1 since x .1 = 1. x = x See also inverse

informal a well-known person, esp in a specified locality; figure (esp in the phrase an old identity )