identities

/aɪˈdɛntɪtiz/

NOUN

1. The qualities or characteristics that distinguish individuals or groups

The distinctive characteristics, qualities, or attributes that establish who a person or group is and distinguish them from others.

1.1. Personal identity and individuality

The unique qualities, characteristics, and personal attributes that make someone a distinct individual.

Synonyms

  • individualities
  • personalities
  • self-identities
  • selfhoods
  • characters

Antonyms

  • conformities
  • conventionalities

Examples

  • People from diverse backgrounds coexist in the city, each with unique identities.
  • The support group provided a safe space for individuals to express their true identities.

Related Words

  • individualism
  • singularity
  • personhood
  • self-awareness
  • distinctiveness

1.2. Personal traits and dispositions

The characteristic temperaments, behavioral tendencies, and distinctive personal qualities that contribute to an individual's identity.

Synonyms

Examples

  • The psychological study examined how childhood experiences influence people's identities.
  • The characters in the novel have distinct identities shaped by their temperaments and experiences.

Related Words

1.3. Cultural and collective identity

The shared characteristics, values, traditions, and affiliations that define individuals as members of particular cultural, social, or community groups.

Synonyms

  • individualities
  • characters
  • self-identities

Examples

  • The art exhibition explored personal and cultural identities through paintings and photographs.
  • Migration can influence how communities preserve and develop their cultural identities.

Related Words

  • cultural heritage
  • belonging
  • collective identity
  • traditions
  • affiliations

1.4. Online and digital identity

The personal information, profiles, and identifying characteristics that represent individuals when they interact or communicate in digital environments.

Synonyms

  • self-identities
  • personalities

Examples

  • The cybersecurity team worked diligently to protect the online identities of users from potential threats.
  • Social media platforms have changed how people create and manage their digital identities.

Related Words

  • digital profiles
  • user accounts
  • credentials
  • online personas
  • authentication

NOUN

2. The sameness or identicalness of multiple things

The quality or fact of two or more specified things being the same or identical in nature, characteristics, or essential properties.

2.1. Mathematical and logical equality

Equations or relationships expressing that two mathematical expressions or values are identical under all permitted conditions.

Synonyms

Antonyms

  • differences
  • distinctions

Examples

  • Students learned how algebraic identities remain true regardless of the values assigned to their variables.
  • The mathematician used several identities to simplify the complex equation.

Related Words

  • equality
  • equivalence
  • equations
  • mathematical expressions
  • constants

NOUN

3. A recognizable name or public persona

A name, public image, or recognizable persona through which a person is known or presented to others.

3.1. Public persona and recognizable image

The public name, image, or persona associated with a person, particularly someone recognized or famous.

Synonyms

  • personas
  • characters

Examples

  • Several well-known identities attended the charity event.
  • The performers adopted different identities for their roles on stage.

Related Words

  • reputations
  • public images
  • aliases
  • profiles
  • celebrities

NOUN

4. The identity element in an algebraic structure

An element of an algebraic structure that leaves another element unchanged when combined with it through a specified operation.

4.1. Algebraic identity elements

A special element in an algebraic system that preserves the value of another element when an operation is performed.

Synonyms

  • identity elements
  • neutral elements

Examples

  • The algebra course introduced identities that act as neutral elements under specific operations.
  • The students studied how identity elements behave in different algebraic structures.

Related Words

  • multiplicative identity
  • additive identity
  • zero element
  • unit element
  • algebraic structures

NOUN

5. Functions that map every element to itself

Mathematical functions that leave every element in their domain unchanged when applied to that element.

5.1. Identity functions in mathematics

Functions that return the same input value without modifying it.

Synonyms

  • identity mappings

Examples

  • The mathematics textbook explains how identity functions map every element of a set to itself.
  • Several identity mappings were used to demonstrate basic properties of mathematical transformations.

Related Words

  • identity function
  • mappings
  • transformations
  • domain
  • range