identity
8
6.5
- noun
- /aɪˈdɛntɪti/
- Specialized
- The matrix acts as the identity in the equation, meaning it does not alter the vector when multiplied.
- sequence identity
- Nucleotide identity
- amino acid identity
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Watch on YouTubeIt is positive definite, of course, just the identity with a factor.
- It is positive definite, of course, just the identity with a factor.
- Anything special, maybe a Pythagorean theorem identity hanging out there?
- We use the simplest kind of thermodynamic identities.
- More likely you have to replace sine squared with a half angle identity.
- Well, it would just be identity the identity matrix.
Examples
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How about a multiple of the identity plus rank one?
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It's called a ring with identity, a ring with identity.
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As subjects' minutes of exercise per week increased, the level of Exercise Identity also increased.
Academic text (1995) -
By contrast, the Lagrangian perspective is concerned with the identity of individual fluid elements.
Academic text (2012) -
Overall, however, the results lend the greatest support to the identity-analytic interpretation.
Academic text (1996) -
A sense of identity.
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Accounting equations and identities constitute most of the computational components of the model.
Academic text (1991) -
What remains consistent with the passage of time is the definitional identity of the characteristic. (p. 159).
Academic text (1998) -
In this way, it foreshadows Leibniz's conception of identity, i.e., sameness in terms of sameness of all qualities.
Academic text (1991) -
In mathematics, the identity element for addition is zero, as adding zero to a number leaves it unchanged.
Synonyms
17
6.2
A situation where two things have the same value, meaning, or effect
11
6.7
Being equal in value, amount, or function
10
4.2
A lack of change or variety in daily life
1
9.9
A quantity that stays the same when you change a system, often in math or physics
1
9.0
Something that stays the same while other things change
1
8.5
A state of not changing over time
1
9.9
A situation when you cannot tell two things apart
1
9.1
An element that leaves other elements unchanged when used with an operation, like 0 for addition or 1 for multiplication
1
6.2
The state of being exactly the same in every way
A rule that returns the same thing you put in
A state of not changing over time
Antonyms
Compounds
29
3.5
Using someone else's personal details without permission to steal money or pretend to be them
- Formal
2
2.7
A document that shows who you are, like a passport or driver's licence
- Specialized
1
3.6
A process of checking documents or fingerprints to confirm someone really is who they say they are
- Specialized
1
9.1
An element that leaves other elements unchanged when used with an operation, like 0 for addition or 1 for multiplication
- Specialized
1
6.7
A square table of numbers with ones on the diagonal and zeros elsewhere that acts like one when multiplying matrices
- NSFW
A way people see themselves that mixes Chinese and African American ways of life, like style and speech
- Jargon
A way of describing sexual attraction that includes many different orientations beyond common labels
How Aligned
- Specialized
8
6.5
214
1.0
2
6.7
162
2.7
∞
1.0
231
1.6
138
4.3
Surface Forms
Morphology
identity = identical (transparent) = ident + ity
The mathematical sense ('sameness' or an element that leaves something unchanged) directly reflects the core meaning of 'ident' + the abstract noun '-ity'.
Etymology
Identity comes from Latin idem 'the same', and in maths it means something that leaves a value 'unchanged', for example 1 in multiplication does not change a number. That is why a mathematical identity is an element or rule that keeps things the same.