# identity

## Definitions

• A Case of Mistaken Identity
• WordNet 3.6
• n identity the distinct personality of an individual regarded as a persisting entity "you can lose your identity when you join the army"
• n identity exact sameness "they shared an identity of interests"
• n identity the individual characteristics by which a thing or person is recognized or known "geneticists only recently discovered the identity of the gene that causes it","it was too dark to determine his identity","she guessed the identity of his lover"
• n identity an operator that leaves unchanged the element on which it operates "the identity under numerical multiplication is 1"
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Two men wearing distinctly different uniforms are waving identical flags with the double headed eagle emblem and are...

Webster's Revised Unabridged Dictionary
• Interesting fact: If an identical twin grows up without having a certain tooth, the other twin will most likely also grow up with that tooth missing
• Identity (Math) An identical equation.
• Identity The condition of being the same with something described or asserted, or of possessing a character claimed; as, to establish the identity of stolen goods.
• Identity The state or quality of being identical, or the same; sameness. "Identity is a relation between our cognitions of a thing, not between things themselves."
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Century Dictionary and Cyclopedia
• Interesting fact: Every person, including identical twins, has a unique eye and tongue print along with their finger print.
• n identity The state of being the same; absolute sameness; that relation which anything bears to itself; loosely, essential or practical sameness. Properly, identity belongs only to the individual, thing, being, event, etc.
• n identity In mathematics: The relation of an expression to another symbol for itself: often denoted by three short parallel horizontal lines, ≡ (derived from the mark of equality, =).
• n identity In algebra: A relation of equivalence dependent only upon the very nature of the operations involved, and not at all upon the particular numbers operated with: for example, the identity of ab with ba.
• n identity An identical equation; an equation for any letter in which any number whatsoever may be substituted without destroying the equality or restricting the values of any other letter: for example, (a + b) + c = a + (b + c).
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Chambers's Twentieth Century Dictionary
• Interesting fact: It took Leonardo Da Vinci 10 years to paint Mona Lisa. He never signed or dated the painting. Leonardo and Mona had identical bone structures according to the painting. X-ray images have shown that there are 3 other versions under the original.
• n Identity ī-den′ti-ti state of being the same: sameness
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## Quotations

• Ambrose Bierce
“Opiate. An unlocked door in the prison of Identity. It leads into the jail yard.”
• William James
“Only necessity understood, and bondage to the highest is identical with true freedom.”
• James Baldwin
“An identity would seem to be arrived at by the way in which the person faces and uses his experience.”
• Robert Louis Stevenson
“A faculty for idleness implies a catholic appetite and a strong sense of personal identity.”
• Erich Fromm
“Integrity simple means not violating one's own identity.”
• Camille Paglia
“Every man must define his identity against his mother. If he does not, he just falls back into her and is swallowed up.”

## Etymology

Webster's Revised Unabridged Dictionary
F. identité, LL. identitas, fr. L. idem, the same, from the root of is, he, that; cf. Skr. idam, this. Cf. Item
Chambers's Twentieth Century Dictionary
Fr.,—Low L. identitat-em—L. idem, the same.

## Usage

### In literature:

An identical story is told of Saint Patrick (LL, 108).
"The Latin & Irish Lives of Ciaran" by Anonymous
Motion or change, and identity or rest, are the first and second secrets of nature: Motion and Rest.
"Essays" by Ralph Waldo Emerson
You may have a unity shown in identity of form; but it is a lifeless unity.
"Sermons Preached at Brighton" by Frederick W. Robertson
Each one adjusted a false moustache and a wig to hide his identity.
"The Bradys and the Girl Smuggler" by Francis W. Doughty
The wide variation shown by two beam tests cited by him, in which the beams were identical, is, in itself, proof of this.
"Some Mooted Questions in Reinforced Concrete Design" by Edward Godfrey
Whatever else we know or do not know about ourselves, we are sure of our own personal identity through successive periods of life.
"The Relations Between Religion and Science" by Frederick, Lord Bishop of Exeter
DISTINCTION BETWEEN IDENTITY OF SIGNS AND THEIR USE AS AN ART.
"Sign Language Among North American Indians Compared With That Among Other Peoples And Deaf-Mutes" by Garrick Mallery
Our self is identical with the supreme deity and only apparently differentiated from it.
"The Evolution of Love" by Emil Lucka
This office done to the innocent dead, he asked if anything had been found to establish the young girl's identity.
"The Mystery of the Hasty Arrow" by Anna Katharine Green
The cause of this identity of construction is to be found in the influence exerted upon them by the earlier myths.
"Myth and Science" by Tito Vignoli
Here it must suffice to warn the reader against the supposition that this value is assumed to be identical.
"Illusions" by James Sully
But their figures were identical though their dresses were different.
"The Chief Legatee" by Anna Katharine Green
No one who's been retroed can resume his former identity.
"Forget Me Nearly" by Floyd L. Wallace
The puzzle of how the one identical room can be in two places is at bottom just the puzzle of how one identical point can be on two lines.
"Essays in Radical Empiricism" by William James
Persecution, then, should be welcome as the world's testimony to the disciple's identity with Christ.
"The Expositor's Bible: The Gospel of St John, Vol. II" by Marcus Dods
His interests are identical with ours; he has everything to gain by our success.
"The Secret of the League" by Ernest Bramah
I wonder what proof she has of his identity, or whether she has written yet to his relatives.
"Witch Winnie" by Elizabeth W. Champney
In speech the words are identical.
"The English Language" by Robert Gordon Latham
The Stubble Quail, a member of the Pheasant family, is nearly identical with the British Quail.
"An Australian Bird Book" by John Albert Leach
His portrait is identical, apparently, with the commonly received likeness of Jesus.
"Ancient Faiths And Modern A Dissertation upon Worships, Legends and Divinities" by Thomas Inman
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### In poetry:

Look how the same possibilities
unfold in their opposite demeanors,
as though one saw different ages
passing through two identical rooms.
"The Sisters" by Rainer Maria Rilke
Like a diver on a lofty spar of land
Atop the flight of stairs I stand.
A whirlpool leers at me,
I cast off my identity
And make the fatal plunge.
"Family Reunion" by Sylvia Plath
When crash of worlds and revolving spheres
Shall lose in chaos, identity;
And Time shall be measured not by years,
But on shall roll through eternity;
"Liberty" by Jared Barhite
On Jessore road Mother wept at my knees
Identity card torn up on the floor
Husband still waits at the camp office door
"September On Jessore Road" by Allen Ginsberg
One monotonous day is followed
by another monotonous, identical day. The same
things will happen, they will happen again —
the same moments find us and leave us.
"Monotony" by Constantine P Cavafy
And here's your old friend, the identical bard
Who has rhymed and recited you verse by the yard
Since the days of the empire of Andrew the First
Till you 're full to the brim and feel ready to burst.
"The Smiling Listener" by Oliver Wendell Holmes

### In news:

Bern Identity Fires Late to Capture Sanford.
Bern Identity wins the Sanford Stakes.
Bern Identity stalked a hot pace before sweeping to victory over front-running.
The Bern identity Songwriter Dan Bern still dealing with his 'next Dylan' status.
SARATOGA SPRINGS – Bern Identity surged past a tiring Handome Jack to win the \$200,000 Grade II Sanford for 2-year-olds today, giving jockey Rosie Napravnik and trainer Kelly Breen their first stakes win at Saratoga.
Secretary of Defense Leon Panetta said Thursday that a group of terrorists "obviously" carried out the attack on the US Consulate in Benghazi, Libya, but that the identity of their group or affiliation is unknown.
SEGMENT: Louise Bourgeois in "Identity".
The final segment "Identity" focuses on Louise Bourgeois .
Is Bourn the identity of Phils' future center fielder.
Bourn 's new identity.
Prisoner identity photographs, taken by Wilhelm Brasse , of Czeslawa Kwoka of Poland.
Breck creating own identity.
Children at higher risk for identity theft.
Identity of body found in Flint River not confirmed.
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### In science:

For instance, (13) = τ στ , so if we apply the identity C (x, y) = C (y , x) again to C (−y , x − y) we pick up C (x − y , −y), i.e. the identity corresponding to the permutation (13).
Multivariate Lag-Windows and Group Representations
Actually every identity can be produced from just the two identities corresponding to the permutations σ and τ .
Multivariate Lag-Windows and Group Representations
In general, since each identity required just corresponds to a permutations of the arguments of h, each identity will be satisﬁed.
Multivariate Lag-Windows and Group Representations
It was further assumed that the in ﬂowing neutral gas is monoenergetic, i.e., that before the encounter with the Sun the atoms move with identical, parallel-oriented velocities, identical with the macroscopic bulk velocity of the gas.
Neutral interstellar hydrogen in the inner heliosphere under influence of wavelength-dependent solar radiation pressure
Comparison simulations were performed with the use of the classical hot model on identical spatial mesh and assuming identical parameters at the termination shock and identical ionization rate.
Neutral interstellar hydrogen in the inner heliosphere under influence of wavelength-dependent solar radiation pressure
Case We assume ﬁrst that the random matrix U ∈ Cn×D has independent identically distributed rows and delay the discussion of the case of independent, but not identically distributed rows to Section 3.2.
Learning Trigonometric Polynomials from Random Samples and Exponential Inequalities for Eigenvalues of Random Matrices
In the case of two paths, we provide a simpliﬁed proof of the identity for loop-erased random walk and simple random walk, and prove directly that the corresponding identity holds for chordal SLE2 and Brownian motion.
The scaling limit of Fomin's identity for two paths in the plane
The identity between the matrix integral and the generating series of ud (n) is due to Rains , while the identity between the series and the determinant is due to Gessel .
Vicious walkers and random contraction matrices
So, p cannot be identically +∞ or identically −∞.
Busemann points of Artin groups of dihedral type
Let ˜Ω′ denote the set of (p, z ) in (Z ∪ {−∞, +∞})2 × ˜Z such that if p is not identically −∞ nor identically +∞, then p1 − p0 = ˜m1 (z ).
Busemann points of Artin groups of dihedral type
C∞ functions (i.e. an inﬁnitely differentiable functions) which are identically 1 on an interval (−∞, a) and identically 0 on an interval (b, ∞), with a < b.
Dynamical Systems on Three Manifolds Part I: Knots, Links and Chaos
Deﬁnition 3.4 If A and B are two disjoint subsets of Rm , then there exists an inﬁnitely differentiable function ϕ which is identically 1 on A and identically 0 on B .
Dynamical Systems on Three Manifolds Part I: Knots, Links and Chaos
There is a correspondence between identities on Coeff C and conformal identities on C .
Universally defined representations of Lie conformal superalgebras
These algebras are with identity if Y is compact without boundary, and without identity otherwise.
Kuranishi homology and Kuranishi cohomology
Thus, K B ∗(Y ; R) is a graded, supercommutative, associative R-algebra, with identity if Y is compact, and without identity otherwise.
Kuranishi homology and Kuranishi cohomology
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