identity


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identity

a means of portraying arithmetically the enduring equality between two (or more) VARIABLES that are equal by definition. For example, £1 = 100p (or $1 = 100¢), and no matter how many pounds (or dollars) we have, they can always be converted into pennies (or cents) by multiplying by 100. Identities are generally given a three-bar ‘identity’ sign (=) to indicate that the value to the left of the three bars is identical to the value to the right of the sign. The QUANTITY THEORY OF MONEY is one of the best-known examples of an identity in economics, written as:

where M is the money stock, V is the velocity of circulation of money, P is the general price level and T is the number of transactions undertaken. See EQUATION.

References in classic literature ?
The Arab garments aroused no doubt as to the man's identity, since he had trailed him into the Arab camp and out again, where he might easily have acquired the apparel.
Between the disasters that had befallen his master and his master's house, and the Frenchman, Mugambi saw a sinister relationship, which kept him from recalling to Werper's attention the identity which the latter evidently failed to recognize.
Vague words precede judgments of identity and difference; both general and particular words are subsequent to such judgments.
Careful search of the room revealed nothing to explain either the identity or business of the person who had thus secretly sought me in the dead of night.
Carthoris was very glad that he had not disclosed his identity, for though he had no idea of anything that had transpired since he had left Helium, or that Astok was at the bottom of all his misfortunes, he well knew that the Dusarian had no love for him, and that he could hope for no assistance within the dominions of Dusar.
Thus we can understand the identity of many plants at points so immensely remote as on the mountains of the United States and of Europe.
On this view we can understand the relationship, with very little identity, between the productions of North America and Europe,--a relationship which is most remarkable, considering the distance of the two areas, and their separation by the Atlantic Ocean.
That identity makes us all one, and reduces to nothing great intervals on our customary scale.
Does Miss Halcombe assert her supposed sister's identity to the owner of the Asylum, and take legal means for rescuing her?
I cannot take the chance of permitting others to learn my identity.
The half-realized idea of identity in the mind of Miss Dunross dropped out of it instantly, expelled by the substantial conclusion which the contrast implied.
Respecting the author's identity, I would have it to he distinctly understood that Acton Bell is neither Currer nor Ellis Bell, and therefore let not his faults be attributed to them.