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Codomain vs. Image

Difference Between Codomain and Image

Codomain

In mathematics, the codomain or set of destination of a function is the set into which all of the output of the function is constrained to fall. It is the set Y in the notation f: X → Y. The term range is sometimes ambiguously used to refer to either the codomain or image of a function.
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Image

An image (from Latin: imago) is an artifact that depicts visual perception, such as a photograph or other two-dimensional picture, that resembles a subject—usually a physical object—and thus provides a depiction of it. In the context of signal processing, an image is a distributed amplitude of color(s).
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Codomain

A set containing all the values of a function. The range is a subset of the codomain.
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Image

a representation of the external form of a person or thing in art
her work juxtaposed images from serious and popular art
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Codomain

The target set into which a function is formally defined to map elements of its domain; the set denoted Y in the notation f : X → Y.
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Image

the general impression that a person, organization, or product presents to the public
she strives to project an image of youth
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Image

a simile or metaphor
he uses the image of a hole to describe emotional emptiness
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Image

make a representation of the external form of
artworks which imaged women's bodies
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Image

A representation of the form of a person or object, such as a painting or photograph.
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Image

A sculptured likeness.
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Image

(Physics) An optically formed duplicate, counterpart, or other representative reproduction of an object, especially an optical reproduction formed by a lens or mirror.
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Image

One that closely or exactly resembles another
He is the image of his uncle.
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Image

Likeness; semblance
Genesis says that man was made in the image of God.
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Image

The opinion or concept of something that is held by the public
the public's image of business leaders as greedy.
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Image

The concept or character projected to the public, as by a person or institution, especially as interpreted by the mass media
an actor who tried to convey an image of refined beauty.
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Image

A typical example or embodiment
That child is the image of good health.
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Image

A mental picture of something not real or present
Our image of the cottage did not conform with reality.
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Image

A vivid description or representation in words, especially a metaphor or simile
The poem uses the image of a barren tree to convey feelings of desolation.
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Image

(Mathematics) A set of values of a function corresponding to a particular subset of a domain.
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Image

(Computers) An exact replica of the contents of a storage device, such as a hard disk, stored on a second storage device, such as a network server.
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Image

(Obsolete) An apparition.
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Image

To make or produce a likeness of
imaged the poet in bronze.
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Image

To mirror or reflect
a statue imaged in the water.
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Image

To make a visual representation of (an object) using remote scanning or technology such as magnetic resonance imaging
imaged the diseased kidneys.
imaged the surface of Mars.
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Image

To symbolize or typify
a kneeling woman imaging the nation's grief.
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Image

To picture mentally; imagine or visualize
imaged each dive before doing it.
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Image

To describe, especially so vividly as to evoke a mental picture
The passage images what it's like to grow up poor.
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Image

To print (a file) using a laser printer, imagesetter, direct-to-plate press, or similar device.
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Image

To transmit (an exact replica of the contents of a storage device) to another storage device
imaged the hard drive to the server.
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Image

An optical or other representation of a real object; a graphic; a picture.
The Bible forbids the worship of graven images.
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Image

A mental picture of something not real or not present.
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Image

A statue or idol.
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Image

(computing) A file that contains all information needed to produce a live working copy. (See disk image and image copy.)
Most game console emulators do not come with any ROM images for copyright reasons.
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Image

A characteristic of a person, group or company etc., style, manner of dress, how one is or wishes to be perceived by others.
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Image

(mathematics) What a function maps to.
The number 6 is the image of 3 under f that is defined as f(x) = 2x.
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Image

(mathematics) The subset of a codomain comprising those elements that are images of something.
The image of this step function is the set of integers.
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Image

(radio) A form of interference: a weaker "copy" of a strong signal that occurs at a different frequency.
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Image

(obsolete) Show; appearance; cast.
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Image

(transitive) To represent by an image or symbol; to portray.
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Image

(transitive) To reflect, mirror.
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Image

(transitive) To create an image of.
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Image

To create a complete backup copy of a file system or other entity.
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Image

An imitation, representation, or similitude of any person, thing, or act, sculptured, drawn, painted, or otherwise made perceptible to the sight; a visible presentation; a copy; a likeness; an effigy; a picture; a semblance.
Even like a stony image, cold and numb.
Whose is this image and superscription?
This play is the image of a murder done in Vienna.
And God created man in his own image.
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Image

Hence: The likeness of anything to which worship is paid; an idol.
Thou shalt not make unto thee any graven image, . . . thou shalt not bow down thyself to them.
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Image

Show; appearance; cast.
The face of things a frightful image bears.
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Image

A representation of anything to the mind; a picture drawn by the fancy; a conception; an idea.
Can we conceiveImage of aught delightful, soft, or great?
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Image

A picture, example, or illustration, often taken from sensible objects, and used to illustrate a subject; usually, an extended metaphor.
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Image

The figure or picture of any object formed at the focus of a lens or mirror, by rays of light from the several points of the object symmetrically refracted or reflected to corresponding points in such focus; this may be received on a screen, a photographic plate, or the retina of the eye, and viewed directly by the eye, or with an eyeglass, as in the telescope and microscope; the likeness of an object formed by reflection; as, to see one's image in a mirror.
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Image

To represent or form an image of; as, the still lake imaged the shore; the mirror imaged her figure.
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Image

To represent to the mental vision; to form a likeness of by the fancy or recollection; to imagine.
Condemn'd whole years in absence to deplore,And image charms he must behold no more.
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Image

an iconic mental representation;
her imagination forced images upon her too awful to contemplate
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Image

a visual representation (of an object or scene or person or abstraction) produced on a surface;
they showed us the pictures of their wedding
a movie is a series of images projected so rapidly that the eye integrates them
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Image

(Jungian psychology) a personal facade that one presents to the world;
a public image is as fragile as Humpty Dumpty
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Image

a standard or typical example;
he is the prototype of good breeding
he provided America with an image of the good father
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Image

language used in a figurative or nonliteral sense
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Image

someone who closely resembles a famous person (especially an actor);
he could be Gingrich's double
she's the very image of her mother
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Image

a representation of a person (especially in the form of sculpture);
the coin bears an effigy of Lincoln
the emperor's tomb had his image carved in stone
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Image

imagine; conceive of; see in one's mind;
I can't see him on horseback!
I can see what will happen
I can see a risk in this strategy
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