### Some articles on *preimage, preimages*:

Interpretation (model Theory) - Definition

... and is a surjective map from a subset of Nn onto M such that the -

... and is a surjective map from a subset of Nn onto M such that the -

**preimage**(more precisely the -**preimage**) of every set X ⊆ Mk definable in M by a first-order formula without parameters is ... To verify that the**preimage**of every definable (without parameters) set in N is definable in M (with or without parameters), it is sufficient to check the**preimages**of the following definable sets the ...Image (mathematics) - Inverse Image

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**Preimage**" redirects here ... attack on hash functions, see**preimage**attack ... The**preimage**or inverse image of a set B ⊆ Y under f is the subset of X defined by The inverse image of a singleton, denoted by f −1 or by f −1, is also called the fiber over y or the level set of y ...Fiber (mathematics)

... Y is the inverse image (also known as the

... Y is the inverse image (also known as the

**preimage**) of the singleton {y} under f, that is, In various applications, this is also called The**preimage**of y under f, or the ... Note that this terminology usually refers to the**preimages**of subsets of Y thus, to refer to the fiber of y one generally would call it the**preimage**of the singleton {y} under f) The level set of y under ...**Preimage**Theorem

... mathematics, particularly in differential topology, the

**preimage**theorem is a theorem concerning the

**preimage**of particular points in a manifold under the action of a smooth map ...

Interpretation (model Theory) - Example

... To see that it is an interpretation (without parameters), one needs to check the following

... To see that it is an interpretation (without parameters), one needs to check the following

**preimages**of definable sets in Q the**preimage**of Q is defined by the formula φ(x, y) given ...Main Site Subjects

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