In mathematics, the **Cauchy principal value**, named after Augustin Louis Cauchy, is a method for assigning values to certain improper integrals which would otherwise be undefined.

Read more about Cauchy Principal Value: Formulation, Examples, Distribution Theory, Nomenclature

### Other articles related to "cauchy principal value, principal value, cauchy":

Improper Integral -

... Consider the difference in values of two limits The former is the

**Cauchy Principal Value**... Consider the difference in values of two limits The former is the

**Cauchy principal value**of the otherwise ill-defined expression Similarly, we have but The former is the**principal value**of the ...Cauchy Elastic Material - Isotropic Cauchy-elastic Materials

... For an isotropic material the

... For an isotropic material the

**Cauchy**stress tensor can be expressed as a function of the left**Cauchy**-Green tensor ...**Cauchy Principal Value**- Nomenclature

... The

**Cauchy principal value**of a function can take on several nomenclatures, varying for different authors ...

Cauchy-continuous Function - Generalisations

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**Cauchy**continuity makes sense in situations more general than metric spaces, but then one must move from sequences to nets (or equivalently filters) ... The definition above applies, as long as the**Cauchy**sequence (x1, x2, …) is replaced with an arbitrary**Cauchy**net ... Equivalently, a function f is**Cauchy**-continuous if and only if, given any**Cauchy**filter F on X, then f(F) is a**Cauchy**filter on Y ...Cauchy-continuous Function

... In mathematics, a

... In mathematics, a

**Cauchy**-continuous, or**Cauchy**-regular, function is a special kind of continuous function between metric spaces (or more general spaces) ...**Cauchy**-continuous functions have the useful property that they can always be (uniquely) extended to the**Cauchy**completion of their domain ...### Famous quotes containing the word principal:

“In our country today, very few children are raised to believe that their *principal* destiny is to serve their family, their country, or God.”

—Benjamin Spock (b. 1903)

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