### Some articles on *cauchy*:

**Cauchy**Elastic Material - Mathematical Definition

... Formally, a material is said to be

**Cauchy**-elastic if the

**Cauchy**stress tensor is a function of the strain tensor (deformation gradient) alone This definition assumes that the effect of temperature ... This is the constitutive equation for a

**Cauchy**-elastic material ... Knowing that the

**Cauchy**stress tensor and the deformation gradient are objective quantities, one can write where is a proper orthogonal tensor ...

List Of Aircraft (D) - D - Délémontez-

... (Jean Délémontez et Alain Cauchy) Délémontez-Cauchy DC-1. ...

**Cauchy**... (Jean Délémontez et Alain Cauchy) Délémontez-Cauchy DC-1. ...

**Cauchy**-continuous Function - Generalisations

...

**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**Elastic Material - Isotropic

**Cauchy**-elastic Materials

... For an isotropic material the

**Cauchy**stress tensor can be expressed as a function of the left

**Cauchy**-Green tensor ...

**Cauchy**-continuous Function

... 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 ...

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