# Cauchy

### Some articles on cauchy:

List Of Aircraft (D) - D - Délémontez-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-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 ...
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 ... 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 ...
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 ...