Accession Number:

AD0602348

Title:

ON DIFFERENTIABLE MAPPINGS,

Descriptive Note:

Corporate Author:

FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s):

Report Date:

1964-06-12

Pagination or Media Count:

16.0

Abstract:

This article contains mathematical proofs of three theorems on differentiable mappings. Theorems 1 and 2 establish the character of behavior of a mapping near an individual point at which the Jacobian is not equal to zero. Theorem 3 asserts that if the Jacobian is positive is negative at some point, then it is positive is negative also on a set of positive size, and the image of this set is also set of positive size.

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE