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» Uniqueness, Continuity, and Existence of Implicit Functions ...
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CCA
2009
Springer
14 years 5 months ago
Uniqueness, Continuity, and Existence of Implicit Functions in Constructive Analysis
We extract a quantitative variant of uniqueness from the usual hypotheses of the implicit functions theorem. This leads not only to an a priori proof of continuity, but also to an ...
Hannes Diener, Peter Schuster
RC
2002
70views more  RC 2002»
13 years 10 months ago
On Existence and Uniqueness Verification for Non-Smooth Functions
Given an approximate solution to a nonlinear system of equations at which the Jacobi matrix is nonsingular, and given that the Jacobi matrix is continuous in a region about this ap...
R. Baker Kearfott
PLDI
2010
ACM
14 years 8 months ago
Complete Functional Synthesis
Synthesis of program fragments from specifications can make programs easier to write and easier to reason about. To integrate synthesis into programming languages, synthesis algor...
Viktor Kuncak, Mika l Mayer, Ruzica Piskac, Philip...
ARC
2007
Springer
95views Hardware» more  ARC 2007»
13 years 11 months ago
Time delay systems with distribution dependent dynamics
General delay dynamical systems in which uncertainty is present in the form of probability measure dependent dynamics are considered. Several motivating examples arising in biolog...
H. T. Banks, Sava Dediu, Hoan K. Nguyen
SIGGRAPH
1992
ACM
14 years 2 months ago
Interval analysis for computer graphics
This paper discusses how interval analysis can be used to solve a wide variety of problems in computer graphics. These problems include ray tracing, interference detection, polygo...
John M. Snyder