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  • Integrating Materials Model-Based Definitions into Design, Manufacturing, and Sustainment: A Digital Twin Demonstration of Incorporating Residual Stresses in the Lifecycle Analysis of a Turbine Disk
Title: Integrating Materials Model-Based Definitions into Design, Manufacturing, and Sustainment: A Digital Twin Demonstration of Incorporating Residual Stresses in the Lifecycle Analysis of a Turbine Disk
Award ID(s):
1651956
PAR ID:
10279710
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Journal of computing and information science in engineering
Volume:
21
Issue:
2
ISSN:
1944-7078
Page Range / eLocation ID:
021006
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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    In this paper we show that every set A⊂ℕ with positive density contains B+C for some pair B,C of infinite subsets of ℕ, settling a conjecture of Erd\H os. The proof features two different decompositions of an arbitrary bounded sequence into a structured component and a pseudo-random component. Our methods are quite general, allowing us to prove a version of this conjecture for countable amenable groups. 
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