Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • AN ORDER ANALYSIS OF HYPERFINITE BOREL EQUIVALENCE RELATIONS

  • Part of
  • SU GAO, MING XIAO
  • Journal:
    The Journal of Symbolic Logic , First View
    Published online by Cambridge University Press:
    21 March 2025, pp. 1-23

  • In this paper we first consider hyperfinite Borel equivalence relations with a pair of Borel $\mathbb {Z}$-orderings. We define a notion of compatibility between such pairs, and prove a dichotomy theorem which characterizes exactly when a pair of Borel $\mathbb {Z}$-orderings are compatible with each other. We show that, if a pair of Borel $\mathbb {Z}$-orderings are incompatible, then a canonical incompatible pair of Borel $\mathbb {Z}$-orderings of $E_0$ can be Borel embedded into the given pair. We then consider hyperfinite-over-finite equivalence relations, which are countable Borel equivalence relations admitting Borel $\mathbb {Z}^2$-orderings. We show that if a hyperfinite-over-hyperfinite equivalence relation E admits a Borel $\mathbb {Z}^2$-ordering which is self-compatible, then E is hyperfinite.

  • 11 - Radiated Sound Pressure Prediction

  • Erkan Dokumacı
  • Book:
    Duct Acoustics
    Published online:
    11 May 2021
    Print publication:
    13 May 2021, pp 474-500

  • Summary

    Chapter 11 describes calculation of the sound pressure level at a point in the acoustic field of an in-duct source. Insertion loss of a silencer is shown to be represented approximately by source-independent parameters under certain conditions. The discussion encompasses multi-modal sound propagation and radiation and the ASHRAE method of silencer sizing in ventilation and air distribution systems.