References in raw/Page_61.html

• PCU: the programmable culling unit
  J Hasselgren, T Akenine-Möller - ACM SIGGRAPH 2007 papers, 2007 - dl.acm.org
  ... reasons for discarding affine arithmetic (apart ... affine arithmetic, and that the texture lookups instantly break all linear dependencies. We did some preliminary tests using affine arithmetic ...
  

• A fast and flexible accuracy-guaranteed fractional bit-widths optimization approach
  L Zhang, Y Zhang, W Zhou - 2009 IEEE International ..., 2009 - ieeexplore.ieee.org
  ... [5] use Affine Arithmetic (AA), which considers the correlations among signals, to model range and precision analyses. However range and precision are solved in one single affine ...
  

• Extended analysis of a damage prognosis approach based on interval arithmetic
  C Surace, K Worden - Strain, 2011 - Wiley Online Library
  ... to interval arithmetic, termed affine arithmetic [15], which, in many ... Another advantage of
  

• A solution algorithm for a system of interval linear equations based on the constraint interval point of view
  M Keyanpour, M Taber, W Lodwick - Realible Comput, 2018 - interval.louisiana.edu
  ... There, in particular, affine arithmetic of [13] is discussed. In [5] many types of interval arithmetics are discussed, not just affine arithmetic. Affine arithmetic deals with dependencies via a ...
  

• An Introduction to Proofs with Set Theory
  D Ashlock, C Lee - Synthesis Lectures on Mathematics and ..., 2020 - morganclaypool.com
  This text is intended as an introduction to mathematical proofs for students. It is distilled from the lecture notes for a course focused on set theory subject matter as a means of teaching ...
  

• A reliable affine relaxation method for global optimization
  J Ninin, P Hansen, F Messine - 2010 - optimization-online.org
  ... In this paper, the main idea is to use affine arithmetic [4... as for interval arithmetic, affine
  

• An interval sequential linear programming for nonlinear robust optimization problems
  J Tang, C Fu, C Mi, H Liu - Applied Mathematical Modelling, 2022 - Elsevier
  ... Wang and Qing [30] utilized mixed interval arithmetic and affine arithmetic method to obtain affine approximations of the objective function and constraints to transform the robust ...
  

• Inner regions and interval linearizations for global optimization
  G Trombettoni, I Araya, B Neveu... - Proceedings of the AAAI ..., 2011 - ojs.aaai.org
  ... Ninin et al. were guided to this choice by their affine arithmetic, but we believe that this is a relevant approach for any global optimization solver. First, both policies are of equal status ...
  

• Introduction to the Special Section on Computer Arithmetic
  J Hormigo, JM Muller, S Obermann... - IEEE Transactions ..., 2017 - hal.archives-ouvertes.fr
  ... encompass interval arithmetic, algorithms and applications and related topics such as the use of floating-point arithmetic for implementation issues, variants such as affine arithmetic or ...
  

• Networked adaptive classification for cyber-physical systems
  M Gilberti - 2011 - dspace.sunyconnect.suny.edu
  ... Affine Arithmetic is used to optimize both the range and precision of the fixed-point numbers.