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Journal Article
Finite deformation of harmonic solids with cusp cracks
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Xu Wang and Peter Schiavone
IMA Journal of Applied Mathematics, Volume 79, Issue 5, October 2014, Pages 790–803, https://doi.org/10.1093/imamat/hxt051
Published: 23 January 2014
... is a harmonic solid containing a pore having
an n-fold axis of symmetry under a remote hydrostatic loading.
Keywords: cusp crack; hyperelastic material; finite deformation; non-linear equation; analytical solution;
stress intensity factor; T-stress.
1. Introduction
In linear elastic fracture...
Journal Article
Confidence Intervals for Elasticities and Flexibilities from Linear Equations
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Stephen E. Miller and others
American Journal of Agricultural Economics, Volume 66, Issue 3, August 1984, Pages 392–396, https://doi.org/10.2307/1240807
Published: 01 August 1984
... and flexibilities. Empirical examples indicate that exact 95 percent confidence intervals for price flexibilities for food items can be quite wide. confidence interval elasticity Fieller's theorem flexibility linear equation Confidence Intervals for Elasticities and
Flexibilities...
Chapter
n-Point Correlation Functions: Descriptive Statistics
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P. J. E. Peebles
Published: 15 September 2020
... proved useful in many other applications. Of considerable practical importance has been the fact that there is a simple linear equation relating the directly observable angular correlation function to the wanted spatial function. This means the translation from one to the other is fairly easy...
Chapter
To infinity and beyond!
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Peter M. Higgins
Published: 24 February 2011
... may allow us to represent irrational numbers through infinite continued fractions. Galileo Galilei Hilbert Hotel set Cantor Georg number integers Russell's paradox ternary binary neighbourhood Diophantine equation lattice point linear equation Pythagorean triple Fermat Pierre de...
Chapter
The Mathematics of Causal Relations
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Judea Pearl
Published: 03 February 2011
... in light of new evidence or new measurements. Algebra Back-door criterion Causal effect Endogenous variable Independence Linear equation Mediation analysis Noncompliance Path diagram Sufficient set Almost two decades have passed since Paul Holland published his highly cited review paper...
Chapter
Why Growth Rates Differ, I
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Maurice FitzGerald Scott
Published: 06 June 1991
... ); see text. A linear equation, in which growth of output is determined by the share of investment and the growth of quality‐adjusted employment, is derived from the model, and fitted by ordinary least squares regression to 26 observations for a non‐residential business in different countries and periods...
Chapter
The Survivor Problem: Simple Linear Regression with MCMC
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Therese M. Donovan and Ruth M. Mickey
Published: 23 May 2019
..., the posterior predictive distribution is estimated and discussed. By the end of the chapter, the reader will have a firm understanding of the following concepts: linear equation, sums of squares, posterior predictive distribution, and linear regression with Markov Chain Monte Carlo and Gibbs sampling. functions...
Chapter
The Non-Homogeneous Linear Equation
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Peter J Collins
Published: 03 August 2006
...0 03 08 2006 In this chapter we shall consider the non-homogeneous second-order linear equation where f : [a , b ] → ℝ and each p i: [a , b ] → ℝ are continuous...
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