Condition for Occurrence of Logarithmic Stress Singularity.
نویسندگان
چکیده
منابع مشابه
Nonuniformly Expanding 1D Maps With Logarithmic Singularity
Let fa,L : R→ R be such that (1) fa,L : θ 7→ θ + a + L ln |Φ(θ)| where a ∈ [0, 1], L ∈ R are real parameters and Φ(θ) is such that Φ(θ + 1) = Φ(θ). We assume that Φ(θ) is a Morse function and the graph of y = Φ(θ) is transversal to the θ-axis. The functions fa,L induce a two parameter family of 1D maps from S1 to S1 where S1 = R/Z is the unit circle. In this paper we prove that there exists an ...
متن کاملSingularity preserving Galerkin method for Hammerstein equations with logarithmic kernel
In a recent paper [3], Y. Cao and Y. Xu established the Galerkin method for weakly singular Fredholm integral equations that preserves the singularity of the solution. Their Galerkin method provides a numerical solution that is a linear combination of a certain class of basis functions which includes elements that reflect the singularity of the solution. The purpose of this paper is to extend t...
متن کاملThe logarithmic law of sample covariance matrices near singularity
Let B = (bjk)p×n = (Y1, Y2, · · · , Yn) be a collection of independent real random variables with mean zero and variance one. Suppose that Σ is a p by p population covariance matrix. Let Xk = Σ Yk for k = 1, 2, · · · , n and Σ̂1 = 1 n ∑n k=1XkX T k . Under the moment condition supp,n max1≤j≤p,1≤k≤n Ebjk < ∞, we prove that the log determinant of the sample covariance matrix Σ̂1 satisfies log det Σ̂...
متن کاملCan Computers Become Conscious, an Essential Condition for the Singularity?
Given that consciousness is an essential ingredient for achieving Singularity, the notion that an Artificial General Intelligence device can exceed the intelligence of a human, namely, the question of whether a computer can achieve consciousness, is explored. Given that consciousness is being aware of one’s perceptions and/or of one’s thoughts, it is claimed that computers cannot experience con...
متن کاملGeometric Condition of Singularity of ) ( 22 3 MSS Δ
The aim of this paper is to investigate the geometric condition of singularity of ) ( 2 2 3 MS S Δ . The algebraic of singularityof ) ( 2 2 3 MS S Δ is obtained in (Luo and Chen, 2005). The result of this paper will be useful to further study the geometric condition of singularity of ) 3 )( ( 1 > Δ + μ μ μ μ MS S .
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: JSME International Journal Series A
سال: 1997
ISSN: 1344-7912,1347-5363
DOI: 10.1299/jsmea.40.298