On integral equations of the first kind with logarithmic kernels [PDF]
The authors give a detailed study on the existence and uniqueness of the solution for one-dimensional integral equations of the first kind with logarithmic kernels. The analysis is given for both closed and open contours, and existence and uniqueness theorems are established.
Yan, Y., Sloan, I.H.
openaire +3 more sources
Creep‐Induced Microstructural Evolution in an A2‐B2 Superalloy
A 27.3Ta‐27.3Mo‐27.3Ti‐8Cr‐10Al (at.%) refractory high‐entropy alloy with precipitation‐strengthened A2‐B2 microstructure was studied by creep tests at 1030°C, which demonstrate a transition in deformation mechanisms in the range of 100–150 MPa applied stress. This is associated with changes in dislocation–precipitate interactions. Relevant deformation
Liu Yang +10 more
wiley +1 more source
Transportation of measure, Young diagrams and random matrices. [PDF]
The theory of transportation of mesure for general cost functions is used to obtain a novel logarithmic Sobolev inequality for measures on phase spaces of high dimension and hence a concentration of measure inequality.
Blower, Gordon
core
Influence of Test Temperature and Test Frequency on Fatigue Life of Aluminum Alloy EN AW‐2618A
The influence of test temperature and test frequency on the fatigue life of EN AW‐2618A is investigated. High‐cycle fatigue tests are performed at different test temperatures and frequencies on the 1000 h/230°C overaged state. Both test parameters reduce fatigue life due to time‐dependent damage mechanisms.
Ying Han +5 more
wiley +1 more source
On the numerical treatment of the contact problem
The problem of the contact of two elastic bodies of arbitrary shape with a kernel in the form of a logarithmic function—which is investigated from Hertz problem—is reduced to an integral equation.
Abdallah A. Badr
doaj +1 more source
A calculation of the Weyl anomaly for 6D conformal higher spins
In this work we continue the study of the one-loop partition function for higher derivative conformal higher spin (CHS) fields in six dimensions and its holographic counterpart given by massless higher spin Fronsdal fields in seven dimensions.
R. Aros, F. Bugini, D. E. Diaz
doaj +1 more source
n-Kernel orthogonal polynomials on the Dirichlet, Dirichlet-Multinomial, Poisson-Dirichlet and Ewens sampling distributions, and positive-definite sequences [PDF]
We consider a multivariate version of the so-called Lancaster problem of characterizing canonical correlation coe±cients of symmetric bivariate distributions with identical marginals and orthogonal polynomial expansions.
Spanò, Dario, Griffiths, Robert C.
core
Tikhonov regularization for an integral equation of the first kind with logarithmic kernel
In this paper, we discuss stability and Tikhonov regularization for the integral equation of the first kind with logarithmic kernel. Since the kernel is analytic in our case, the problem is severely ill-posed.
Bruckner, Gottfried, Cheng, Jin
core +1 more source
Blood Biomarkers and Surface‐Enhanced Raman Spectroscopy for Gout: A Comprehensive Review
Schematic illustrating gout disease progression from asymptomatic hyperuricemia to chronic tophaceous disease, highlighting the limitations of conventional imaging and biochemical diagnostics and the potential of engineered SERS platforms for ultrasensitive blood‐based detection of urate‐related biomarkers across disease stages, with the color gradient
Isuri Perera +6 more
wiley +1 more source
A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function
By means of the weight functions, the technique of real analysis and Hermite-Hadamard’s inequality, a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of logarithmic function and a best possible constant factor is given ...
Aizhen Wang, Bicheng Yang
doaj +1 more source

