Results 121 to 130 of about 497,921 (244)

Optimized and Aligned Anisotropic Monte Carlo Sampling Patterns

Computer Graphics Forum, EarlyView.
Abstract Path tracing uses Monte Carlo integration to solve the rendering equation by evaluating the integrand at random sampling points. The convergence rate of the error can be significantly improved by using correlated instead of random sampling, especially on smooth integrands.
Mirco Werner, Johannes Hanika, Carsten Dachsbacher   +2 more
wiley   +1 more source

Bessel orbits of normal operators

Journal of Mathematical Analysis and Applications, 2017
Given a bounded normal operator $A$ in a Hilbert space and a fixed vector $x$, we elaborate on the problem of finding necessary and sufficient conditions under which $(A^kx)_{k\in\mathbb N}$ constitutes a Bessel sequence. We provide a characterization in terms of the measure $\|E(\cdot)x\|^2$, where $E$ is the spectral measure of the operator $A$.
openaire   +3 more sources

A Mixed Problem with an Integral Two-Space-Variables Condition for Parabolic Equation with The Bessel Operator

Journal of Mathematics, 2013
We study a mixed problem with an integral two-space-variables condition for parabolic equation with the Bessel operator. The existence and uniqueness of the solution in functional weighted Sobolev space are proved. The proof is based on a priori estimate
Bouziani Abdelfatah, Oussaeif Taki-Eddine, Ben Aoua Leila   +2 more
doaj   +1 more source

Beyond single cells: Ten years of commercial lattice light‐sheet microscopy

Journal of Microscopy, EarlyView.
Abstract Lattice light‐sheet microscopy (LLSM) enables gentle, rapid, volumetric fluorescence imaging of living biological systems. The technique employs Bessel beam interference to produce a light‐sheet which retains its thickness over a relatively large field‐of‐view compared to other light‐sheets.
Helena L. E. Coker, David S. Corcoran
wiley   +1 more source

Relative Arbitrage Opportunities With Interactions Among N Investors

Mathematical Finance, EarlyView.
ABSTRACT The relative arbitrage portfolio outperforms a benchmark portfolio over a given time‐horizon with probability one. With market price of risk processes depending on the market portfolio and investors, this paper analyzes the multi‐agent optimization of relative arbitrage opportunities in the coupled system of market and wealth dynamics.
Tomoyuki Ichiba, Nicole Tianjiao Yang
wiley   +1 more source

GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE GENERALIZED FOURIER-BESSEL TRANSFORM [PDF]

International Journal of Mathematical Modelling & Computations, 2016
In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Bessel transform in the space L2 on certainclasses of functions.
S. El ouadih, R. Daher, M. El hamma
doaj  

The Diremption of Meaning

Modern Theology, EarlyView.
Abstract Examining work by Rowan Williams, this essay explores what he often refers to as the ‘difficulty’ of writing theology. The difficulty of theology lies in engaging the ruse of having ultimate answers to ultimate questions. The stakes are high: ‘God‐talk’ must concern itself with truth, with reality.
Graham Ward
wiley   +1 more source

Several Subordination Features Using Bessel-Type Operator

Mathematics
For the function solution to the well-known homogeneous Bessel differential equation, we utilized a normalized form of this function to define a certain operator on a subclass of analytic functions.
Rabab Alyusof, Rabha M. El-Ashwah, Alaa H. El-Qadeem   +2 more
doaj   +1 more source

Developmental mechanisms contributing to non‐linear firing dynamics in spinal motoneurons of the postnatal mouse

The Journal of Physiology, EarlyView.
Abstract figure legend. In this study, we describe how persistent inward currents (PICs) and nonlinear firing dynamics mature in slow‐type (green) and fast‐type (purple) motoneurons (MNs) during the second and third postnatal weeks of development in mice.
Simon A. Sharples, Gareth B. Miles
wiley   +1 more source

Hardy inequalities with Bessel pair for Dunkl operator

Advanced Nonlinear Studies
Using the notion of a Bessel pair, we study the Hardy type inequalities in the setting of Dunkl operator. We also establish a general symmetrization principle for weighted Hardy type inequalities with Dunkl operator in the situation that the standard ...
Nguyen Duy Tuan, Nguyen Phong Van, Pham Hien Thi Thu   +2 more
doaj   +1 more source