We propose a linear-logarithmic CMOS image sensor with reduced fixed pattern noise (FPN). The proposed linear-logarithmic pixel based on a conventional 3-transistor active pixel sensor (APS) structure has additional circuits in which a photogate and a cascade MOSFET are integrated with the pixel structure in conjunction with the photodiode. To improve FPN, we applied the PMOSFET hard reset meth...

In the recent interior point methods for linear programming much attention has been given to the logarithmic barrier method. In this paper we will analyse the class of inverse barrier methods for linear programming, in which the barrier is P x r i , where r > 0 is the rank of the barrier. There are many similarities with the logarithmic barrier method. The minima of an inverse barrier function ...

We extend and apply a rigorous renormalisation group method to study critical correlation functions, on the 4-dimensional lattice Z4, for the weakly coupled n-component |φ|4 spin model for all n ≥ 1, and for the continuous-time weakly self-avoiding walk. For the |φ|4 model, we prove that the critical two-point function has |x|−2 (Gaussian) decay asymptotically, for n ≥ 1. We also determine the ...

Solutions to a singular one-dimensional Vlasov equation are obtained as the semiclassical limit of the Wigner transform associated to a logarithmic Schrödinger equation. Two frameworks are considered, regarding in particular the initial position density: Gaussian initial density, or smooth initial density away from vacuum. For Gaussian initial densities, the analysis also yields global solution...

We present a method for the analytic solution of small x structure functions. The essential small x logarithms are summed to all orders in the anomalous dimensions and coefficient functions. Although we work at leading logarithmic accuracy, the method is general enough to allow the systematic inclusion of sub-leading logarithms. Results and predictions are presented for the gluon density, and t...

Hybrid asymptotic-numerical methods are used to study various singular perturbation problems where innnite logarithmic asymptotic expansions occur. In particular, they are used to sum the innnite logarithmic expansions that arise for a low Reynolds number ow problem and for certain two-dimensional eigenvalue problems in perforated domains. Asymptotic and numerical methods are also used to analy...

Boundary value problems of the third kind are converted into boundary integral equations of the second kind with periodic logarithmic kernels by using Green’s formulas. For solving the induced boundary integral equations, a Nyström scheme and its extrapolation method are derived for periodic Fredholm integral equations of the second kind with logarithmic singularity. Asymptotic expansions for t...

Suux array is a data structure that can be used to index a large text le so that queries of its content can be answered quickly. Basically a suux array is an array of all suuxes of the text in the lexico-graphic order. Whether or not a word occurs in the text can be answered in logarithmic time by binary search over the suux array. In this work we present a method to compress a suux array such ...