and Applied Analysis 3 The rest of this paper is organized as follows. In Section 2, we give notations, definition, propositions, and lemma for using in the proof of the main results. Delay-dependent sufficient conditions of guaranteed cost control for exponential synchronization of cellular neural networks with various activation functions and interval and distributed timevarying delays with m...

A general capacity formula C = sup X I(X; Y), which is correct for arbitrary single-user channels without feedback, is introduced in this tutorial. This new capacity formula is obtained by using a general channel model without any assumptions of the channel, introducing the notion of inf/sup-information/entropy rates, and finding a new tight converse bound on the error probability. In Section 1...

In this chapter, we consider the sequential interval estimation of the limiting interval reliability of a repairable system when the sequences of failure and repair times are generated by a bivariate stationary dependent sequence. In Section 7.2, we discuss the estimation of the limiting interval reliability ( ) R x for a stationary strong mixing bivariate sequence of failure and repair times. ...

1 Legalization and development: proofs In this section, we provide proofs for the statements made in section 5.2 of the paper: if the overall process of development increases parameter values x, h, v, f and decreases σ, the scope for legalization decreases. In section 3, we assume that development scales all parameters by a common factor β. In Section 3.1, we assume that the sensibility to corr...

This is the supplementary material for the paper entitled “Self-Paced Learning with Diversity”. The material is organized as follows: Section 1 gives the proof of Theorem 1. Section 2.1 and Section 2.2 present the detailed experimental settings and results on the MED (Multimedia Event Detection) dataset. Section 2.3 and Section 2.4 present the settings and detailed results on the Hollywood2 and...

At the end of Section 2 of the main paper, the semiparametric model framework within which we derive the proposed methods is stated, and is repeated here for convenience. The data from a clinical trial are denoted by (Yi, Xi, Zi), i = 1, . . . , n, assumed iid across i, where Y denotes the response of interest; X is a vector of baseline auxiliary covariates; and Z = 1, . . . , k depending on to...

Unintegrated parton density functions (uPDFs) are best suited to study details of the hadronic final state in high energy ep and also in pp collisions (for a review see [1–7]). In general, the production cross section for jets, heavy quarks or gauge bosons can be written as a convolution of the uPDF A(x, k ⊥ , q̄) with the partonic off-shell cross section σ̂(xi, k 2 ⊥ ), with xi, k⊥ being the lon...

We report experimental results demonstrating 54% power conversion efficiency ~43% energy conversion efficiency!, from a two-stage X-band traveling wave tube amplifier designed for high-power operation. The first stage of the amplifier is a 12-cm-long Boron Nitride dielectric section used to modulate the electron beam. The second stage consists of a long high-phase-velocity bunching section foll...

habit and pollen morphology were studied in four taxa belonging to astragalus sect. macrophyllium in iran. data obtained from pollen morphology support the phenetic grouping based on habit morphology. in addition, meiotic chromosome number and behavior were analyzed in two species of the section. the species were cytogenetically analyzed and found to be tetraploid and possess a 2n = 4x = 32 chr...

Let p be a prime number, Fp be a finite field and t ∈ Fp = Fp − {0}. In this paper we obtain some properties of elliptic curves Ep,t : y = y = x − tx over Fp. In the first section we give some notations and preliminaries from elliptic curves. In the second section we consider the rational points (x, y) on Ep,t. We give a formula for the number of rational points on Ep,t over Fp for an integer n...