We propose a new conndence score for decoding and veriication. Since the traditional log likelihood ratio (LLR) is borrowed from speaker veriication technique, it may not be apropriate for decoding because we do not have a good modelling and deenition of LLR for decoding/utterance veriication. We have proposed a new formulation of LLR that can be used for decoding and veriication task. Experime...

Let p be an odd prime, and a, b be two integers. It is the purpose of the paper to determine the values of u(p±1)/2(a, b) (mod p), where {un(a, b)} is the Lucas sequence given by u0(a, b) = 0, u1(a, b) = 1 and un+1(a, b) = bun(a, b) − aun−1(a, b) (n > 1). In the case a = −c2, a reciprocity law is established. As applications we obtain the criteria for p | u p−1 4 (a, b) (if p ≡ 1 (mod 4)) and f...

Many properties of special polynomials, such as recurrence relations, sum formulas, and symmetric have been studied in the literature with help generating functions their functional equations. In this paper, using (p,q)–Fibonacci (p,q)–Lucas Changhee numbers, we define (p,q)–Fibonacci–Changhee polynomials (p,q)–Lucas–Changhee respectively. We obtain some important identities relations these new...

Reliably tracking key points and textured patches from frame to frame is the basic requirement for many bottomup computer vision algorithms. The problem of selecting the features that can be tracked well is addressed here. The Lucas-Kanade tracking procedure is commonly used. We propose a method to estimate the size of the tracking procedure convergence region for each feature. The features tha...

Around 50 years ago, Edmund Phelps and Robert Lucas proposed an answer to the question why changes in aggregate nominal spending bring about output employment effects, instead of purely proportional variations prices. The Phelps-Lucas monetary misperception hypothesis asserted that imperfect information state economy may cause sluggish price or wage adjustment emerge as reactions shocks otherwi...

In this paper, we define and investigate the generalized Friedrich sequences deal with, in detail, two special cases, namely, Friedrich-Lucas sequences. We present Binet's formulas, generating functions, Simson summation formulas for these Moreover, give some identities matrices related with Furthermore, show that there are close relationsbetween Friedrich, third order Jacobsthal, modified thir...

Abstract In this note, we establish some general results for two fundamental recursive sequences that are the basis of many well-known sequences, as Fibonacci sequence, Lucas Pell Pell-Lucas etc. We limit formulas, where product first n terms these appears. Furthermore, prove limits connect to number e (? 2:71828:::).

Lucas Garron: August 4, 2005