t=1 Xt ≤ 2 max { 2 √ σ, √ ln( 1δ ) }√ ln( 1δ ) = Õ( √ σ), by choosing δ 1 log2(T ) . This implies inequality (2). Inequality (3) is proved similarly. Note that these high probability bounds are conditioned on the internal randomness of WL. By taking an expectation of this conditional probability over the internal randomness of WL, we conclude that inequalities (2) and (3) hold with high probabi...

In this paper we present a novel graph kernel framework inspired the by the Weisfeiler-Lehman (WL) isomorphism tests. Any WL test comprises a relabelling phase of the nodes based on test-specific information extracted from the graph, for example the set of neighbours of a node. We defined a novel relabelling and derived two kernels of the framework from it. The novel kernels are very fast to co...

This study aimed to evaluate whole white lupin (cv. Amiga) seeds as an alternative dietary crude protein source to soybean and sunflower meal. Diets contained soybean meal (10%, SBM diet), sunflower meal (17%, SFM diet) or white lupin seeds (15%, WL diet) as the main protein source. The experimental diets were similar in the level of crude protein (16.2%), starch (15.0%), fat (4.6%) and in the ...

The purpose of this study was to investigate the influence of cervical preflaring on determination of the initial apical file in maxillary lateral incisors. Forty human lateral incisors with complete root formation were used. After standard access cavities, a size 06 K-file was inserted into each canal until the apical foramen was reached. The WL (WL) was set 1 mm short of the apical foramen. F...

The views expressed in this publication are those of the authors and not necessarily those of the funders. There is an urgent need for cost-effective interventions to promote weight loss maintenance (WLM) and this presents an important opportunity for our discipline. Firstly, health psychologists can make a contribution to solving this important public health issue. With their knowledge of theo...

The purpose of this study was to investigate the influence of cervical preflaring on determination of the initial apical file in mesiobuccal roots of maxillary molars. Fifty first molars with degree of curvature of the mesiobuccal root between 10 degrees and 15 degrees were utilized. After standard access opening and removal of pulp tissue, the working length (WL) was determined at 1 mm from th...

We study possibilities to realize a nonvanishing finite Wilson line (WL) scalar mass in flux compactification. Generalizing loop integrals the quantum correction WL at one-loop, we derive conditions for and mode sums one-loop corrections be finite. further guess classify four-point three-point interaction terms satisfying these conditions. As an illustration, is explicitly shown six dimensional...

We construct a 2-variable link polynomial, called WL, for classical links by considering simultaneously the Kauffman state models for the Alexander and for the Jones polynomials. We conjecture that this polynomial is the product of two 1-variable polynomials, one of which is the Alexander polynomial. We refine WL to an ordered set of 3-variable polynomials for those links in 3-space which conta...