Fig. 1.3 clarifies the situation and also shows two examples of broken circular objects. In case (a), the circle is only slightly distorted and thus its centroid C remains virtually unchanged; hence, much of the centroidal plot remains at a distance R above the θ-axis. However, in case ...
In this contribution, we describe an attack on the secret key of IP with one secret and demonstrate its efficiency through examples with realistic parameter sizes. The attack is carried out by means of a computer algebra system on "ordinary PCs". Finally, we give a brief discussion of limits...
Their standard examples are the functions φ(r):=(logr)θ1(loglogr)θ2…(log…log ktimesr)θkofr≫1, where the parameters k∈ ℕ and θ1,θ2,..., θk∈ R are arbitrary. Let s∈ ℝ and φ∈ 𝓜. We put Hs,s/2;φ (ℝk)≔ Hμ(ℝk)in the case where μ ...
incidenceringofPwithcoefficientsinR,denotedbyI(P,R)(orsimplybyAthroughoutthisarticle),istheringoffunctions{f:P×P→R|f(x,y)=0∀x ≤y};multiplicationisgivenby(fg)(x,y)= x≤z≤yf(x,z)g(z,y)(andiswell-definedduetothelocalfinitenessconditiononP).TheringI(P,R)mayalsobeview...
Examples ofaan asymmetric ligand (PDB Ligand ID: CFF);ba slightly symmetric ligand (PDB Ligand ID: IBP);ca highly symmetric ligand (PDB Ligand ID: QN3).dAn example ligand structure (left) and the resulting ligand structure when the atoms are reordered according to the optimal query-template ...
Feature papers represent the most advanced research with significant potential for high impact in the field. A Feature Paper should be a substantial original Article that involves several techniques or approaches, provides an outlook for future research directions and describes possible research ...
Consider arbitrary vectors a ∈ B q , X 1 ∈ R n and a solution x of the initial value problem (10). We need to show that x ( t ) ∈ B q for all t ∈ [ 0 , 1 ] . Since x ( · ) is a geodesic in B q with metric tensor G, the function x ˙ ( t ) ⊤ G (...