vector<pair<int,string>>data(n);...sort(data.begin(),data.end(),myComp); After having sorted the vector we may use binary search to find entries: autoit=lower_bound(data.begin(),data.end(),{INT_MIN,"someString"},myComp);if(it!=data.end())cout<<"found first string >=someStrin...
44 + lbsUnique :: UInt # number of unique lower-bound values 45 + lbsFreq :: LBValsFreq # frequencies of lower-bound values 46 + end 47 + LBStat() = LBStat(0, 0, LBValsFreq()) 48 + LBStat(lbsFreq :: LBValsFreq) = 49 + LBStat(length(lbsFreq), lengthUnique(lbsFreq...
lower bound on the monotone arithmetic circuit size of a related polynomial via a very simple proof. finally, we introduce a notion of robust clique-sunflowers and use this to prove an \(n^{\varomega (k)}\) lower bound on the monotone circuit size of the clique function for all \(k ...
but eliciting both neutralizing antibodies (nAbs) and cellular responses may be superior. Here, we immunized macaques with an HIV envelope trimer, either alone to induce nAbs, or together with a heterologous viral vector regimen to elicit nAbs and cellular immunity, including CD8+tissue-resident mem...
Let {Xj}1≤j≤n be a basis for the left-invariant vector fields of degree one on G. Let Δ=∑j=1nXj2 be the sub-Laplacian on G. Consider the jth Riesz transform on G which is defined as Rj:=Xj(−Δ)−12. It is well-known that the Riesz transform Rj is a Calderón–...
maximum interior angle. Notice that a large constantleads to a largein (1.1) and so,enforces smalland restricts the GLB to very fine meshes. The main motivation of this work arises from the convenient bound: Can we design a discretization method of the third category (iii) based onin (...
Although treatment of oxophilic, highly reducing (C5Me5)2Ln led to μ-E species, slow crystallization of (C5Me5)2Sm from toluene under N2 gave the first dinitrogen complex of an f element [(C5Me5)2Sm]2(μ-η2 : η2-N2) (108) containing an unusual side-on bound N2 ligand and...
By accepting optional cookies, you consent to the processing of your personal data - including transfers to third parties. Some third parties are outside of the European Economic Area, with varying standards of data protection. See our privacy policy for more information on the use of your perso...
Section 2 formally defines our distance measure and shows that it can be computed separately for each dimen- sion of the feature vector. Section 3 introduces our multi-resolution lower-bound approach. Section 4 explains how the lower bounds can be used for similarity search, both by sequential ...
The new upper bound for ‖sinΘ(X1,X˜1)‖F has the same structure as most upper bounds for sines between angles of eigenspaces spanned by the columns of X1 and X˜1, respectively. With some additional assumption on the matrix B (for more details see Section 2) it has the followi...