Order by created on/last modified time ascending. LastModifiedDescending = 2 Order by created on/last modified time descending. DefinitionNameAscending = 3 Order by definition name ascending. DefinitionNameDescending = 4 Order by definition name descending.意見反映 此頁面有幫助嗎? 是 否 中文...
will denote a bounded cad. definition 2.5 for a measure \(\mu \) on \(\omega \) if the quantity $$\begin{aligned} \vert \mu \vert _{\mathcal {c}}:= \sup _{\delta \subset \partial \omega } \frac{1}{\sigma (\delta )}\int _{t(\delta )}d\mu , \end{aligned}$$ is ...
structure of hyperedges and provided evidence of a structural reinforcement mechanism that associates stronger weights of higher-order interactions to groups of nodes that interact more at the pairwise level. Similarly to the case of traditional pairwise network motifs, we believe that higher-order ...
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the first j exact and pairwise orthonormal eigenfunctions \(\phi _1, \dots , \phi _j \in v\) of ( 1.5 ) satisfy that \(\pi _{p+1} \phi _1, \dots , \pi _{p+1} \phi _j \in p_{p+1}(\mathcal {t})\) are linear independent. the proof follows the lines of step 2...
the optimal network in synchronizability is always structurally asymmetric27. Different from the pairwise interaction, higher-order interactions induce intriguing effects on synchronization28,29,30,31. However, except for the specific network structure, e.g., star-clique topology28, how the network top...
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queue<pair<int, TreeNode*>> q; q.push({0, root}); while(!q.empty()) { autoa = q.front(); q.pop(); m[a.first].push_back(a.second->val); if(a.second->left) q.push({a.first - 1, a.second->left}); if(a.second->right) q.push({a.first + 1, a.second->right}...
respectively describing pairwise and group interactions. A simplicial complex\({{{\mathcal{S}}}\)is also an aggregate of objects, called simplices, that generalize edges and can be of different dimensions. Ad-simplexσ, or simplex of dimensiondis, in its simplest definition, a collection ofd...
Definition 3 (Bustince et al. (2013); Xu and Yager (2006)) Given, we define: [Math Processing Error] Now let us introduce some concepts related to discrete fuzzy numbers. By a fuzzy set of, we mean a function. For each fuzzy setA, letfor anybe its-cut. The support of a fuzzy ...