Combining this inequality with (4.7), since \delta <\alpha '/2, we obtain the desired claim with \textbf{p}^{r\rho }= \textbf{p}^r + {\hat{\textbf{p}}}^\rho , as long as C_0 \ge 12C^2_\mu \rho ^{-n -\alpha '-2(\mu -1)}. \square Now we prove the optimal grow...
relationGuid string 关系的 GUID。 status AtlasTermAssignmentStatus 术语分配的状态。 steward string 术语的管理员。 termGuid string 术语的 GUID。 AtlasTermAssignmentStatus 术语分配的状态 展开表 名称类型说明 DEPRECATED string 状态已弃用。 DISCOVERED string 状态已发现。 IMPORTED string 状态为“已导...
sets listed below proposition 1 . example 1 (proportion-based and linear reward functions.) in order to illustrate corollary 1 we introduce two closely related reward functions. they both have an additive penalty term g ( m ) that involves a cost parameter c per classified category, but they...
Aset Σ is called a trace language. Define a prefix order relation fin ΣΣ on traces by: fin : . The pair Σ fin is a partial order, with its least element. In contrast to strings, a trace may have incomparable prefixes. For ...
Moreover in the set B of finite bags or multisets (i.e. allowing repetition of objects) of the unit interval a preorder ≤B can be defined in a similar way as ≤H in H and considering the quotient set B‾=B/∼ of B by the equivalence relation ∼ defined by A∼B when A...
For example, let us determine the function μ(t) of (1.1.1) in terms of f. In fact, if we differentiate the relation f(x(t)) = 0 twice with respect to t, we find H(f)xt·xt+▿f·xtt=0, where H(f) denotes the Hessian matrix (∂2f / ∂xi ∂xj) of f. Thus (...
( v i , v j ). note that by the transitivity of this relation, two nodes may have a partial order constraint even when there is no edge between them in g . let r be the set of partial order constraints induced by g . we say that a permutation ∏( v ) of v is a partial ...
, is also an aont with the same parameter \(\alpha \) . on the other hand, we notice that \(\alpha > 0.5\) is necessary for the theorem, as otherwise we can construct a simple counter example—first we observe that the repetition code with majority decoding footnote 10 is an md-...
The reference solution \(u_\text {ref}\) to the first numerical example with eight interfaces Full size image 5.2 Convergence of the iterative solver We solve Eq. (5) on a unit square with roughly 200 infinite interfaces, using a fine-scale mesh that is uniformly refined once, and using...
For example, referring again to FIG. 7, the entries for “Daily City” are transferred to the new main with the new position value 4. Entries for “Los Gatos” are also mapped to the new position (now 6) from position 1 in the L2-delta and position 5 in the old main structure. ...