Examples of R (m in a sentence
This means in reward aggregation, the reward from reward model Ris more significant than metric reward R m.
When working with a cohomology module Hi( ( (x), R)) = Ker ei/ Im ei−1 (where i N) of the complex ( (x), R), we shall use ‘[ ]’ to denote natural images, in this cohomology module, of elements ofKer ei.In the special case in which (R, m) is local, l = dim R = t and x1, .
Finally, for an ATL transformation T , we assume that two models are consistent if the above semanticsholds for all (matched and unique lazy) rules RT :T (m : M , n : N ) ≡ ∀ R : RT | R) (m, n)This semantics can be encoded in Alloy in a similar manner to that of QVT-R, as described in Section 3.3. The higher-order existential quantification that asserts the existence of the traceability relation R¢¢ can be en- coded by skolemization, by explicitly declaring an Alloy relation that represents it.
Preparatory resultsMost of the results in this section concern the case where R has prime characteristicp, but the first two do not.∈C U ≤Lemma 4.1. Suppose that (R, m) is local, and consider the complex of modules of generalized fractions ( (x), R) of 2.6. Let r be an integer such that 0 r < l.
S1-A and S1-B conductance data is thus not consistent0.40.350.3(meV)0.250.20.150.10.0500.5S1-AS1-B S2-A S2-B s-wave p-waveS1S20.4 R (m )0.3 0.2 0.1 00 0.5 1 1.5 2 2.5T (K)with a dominant pz-wave gap component, and indeed can be reasonably fit by a purely px- or py-wave gap.On the other hand, as shown in Fig.
Now we proceed with our proof of the bulk of Theorem 1.4.Theorem 1.4 is a simple consequence of Theorem 1.6 together with ideas that are borrowed from a classical paper by Erdo˝s and Rényi [6] on the length of the longest run of heads in an infinitely-long sequence of independent coin tosses.Choose and fix two integers R, m 1 and a real δ ∈ (0 , 1) small enough that a −2δ > 1 and P{ut(0) > b + 2δ} > 0.
Finally, Eq.(2.14) is inserted into the right hand sides of equations τ2i = C2iαr ∂α u r + C2i 2r ∂ 2 u r − β2i θ q 2 + τ q˙ 2 = −k 2α∂αθ − k 22 ∂ 2 θ (α = 1,3; i, r = 1K3) and the resulting expressions are used in R m = τ+ m τ− ; Qm = q+ m q− .
R m )Correlation (Pjm) = σ Rj .σ Rm The correlation coefficient always remains between +1 and -1.
We get a commutative and exact diagramFr /¸ F ¸/ M /¸ 0 , 0 /¸ Kf g/¸ R m /¸ M /¸ 0 to which we can apply the snake lemma.
The multiplicity of a local ring (R, m, k) is the degree of the projective tangent cone Proj(grm R) as a subvariety of the projective tangent space Proj(Sym∗ m/m2).