Indeed, denote the wave speed as (a_{m}).
Indeed, denote the left-hand side of (iii) by (f t,a_{_{1},ldots,a_{9})).
How have I become the sort of person who can interrogate a stick-man for several minutes before convincing himself it does indeed denote the gents' lavatory?
Indeed, denoting D 1 L − J = D 1, we see that this follows from (III.1 - III.3) and from Cases III.4.1-III.4.3 III.4.1-III.4.3
Indeed, denote R ( t ) = ∫ a t 1 / r ( s ) d s and introduce new independent variable s = R ( t ) and new function z ( s ) = y ( R − 1 ( t ) ).
Indeed, denoting D 1 L − J = D 1 R − J = D 1, we see that this follows from (I.1 - I.3) and from Cases I.4.1-I.4.6 I.4.1-I.4.6
for almost all x ∈ R N and for all s ∈ R. Indeed, denote M 0 = lim sup s → 0 | F ( x, s ) | m ( x ) | s | κ.
Indeed, denoting by β the angle between the isochron { p ∈ R 2 : Θ ( p ) = θ } and the limit cycle at the point γ , we have cos β = 〈 γ ′ ∥.
(148 Let us now show that the limit lim ϱ → 0 ( f ) B ( x, ϱ ) (149 exists too, and therefore defines the precise representative of f and x, which is indeed denoted by f ( x ).
Indeed, denoting by begin{array}rcl@ boldsymbol{y}(n)=[y_{1}(n),~y_{2}(n),cdots,~y_{N_{a}}(n)]^{T}, end{array} (6). the received vector at time instant n, Σ y (i,l), is nothing but the (i,l) th entry of the covariance matrix, (boldsymbol {Sigma _{y}} =text {E}{boldsymbol {y}(n boldsymbol {y}^{H}(n)}).
