Let p = 2, τ ( t ) = t − 3 π, ρ ( t ) = δ ( t ) = 1, and H ( t, s ) = K ( t, s ) = ( t − s ) 2. It is not difficult to verify that all assumptions of Theorem 2.3 are satisfied, and hence equation (3.1) is oscillatory.
Let ρ ( t ) = t, δ ( t ) = 0, and H ( t, s ) = ( t − s ) 2. It is not difficult to verify that all assumptions of Theorem 1 are satisfied.
By (3.5), for any (x, yin S), it is not difficult to get biglvert mathcal{M}_{beta,rho,q} fchi_{mathcal{X}setminus 2S}) (x)- mathcal{M}_{beta,rho,q} fchi_{mathcal{X}setminus 2S}) (y bigrvert leq C|f |_{L^{infty}(mu)}.
It is not hard to prove that these sources meet the LCE law since E S 1 S 2=ρ=−1/(P−1) and E S 1|S 2=s 2=ρ s 2=−1/(P−1)s 2. Additionally, It is not difficult to prove that, for this particular type of sources we have constant GA moment of order β=4 which makes it not suitable as an objective function for this case.
Let M=lambdamax_{ Vert u Vert _{PC}=R'}f u) int _{0}^{xi}H s,s g^(s),ds. Then it is not difficult to see that (M<+infty).
Consider now the slightly different grammar obtained by removing the leading S to the left of x i from each of the production rules, so that the new rules are of the form S → x i Sx i +1 S... Sx j S. It is not difficult to see that both grammars produce the same language and have the same minimal size parse tree for every string y.
Reed's frustration is not difficult to imagine.
Given how infrequently she has played this year, identifying Clijsters's highlight is not difficult.
"In a sense, Mr. Hou's work is not difficult at all," Phillip Lopate wrote in The New York Times.
The legendary quality of Barrow's and Parker's careers is not difficult to understand, given the extreme desperation of the times.
Ellyse Perry is the pin-up of Australian women's cricket and it is not difficult to see why.
