Sentence examples for for suitable functions from inspiring English sources

More precisely we consider the asymptotics as α → ∞ of tr ƒ(A) for suitable functions f.

We also prove that for suitable functions m the operator m(Lα) is bounded on Lp, 1

By definition the generator of RW is given by L_{1}, f = frac{f(x+1)+f x-1 -2,f(x)}{2} for suitable functions f.

With this convention we can also define (g * f in L^{2}(X mathfrak{h})) and (langle g | f rangleinmathfrak{h}) for suitable functions g, using the same formulas as for (mathfrak {h} = mathbb{C}).

The second concerns Kato's paper [334] on what is called the invariance principle: for suitable functions (Phi ), one shows that (A-B) trace class (Rightarrow Omega ^{pm }(Phi (A),Phi (B))) exist and are complete.

To be precise, for suitable functions φ, ψ : R + ⟶ ( 0, ∞ ) and two real polynomial P N i on R with P N i ( 0 ) = 0 and P N i ( t ) > 0 for t ≠ 0, where N i is the degree of P N i ( i = 1, 2 ), we define the multiple singular integral operator T Ω P along surfaces S ( P N 1 , P N 2 by (1.7).

where the scalar product for two suitable functions will be specified by (1.10).

GATE Monte Carlo simulation was successful for a complete simulation of non-pure radioisotopes, and it was used as a support for estimating suitable functions modeling the tails of the sinograms.

Whilst designing the livable interiors, providing suitable functions for these places is gaining importance.

These EPS could provide biochemical entities with suitable functions for obtaining new drugs.

SigShrink functions are thus suitable functions for such an estimation since they satisfy (P1), (P2), and (P3) conditions.