Sentence examples for associate function from inspiring English sources

Now, consider (m=G), the geometric mean whose associate function is (phi(x)=sqrt{x}).

Let m be a symmetric homogeneous mean, and ϕ its associate function.

Let m be a symmetric homogeneous strict monotone mean, and ϕ its associate function.

Let (m=A) be the arithmetic mean with its associate function (phi (x)=(x+1)/2).

For a homogeneous mean m, we define its associate function (phi _{m}:(0,infty)longrightarrow 0,infty)) via the relationship (m a,b =bm(a/b,1)=bphi_{m}(a/b)), that is, (phi_{m}(x)=m x,1)) for all (x>0).

Given a Young function φ, let φ ̄ denote its associate function: the Young function with the property that t ≤ φ - 1 ( t ) φ ̄ - 1 ( t ) ≤ 2 t, t > 0. If φ(t) = t p, then φ ̄ ( t ) = t p ′ ; and if φ(t) = t p log(e+t) α, then φ ̄ ( t ) ≈ t p ′ l o g ( e + t ) - α p ′ ∕ p, where p' satisfies 1 p + 1 p ′ = 1.

Scramby can associate functions with keyboard shortcuts, so they're easily accessible during games or VoIP calls.

Sivori, S. et al. A novel KIR-associated function: evidence that CpG DNA uptake and shuttling to early endosomes is mediated by KIR3DL2.

They behave as parasitic elements and usually have no known associated function that is advantageous to the host.

Specifically, though, high-level information pertains only to the "classical" function associated to that area (production in the inferior frontal and perception in the superior temporal cortex), while the "non-classical" associated function is not language-specific (perception in the inferior frontal and articulation imagery in the superior temporal cortex).

Proposition 1.3 Let m be a symmetric and homogeneous mean having a strictly increasing associated function f.