Sentence examples for an increasing chain from inspiring English sources

(mathbb{R}subsetmathbb{C}subsetmathbb{H}subset Cell_{n}^{3}subset cdots) is an increasing chain.

Clearly, Q is nonempty since x 0 ⪯ T x 0. Let { x α } α ∈ Γ ⊂ Q be an increasing chain, where Γ is a directed set.

Thus, Clifford algebra C ℓ n = ⨁ k C ℓ n k is a graded algebra, especially C ℓ n 0 = R and C ℓ n 1 = R n. R ⊂ C ⊂ H ⊂ C ℓ n 3 ⊂ ⋯ is an increasing chain, where ℍ is the Hamilton's algebra of quaternions.

The strength of binding of the monounsaturated fatty acids increases with an increasing chain length from myristoleic acid (C14) to ecosenoic acid (C20) but then falls again to erucic acid (C22).

Dissociation constants for a range of fatty acids were determined by displacement of Dauda: binding of fatty acids increased in strength with an increasing chain length from C14 to C20 but then decreased in strength from C20 to C22.

The AHL acyl chain length was also studied with an increasing chain length observed to augment significantly the membrane binding affinity in both artificial and T-Lymphocyte membrane systems.

Assume that { ( E α, F α ) } α is a increasing chain in Σ. Set E : = ⋂ E α and F : = ⋂ F α. Since X has the property (C), we conclude that ( E, F ) is a nonempty pair.

On the dynamic mechanical analysis (DMA) the evolution of the secondary relaxations (γ and β) suggested an increased chain tightness as more aliphatic component is included.

This underlines once more the exceptional strong ability of the designer peptide A6D to reduce the effective interface area per molecule, since an increased chain pressure alone can not cause such high curvatures between 60 and 70°C.

The measured wavelength of the optical absorption spectrum peak maximum λmax showed a continuous increase with increasing chain length up to lengths of nearly 5000 repeat units.

Thus, torsional motion is activated to an extent that increases with increasing chain length.