By exploiting the additive homomorphism, high-capacity data hiding can be accomplished with the first algorithm by conducting value expansion on the encrypted pixel values.
In contrast to Case 2a, pore value expansion in Case 2b exhibits a more important role in solute concentration at the cap than solute transport across the cap in the late stage.
The typical metric used in recent works (e.g., [6]) has been to measure the effect of big data on the i-th company's added value expansion, (call it, Yi), that is, recent work measuring the big data effect as a productivity effect.
We know from Lemma 1 that there exists a singular value expansion for H 11, so let (left {sigma _{11}^{ k)}, U_{11}^{ k)}, V_{11}^{ k)}right }_{k=1}^{infty }) be a singular system for the operator (mathsf {H}_{11}: mathcal {T}_{1}rightarrow mathcal {R}_{1}) (see Lemma 5 in Appendix B for the definition of a singular system).
Moreover, the operation of C on any ({x}in mathcal {X}) can be expanded as ( mathsf {C} {x} = sum _{k} sigma _{k} langle {x}, {v}_{k} rangle {u}_{k}, ) which is called the singular value expansion of C x. See Section 16.1 and 16.2 of [32] for a proof.
The design and strategic literature underline the possibility of triggering a multiproduct value-expansion dynamic based on the creation of new concepts dynamically twinned with corporate strategy.
Note that when simulating population expansions, we excluded simulations with values of expansion parameters resulting in present-day effective population sizes exceeding 1 billion individuals.
From these experimental values, thermal expansion, excess molar volume (VE), viscosity deviation and Gibbs free energy (ΔG) were calculated.
However, initial assessments were based on basic values for expansion factors and carbon concentration in the biomass, and more accurate results could be obtained.
