But this is not an economy that values expansion.
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.
Suitable biomass increment values (expansion and conversion for calculating total tree above ground biomass) and the ratio of below and above ground biomass (for calculating total tree biomass above and below ground) as available in different studies covering a range of forest types of the country were used in the present study.
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.
Cisco said the expansion, valued at about $40 million, will include its routers, switches and access servers.
With stronger decay conditions on the potential it is possible to generate an operator-valued expansion for the evolution, taking the formeitHPac(H)="|t|2−n2A−2+|t|1−n2A−1+|t|−n2A0, with A−2 and A−1 finite rank operators mapping L1(Rn) to L∞(Rn) while A0 maps weighted L1 spaces to weighted L∞ spaces.
After all, many tech companies are valued more on their expansion prospects than on their potential for near-term shareholder remuneration via cash disbursements or buybacks.
