Sentence examples for acting as basis from inspiring English sources

We let Ψ ∈ ℝN × Ndenote an orthonormal basisa for ℝ N, with its columns acting as basis vectors, and we write x = Ψα, where α := Ψ T x ∈ ℝ N denotes the expansion coefficients of x in the basis Ψ.

Conclusion So, in addition to the dense militarism and the role of the IRGC acting as the "basis," it is evident that the leadership factor was the defining "condition" which could have completely changed the outcome of the February 11 uprising.

The question therefore arises as to the nature of the information from the forms which is acting as the basis for the assessors' (erroneous) consensus.

This finding suggests that portal vein tumor thrombus may also be a consequence of the systemic spread of CTCs, acting as the basis for micrometastasis formation.

As such, it is involved in both vitelline membrane formation as well as acting as the basis of the serine/protease cascade ventrally, essential for the maternally regulated DV patterning of the D. melanogaster embryo [ 170].

Besides being a useful tool to study the biology of innate immunity, this prolonged inflammation model holds promise for various potential therapeutic applications (e.g., inhibiting tumor growth, decreasing mortality caused by lethal sepsis after microbial infection, and acting as a basis for vaccine adjuvants).

Using the applied approach leads to more sound conceptual system understanding acting as the very basis to develop improved water resources management practices in a sustainable way.

At an individual level, they are acting as rational actors, on the basis of their own perceived political interests.

MultiMAC aimed at dynamically reconfiguring MAC and PHY layer properties to select appropriate MAC component on per node/flow basis thereby acting as a stepping stone to the concept of 'cognitive MAC' which supports intelligent reconfiguration of MAC and PHY layers.

The previous clerk, Sir Robert Rogers, retired at the end of July and the dispute over the appointment means his successor was not in place as MPs returned from their summer recess, with clerk-assistant David Natzler acting as clerk on a temporary basis.

In this position, her responsibilities included overseeing operations on a day-to-day basis and acting as a liaison with various business areas including finance, human resources, government relations and communications.