"linear assumption" is a correct and commonly used phrase in written English.
It is typically used in mathematics and science, and it refers to a working hypothesis that states that the relationship between two variables is linear. For example, "The linear assumption of this experiment suggests that there is a direct correlation between temperature and pressure in a closed container."
Here, we remark that the linear assumption has been employed to linearize the electromagnetic scattering problem.
Logarithmic transformation of exposures improved the linearity to a certain extent, and categorical exposures satisfied the linear assumption (which was important for modelling).
The security of both schemes is based solely on the Decision Linear assumption in (symmetric or asymmetric) bilinear groups.
Security is based on two complexity assumptions in bilinear groups: the recently proposed Strong Diffie-Hellman (SDH) assumption, and a new assumption called the Decision Linear assumption.
The second model assumes exponential shape of these stresses in the constraint layer keeping linear assumption in the cracked layer.
For this reason most low exposure studies rely on a dose linear assumption which extrapolates data obtained at high exposures to lower doses assuming that the effect is linearly dose dependent.
These time constraints have been arbitrarily set without being modelled on the linear assumption i.e. that risk increases continually over time and not within specific cut-off times.
Firstly, a coupling dynamics model for the tethered space robot system is built based on the Hamilton principle and the linear assumption.
Bhattacharyya (Invited paper for 46th session of the ISI, 1987) proposed a tampered Brownian motion process model and later derived the probability distribution from a decay process perspective without linear assumption.
However, the conventional load and resistance factor design (LRFD) has been basically formulated supposing that safety checking is done on the basis of linear assumption of member forces and displacement.
Whereas the earlier result was mostly definitional with a proof of concept that relied on certain generic and very inefficient simulation-sound zero-knowledge proof systems, here we show how to construct such systems very efficiently from pairings, and based only on the linear assumption in the standard model.
