"exploit the assumption" is correct and usable in written English.
You can use it when you want to emphasize that a particular assumption should be (or has been) taken advantage of, e.g. "The company exploited the assumption that people would be willing to pay extra for eco-friendly products."
One of the main difficulties is that any proof of Lawson's conjecture has to exploit the assumption that (Sigma ) is embedded, as well as the condition that (Sigma ) has genus (1).
Several researchers exploit the assumption of gene-environmental independence in the population to develop more powerful statistical tests for gene and environment interactions in more complex settings, see e.g., [ 84- 86].
Data acquired in small frequency intervals can be used to exploit the assumption that the associated phase changes between frequencies are small, from which a robust unwrapping strategy can be devised [ 27].
We exploit the assumption that a node in a network can be hypothesized to have a similar attribute (e.g., function, or location, if nodes represent genes) as the majority of the nodes in its neighborhood of some radius.
Therefore, in the following is derived a more feasible synchronization scheme by exploiting the assumption that the CFO is sufficiently small.
CS is commonly intended for the encoding of a single signal, and a rich theory has been developed for signal recovery from incomplete measurements by exploiting the assumption that the signal obeys a sparse model.
It exploits the assumption that it is possible to maximize the value of Q deleting edges with a high value of betweenness, starting from the intuition that they connect vertices belonging to different communities.
Then, assuming a silencing mechanism at each hop, we derive a recursive (hop-wise) theoretical performance evaluation framework which exploits the assumption of fixed and equally spaced vehicles positions in each retransmission hop.
Exploiting the assumption that the quantization step is negligible compared to noise standard deviation allows the writing of: begin{array}{*{20}l} mathbb{P}[X=k] &= int_{Delta k-1/2)}^{Delta k-1/2)} frac{1}{sigmasqrt{2pi}} !exp!left(! - frac{(x-mu)^{2}}{2sigma^{2}} !right) Delta k+1/2frac{Delta}{sigmasqrt{2pi}} explefrac{1}{sigmasqrt{2pi}^{2}}{2sigma^{2}} right).
In contrast to the work of Xie et al. [9] and Yang et al. [12], our model exploits the assumption that drugs capable of modulating similar pathways may have similar ADR profiles.
The HT estimator exploits the assumption that the explanatory variables are uncorrelated with the fixed cohort effects.
