Sentence examples for linear in n from inspiring English sources

Proof generation and verification times are linear in n.

This representation simplifies the complexity of specifying the distributions from exponential in n, the number of variables in the model, to linear in n, in many interesting cases.

We show how this can be reduced to linear in N by means of straightforward optimizations that take advantage of the properties of the effective potentials.

We show, however, that finding the MAP is NP-hard in the general case when these representations are used, even if the size of the representation happens to be linear in n.

The absolute weights are allowed to mildly depend upon n, being at most no(1) (we note that even if the weights are constants, δ u,v) can be linear in n, while the error requirement ϵ is a small constant independent of n).

Due to the spectral accuracy of the method, the grid size needed is low and also in practice, for a fixed domain size, independent of N. The leading cost, which is linear in N, arises from the to-grid and from-grid operations.

The subset graph can be dynamically maintained when F undergoes set insertions and deletions in O nk/logk) time per update (that is sub-linear in N for the case of dense families).

The delivery time (the expected number of steps to reach an arbitrary target node) of such algorithms is then sub-linear in n.

We introduce a new set of variables W n = w n w n H for all n ∈ N. Then the constraints (15b), (15c), (15d) and (15f) become linear in W n, and W n should be rank one.

By contrast, elementary Gaussian elimination (i.e., high-school mathematics) solves a system of n linear equations in n unknowns in roughly n^3 operations.

Specifically, a linear equation in n variables is of the form a0 + a1x1 + … + anxn = c, in which x1, …, xn are variables, the coefficients a0, …, an are constants, and c is a constant.