monotonically's Usage Examples:

function that increases monotonically does not exclusively have to increase, it simply must not decrease.

A function is called monotonically increasing (also.

previous term then the sequence is called strictly monotonically increasing.

A sequence is monotonically decreasing, if each consecutive term is less than.

frequency monotonically increase as the CENBOL propagates closer to the black hole and in the declining phase the QPO frequency monotonically decreases.

have domain of all real numbers, with return (response) value commonly monotonically increasing but could be decreasing.

sequence of distinct real numbers contains a monotonically increasing infinite subsequence or a monotonically decreasing infinite subsequence, the result.

In mathematics, a monotonically normal space is a particular kind of normal space, with some special characteristics, and is such that it is hereditarily.

If φ is a monotonically increasing nonnegative function for the nonnegative reals, X is a random.

series test then says: if | a n | {\displaystyle |a_{n}|} decreases monotonically[1] and lim n → ∞ a n = 0 {\displaystyle \lim _{n\to \infty }a_{n}=0}.

oscillations (QPOs) whose frequency increases monotonically during the rising phase of the outburst and with monotonically decreasing frequency in the declining.

f^{'}} is monotonically non-decreasing on X {\displaystyle X} while its converse is not true, for example, f ′ {\displaystyle f^{'}} is monotonically non-decreasing.

a passive, lossless two-terminal (one-port) network always strictly monotonically increases with frequency.

Specifically, q s {\displaystyle q_{s}} is a monotonically increasing nonlinear function of the excess Shields stress ϕ ( τ ∗ −.

requires that over the operating frequency range the power output is a monotonically decreasing function of frequency.

that an alternating series will converge if the terms an converge to 0 monotonically.

amounts to an overestimation if f is monotonically decreasing on this interval, and an underestimation if it is monotonically increasing.

A sorted sequence is a monotonically non-decreasing (or non-increasing) sequence.

extremely close to zero or one—which results in the Wald test no longer monotonically increasing in the distance between the unconstrained and constrained.

it is continuous (with respect to the order topology) and strictly monotonically increasing.

The orbital period of SV Centauri is monotonically decreasing at a very fast mean rate of 2.

If the magnetic field is now reduced monotonically, M follows a different curve.