Sentence examples for is not integer from inspiring English sources

Compared to the traditional PID controller, in FOPID controller, the order of derivative portion and integral portion is not integer, which provides more flexibility in achieving control objectives.

Here ε α = 0 for | α | ≤ 1, while ε α is an arbitrarily small positive real number if | α | = 2. Proof Since G σ = G σ + ε for small positive ε, we may assume, without loss of generality, that ( σ − λ j + ) / 2 is not integer for λ j + < σ.

We define V p, β l ( K ) as the weighted Sobolev space with the norm ∥ u ∥ V p, β l ( K ) = ( ∫ K ∑ | α | ≤ l r p ( β − l + | α | ) | ∂ x α u ( x ) | p d x ) 1 / p. for 1 < p < ∞ and integer l ≥ 0. Lemma 1.2 Suppose that σ is a real number such that σ > λ 1 − and ( σ − λ j + ) / 2 is not integer for λ j + ≤ σ.

The value of F at its minimum is given by the simple formula (1.11) F l (N ) = 2 f (N ) When N is not integer, this minimum cannot actually be reached, but it still serves as a lower limit to the range of F, while the upper limit is obviously Fu(N) = f(N).

In fact, when k is not integer-valued, we can no longer speak of the DFT (1), rather of the discrete-time Fourier transform (DTFT), which is defined by X = ∑ n = - ∞ ∞ x [ n ] e - j ω n, ω ∈ ℝ. (20).

However, the scaling factors K and K −1 (K≠1) make the approximate coefficients a z) or detail coefficients d z) are not the integer point numbers, then make the structure is not integer-to-integer.

It is proved in this paper that if the rotational angles of the DFrFTs are not integer multiples of π, as well as they are not odd integer multiples of π2 when the signal lengths are odd, then there is only one degree of freedom for designing the mask coefficients.

In general, the flowfield may have multiple excitation frequencies that are not integer multiples of each other, so that the unsteady flow is (sometimes) aperiodic in time.

In general, the flow field may have multiple excitation frequencies that are not integer multiples of each other, so that the unsteady flow is (sometimes) aperiodic in time.

But the main emphasis is placed on the generalization of the Goertzel algorithm, which allows us to use it also for frequencies which are not integer multiples of the fundamental frequency.

This introduces a large number of inter-harmonics that are not integer multiples of the fundamental component to the power signals, which changes the measurement of the fundamental component and may further threaten the operating security of the power system.