Sentence examples for continuous notation from inspiring English sources

Following the continuous notation, we denote the discrete spectrum by Σ d.

However, for the reason of clarity, the continuous notation in hertz will be used in the following.

Since the synthetic signal is bandlimited to the Nyquist frequency, the continuous notation for the time axis will be used in the following, for reason of simplicity (i.e., x[ n]⇔x t)).

Instead of the discrete notation in bins, the continuous notation in hertz will be used in the following descriptions and sections for the reason of clarity, i.e., PD i [ k]⇔PD i (f), like for the amplitude spectral envelope V i (f).

Notation: The continuous time domain signal is denoted by x t); x[k] is the associated sampled discrete time domain signal; and the frequency domain representation of the discrete sample x[k] is X[k].

where { L 1 : C ⟶ F, ϕ → ∫ Ω J ( ⋅, r ¯ ) ϕ ( r ¯, − τ ( ⋅, r ¯ ) ) d r ¯. is the linear continuous operator satisfying (the notation is defined in Definition A.2 of Appendix A).

Note the difference in notation between the continuous time s and the parameter s.

We begin by modeling the signal of the th OFDM symbol in continuous time using complex baseband notation as (1).

Here, ν is a degeneracy index and the notation implies that continuous components in the indices (n, ν) are integrated.

where,,,,, and are nonnegative continuous functions on, and the notation denotes the conventional derivative or the one-sided derivatives.

Ideally, models are specified with our conditions in mind, be it as a list of reactions (as, e.g., in COPASI) or some graphical notation (e.g., continuous Petri nets).