The phrase "after denoting" is correct and usable in written English.
It can be used when discussing the act of indicating or representing something before moving on to another point or action.
Example: "The researcher provided a clear definition after denoting the key terms used in the study."
Alternatives: "following the indication" or "subsequent to denoting".
After denoting with fd the maximum Doppler frequency, and with τ ̄ rms the root-mean square delay spread of the channel, we define, respectively, the coherence bandwidth ([35], Ch. 4) and coherence time ([36], Ch. 4) of the channel as W C = 1 τ ̄ rms, (28a) T C = 0.423 f d. (28b).
For more general problems having the fixed points y ˜ ℓ, ℓ = 1, 2, …, L, such that f ( t, y ˜ ℓ, λ ) = 0, after denoting R ℓ = d f d y | y = y ˜ ℓ. the denominator function ϕ can be chosen as ϕ ( h, R ) = 1 − e − R h R, R = max ℓ = 1, …, L | R ℓ |. to ensure that the steady-state of the discrete model preserves the same stability properties of the original continuous model.
After denoting the 2214 X chromosome as vs, we performed four sets of complementation tests: vs with vs, vs with if, vs with Df(1 Exel6240, and vs with Df(1 Exel6240.
There, we find the fraction of mRNAs in each of the three states after denoting state 0 the state in the middle of the network, state 1 the state on its left side and state 2 the state on the right side (blue circle in Figure 9 and red circle in Figure 11).
We studied the borohydride oxidation reaction (BOR) by voltammetry in 0.1 M NaOH/10−3 M BH4− on carbon-supported Pt, Ag and alloyed PtAg nanoparticles (here-after denoted as Pt/C, Ag/C and Pt Ag/C).
With the above notation and ⇄ indicating interchange, equilibrium equations in stress components are (with 3-D stress components as functions of coordinates x, y, and z) α σ x, x + τ xy, y + τ xz, z = 0 ⇄ x, y Open image in new window (1a) α τ xz, x + τ yz, y + σ z, z = 0 Open image in new window (1b). in which the suffix after ', ' denotes the partial derivative operator.
The above ground vegetation was sorted into the live fractions of functional groups (namely: grasses, herbs, Equisetum sp., deciduous shrubs and mosses) and the litter fraction was separated into the non-photosynthesising part of the moss (here after denoted 'brown' moss) and vascular plant litter.
Here and after, ′ denotes the transposition of a vector or a matrix.
Thus b 1, V 1 and S 1 will herein after be denoted as b, V and S, respectively, without loss of generality.
Are they merely a version of an after-dinner speech, denoting that it is time to go home?
While firmly restating his opposition to abortion as "a grave sin, since it puts an end to an innocent life," the pope affirmed that "there is no sin that God's mercy cannot reach and wipe away when it finds a repentant heart seeking to be reconciled with the Father". The document, an apostolic letter, was signed on Sunday after a Mass denoting the end of the jubilee year.
