Sentence examples for array given by from inspiring English sources

The phrase "array given by" is correct and usable in written English.
It can be used in mathematical or programming contexts to refer to an array that is defined or specified by certain parameters or conditions.
Example: "The array given by the function f(x) consists of all the even integers between 1 and 100."
Alternatives: "array defined by" or "array specified by".

Exact(2)

We observe from (7) that the array manifold at ω q is equivalent to the array manifold of a scaled version of the physical co-prime array, with the position of the i th sensor in this scaled array given by α q x i.

Tables  3 and 4 present the average rating (provided by the factor array) given by each of the three Daily Life factors and each of the two Flare Help-Seeking factors to each statement.> -wrap-foot>> -wrap-foot>> -wrap-foot>> -wrap-foot> Dis Dur = Disease Duration.

Similar(58)

The array centroid offset is defined as the distance between array focal point r i  = (x i,y i,z i ) and the centroid of array elements given by: L = x 0 − x i 2 + y 0 − y i 2 + z 0 − z i 2, (9).

Thus, the pilot array for one OFDM symbol is represented by P = p 1 p 2. Similarly, the data symbol array is given by S = s 1 s 2. The vectors p 1,  p 2, s 1 and s 2 are 1 × K.

Then, a steering vector for the whole array is given by a = a 1 e j ( 2 π ∕ λ ) R sin θ a 2 , (5).

The output of the array is given by {overset{smile }{mathbf{X}}}_t={overset{smile }{mathbf{A}}}_t{overset{smile }{mathbf{S}}}_t+{overset{smile }{mathbf{V}}}_t, (2).

The basis directions associated to this array are given by (7), and the number of real directions is Q = 1 + 2⌊ΔN⌋, that we require to exceed that relevant to the actual array, i.e., ⌊ΔN⌋ > ⌊ΔM⌋, so as to achieve super-resolution.

Remark 3.2 If we set λ = 1 in (9), we get a new special case of the array polynomials given by f S, v ( t ; a, b ) b t x = ∑ n = 0 ∞ S v n ( x ; a, b ) t n n !

Following [37], the coefficients of the N multipath channel between each single-antenna UE and the sth antenna of the sector array are given by: h s n = P n σ PL σ SF M ∑ m = 1 M G n, m BS exp ( j [ k d s sin ( θ n, m, AoD ) + Φ n, m ] ), s = 1, …, 4, (3).

The optimal array weights are given by (31).

and the achievable secrecy array gain is given by Theta_{text{single}} = gamma_{th}^{- 1} (18).

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