Sentence examples for be written in vector from inspiring English sources

The N scalar equations (18) can then be written in vector form as F ( v, h ) = 0, (19).

The estimate error can, thus, be written in vector shape as (9). Figure 7 shows the block diagram of the hybrid adaptive filter.

At the mobile user in the baseband, the received signal can be written in vector form as y = H x + n, (1).

In order to facilitate the discussion, the shape parameters of the generalized Bézier-like surfaces can be written in vector form as ((lambda,gamma_{0},gamma_{1},lambda_{2},gamma_{3})).

Then, the output signals of the DFT can be written in vector form as follows: begin{array}rcl@ boldsymbol{x} omega_{i})=boldsymbol{A} omega_{i}, boldsymbol{theta} boldsymbol{s} omega_{i})+boldsymbol{n} omega_{i}), i=1,2,cdots,K, end{array} (3).

The ICI-removed received data, y ′ ( k ) ≈ y ( k ) − ∑ d = k − 2 L, d ≠ k k + 2 L C k − d b d t α μ x ( d ), can be written in vector form as y ′ = diag ( μ x ) · ( A h avg ) + w (21).

The equilibrium equation is written in vector form and its solution, i.e. the deformed shape of the elastic cable, is obtained in closed form for the cases of uniformly distributed load, one point force and many point forces.

The update of the friendly jammers' prices can be written in a vector form as (32).

For N discrete frequencies within the bandwidth, the transformed signal (tilde zleft (f right)) can be written in a vector form as {mathbf{z}} = {left[ {begin{array}{*{20}{c}} {tilde zleft({{f_{1}}} right)} & {tilde zleft({{f_{2}}} right)} & cdots &{tilde zleft({{f_{N}}} right)} end{array}} right]^{T}}.

The conditions ( H 1 ) and ( H 2 ) can be written in a vector form F ( U ) > H ( U ) U and F ( U ) > H T ( U ) U, where F ( U ) = ( f 1 ( U ), …, f n ( U ) ) T, U = ( u 1, …, u n ) T, and H is the original Jacobian matrix of the vector field ( f 1 ( U ), …, f n ( U ) ), and H T is the transpose matrix of the Jacobian H.

By stacking the received data symbols over consecutive intervals in one column and so as the DFT channel coefficients, (6) can be written in matrix-vector notation as Y ( k ) Y ( k + 1 ) = ρ diag X 1 ( k ) diag X 2 ( k ) − diag X 2 ∗ ( k ) diag X 1 ∗ ( k ) ℋ 1 ℋ 2 + N ( k ) N ( k + 1 ), (7).