Sentence examples for notation in terms of from inspiring English sources

The results are expressed in a concise notation in terms of the complete set of eigenvectors and kernel matrices of analytic functions.

Now, introduce the stream function ψ defined in its usual notation in terms of velocity, a similar variable η, and the following similarity transformations; psi =sqrt{frac{2nu c}{n+1}}{x}^{frac{n+1}{2}}fleft(eta right),kern0.37em eta =sqrt{frac{left(n+1right c}{2nu }{xx}^{frac{n-1}{2}}y,kern0.37em theta =frac{T-{T}_{infty }}{T_f-{T}_{infty }}, varphi =frac{C-{C}_{infty }}{C_s-{C}_{infty }} (10).

We have to notice that the index notation can be interpreted in terms of two separate combinations of indices, one associated with the column (superscript) indices and the other one with the row (subscript) indices, with the following rules: the ordering of the column indices is independent of that of the row indices; the ordering of the column and row indices cannot be changed.

In subsection 1.2, we introduce the system model that will be used throughout the article and we define the problem in terms of notation and assumptions.

In terms of notation, the DiD estimate comes from a (random effects) model of the form: begin{aligned} BMI_{it}&=b_{0}+b_{1}Period_{iTreat_{i}+boldsymbol{{gamma}XPeriod_{it}_{its Treat_{i}+u_{i}+varepsilon_{it_{it}+u_{i}+varend{aligned} end{aligned} (1).

For ease of notation, we give expression levels in terms of nucleotides per million (NPM) and transcripts per million (TPM), which are obtained by multiplying ν and τ by 10, respectively.

In terms of musical notation, this note should be a quarter note.

In terms of notations, ( B ( t ) ) t ≥ 0 is a standard n-dimensional Brownian motion, Σ is an n × n matrix, possibly function of v or other variables, and Σ ⋅ d B i ( t ) denotes the i th component of the vector Σ ⋅ d B ( t ).

Hogwood's philosophy with the orchestra, and indeed in all his projects, was to attempt to understand and recreate the composer's intentions, in terms of both notation and performance.

In terms of the notation that we have previously introduced (Gamma =Gamma _v) is simply the union of the conjugacy classes of the (c_i)'s.

Again, in terms of our notation, MAR implies that f ( R | y, ϕ ) = f ( R | y obs, ϕ ), for all y miss, ϕ (2).