Sentence examples for with the notation of from inspiring English sources

Withdrawal from all courses during this time will appear on the official transcript with the notation of "W". To see the policy on dropping courses, go to: http://as.cornell.edu/policies.edu/policies

In this paper, the work of Nielsen has been reformulated in accordance with the notation of the ISO 'Guide to the expression of uncertainty in measurement', analyzed in detail to solve the implementation difficulties, completed with an adequate convergence criterion, and implemented in the MATLAB mathematical program.

We continue with the notation of Definition 2.8.

With the notation of Lemma 2.1, setting (delta=delta(A,B,M)).

Under the outlook given above, let us start with the notation of these generalizations.

Then, with the notation of Theorem 2.1, we have (rho =0).

Then, under (5.34) (i.e., the boundary conditions) this is equivalent with (using the notation of (5.34) and (C6)) (5.36).

The latter is written here to maintain consistency with the notations of other sections).

From the results of[19], Proposition 1 describes the basic partial Fourier matrix and its geometric properties with the notations of this paper.

With the notations of the previous theorem, write (mathcal{N}_{mathcal{A}}) for the random variable recording the number of zeroes of Φ in a Borel region (mathcal {A}) of the symmetric space X, (|mathcal {A}|_{G/K}) for its volume as determined by the chosen metric on (X = G/K).

Hence, under (5.8) (i.e., the boundary conditions), (5.19) is equivalent with (use also the notation of (5.18) and (C2)) (5.21).