Sentence examples for exactly thus from inspiring English sources

Exactly thus — by moonlight — is how, in one of my own stories, Aunt Fini imagines the young Ambros crossing the selfsame lake, although, as she makes a point of saying, this can scarcely have been the case in reality.

Using computational commutative algebra, especially Gröbner bases, we first find out several polynomial designs and then state existence results in R3 for spherical rotatable designs whose coordinates of their support points are known exactly, thus enabling us to derive the ideal of confounding polynomials thanks to tools defined in the framework of algebraic statistics.

It is noted that the LCE condition holds exactly, thus the separation is almost perfect by using NG measure.

More exactly: Thus, even if the two hydrogen atoms h1 and h2 in a water molecule do not in fact stand in the covalent bonding relation B, there is nonetheless the (non-factual) state of affairs [B,h1,h2].

The scheme derived here is designed to meet the required data rates exactly, thus ensuring a fair performance apportionment to both users and service providers, with the best utilization of the network resources (minimum power expenditure and good spectral efficiency).

The introduction of a cylindrical polar coordinate system renders the resulting governing equations of motion and energy to a form which can be solved exactly, thus obtaining the expressions for velocity and temperature fields.

This assumption simplifies the problem into one where the solution to where the other cars are can be computed exactly (and thus much faster).

Ageing causes variations in parameters over a long-term period, which cannot be predicted exactly and thus are typically uncertain.

Since the income expenditure accounts of each agent of corresponding row and column must balance the total income from all sources must equal to the total expenditure, SAM must balance exactly and, thus, must be a square matrix.

Since we conducted up to five experimental steps using single samples (see the 'Methods' section), maximum shear stresses at the moment of failure cannot be exactly determined; thus, any results from the computations have to be considered as close approximations of the real values.

We note that a measurement scheme proposed by Ono and Hofmann is exactly optimal (thus it is able to achieve the bound given by Eq. (11)) under loss [14], but we wish to explore how simpler measurement schemes perform when compared with this bound.