Sentence examples for begin by defining a from inspiring English sources

We begin by defining a physical event space over which probabilities are defined.

For notational simplicity, we begin by defining a notation B i, b) ≜  − D i /log2(1 + χ ⋅ SINR i, b)(P)).

We begin by defining a one-to-one function f : x→ y which assigns each SAT literal to a unique integer allele value.

They begin by defining a sociotechnical system as 'the synergistic combination of humans, machines, environments, work activities and organisational structures and processes that comprise a given enterprise' (p. XX_).

We begin by defining an ideal refinery and the variables and notation employed throughout the paper.

These models begin by defining an input space, with some coordinates being linear (representing position or spatial frequency) and others circular (representing orientation), need to be mapped to the two-dimensional plane in some optimal fashion [61], [62], [64], [116], [122] [126].

We begin by defining an algebra for residential histories, and a matrix representation that describes how spatial nearest neighbor relationships change through time.

The application of thermodynamic principles begins by defining a system that is in some sense distinct from its surroundings.

It begins by defining a generalized momentum pi, which is related to the Lagrangian and the generalized velocity q̇i by pi = ∂L/∂q̇i.

The modeling process began by defining a series of inputs to describe the initial status and behavior of the farm.

The third section, in which our findings are presented, begins by defining a criterion for identifying intensive travellers and goes on to identify and measure the determinants of travel time and finally reports on interviews with intensive travellers about their experience of travel time.