Sentence examples for which we will define from inspiring English sources

In (1.1), and denotes an abstract phase space which we will define later.

He spends his days devising tax-efficient trading strategies for wealthy people, but some of his ideas are applicable to folks of modest means, which we will define as $1 million in the market.

In the fuzzy model of the abstract economy, which we will define below, for each agent i, the action choice is modelled by the measurable fuzzy mapping X i, and the constraints and the preferences are modelled by the random fuzzy mappings A i and, respectively, P i.

Each of these daughter cells has a combination of one original DNA strand and one newly synthesized strand, which we will define to be a hybrid strand.

Although the processes influencing genome compactness are poorly understood, it is suggested that they are associated with the proliferation of selfish DNA [ 2- 4], which we will define for the purpose of this study as any noncoding DNA element with the ability to spread its sequence to new genomic locations.

If we define the curvatures (1/r) of any three circles as a, b, and c, respectively, the Theorem states that the curvature of the circle (or circles ) tangent to all three, which we will define as d, is: d = a + b + c ± 2 (sqrt (a × b + b × c + c × a )).

"A board meeting will take place within the next week at which we'll define the process, time-scale and job description for the next manager".

We will define the neighbourhood of s R i, denoted N R i = s R i 1, s R i 2, …, s R i L, as the subset of F R which can be reached from s R i within a single step, unless s R i = O P R, in which case we will define N R i to be an empty set.

This 'fixed-point' theorem holds if our scheme for evaluating the truth of composite sentences has a certain nice property of monotonicity, which we will not define here.

Lysenok [33], gave a recursive presentation of G by generators and relations using a homomorphism (kappa ), which we will shortly define, see (2) and (6).

For every map M : Ω → 2 Ω for which conditions (A) hold, we will define M = { M x ∣ x ∈ Ω }.