Sentence examples for precise below from inspiring English sources
To be precise, below game G φ, M) equals by definition game G φ, M, g0), where g0 is an arbitrarily chosen variable assignment.
A completely bounded bilinear operatorφ: M×M→M on a von Neumann algebra M is said to have a factorization in M if there exist completely bounded linear operatorsψj, θj: M→M such thatφ x, y)= ψj x) θj y), x, y∈M,where convergence of the sum is made precise below.
Below we more formally characterize the three regimes: Husband dictator First, for when the wife's wage w f is rather small (to be made precise below), the husband dictates the entire allocation over Q1 and Q2: Q 1 = β y P 1 Q 2 = ( 1 - β ) y P 2, (5).
In the presence of nonlinear impulses which have certain asymptotic properties (to be made precise below), we show that the fact f ∈ ϕ n ⊥ might still be the sufficient condition for the existence of a solution to (1) (with λ = λ n ) and (2).
The connection to Moran is made precise below.
A causal network N is obtained as a coarse summary N(G) of the reaction graph G in which each chemical species appears as a single node, and directed edges indicate that the parent is involved in chemical reaction(s), which have the child as product (we make these notions precise below).
While primer based chemistries had higher Cv values, LNA® and one of the CPT amplicons showed better repeatability, being precise even below 100 DNA copies.
The definition of occupational lead toxicity is difficult because it is not possible to determine a precise BLL below which symptoms never occur, or a BLL at which symptoms are always reported.
To be more precise, the algorithms mentioned below do not compute a split network directly; rather, they all compute a set of weighted splits S. A split network N is then computed from S as described above.
You don't have to be precise, since the steps below will remove the remaining scrap of paper.
Cooking sous vide, shorthand for vacuum-sealing food and heating it to precise temperatures well below the boiling point, is a foundation technique of modernist cuisine.
