Sentence examples for equivalent to approximate from inspiring English sources

Using the established correlation between RU and absorbed mass (1 RU = 1 pg/mm) (51, 52), the POPC POPG, POPC, and POPC POPE membranes had surface densities equivalent to approximate 3, 7, and 8 ng/mm, respectively.

The analysis presented here uses a log-linear model where the notation i j refers to the jth parent of gene i β i = [β iji]1× pi, and ɛ i is a random variable with mean 0. From a mechanistic basis, using a model linear in the logarithms of the expression levels is equivalent to approximating the full nonlinear system by equations in power-law form (Kikuchi et al. 2003; Voit and Radivoyevitch 2000).

In fact, the approximate solution of an equation is equivalent to the approximate fixed point of an appropriate operator.

Remark 3.5 In the case of a C 0 -semigroup and an integer order derivative, condition (H4) is equivalent to the approximate controllability of the corresponding homogenous linear system.

Such values are equivalent to an approximate population size increase from 9 to 101 trees per hectare [ 35].

Two controlled family studies have found an average 3% lifetime risk of AN in first-degree relatives of patients, being equivalent to an approximate relative risk of at least 10 [ 7, 19, 20].

Using the exact or approximating boundary conditions on the artificial boundary, the original problem is reduced to an initial boundary-value problem on the bounded computatinitial boundary-valueresproblemly equivalent tonor approximathe the original probounded

Therefore, to solve problem (1.1) (respectively to approximate solutions of (1.1)) is equivalent to solving (resp. to approximate the solutions of) a fixed point problem which involves the operator ∇f.

Under such a hypothesis on ∇f, Takahashi and Toyoda in [8] proved that (P_{C} (I-frac{1}{L_{f}}nabla f)) is a nonexpansive mapping, hence to solve (resp. to approximate a solution of (1.1)) is equivalent to finding (resp. to approximate) a fixed point of the nonexpansive mapping (P_{C} (I-frac{1}{L_{f}}nabla f )).

Bitcoin already has a market capitalisation equivalent to $5.7bn – the approximate total of all bitcoin in existence – and feels far more than a novelty.

In Veldman 2009, the fan principle is shown to also be equivalent to Brouwer's Approximate Fixed-Point Theorem.