Sentence examples for simplify expressions from inspiring English sources

This analysis addresses the use of a two-level approximation to simplify expressions derived from perturbation theory.

And what simplifier is going to do is, given a set of rules, it will produce for me a procedure which will simplify expressions containing the things that are referred to by these rules.

To simplify expressions, T s  = 1 is employed in the calculation.

To simplify expressions we will use the standard notation for the commutator of two operators: ([T, B] := TB-BT).

As mentioned in BS, the product (b delta) can be expressed in the same units as output, they assume (b delta =1) to simplify expressions.

Factoring is a way to simplify expressions by removing factors that are common across all the terms in the expression.

This review critically evaluates progress in developing new tools to enhance or simplify expression of targeted genes in chloroplasts.

By taking expectation of packet reception and loss cases in the first product in (9), we can simplify expression (9) as: (10).

To simplify expression of (2.1), we introduce a new time variable (tau=rho t^), and denote (varepsilon=frac{rho}{r}), (X=frac {N}{kS}), (Z=frac{rN}{beta P}), (Y=frac{rkS}{beta P}), (Y_{max}=frac{rkS_{max}}{beta P}), (alpha=frac{eta}{k}), (varrho=frac{kdelta}{rho}), and (V=frac{rkQ}{beta P}), (U=frac{rkR}{beta P}).

From system (1) and considering that TB transmission is at equilibrium, TB incidence can be calculated as (7) Y = φδ P + ωL + φ T δ T T = τκ + μ I considering that τκ > >  μ, we can simplify expression (7) as Y =  τκI.

In previous works of Cheng, and Barrett and Ellis, they claimed that the Boussinesq Galerkin solution is nonunique, through using some assumptions to simplify the expressions of displacement functions.