Sentence examples for derived by replacing from inspiring English sources

The parameter ({gamma }_{k,2}^{text { opt)}} ) can be derived by replacing γ k,1 in Equation 6.2 by 6.3.

The autocorrelation function can be derived by replacing the received sequence model (3) into (9), leading to.

Remark 46 Notice that analogs of all of the theorems proved in Section 2 can be derived by replacing type I and type II with type A.

The approach is derived by replacing the insulation layer into an equivalent concrete thickness layer and then undertaking statistical regression analysis on temperature data of modified concrete section.

This architecture is derived by replacing the filtering units by our previously published throughput-optimized ones and by developing a scheduling algorithm suited to the special features of our filtering units.

P7, an analogue of the cell-penetrating peptide (CPP) ppTG20, was derived by replacing Phe and Trp with Arg based on the structure activity relationships of CPPs and antimicrobial peptides (AMPs).

where is derived from by replacing with and and are the residual IAI and AWGN components of, respectively (When is large enough and the frequency offset is not too big (e.g., ), from the Central-Limit Theorem (CLT) [23, Page 59], the IAI can be approximated as Gaussian noise).

where the second expectation term has been derived in (31), and the first expectation term can be similarly derived as (31) by replacing p i with 2p i.

Joseph Loschmidt, an Austrian chemist, recognized in 1861 that most aromatic substances have formulas that can be derived from benzene by replacing one or more hydrogens by other atoms or groups.

which converts the power index into transmission rate and can be easily derived from (14) by replacing with.

CHEBI:50047 organic amino compound A compound formally derived from ammonia by replacing one, two or three hydrogen atoms by organyl groups.