Exact(1)
Therefore, after simplifying: Note that if we let n grow without bound, the expression (12) becomes the well-known range formula.
Similar(58)
Along with other notebook-esque apps like Notability, Evernote strives to organize and simplify note-taking by putting all possible needs in one place.
We describe the method only for two-SNP haplotypes or four-allele markers to simplify notation, noting that extension to markers with any number of alleles or haplotypes composed of more SNPs is straightforward.
Thus, θ n, r can be interpreted as the proportion of the transcripts in the nth tumor arising from the 'tissue' represented by profile b r. (Note that to simplify notation, we occasionally indicate θ n,1, θ n,2,..., θ n, R and α n using the vector θ n of length R+1 whose rth element is θ n, r for r < R+1 and whose R+1st element is set to α n).
To simplify the notation, we note: θ R = θ R xz, θ G = θ G xz et θ B = θ B yz.
In 1862, while mourning the death of more than 600 soldiers in Harrison's Landing, Va., Butterfield modified the traditional late-night call -- shortening and lengthening notes and simplifying its sound -- and had his brigade's bugler, Oliver Willcox Norton, try it out.
Summarize the main points of your notes by simplifying them and filtering out unnecessary information, then study the summary.
When nothing worked, they simplified their ransom note, saying President Obama and the Democrats had to sit down with them and negotiate something, or anything.
To simplify notations, we note τ M, k = C k g M, k.
This yields: K k a km, b km = 2 π α k 1 σ x 2 + β k a km σ x 2 a km 2 + β k + 1 × exp − b km 2 2 1 − σ x 2 1 + σ x 2 β k + a km 2. Again, a Taylor series expansion can be used to simplify this expression.Note that in the biasless case we have: K k a km, 0 = 2 π α 1 σ x 2 + β k a km σ x 2 a km 2 + β k + 1 .
We assume ϵ1(t ) has constant variance, which simplifies estimation, but note that the assumption can be relaxed without affecting identification.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com