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Each sample j is transformed into a l-dimensional vector V j)∈ℝ l where the entries V j) l for each marker l are where v ranges over all genes v contained in the subnetwork marker S l and E v, j) is the expression of gene v in sample j.
To compute the decomposition of a character into irreducible characters, we can use the inner product on characters: 〈χ, χ'〉 = 1/|A10| ΣC|C|χ(C χ'(C), where C ranges over all the conjugacy classes of A10.
A complete solid-solution series involves the substitution in one or more atomic sites of one element for another that ranges over all possible compositions and is defined in terms of two end-members.
where the supremum ranges over all finite partitions α of X.
Note that (tau_{n} approx z_{n}), (tau_{n}) ranges over all point in (B y,r)).
In order to treat truth like other predicates, one will add the axiom ∀A(T[TA] ↔ TA) (where ∀A ranges over all sentences).
Similar(41)
It clearly cannot be taken to range over all sets, as this would lead straight to Russell's paradox: (13′) would then assert the existence of the Russell-set.
Speakers in this series range over all of the disciplinary areas represented in the MCB Dept.
Dr. Drake's equation consisted, and still consists, of seven factors, which range over all human knowledge and aspiration.
His books ranged over all aspects of racing, including distance, weights, track conditions, prospective payoffs and the impact of jockeys.
Pierce scored 14 in the fourth and was 8 for 12 from 3-point range over all to help the Celtics improve to 4-2.
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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