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We take the functions of two proteins to be similar if both their functional annotations fall into the same class.
Take the functions,,, so that, which map the set into.
Take the functions f ( z ) = z and f ( z ) ≡ 1, respectively.
We take the functions φ, F, and ψ defined in Example 2.4.
If we take the functions r, ψ, f and the constant α > 0 satisfying the condition of Theorem 2.1, then Equation (E) is oscillatory.
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Take the function f ( z ) given by the above.
Particularly, take the function in dynamic equation as (5.5).
So we can take the function (v_{mu}) as a test function in (1.6).
Take the function Sgn ( x ) is the same as the one in Proof of Theorem 3.1.
For simplicity, we take the function (f(I)) of the form (1+beta I).
We take the function Pmin1(T ab ) in (16) as an example to explain the approximation.
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