Structured motif planting: we selected the number b of boxes and the b pairs (ℓ i, e i ) using different rules, which we will specify when describing the experiments.
Let k be a fixed positive integer which will be specified later, and set (x=(x_{n})_{nin mathbb {Z}}) with (x_{n}=rho(frac {|n|}{k}) v_{n}).
With the parameter a ∈ (0,2), which will be specified later, we define the coefficients r k and q k as follows: q k : = a, for λ ∈ ( - ∞, a ), λ, for λ ∈ [ a, 2 ], 2, for λ ∈ ( 2, ∞ ), r k : = 1 q k.
We define, for positive constants and which will be specified later, a class of functions which consists of all functions satisfying conditions (2.2), (2.3), and (3.12).
For certain Guardian Masterclasss, a deposit is payable (which will be specified on the relevant Guardian Masterclass information).
For certain Guardian Masterclasses, a deposit may be payable (which will be specified on the relevant Guardian Masterclass information).
Furthermore,, and satisfy appropriate conditions which will be specified later.
(19) Then (theta>1), which will be specified later.
and let (delta _{1} leq {1over 2}delta _{0}) which will be specified later.
where,,, are some functions, and are some functionals, which will be specified below,.
