www-ai.cs.tu-dortmund.de/de/LEHRE/FACHPROJEKT/SS12/paper/outlier/marascu2009.pdf
following way :
similMatrix(s1, s2) = Pm
i=1 min(s1i , s2i).
For instance, with two sequences s1 and s2 in the matrix of Fig- ure 1, this sum is: s1a + s2b + s2c = 1 + 0 + 1 = 2.
Sometimes, the alignment has [...] , and so of L
2(R). The basis functions are constructed as follows:
ψj,n(x) = 2− j 2 ψ(2−j
x− n), n ∈ Z
Therefore, L2(R) is decomposed into an infinite sequence of wavelet spaces, i.e.L2(R) =
L j∈Z Wj [...] the space L
2(R) consists of a sequence of nested subspaces such as:
... ⊂ V2 ⊂ V1 ⊂ V0 ⊂ V−1... ⊂ Vj+1 ⊂ Vj ...
S j∈Z Vj = L
2(R)
T j∈Z Vj = {0}
∀j ∈ Z if f(x) ∈ Vj ⇐⇒ f(2−1 x) ∈ Vj+1
( or f(2j x) ∈ V0) …
