... exact BLOSUM normalized score, that is
the algebraic sum of the four terms, together with the rough
BLOSUM score, directly obtained by summing up the inte-
ger values of the BLOSUM- θ matrix. As already ... Rousu
Mathematical tools developed in the context of Shannon information theory were used to analyze the meaning of the BLOSUM
score, which was split int...
... that the set of solutions of SGSVQEP is closed.
Let {x
α
,u
α
: α ∈ I} be a net in the set of solutions of SGSVQEP such that x
α
,u
α
→
x
∗
,u
∗
. By definition of the set of solutions of ... to the set of solutions of SGSVQEP. Hence the set of solutions
of SGSVQEP is closed set. This completes the proof.
If we take S S
1
S
2
, F F
1
F
2
,andT...
... > 0ifr s>0andJ < 0ifr s<0.
Using Theorem 1.3, this completes the proof.
Proof of Corollary 2.4. By the proof of Theorem 2.3, there must be J < 0ifr s<0. Note
fx, y H
L
r, ... strictly increasing in p on 1/2, ∞ if r s>0.
This proof is completed.
Proof of Corollary 2.5. By the proof of Theorem 2.3, there must J < 0ifr s<0. Notice
fx, y ...
... H
m
(z)is
the transfer function of the subchannel of H(z), correspond-
ing to the signal transmission channel from the source to
the mth microphone. Then, the task of dereverberation is
to recover the ... estimate the source
signal, the dereverberation may require the inverse filter of
the room acoustic system. Therefore, blind speech derever-
beration involves t...
... of the WASPAA 2007 in Mohonk, the Or-
ganizing Chair of the ICA 2003 in Nara, the General Chair of the
IWAENC 2003 in Kyoto. He is an IEEE Fellow, a Council Member
of the ASJ, and the Chair of ... re-
lated to the sparseness of the sources. The sparser the signals
are, the smal ler the value of c can be, because the number of
outliers that must be a...
... face of talking speaker.
The feature used is the histogram of the hue plane of the
face pixels. The face of the speaker is first extracted from
thevideo.Thehueplaneofthefaceregionofeachframe
is then ... decision. The values
of the log likelihood obtained from the recognizer is small.
For audio it is of the order of
−300 to −200, whereas
for video is of the...
... whether the result of Theorem D about
the case α γ holds for ρ
∗
-mixing sequence.
2 Journal of Inequalities and Applications
The notion of ρ
∗
-mixing seems to be similar to the notion of ... Erd
¨
os 13 proved the case r 2andp 1 of the above
theorem. The case r 1andp 1 of the above theorem was proved by Spitzer 14.Anand
Yuan 9 studied the weight...
... “On the stability of the linear functional equation,” Proceedings of the National Academy of
Sciences of the United States of America, vol. 27, pp. 222–224, 1941.
3 Th. M. Rassias, “On the ... Cholewa 6 noticed that the theorem of Skof is still true
if the relevant domain X is replaced by an abelian group. Indeed, Czerwik in 7 proved
the Cauchy-Rassias stabil...
... and t ∈
k
, then the delta derivative of f at the point
t is defined to be the number f
Δ
tprovided it exists with the property that, for each ε>0,
there is a neighborhood U of t such that
f
σ
t
− ... an active
area of research. We refer the reader to 1–5 and the references therein for introduction
on this theory. In recent years, there has been much at...
... |z|≤1}
denote the fields of complex, real numbers, the set of natural numbers, the unit circle, the
open unit disc, and the closed unit disc, respectively. The symbol F denotes a field that can
be either ... let GA denote the set of all
invertible elements of A. We define the spectrum of an element f of A to be the set {λ ∈
F : λ1 − f/∈ GA} and denote it by σ...