... quantitative system for pulse
diagnosis in traditional Chinese medicine,” in Proceedings of
the 27th Annual International Conference of the Engineering
in Medicine and Biology Society (EMBS ’05), ... system for pulse measurement
and analysis of Chinese medicine,” in Proceedings of the 11th
Annual International Conference of the IEEE Engineering in
Medicine and Biol...
... The proof is complete.
5. Discussion
In this section, we offer some interesting discussion associated with boundary value problems
1.5.
Since the proof of the main theorem Theorem 4.1 in this ... results on
the existence of positive solutions by using fixed point theorem in cones. The proofs are based upon
the reduction of problem considered to the equivalent Fre...
... reasons: (1) the SNRs often found in
the environment span the range of
−10 to 5 dB and should
therefore be included in the evaluation of algorithms for
hearing aids [17]and(2)theSRTpoint,atwhichthereis
highest ... pass on the multitude of
cues otherwise available in the incoming sound. The internal
representation of the signals can then be incomplete and
difficult...
... at least one fixed point see 3.
In a recent paper Petrus¸el and Rus introduced the concept of “theory of a metric fixed
point theorem” and used this theory for the case of multivalued contraction ... operator.
Hindawi Publishing Corporation
Fixed Point Theory and Applications
Volume 2010, Article ID 178421, 10 pages
doi:10.1155/2010/178421
Research Article
The Theory of...
... combinations of functions,” in Proceedings of the 18th Spring-
Conference of the Union of Bulgarian Mathematicians, Albena, Bulgaria, April 1989.
Hindawi Publishing Corporation
Journal of Inequalities ... ,x
n
,
i
x
i
z
. 1.16
Applying the principle of induction over n we will prove that ρ
n
p, x ≥ γ.Inviewofthefact
that was mentioned at the beginning, we...
... non-Gaussian environments.
These algorithms are based on a fixed combination of the
LMS and the LMF algorithms or a time varying combination
of them. The time variation is used in adapting the
mixed control ... result in zero in the
denominator of expression (41) and therefore will make
μ take any value in the range of positive numbers, a
contradiction with the...
... paper, we introduce the Bernstein polynomials on the ring of p-adic
integers Z
p
. We also investigate some interesting properties of the Bernstein polynomials
related to the bosonic p-adic integrals ... 3k
l
−1
l
B
3kl
.
2.12
Continuing this process, we obtain the following theorem.
Theorem 2.4. The multiplication of the sequence of Bernstein polynomials
B
k,n...
... Secondly, the conditions of the globally
attractive prey-extinction boundary periodic solution of the investigated system are obtained.
Finally, the permanence of the investigated system is also obtained. ... as t →∞. This completes the proof.
The next work is to investigate the permanence of the system 2.4. Before starting our
theorem, we give the definition of...
... X
1
Ω with any constant C.
From the proposition above, the sharp constants for λ
1
and λ
2
in 1.7 are independent
of the choice of the equivalent norms of the auxiliary space XΩ. On the other ... holds
∞
0
ϕ
0
t
t
dt log 2. 3.12
Proof. i In view of the size of the support of ϕ
0
, we easily obtain 3.11.
ii If we integrate both the si...
... E
G
0,γ
rE
N
0,γ
r0,
completing the proof of the theorem.
8 Boundary Value Problems
Remark 2.3. The restriction a, b ∈W
1
in Theorem 2.2 guarantees the existence of such half-
eigenvalues, to which the corresponding ... completing the proof of ii.
As a function of α,Kα, p is continuous in α ∈ 1, ∞. Explicit formula of Kα, p can
be found in 17, Th...