... solu-
tions of a delay differential equation, while in the second example, we will obtain the
bound of the solutions of an integral equation.
For the sake of proving the global existence of solutions of ... validity of the present integral inequalities.
2 Main results
In the rest of the paper we denote the set ofreal numbers as R,andR
+
=[0,∞)isa
subset of R. Dom(f)andIm(f) denote the definition domain ... Zheng and Feng: Some new nonlinear integral inequalities and their applicationsin the
qualitative analysis ofdifferential equations. Journal of Inequalities and Applications 2011 2011:20.
Submit...
... an indication of the meaning of words. They also have a fixed
spelling. Because morphemes are represented in spelling, many word that is
seemed to have an unpredictable or irregular spelling ... time and scope, we have introduced some features of
English morpheme system as well as its importance in learning English in
general and spelling, developing vocabulary in particular. It’s also ... mạnh mẽ: strong → powerful
• rực → rực rỡ: flaring → blazing
The reduplication decreasing intensity:
• nhẹ → nhè nhẹ: soft → mild (less)
• xinh → xinh xinh: pretty → cute
• đỏ → đo đỏ: red → reddish
•...
... current DA tagging as
a work in progress.
4.3.3 Zone coding
Each of the five main areas had a correspond-
ing set of subzones. A subzone is a building, a
room within a building, or any other ... activities (quest-
ing, competing, fighting, etc.) and communicate
via chat or speech using assumed screen names.
We collected a corpus of 48 group quests in
Second Life that jointly involved 206 ... corresponding se-
ries of progressive moments in time portraying en-
try into the Bank subzone as represented in RAT. In
the annotation, each avatar name is recorded in or-
der of its entry into the subzone...
... expression in (16), bearing in mind that
when k =0the total is just N
2
, the number of terms in the sum over j and l.
Random Matrices and Number Theory 5
APPLICATIONS OF RANDOM MATRICES IN PHYSICS
ing. ... and enjoy rapidly growing list ofapplicationsin seem-
ingly disconnected disciplines of physics and mathematics.
A few recent, randomly ordered, examples of emergence of the Random
Matrix Theory ... connection between the Riemann zeros and the
primes. In outline, the proof involves computing the pair correlation function
of the derivative of N(T ). Using the explicit formula (5), this pair correlation
function...
... this discipline often extends not only into the realms
of technology, but also into the domains of the fine arts, for it engenders unparallel
potential for creativity and imagination in its practice. ... trove of
information and a joy to read, bringing each named reaction to life and conveying a
strong sense of its utility and dynamism. The inclusion of an up-to-date reference listing
offers ... formation of
tetrahydropyridines, which are key intermediates in the synthesis of piperidines. A one-pot, two-step synthesis of
unsaturated piperidines from 2-ketoaziridines utilizing the aza-[2,3]-Wittig...
... study the release of progeny
FCS instrumentation for use in living cellsFigure 1
FCS instrumentation for use in living cells. On the left hand, there is schematic FCS setup including laser excitation ... type of electromagnetic
spectroscopy which analyzes fluorescence from a sample.
The sample is excited by using a beam of light which
results in emission of light of a lower energy resulting in
an ... Medicine
Open Access
Review
Emerging applicationsof fluorescence spectroscopy in medical
microbiology field
Aamir Shahzad*
1
, Gottfried Köhler
1
, Martin Knapp
2
, Erwin Gaubitzer
2
,
Martin...
... ntegrable on the interval I deter-
mined by roots of a(x);
(3) a(x)p(x )vanishesattheendpointsofI and, in case there is an end point at
infinity, the product a(x)p(x)P(x) should vanish at infinity for ... is integrable on the entire interval.
The integrability of the weight function determines the differential equation and
finiteness of the norm of poly nomials ensures that manipulations as in ... in every degree which is an
eigenfunction of L.
Specializing to second-order equations because of their importance inapplications
and leaving in this article the higher-order case because of...
... solutions on different kinds of deterministic differential equations
have been considerably investigated in lots of publications [5-15] because of its signifi-
cance and applicationsin physics, mechanics, ... solutions for a class of stochastic differentialequationsin a real
separable Hilbert space. We study also some properties of square-mean almost
automorphic functions including a compostion theorem. ... Our
main result is established by using fractional powers of linear operators and Banach
contraction principle. The obtained result can be seen as a contribution to thi s emer-
ging field since...
... are given to illustrate
our results.
1. Introduction
Owing to the memory behavior cf., e.g., 1, 2 of materials, many practical problems in
engineering related to viscoelasticity or thermoviscoelasticity ... the boundedness of St.
Therefore,
f
t
: S
t
x 2.38
is bounded and uniformly continuous on 0, ∞. In addition, the half-line spectrum set of ft
is just the following set:
iη ∈ ... 0
α
e
τ·
∗ f
t
0
2.42
uniformly for t ≥ 0. Finally, combining 2.40 with Theorem 7, Theorem 4.1, we complete
the proof.
3. Applications
In this section, we give some examples to illustrate...
... β
2
x
0
/y
0
.
Our main goal will be to give a description of the dynamics of the system in terms of
the eigenvalues of the associated matrix A given in 2.2. We begin with the f ollowing result
concerning 2-periodic ... that the fixed points 0, ±
√
α
2
are not attracting, since every solution
starting on the line x 0 is 2-periodic.
Remark 4.8. It is interesting to notice that, in the three cases in which there ... the solutions starting on a point of the line x 0 are prime period-two solutions except
the two equilibrium points 0, ±
√
α
2
,
c the solutions starting on a point of the lines β
2
x α
2
−...
... challenges
in distributed, resource-constrained stream mining systems,
and decision-making in dynamic environments. In Section 3,
we introduce the application of interest, which is optimizing
distributed ... algorithms that can be played in the
state by the set of existing rules R. Instead of changing the
probability density of mixed rule r
· R through reinforcing
each existing rule, we propose a solution ... confidence level of data in classification. A value-
dependent load shedding approach is given in [11, 15]for
chains of binary filtering classifiers, where each classifier
configures its operating point (e.g.,...
... and are interested in finance, insurance and other areas of risk
management will find the following flowchart helpful. It suggests the read-
ing for an introduction into quantitative methods in finance ... N
t
made a jump, that is,
τ
k
=inf{t ≥ 0: N
t
≥ k} (1.1.23)
for k ∈N, t ≥ 0.
In some applications, as in the modeling of defaults, the intensity λ
t
that
a certain type of event occurs may depend ... part of the material is
concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting,
reproduction on microfilm or in any other way, and storage in...