Báo cáo toán học: " Coverings, heat kernels and spanning trees" ppt
Báo cáo toán học: " Coverings, heat kernels and spanning trees" ppt
... a graph G and a covering
˜
G of G and we study the relations of
their eigenvalues and heat kernels. We evaluate the heat kernel for an infinite
k-regular tree and we examine the heat kernels for ... Coverings, heat kernels and spanning trees
Fan Chung
†∗
University of Pennsylvania
Philadelphia, Pennsylvania ... path P
with vertices v
0
, ,v
p
where p = D(G). Suppose...
Báo cáo toán học: "Counting two-graphs related to trees" ppt
... way; and
graphs G
1
and G
2
represent the same two-graph if and only if they are related by switching
withrespecttoasetY of vertices. (This operation consists of interchanging adjacency
and non-adjacency ... Bernstein and N. J. A. Sloane, Some canonical sequences of integers, to appear in
Linear Algebra and Appl.
2. P. J. Cameron, Two-graphs and trees, Discrete Math. 127 (1994),...
Báo cáo toán học: "Coverings, Laplacians, and Heat Kernels of Directed Graphs" ppt
... F. R. K. Chung, Laplacians and the Cheeger inequality for directed graphs, Ann. of
Comb., 9 (2005), 1–19.
[3] F. R. K. Chung and S T. Yau, Coverings, heat kernels, and spanning trees, Electron.
J. ... the methods of [3] and use them to compare
the eigenvalues and eigenfunctions of the base and the cover graphs. As an application,
we calculate the heat kernel of the homesi...
Báo cáo toán học: " On the first- and second-order statistics of the capacity " ppt
... MATHEMATICA.
The PDF p
C
(r) and the CDF F
C
(r) of the capacity C(t) of N∗Nakagami-m channels are
presented in Figures 2 and 3, respectively. Also, the approximation results obtained in (23)
and (24) are shown ... values of the fading parameter m
n
and the numb er of hops N in
N∗Nakagami-m channels. In Figures 4 and 5, we have also included the approximations
obtained in (25) and...
Báo cáo toán học: " Strong convergence theorems and rate of convergence of multi-step iterative methods for continuous mappings on an arbitrary interval" pptx
... useful and crucial for our following results.
Lemma 3.2 Let E be a closed interval on the real line and T : E → E be a con-
tinuous and nondecreasing mapping such that F(T ) is nonempty and bounded ... u
1
> u
1
and Tx
1
> x
1
. By using
(1.9), (1.11) and the same argument as in Case 1, we can show that x
n
≥ u
n
for all
n ≥ 1. We note that x
1
< L and by using (1.11)...
Báo cáo toán học: " Integrated acoustic echo and background noise suppression technique based on soft decision" docx
... suppress the acoustic echo and the noise signal
with a single gain based on soft decision. For this, the noise and echo spectral
are separately and efficiently estimated and combined by a single ... between the microphone input and the estimate echo, and
(2) the cross-correlation coefficient between microphone input and the residual
error of the suppressor are computed and used to...
Báo cáo toán học: " Acute myocardial infarction and coronary vasospasm associated with the ingestion of cayenne pepper pills in a 25-year-old male" pot
... article.
Authors’ contributions
OS and YS treated the patient and wrote the case report. HK and MTG critically revised
the manuscript. All authors read and approved the final manuscript.
... imbalance between oxygen demand and
supply, intense sympathetic stimulation, non-atherosclerotic coronary disease, coronary
trauma, coronary vasospasm, coronary thrombosis, and endo...
Báo cáo toán học: " Overview of principles and implementations to deal with spatial issues in monitoring environmental effects of genetically modified organisms" pot
... on appropriate scales of space and time, and the quality and quantity of data should be
representative and interpretable. Criteria for selecting monitoring sites and regions include
representativeness ... supported by an adequate and efficient information platform that
handles documentation and exchange of metadata (site descriptions, quality control data),
measuring data a...
![Báo cáo toán học: " [18F]CFT synthesis and binding to monoamine transporters in rat" pdf](https://media.store123doc.com/images/document/2014_06/20/medium_gvf1403270414.jpg)
Báo cáo toán học: " [18F]CFT synthesis and binding to monoamine transporters in rat" pdf
...
contributed in the concept and design of the study, in acquiring data, in analyzing and
interpreting data, and in drafting the manuscript and has critically contributed to and
revised the manuscript, ... first author and has taken part in all aspects of preparing the manuscript. PM has
contributed in the concept and design of the study, in acquiring preclinical data, and i...
![Báo cáo toán học: " Inequalities for convex and s-convex functions on Delta=[a,b]x[c,d]" potx](https://media.store123doc.com/images/document/2014_06/20/medium_tXeR8CTtqE.jpg)
Báo cáo toán học: " Inequalities for convex and s-convex functions on Delta=[a,b]x[c,d]" potx
... and MA carried out the design of the study and performed the analysis.
MEO (adviser) participated in its design and coordination. All authors read and
approved the final manuscript.
References
[1] ... = f(u, y) and f
x
: [c, d] → R,
f
x
(v) = f(x, v) are convex where defined for all y ∈ [c, d] and x ∈ [a, b ]. Recall that
SOME INTEGRAL INEQUALITIES 15
Computing the above integrals...