Báo cáo hóa học: " Some results on the partial orderings of block matrices" pptx
Báo cáo hóa học: " Some results on the partial orderings of block matrices" pptx
... R(A*)=R
(B*), then
A + B
∗
≤
C +
D
.
Proof. The proof is trivial and therefore omitted. □
3 Minus partial ordering
In this section, we present some results on the minus orderings of the matrix product
and ... China
Abstract
Some results relating to the block matrix partial orderings and the submatrix partial
orderings are given. Special attention is paid to...
Báo cáo hóa học: " Research Article ´ On the Cesaro Summability of Double Series" pptx
... Flett, On an extension of absolute summability and some theorems of Littlewood and Paley,”
Proceedings of the London Mathematical Society, vol. 7, pp. 113–141, 1957.
2 G. Das, “A Tauberian theorem ... Journal of the London Mathematical
Society, vol. 57, no. 1, pp. 170–182, 1998.
E. Savas¸etal. 3
Theorem 1. C, α, β ∈ BA
2
k
for each α, β > −1.
Proof. Let τ
αβ
mn
denote...
báo cáo hóa học:" Some results for the q-Bernoulli, q-Euler numbers and polynomials" ppt
... q-analogue of the Riemann’s ζ-functions, the
Hurwitz ζ-functions, and the Dirichlet’s L-functions. We prove that the value of
their functions at non-positive integers can be represented by the q-Bernoulli, ... C
p
denote the ring of p-adic integers, the field
of p-adic numbers, and the completion of the algebraic closure of Q
p
, respectively.
Let | · |
p
be the...
Báo cáo hóa học: " Some identities on the weighted q-Euler numbers and q-Bernstein polynomials" pot
... Cheon S Ryoo
2
* Correspondence: tkkim@kw.ac.kr
1
Division of General Education-
Mathematics, Kwangwoon
University, Seoul 139-701, Korea
Full list of author information is
available at the end of ... complex
number fields and the compl etion of algebraic closure of
Q
p
, respecti vely. Let N be the
set of natural numbers and ℤ
+
= N ∪ {0}. Let ν
p
be the normalized exponen...
báo cáo hóa học:" Some results on difference polynomials sharing values" pot
... addition, w e
will use the notations l(f) to denote the exponent of convergence of zero sequences of
meromorphic function f(z); s(f) to denote the order of f (z). We say that meromorphic
functions ... established a version of Nevanlinna
theory based on difference operators. Ishizaki and Yanagihara [6] developed a version
of Wiman-Valiron theory for difference equations of...
Báo cáo hóa học: " A note on the Königs domain of compact composition operators on the Bloch space" doc
... satisfies the hypotheses of the Theorem and that any of
the equivalent conditions holds, then for r =|z|.
log |σ (z)| = o
log log
1
1 − r
.
We also provid e the followin g restatement of the hypotheses ... prove the following lemma.
Lemma 1. Under the hypotheses of the theorem, w and gwtendtothesameprime
end at ∞ , and ∂gΩ ⊂ Ω.
Proof. The first asser tion follows...
Báo cáo hóa học: " Research Article On the Soft Fusion of Probability Mass Functions for Multimodal Speech Processing" ppt
... 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 ... 20. The results indicate that the proposed soft fusion
method performs reasonably better than the audio only
recognition results and recognition results of con...
báo cáo hóa học:" Research Article On the Symmetric Properties of the Multivariate p-Adic Invariant Integral on Zp Associated with the Twisted Generalized Euler Polynomials of Higher Order" docx
... Q
p
,andC
p
denote
the ring of rational integers, the ring of p-adic integers, the field of p-adic rational numbers,
and the completion of algebraic closure of Q
p
, respectively. Let N be the set of natural
numbers. ... 1
m
e
w
1
w
2
xt
∞
k0
E
m
k,χ,ξ
w
1
w
2
x
w
k
1
t
k
k!
.
2.10
Journal of Inequalities and Applications 7
Comparing the coefficients on...
báo cáo hóa học:" Research Article On the Asymptotic Optimality of Opportunistic Norm-Based User Selection with Hard SINR Constraint" pot
... spacing on AP 0.5 λ ULA
type of antennas on AP sectorized (120
◦
)
nr. of antennas on user 1
type of antennas on user omnidirectional disc cone
position of AP entrance hall
position of users ... −1
)
e
−x
x
N−1
Γ
(
N
)
P
(
N,x
)
K−2
−P
(
N,x
)
K−1
,
(A.7)
where P(N, x) is the regularized gamma function [25].
The proof of Lemma 7 is direct. The distribution of
...
Báo cáo hóa học: "Research Article On the Information Rate of Single-Carrier FDMA Using Linear Frequency Domain Equalization and Its Application for 3GPP-LTE Uplink" doc
... N
u
is the length of the transmitted signal block of the
uth user whose post-detection SNR is denoted as γ
u
, P
n,u
is
the power of the nth transmitted symbol of the uth user, and
h
n,u
is the ... conservation of the DFT precoder at
the transmitter and invertibility of IDFT at the receiver leads
to the conclusion that the mutual information is preserve...