Báo cáo toán học: "On the crossing number of Km,n" potx
Báo cáo toán học: "On the Asymptotic Distribution of the Bootstrap Estimate with Random Resample Size" ppsx
... natural number n and every A ∈A, (P
∗
(A) > 0), which completes the
proof.
Proof of Theorem 2.1.
If EX
2
< ∞ then s
2
n
→ σ
2
a.s. Therefore, the theorem follows if we show that
the conditional ... replacing the unknown distribution by the empirical
distribution of the data in the definition of the statistical function, and then
resampling the data to obtain a...
Báo cáo toán học: "On the Asymptotic Behavior of Solutions of a Nonlinear Difference Equation with Bounded Multiple Delay" pptx
... =min
1ir
m
i
, ˆm =
1
r
r
i=1
m
i
.
The proofs of the following theorems can be obtained similarly as the proofs
of Theorem 6.20.1, Theorem 6.20.2 in [1], so we omit them here.
Theorem 2. Assume that
xF ... further that
lim sup
x,y→∞
H(x, y)
x
< 1 − λ
∗
, (2.2)
Then every solution {x
n
}
∞
n=−m
of (2.1) is bounded.
Proof. The proof follows from applying the mean value t...
Báo cáo toán học: " On the Representation Categories of Matrix Quantum Groups of Type A" docx
... understand the comodule category over the corresponding Hopf algebra. The
pair (r, s), where r is the number of roots and s is the number of poles of P
∧
(t)
(see 2.1.4), is called the bi-rank of the ... element of
M. The construction of the linear functional resembles the integral on the Hopf
algebra H given in the previous section. In fact, using the...
Tài liệu Báo cáo khoa học: "Selecting the “Right” Number of Senses Based on Clustering Criterion Functions" pdf
... all values of
k from 1 N , and then determines the mean and
standard deviation of the criterion function. Then,
a score is computed for each value of k by sub-
tracting the mean from the criterion ... single threshold. The graph of the
P K1 scores shown in Figure 1 illustrates the dif-
ficulty - the slope of these scores is nearly linear,
and as such the threshold (...
Báo cáo toán học: " On the first- and second-order statistics of the capacity " ppt
... statistical analysis of the capacity of N∗Nakagami-m
channels. Specifically, we have studied the influence of the severity of fading and the
number of hops on the PDF, CDF, LCR, and ADF of the channel capacity. ... levels r. Furthermore, the
variance of the channel capacity decreases by increasing the number of hops, while increase
in the severity of fa...
Báo cáo toán học: " On the boundedness of the solutions in nonlinear discrete Volterra difference equations" pot
... α(j) = 0, 0 ≤ j ≤ n. Then the solution of (4.4) and (4.5) is bounded
if and only if the condition (5.5) is satisfied.
Proof. The proof is immediate consequence from proof of Theorem 4.3 with Remark ... condition for the
boundedness of all solutions of (1.1) and the scalar case of (1.1), respectively.
The next result provides a sufficient condition for the boundedness of...
Báo cáo toán học: " On the interchannel interference in digital communication systems, its impulsive nature, and its mitigation" docx
... the
response of the DoL circuit equals that of an RC inte-
grator with RC = τ. Otherwise, the output has a smaller
absolute rate of ch ange than the absolute rate of change
of the output of the corresponding ... of the peaks
of the instantaneous power originate at zero modulation
amplitude (at onsets and ends of the modulating pulses),
while others originat...
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