Báo cáo toán học: "FASTER AND FASTER CONVERGENT SERIES FOR ζ(3)" doc
Báo cáo toán học: " Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions" ppt
... (a
3
), (b
3
), (H
1
), (H
2
) and
the following conditions hold true:
(b
+
) b(t) ≥ 0 for t ≥ 0.
(f
+
) f(x, t) ≥ 0 for x ∈ Ω and t ≥ 0.
(g
+
) g(x, t) ≥ 0 for x ∈ ∂Ω and t ≥ 0.
(f
2
)
+
There exist ... < p
∗
(x) for x ∈
¯
Ω and
lim inf
t→0
|F (x,t)|
|t|
r
1
(x)
< +∞ uniformly for x ∈ Ω.
(g
5
) There exists r
2
∈ C
0
(
¯
Ω) such that 1 < r
2
(x) < p
∗
(x) for...
Báo cáo toán học: "Laplacian Integral Graphs with Maximum Degree 3" docx
... conclusion is straightforward to determine. Since tr(D
4
) =
n
i=1
d
4
i
and
tr(A
2
D
2
) =
n
i=1
d
3
i
, it suffices to find tr(ADAD) and tr(A
4
). For the former expression,
note that for each i = ... edges of the form i ∼ j
where d
i
= 2 and d
j
= 3, and
3n−5a
2
edges of the form i ∼ j where d
i
= 3 = d
j
= 3. We
find that
i∼j
d
i
d
j
=
27n−21a
2
and
i∼j
(d
i
+ d
j
− 2) =...
Báo cáo toán học: "FASTER AND FASTER CONVERGENT SERIES FOR ζ(3)" doc
... +2)!(n +1)
2
(2n +1)
2
.
For s =3 we have
ζ(3) =
∞
n=0
(−1)
n
72
4n
n
3n
n
{
6120n +5265n
4
+ 13761n
2
+ 13878n
3
+ 1040
(4n + 1)(4n +3)(n + 1)(3n +1)
2
(3n +2)
2
},
and so on.
References
[A] ... 2
For s =2 we obtain
ζ(3) =
1
4
∞
n=1
(−1)
n−1
56n
2
− 32n +5
(2n − 1)
2
1
3n
n
2n
n
n
3
where ... certify combinatorial identities,Jour.Amer.Math.Soc.3 (1990), 147-158.
[Z] D...
Báo cáo toán học: " An overview of learning mechanisms for cognitive systems EURASIP Journal on Wireless Communications and Networking " pot
... provide the ground
for enabling proactive handling of problematic situations, i.e. identifying and
handling issues that could undermine the performance of the system before
these actually ... Learning and
predicting the performance is also the target of the cognitive controller built
using multilayer feed-forward neural network [13]. The controller performs
this task for differen...
Báo cáo toán học: " Existence and uniqueness of nonlinear deflections of an infinite beam resting on a non-uniform nonlinear elastic foundation" pptx
... right-continuous, and thus, is continuous.
By (11) and (14), we have ηk ≤ f
u
(0, x) ≤ k, and so −(1 −η) k ≤ f
u
(0, x) −k ≤ 0 for every
10
Figure 1: Infinite beam on nonlinear and non-uniform elastic ... C
q
(R) if u ∈ C
q
(R) for
q = 0, 1, 2, . .
(F2) f(u, x) ·u ≥ 0, and f
u
(u, x) ≥ 0 for every u, x ∈ R.
(F3)
For every υ ≥ 0, sup
x∈R, |u|≤υ
∂
q
f
∂u
q
(u, x)
<...
Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx
... exists m ≥ 0 such that β(t) ≥ ϕ
∗
for all t ∈ I
−
and
β
(t) = m ≥ max
y ≤max
I
β
f(t, β(t), y) for a.a. t ∈ I
0
.
Therefore, α and β are lower and upper solutions for problem (1).
Example 5 ... that β (t) ≥ k(t) for all t ∈ I
−
and
β
(t) = m ≥ max
y ≤max
I
β(t)
f(y) for all t ∈ I
0
. (25)
So we deduce from (24) and (25) that α and β are lower and upper
solutions...
Báo cáo toán học: " DWT and LPC based feature extraction methods for isolated word recognition" pptx
...
uniform decomposition. Dyadic decomposition divides the input signal
bandwidth into the logarithmic set of bandwidths, whereas the uniform
decomposition divides it into the uniform set of bandwidths. ... frequency subbands of
the frame. Each frame of speech signal is decomposed (uniformly/dyadic)
into different frequency subbands using discrete wavelet transform (DWT)
and each subband...
Báo cáo toán học: " Universal and efficient compressed sensing by spread spectrum and application to realistic Fourier imaging techniques" ppt
... signal x with a random waveform and
randomly under-sample the result in time-domain. The random convolution is performed through a
random pre-modulation in the Fourier domain and the signal thus ... a set of m indices chosen independently and uniformly at random from {1, . . . , N
w
},
and y = A
c
Ω
α ∈ C
m
. For some universal constants C > 0 and γ > 1, if the number of mea...
Báo cáo toán học: " Synthesis and anti-HSV-1 evaluation of new " docx
... (1:3), and the precipitate was filtered and recrystallized from
DMF and water. A mixture of the acids 3a–k and 4a–c (1 mmol), and phosphorus
oxychloride (5 mL) was heated under reflux for 3 ...
filtered, dried, and recrystallized from a mixture of ethanol and water. The compounds
obtained 5a–k and 6a–c were reacted with 10 mL NaOH (20%) and 10 mL of ethanol
under refl...
Báo cáo toán học: " Structural and optical properties of ZnS thin films deposited by RF magnetron sputtering" potx
... designed and carried out the experiments and wrote the first draft of
the manuscript. JHA analyzed the properties and helped draft the
manuscript. KNH and KSH detailed the original idea and modified ... distance between the target and substrate
was about 50 mm. The substrates were cleaned with acet-
one and isopropyl alcohol for 10 min each and then rinsed
with deionized wat...
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