... Fibonacci-like sequence of composite numbers, Mathe-
matics Magazine 63 (1990), 21-25.
[5] Paulo Ribenboim, The Little Book of Big Primes (1991), 178.
[6] Paulo Ribenboim, The New Book of Prime Number ... coverings of the integers given the m
k
) and minimize the a’s and b’s con-
structed by Knuth’s method. Thus the minimum values of a and b are determined
for the pairs (p
k
,m
k
)...
... the recursion relation of the Stirling numbers of second
kind [3 8, Page 33]. In the cas e of arbitrary h, the generalized Stirling numbers are rescaled
Stirling numbers of second kind, see (9).
Example ... recursion relation of the signle ss Stirling numbers
of first kind [38, Lemma 1.3.3]. In the case of arbitrary h, the generalized Stirling numbers
are rescaled signl...
... d
2
). This completes the proof of Theorem 43.
the electronic journal of combinatorics 18 (2011), #P158 32
Proof of Theo rem 44. The proof is almost identical with the one of Theorem 43. We only
need ... y-degree of
some D. This completes the proof of Claim.
Now we continue the proof of CASE 1. By assumption, d
2
≤ d
1
, d
1
+ d
2
=
n
2
− k,
and (#ν) ≤ d
2
since ν is a parti...
... 15q
4
+ 9q
5
+ 3q
6
) + t
5
q
21
).
The proof of (a) is a consequence of Theorem 1.1a that follows. The proof of (b)
will be fully given at the end of Section 3. It uses the following argument: ... σ
/(tq; q)
n
to
obtain
σ∈T
n
q
imaj σ
/(q; q)
n
.
3. Proof of Theorem 1.1
For the proof of identity (1.14) we shall start with the definition of cos
(r)
q
(u) given
in ( 1.7), and ex...
... average number of reached nodes—
it is a sort of approximated indicator of the “depth” of the propagation process. Since the RE can be
interpreted as the ratio between the average number of reached ... conditions—
this is the very idea of IF. The shape of p, as a function of d, is shown in Figure 5, for different values of c
and ρ
s
. It can be observed that the PAF of SIF...
... the large
amount of cadmium-containing waste during the deposi-
tion process. Therefore, the development of a Cd-free
buffer layer is one of the major objectives in the field of
CIGS solar cells.
Today, ... 7:26
http://www.nanoscalereslett.com/content/7/1/26
Page 7 of 7
The influence of the substrate temperatures on the sur-
face morphology of the films was investigated using th...
... force microscopy [AFM]
images of the TiO
2
/ZrO
2
thin films. One can clearly
seethatthesurfacemorphologyofthefilmsdepends
on the annealing temperature. The RMS roughness of
the as-deposited film ... 7:31
http://www.nanoscalereslett.com/content/7/1/31
Page 3 of 5
Acknowledgements
This work is supported in part by the National Nature Science Foundation of
China (No. 51072049), STD and...
... goal of activity analysis is to automatically classify
the activities into predefined categories. The perfor-
mance of supervised statistical classifiers often depends
on the availability of labeled ... classifier
results after applying accumulation of evidence are
shownintheformofconfusionmatrixinTable7.The
majority of the classifier errors occur during the transi-
tion of states...
... (3/19) of the border
29
Table 5. Optimization of AMT conditions in 100 ml of liquid IM
Number of
conidia
Number of
Agrobacterium
cells
Ra tio of
conidia :
Agrobacterium
Mean of transformants ...
(AS), 30 µg/ml
of kanamycin, and 100 µg/ml rifampicin. The cells were grown at 24°C until the
OD
660
reached 0.2–0.8. The average numbers of A. tumefaciens cells in 10...
... F-5 of enrofloxacin (Wetzstein et al. 1997) or ciprofloxacin
(Wetzstein et al. 1999), for which hydroxylation of position C-5 was indistinguishable from
hydroxylation of C-8. Degradation of ... identification of metabolites. Appl Environ
Microbiol 63:4272-4281
Wetzstein H-G, Stadler M, Tichy H-V, Dalhoff A, Karl W (1999) Degradation of ciprofloxacin
by basidiomycetes and iden...