Báo cáo toán học: "n the non–existence of certain hyperovals in dual Andr´ planes of order 22h e" pot
Báo cáo toán học: "n the non–existence of certain hyperovals in dual Andr´ planes of order 22h e" pot
... existence of inherited ovals in the dual plane of H(q
2
), which is a Moulton plane M(q
2
)
of the same order.
Moulton planes have been originally introduced in [10], by altering some of the lines
of ... over the real field, while keeping the original point
set fixed. In particular, each line of the Moulton plane turns out to be either a line of the
origi...
Báo cáo toán học: "n the number of distributive lattices" ppsx
... sum” (p + q, ) is the canonical representative for the
ordinal sum P ⊕Q. More involved is the proof of the following property of the “canonical
2-sum” P +
2
Q := (p + q,
2
).
Theorem 6 If P =(p, ... because every nonempty antichain of P +
2
Q
different from {q −1,q} is either contained in Q or in P
+q
, while the empty antichain is
contained in both.
An ordinally ind...
Báo cáo toán học: "On the non-holonomic character of logarithms, powers, and the nth prime function" ppsx
... proof involves considering the analytic
continuation of T (z) and then extracting a clearly non-holonomic term in the expansion
near a singularity. More of this in the next sections.
Amongst other ... fact that the precise knowledge of the behaviour of an analytic function in the vicinity of its
singular points is a source of arithmetic properties.”
the electro...
Báo cáo toán học: "On the Generalized Convolution with a Weight - Function for Fourier, Fourier Cosine and Sine Transforms" pot
... Suppose that there exists the right unit element e
2
of the operation of
the generalized convolution (11) in the space of functions in L(R
+
):
f(x) ≡ (f
γ
∗ e
2
)(x), ∀x>0.
Therefore
F (f
γ
∗ ... 4. In the space of functions belonging to L(R
+
) the operation of
the generalize d convolution (11) does not have the unit element but the left unit
element e
1...
Báo cáo toán học: "On the number of perfect matchings and Hamilton cycles in -regular non-bipartite graphs" ppsx
... (d +2)
ν
n!
ν!2
ν
completing the proof of part (a) of Theorem 1.
the electronic journal of combinatorics 7 (2000), #R57 5
Part 2 of the lemma follows from the chain of inequalities
1
φ(k)
≤
1
γ(k
0
)
≤
(β ... segment containing x, the segment containing x
, and the remaining segment.
Going round the cycle C
i
, starting at x
and ending at x, the vertices x, x
...
Báo cáo toán học: "On the crossing number of Km,n" potx
... ≥
m
5
Z(5,n)+2θ.
In the following lemma, A
is defined in the same way as in the proof of Lemma 1.
Lemma 3 Let λ be the number of distinct pairs of elements of B having the same cyclic
ordering of edges incident ... denote the cyclic ordering of the edges around u
1
,andc(u
2
) denote the cyclic
ordering of the edges around u
2
. Woodall [3] proved t...
Báo cáo toán học: "On the Kronecker Product s(n−p,p) ∗ sλ." ppsx
... remaining 1’s.
Since we are to obtain SSYTs, the remaining 1’s need to be placed at the beginning (left
end) of the remaining rows of λ/α (i.e. at the beginning of the rows of
¯
λ/¯α) such that no
two ... s
γ
i
s
λ
. The leaves of the obtained tree are the
diagrams indexing the Schur functions in the decomposition of s
µ/ρ
s
λ
. In performing the
algorith...
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