Báo cáo toán học: "On the structure of (BCP)-operators and related algebras" potx
Báo cáo toán học: "On the Structure of Sets with Few Three-Term Arithmetic Progressions" pptx
... exp(−rt
2
/2).
Proof of the Lemma. The proof of this lemma is standard: G iven f as in the theorem
above, let g
0
be a random function from F
n
p
to {0, 1} (which can be thought of as a sequence
of random ... not bothered to optimize the
conclusion of the theorem (to the same extent as we did Theorem 1) given the method of
proof, though much more can certainly be pro...
Báo cáo toán học: " ON THE NUMBER OF DESCENDANTS AND ASCENDANTS IN RANDOM SEARCH TREES" ppsx
... >bdescendants, and the claim in the proposition follows.
On the other hand, let
j
be the number of comparisons made between the j
th
element and other
elements, during the partition where the j
th
element ... JOURNAL OF COMBINATORICS 5 (1998), #R20 8
3. The number of descendants in random BSTs
The number of the descendants D
n,j
of the j
th
node of a...
Báo cáo toán học: "On the structure and classification of SOMAs: generalizations of mutually orthogonal Latin" docx
... Thus, the the existence of a
SOMA(n − 1,n) is equivalent to the existence of n − 1 MOLS of order n, and hence
to the existence of a projective plane of order n.Ifnis a power of a prime then there
exists ... more of: a row permutation, a column permutation,
and renaming symbols.
In this paper we study the structure of a SOMA, and then report on the use of
com...
Báo cáo toán học: " On the boundedness of the solutions in nonlinear discrete Volterra difference equations" pot
... R
+
, 0 ≤ j ≤ n and p ∈ (0, 1).
The following result provides a necessary and sufficient condition for the boundedness of the solution of
(4.4) and (4.5). The necessary part of the next theorem was ... 2.3). Thus, the conditions of Theorem 3.1 hold, and the initial vector x
0
belongs to S,
and hence the solution x(n; x
0
) of (1.1) and (1.2) is bounded.
We...
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