A Generalization of Riemann Sums Omran Kouba
Tài liệu Báo cáo khoa học: "A GENERALIZATION OF THE OFFLINE PARSABLE GRAMMARS" doc
... conjectures that grammars whose
acyclic backbone is depth-bounded in fact
generate the same languages as the offline
parsable grammars.
Conclusion
The offline parsable grammars apparently
have enough ... sorts, assign a
sort to each label and to each atomic dag. The
arity of a label is a set of sorts (not a sequence of
sorts as in term unification). A dag is well-form...
Báo cáo toán học: "A Generalization of Gosper’s Algorithm to Bibasic" docx
... 1995.
[2] W. Al-Salam and A. Verma, On quadratic transformations of basic series,SIAMJ.
Math. Anal., 15 (1984), 414–421.
[3] G. Gasper, Summation, transformation, and expansion formulas for bibasic series,
Trans. ... journal of combinatorics 3 (1996), #R19 16
[4] G. Gasper and M. Rahman, An indefinite bibasic summation formula and some quadratic,
cubic, and quartic summation and transform...
Báo cáo toán học: " Colored partitions and a generalization of the braid arrangemen" docx
... U
A
=
H A
H of
an arrangement A. The result by Ziegler &
ˇ
Zivaljevi´c is actually far more general and
is valid for general arrangements of linear subspaces. Here, we state an equivariant
version ... combinatorics of an arrangement of hyperplanes
in
C
n
that generalizes the classical braid arrangement. The arrangement plays
in important role in the work of Schechtman &...
Báo cáo toán học: "DETERMINANT IDENTITIES AND A GENERALIZATION OF THE NUMBER OF TOTALLY SYMMETRIC SELF-COMPLEMENTARY PLANE PARTITIONS" pptx
... observation makes it apparent that similar replace-
ments in the rest of Step 1 of Proposition 5 will produce a valid proof of Lemma 7.
In particular, in (4.17), in the statements of Claim 1 and Claim ... to give a short inductive proof of the determinant evaluation
in Theorem 10 (and also of its q-analogue in [9]), and could also be used to give an
inductive proof of the de...
Báo cáo toán học: "RESTRICTED SET ADDITION IN GROUPS, II. ˝ A GENERALIZATION OF THE ERDOS-HEILBRONN CONJECTURE" pptx
... with
(a, b) /∈R, and we obtain a partial generalization of this estimate for arbitrary Abelian
groups.
1. Background: mapping restrictions
For two subsets A and B of the set of elements of a group ... number of sums a+ b where a ∈ A and b ∈ B range over given sets A, B ⊆ Z/pZ
of residues modulo a prime p,sothata = b. A solution was given in 1994 by Dias da
Si...
Báo cáo toán học: "A generalization of Simion-Schmidt’s bijection for restricted permutations" doc
... number of diagram
squares of rank at least m − 2. In particular, π avoids all patterns of A
m
if and only if
every diagram square is of rank at most m − 3.
the electronic journal of combinatorics ... components of a diagram form Young
diagrams. For a diagram square, its rank is defined to be the number of dots northwest
of it. Clearly, connected diagram squares have the s...
Báo cáo toán học: "Chromatic number for a generalization of Cartesian product graphs" pot
... of graphs. A d-fold grid over G is a graph obtained from a
d-dimensional rectangular grid of vertices by placing a graph from G on each of the
lines parallel to one of the axes. Thus each vertex ... DIMACS, DIMATIA and Renyi tripartite work-
shop “Combinatorial Challenges” held in DIMACS in April 2006; we thank the DIMACS
center for its hospitality. We also thank Stephen Hartk...
Báo cáo toán học: "A generalization of generalized Paley graphs and new lower bounds for R(3, q)" pot
... by a .
This equivalence relation gives rise to a partition of A
i
. In fact, an equivalence class is an
orbit of A
i
under the action of H.
Lemma 5 Let k be a special element of ord er s of the ... a, a, ka, −ka, . . . , k
s−1
a, −k
s−1
a} of A
i
forms an i nterval
under ≺ with a ≺ a ≺ ka ≺ −ka ≺ · · · ≺ k
s−1
a ≺ −k
s−1
a.
(2) Assume that x ∈ a , y ∈ b and...