Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Larry X. W. Wang"'
Publikováno v:
International journal of clinical pharmacy. 44(2)
Background Nivolumab plus standard chemotherapy has significant clinical benefits for unresectable advanced or metastatic gastric cancer, gastroesophageal junction cancer, and esophageal adenocarcinoma (GC/GEJC/EAC). However, nivolumab is expensive,
Autor:
Larry X. W. Wang
Publikováno v:
Advances in Applied Mathematics. 110:180-196
The Turan inequality and its higher order analog arise in the study of Maclaurin coefficients of an entire function in the Laguerre-Polya class. It is well known that if a real entire function ψ ( x ) is in the LP class, the Maclaurin coefficients s
Autor:
Dennis X. Q. Jia, Larry X. W. Wang
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 150:1451-1466
Let p(n) denote the partition function. In this paper, we will prove that for $n\ges 222$, $$\left| {\matrix{ {p(n)} & {p(n + 1)} & {p(n + 2)} \cr {p(n-1)} & {p(n)} & {p(n + 1)} \cr {p(n-2)} & {p(n-1)} & {p(n)} \cr } } \right| > 0.{\rm }$$As a coroll
Publikováno v:
Transactions of the American Mathematical Society. 372:2143-2165
The Turán inequalities and the higher order Turán inequalities arise in the study of the Maclaurin coefficients of real entire functions in the Laguerre–Pólya class. A sequence { a n } n ≥ 0 \{a_{n}\}_{n\geq 0} of real numbers is said to satis
Publikováno v:
Discrete Mathematics. 341:3029-3043
Johnson proved that if s , t are coprime integers, then the r th moment of the size of an ( s , t ) -core is a polynomial of degree 2 r in t for fixed s . After that, by defining a statistic size on elements of affine Weyl group, which is preserved u
Autor:
Larry X. W. Wang, Harry H. Y. Huang
Publikováno v:
SIAM Journal on Discrete Mathematics. 32:1887-1902
In this paper, we are concerned with counting corners of core partitions. We introduce the concepts of stitches and antistitches, which are pairs of cells in a quotient space which we call wrap-up space. We prove that the antistitches of a rational D
Autor:
Larry X. W. Wang
Publikováno v:
Advances in Applied Mathematics. 124:102144
Chvatal's conjecture on the intersecting family of the faces of the simplicial complex is a long-standing problem in combinatorics. Snevily gave an affirmative answer to this conjecture for near-cone complex. Woodroofe gave Erdős-Ko-Rado type theore
Autor:
Larry X. W. Wang, Cindy C.Y. Gu
Publikováno v:
European Journal of Combinatorics. 58:52-60
Let D ( n , k ) be the set of derangements of n with k excedances and d ( n , k ) be the cardinality of D ( n , k ) . We establish a bijection between D ( n , k ) and the set of labeled lattice paths of length n with k horizontal edges. Using this bi
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 58:637-651
In this paper, we use the Riemann zeta functionζ(x) and the Bessel zeta functionζμ(x) to study the log behaviour of combinatorial sequences. We prove thatζ(x) is log-convex forx> 1. As a consequence, we deduce that the sequence {|B2n|/(2n)!}n≥
Publikováno v:
Acta Mathematica Sinica, English Series. 31:445-455
We consider context-free grammars of the form \(G = \{ f \to f^{b_1 + b_2 + 1} g^{a_1 + a_2 } ,g \to f^{b_1 } g^{a_1 + 1} \} \), where ai and bi are integers subject to certain positivity conditions. Such a grammar G gives rise to triangular arrays {