The basic problem of interest in this note is: What finite groups G admit a Kantor family (i.e., 4-gonal family) of subgroups? We begin with a survey of the known examples (of the groups G, not of the Kantor families) and then pose the question of whether or not two specific examples are isomorphic. The two groups in question have order q and coexist for q = 3 ≥ 27. Our conjecture had been that...

Objectives. To investigate how Xiao-Ai-Ping injection, a traditional Chinese medicine and an ancillary drug in tumor treatment, enhances the antitumor effects of cisplatin on Lewis lung cancer (LLC) cells. Methods. LLC-bearing mice were daily intraperitoneally injected with various doses of cisplatin, Xiao-Ai-Ping, or cisplatin plus Xiao-Ai-Ping, respectively. Body weight and tumor volumes were...

Generalizing a result of Pourchet, we show that, if α, β are power sums over Q satisfying suitable necessary assumptions, the length of the continued fraction for α(n)/β(n) tends to infinity as n→∞. This will be derived from a uniform Thue-type inequality for the rational approximations to the rational numbers α(n)/β(n), n ∈ N. Introduction. The features of the continued fraction of a positive ...

Let A and B be two finite sets of points with total cardinality n, the many to many point matching with demands and capacities matches each point ai ∈ A to at least αi and at most α ′ i points in B, and each point bj ∈ B to at least βj and at most β ′ j points in A for all 1 ≤ i ≤ s and 1 ≤ j ≤ t. In this paper, we present an upper bound for this problem using our new polynomial time algorithm.

Through structure-based and directed evolution approaches, a new catalytic activity has been established on the (β/α)8 barrel enzyme triosephosphate isomerase (TIM). This work started from ml8bTIM, a monomeric variant of TIM, in which the phosphate-binding loop (loop-8) had been shortened. Structure analysis suggested an additional point mutation (V233A), converting ml8bTIM into A-TIM. A-TIM ha...

The purpose of this observational study was to determine if the Protection Motivation Theory could predict and explain adherence to aromatase inhibitor (AI) therapy among breast cancer survivors. Purposive sampling was used to identify 288 survivors who had been prescribed AI therapy. A valid and reliable survey was mailed to survivors. A total of 145 survivors completed the survey. The Morisky...

A l though AI p lann ing techniques can potent ia l l y be useful in several manufac tur ing domains, this potent ia l remains largely unrealized. In order to adapt AI p lanning techniques to manufac tu r ing , i t is impo r tan t to develop more realistic and robust ways to address issues impo r t an t to manufac tur ing engineers. Furthermore, by invest igat ing such issues, AI researchers ma...

and Applied Analysis 3 positive τij and τ̇ ij such that 0 ≤ τij t ≤ τij and τ̇ij t ≤ τ̇ ij < 1; kij · correspond to the delay kernel functions, coupledmatrix are αij t n×n and βij t n×n in which αii t ≥ 0 and βii t ≥ 0 and αij t , βij t are bounded on 0, ∞ . Throughout this paper, we assume for system 2.1 and 2.2 that H1 amplification functions ai · are continuous and there exist constants ai, ai ...

Let (T,M) be a complete local domain containing the integers. Let p1 ⊆ p2 ⊆ · · · ⊆ pn be a chain of nonmaximal prime ideals of T such that Tpn is a regular local ring. We construct a chain of excellent local domains An ⊆ An−1 ⊆ · · · ⊆ A1 such that for each 1 ≤ i ≤ n, the completion of Ai is T , the generic formal fiber of Ai is local with maximal ideal pi, and if I is a nonzero ideal of Ai th...

Let p be an odd prime with 2-adic expansion ∑k i=0 pi · 2 . For a sequence a = (a(t))t≥0 over Fp, each a(t) belongs to {0, 1, . . . , p − 1} and has a unique 2-adic expansion a(t) = a0(t) + a1(t) · 2 + · · ·+ ak(t) · 2 , with ai(t) ∈ {0, 1}. Let ai denote the binary sequence (ai(t))t≥0 for 0 ≤ i ≤ k. Assume i0 is the smallest index i such that pi = 0 and a and b are two different m-sequences ge...