We consider matroids with the property that every subset of ground set size s is contained in a 2s-element circuit and t 2t-element cocircuit. say such matroid has (s,2s,t,2t)-property. A an (s,t)-spike if there partition into pairs union any Our main result all sufficiently large (s,2s,t,2t)-property are (s,t)-spikes, generalizing 2019 proved case where s=t. also present some properties (s,t)-...

Background IgE sensitization to storage proteins from nuts and seed is often related to severe allergic symptoms. There is a risk of immunological IgE cross-reactivity between storage proteins from different species. The potential clinical implication of such cross-reactivity is that allergens other than the known sensitizer can cause allergic symptoms. Previous studies have suggested that kiwi...

Problem A1 We call a finite set of positive integers feasible if every member of S has the form 23, and no member of S divides any other member of S. We call a positive integer n feasible if n = ∑ S for some feasible set S. We are required to show that every positive integer is feasible. If not, then there exists a smallest infeasible number n. If n is even, say n = 2k for some positive integer...

Let A, B ⊆ R be finite, nonempty subsets, let s ≥ 2 be an integer, and let h1(A,B) denote the minimal number t such that there exist 2t (not necessarily distinct) parallel lines, l1, . . . , lt, l ′ 1, . . . , l ′ t , with A ⊆ ⋃t i=1 li and B ⊆ ⋃t i=1 l ′ i . Suppose h1(A,B) ≥ s. Then we show that: (a) if ||A| − |B|| ≤ s and |A|+ |B| ≥ 4s − 6s+ 3, then |A+B| ≥ (2− 1 s )(|A| + |B|)− 2s+ 1; (b) i...

Delsarte-Goethals-Seidel [9] studied finite subsets X in the unit sphere S = {x = (x1, x2, . . . , xn) ∈ R n | x1 + x 2 2 + · · · + x 2 n = 1} from the viewpoint of algebraic combinatorics. Here the following two parameters s = s(X) and t = t(X) play important roles. The s is called the degree of X and is defined as the number of distinct distances between two distinct elements of X, (then X is...

The 1,5-benzodiazepine clobazam is indicated for the adjunctive treatment of seizures associated with Lennox-Gastaut syndrome in patients 2 years of age or older in the United States, and for treatment of anxiety and various forms of epilepsy elsewhere. Clobazam has been reported to exhibit different in vivo adverse effects and addiction liability profile than the classic 1,4-benzodiazepines. I...

Using a 4.19 fb−1 data sample collected with the CLEO II detector at the Cornell Electron Storage Ring, we have searched for dipion transitions between pairs of Υ resonances at center of mass energies Ecm = 10.58 GeV and Ecm = 10.52 GeV. We obtain the 90% confidence level upper limits B(Υ(4S) → Υ(2S)π+π−) < 3.9 × 10−4 and B(Υ(4S) → Υ(1S)π+π−) < 1.2 × 10−4. We also observe the transitions Υ(3S) ...

BACKGROUND Butane-2,3-diol (2,3-BD) is a fuel and platform biochemical with various industrial applications. 2,3-BD exists in three stereoisomeric forms: (2R,3R)-2,3-BD, meso-2,3-BD and (2S,3S)-2,3-BD. Microbial fermentative processes have been reported for (2R,3R)-2,3-BD and meso-2,3-BD production. RESULTS The production of (2S,3S)-2,3-BD from glucose was acquired by whole cells of recombina...

In studies of the resistance of inbred mice to infection with Trypanosoma cruzi Peru, mouse strain B10.S was the only strain which survived the infection resulting from the inoculation of 10(3) trypomastigotes. This is the only inbred mouse strain studied to survive infection. To investigate the effect of the H-2 haplotype on survival, C57BL/10 congenic mouse strains bearing H-2S recombinant ha...