Bloom filters are a probabilistic data structure used to evaluate set membership. A group of hash functions are used to map elements into a Bloom filter and to test elements for membership. In this paper, we propose using multiple groups of hash functions and selecting the group that generates the Bloom filter instance with the smallest number of bits set to 1. We evaluate the performance of th...

In this paper X denotes a set, R, R1, R2 denote binary relations, x, y, z denote sets, and n, m, k denote natural numbers. Let us consider a binary relation R on X. Now we state the propositions: (1) fieldR ⊆ X. (2) If x, y ∈ R, then x, y ∈ X. Now we state the propositions: (3) Let us consider sets X, Y . Then (idX)Y = X ∩ Y . (4) 〈x, y〉 ∈ R |2 X if and only if x, y ∈ X and 〈x, y〉 ∈ R. (5) dom(...

The following three propositions are true: (1) For all binary relations a, b holds a · b = a b. (2) Let X be a set, L be a non empty relational structure, S be a non empty relational substructure of L, f , g be functions from X into the carrier of S, and f , g be functions from X into the carrier of L. If f ′ = f and g = g and f ¬ g, then f ′ ¬ g. (3) Let X be a set, L be a non empty relational...

The problem of efficiently disseminating data from a mobile stimulus (source) to multiple mobile users (sinks) in a large-scale sensor network has been challenging. We address this problem by proposing a minimum-energy tree-based data dissemination scheme, Dynamic Localized Minimum-Energy Agent Tree-Based Scheme (DLATS). We exploit the fact that sensor nodes are stationary and location-aware. I...

For simplicity, we adopt the following convention: X denotes a real unitary space, x, y, y1, y2 denote points of X, i, j denote natural numbers, D1 denotes a non empty set, and p1, p2 denote finite sequences of elements of D1. Next we state the proposition (1) Suppose p1 is one-to-one and p2 is one-to-one and rng p1 = rng p2. Then dom p1 = dom p2 and there exists a permutation P of dom p1 such ...

Here, we report a resistance mechanism that is induced through the modulation of 16S ribosomal RNA (rRNA) processing on the exposure of Escherichia coli cells to aminoglycoside antibiotics. We observed decreased expression levels of RNase G associated with increased RNase III activity on rng mRNA in a subgroup of E. coli isolates that transiently acquired resistance to low levels of kanamycin o...

The ethcacy and safety of sequential intravenous/oral ciprofloxacin in rnoderate to severe respiratory tract infections (RTI) were cornpared with those of ceftazidirne in a prospective clinical trial. Sixty-six patients received IN ciprofloxacin (200 to 300 rng twice daily), followed by oral ciprofloxacin(500 rng twice daily). Fifty-six patients received intravenous ceftazidime (1 to 2 g two to...

For simplicity, we adopt the following convention: D is a set, x, x0, y, y0, z, z0, r, s, t are real numbers, p, a, u, u0 are elements of R3, f , f1, f2, f3, g are partial functions from R3 to R, R is a rest, and L is a linear function. We now state three propositions: (1) dom proj(1, 3) = R3 and rng proj(1, 3) = R and for all elements x, y, z of R holds (proj(1, 3))(〈x, y, z〉) = x. (2) dom pro...

Effects of the combined injection with progesterone and estradiol-17 (3 i.m. on the accumulation of the superficial pigment of the eggshell in the quail shell gland were investigated. Arninoglutethimide (AG, 20rng/100g BW) was administered s.c. to quail hens 10 h before the expected ovulation, followed by the administration of progesterone (0.1 rng/100 g BW) and estradiol-17 {1 (0.1 rng/100g BW...