We prove the consistency result from the title. By forcing we construct a model of g = ℵ1, b = cf(Sym(ω)) = ℵ2. We recall the definitions of the three cardinal characteristics in the title and the abstract. We write A ⊆ * B if A \ B is finite. We write f ≤ * g if f, g ∈ ω ω and {n : f (n) > g(n)} is finite. Definition 0.1. (1) A subset G of [ω] ω is called groupwise dense if – for all B ∈ G, A ...

The sym 5 mutants of pea, Pisum sativum L. cv Sparkle, do not differ in growth habit from their normal parent and nodulate poorly at a root temperature of 20 degrees C. If inhibitors of ethylene formation or action (Co(2+), aminoethoxyvinylglycine, or Ag(+)) are added to the substrate, nodulation of the sym 5 mutants is increased. Similar treatments of four other mutant sym lines do not restore...

Let Xn and Yn be the sets of quadratic forms and symmetric bilinear forms on an n-dimensional vector space V over Fq , respectively. The orbits of GLn(Fq ) on Xn × Xn define an association scheme Qua(n, q). The orbits of GLn(Fq ) on Yn × Yn also define an association scheme Sym(n, q). Our main results are: Qua(n, q) and Sym(n, q) are formally dual. When q is odd, Qua(n, q) and Sym(n, q) are iso...

We present SUSY LATTICE a C++ program that can be used to simulate certain classes of supersymmetric Yang–Mills (SYM) theories, including the well known N = 4 SYM in four dimensions, on a flat Euclidean space-time lattice. Discretization of SYM theories is an old problem in lattice field theory. It has resisted solution until recently when new ideas drawn from orbifold constructions and topolog...

We consider N = 4 supersymmetric Yang-Mills theory formulated in terms of N = 2 superfields in harmonic superspace. Using the background field method we define manifestly gauge invariant and N = 2 supersymmetric effective action depending on N = 2 strength superfields and develop a general procedure for its calculation in one-loop approximation. Explicit form for this effective action is found ...

We study Maldacena’s conjecture and the AdS/SYM correspondence on the Coulomb branch. Several interesting aspects of this conjectured AdS/SYM correspondence on the Coulomb branch are pointed out and clarified.

We prove that mcf < cf(Sym(ω))) and mcf > cf(Sym(ω)) = b are both consistent relative to ZFC. This answers a question by Banakh, Repovš and Zdomskyy and a question from [12].

Let SYM + denote the class of Boolean functions computable by depth-two size-n log O(1) n circuits with a symmetric-function gate at the root and AND gates of fan-in log O(1) n at the next level, or equivalently, the class of Boolean functions f such that f(x1; : : : ; xn) can be expressed as f(x1; : : : ; xn) = hn(pn(x1; : : : ; xn)) for some polynomial pn over Z of degree log O(1) n and norm ...

Plasmid genotypes of root nodulating rhizobial isolates of Sesbania, sampled from six ecologically distinct habitats, were characterized. Plasmid profile analysis revealed nine different plasmid types having molecular masses ranging from 30 to 300 MDa, distributed among six profile types that grouped the isolates into six plasmid classes. The six plasmid profiles were diverged from each other a...

We give arguments in the support of a relation between M-atrix theory and Maldacena’s conjecture. In the limit when the light-like circle of M-theory decompactifies, M-atrix theory conjecture implies the equivalence of 11-D light-cone supergravity and stronglycoupled (0+1)-D SYM. The large-N version of Maldacena’s conjecture, SUGRA/SYM duality, can be formulated as the validity of supergravity ...