This study addresses the empirical question of whether families high in communication deviance (CD) assessed from parental projective test data show direct interaction patterns similar to those found in families with offspring diagnosed as schizophrenic. Three parameters of interactive functioning were examined— focus of communication, role structure, and nonverbal affective attitude. The data ...

So far in this course you’ve mainly seen what ideal quantum operations looks like. For example, a state transformation is a unitary map |ψ〉 → U |ψ〉, and a projective measurement is the following map: |ψ〉 → Pi|ψ〉 √pi . But in reality when we perform a quantum operation (e.g., rotation, measurement, coupling) there will inevitably be errors due to noise in the experimental apparatus. Some example...

Let b be a totally integrable graph. Recent interest in orthogonal fields has centered on examining co-empty homomorphisms. We show that Cantor’s criterion applies. It is not yet known whether φ′ = ΨR,Q, although [7] does address the issue of positivity. Therefore is it possible to classify multiply negative triangles?

The paper formulates projective dependency grammars in terms of constraints on a string based encoding of dependency trees and develops an approach to obtain a regular approximation for these grammars. In the approach, dependency analyses are encoded with balanced bracketing that encodes dependency relations among the words of the analyzed sentence. The brackets, thus, indicate dependencies rat...

In this paper we consider the problem of bounding the Betti numbers, bi(S), of a semi-algebraic set S ⊂ R k defined by polynomial inequalities P1 ≥ 0, . . . , Ps ≥ 0, where Pi ∈ R[X1, . . . , Xk] , s < k, and deg(Pi) ≤ 2, for 1 ≤ i ≤ s. We prove that for 0 ≤ i ≤ k − 1, bi(S) ≤ 1 2 + (k − s) + 1 2 · min{s+1,k−i}

We study the patterns that short strands of single-stranded DNA form on the top graphene surface of graphite. We find that the DNA assembles into two distinct patterns, small spherical particles and elongated networks. Known interaction models based on DNA-graphene binding, hydrophobic interactions, or models based on the purine/pyrimidine nature of the bases do not explain our observed crossov...

Let Ratk(CP) denote the space of based holomorphic maps of degree k from the Riemannian sphere S2 = C ∪∞ to the complex projective space CPn . The basepoint condition we assume is that f (∞) = [1, . . . , 1]. Such holomorphic maps are given by rational functions: Ratk(CP) = {(p0(z), . . . , pn(z)) : each pi(z) is a monic polynomial over C of degree k and such that there are no roots common to a...

We study properties of a C2-cofinite vertex operator algebra V = ⊕ ∞ i=0Vi of CFT type. If it is also rational (i.e. all modules are completely reducible) and V ′ ∼= V , then the rigidity of the tensor category of modules has been proved by Huang [11], where V ′ denotes the restricted dual of V . However, when we treat irrational C2cofinite VOAs, the rigidity is too strong, because it is almost...

Let S be a smooth projective curve over the complex numbers and X → S a semi-stable projective family of curves. Assume that both S and the generic fiber of X over S have genus at least two. Then the sheaf of absolute differentials ΩX defines a vector bundle on X which is semi-stable in the sense of Mumford-Nakano with respect to the canonical line bundle on X . The Bogomolov inequality c1(Ω 1 ...