With k an infinite field and τ1,τ2 endomorphisms of km, we provide a dimension bound on open locus determinantal scheme, under which, for general subspace V⊆km n≤m/2, v1,v2∈V have τ1(v1)=τ2(v2) only if v1=v2. Specializing to permutations composed by coordinate projections, obtain abstract proof the theorem [10].

37 38 In visual cortex, responses to stimulation of the receptive field (RF) are modulated by 39 simultaneous stimulation of the RF surround. The mechanisms for surround modulation 40 remain unidentified. We previously proposed that in V1, near surround modulation is 41 mediated by geniculocortical and horizontal connections, and far surround modulation by 42 inter-areal feedback connections. T...

Cross-talk between the phospholipase C and adenylyl cyclase signalling pathways was investigated in Chinese hamster ovary (CHO) cells transfected with the V1a and V2 vasopressin receptors. Cell lines expressing V1a, V2, or both V1a and V2 receptors, were established and characterized. Stimulation of V2 receptors by vasopressin induced a dose-dependent increase in cAMP accumulation, whereas stim...

[Arg8]vasopressin and oxytocin are the two main members of the neurohypophysial hormone family found to be present in nearly all mammals. [Lys8]vasopressin ([Lys8]VP) has been identified as the antidiuretic hormone in pig and some marsupial families. The porcine-derived kidney epithelial cell line, LLC-PK1, expresses both [Lys8]VP receptors coupled to the activation of adenylate cyclase (V2 rec...

The interconnected areas of the visual system work together to find object boundaries in visual scenes. Primary visual cortex (V1) mainly extracts oriented luminance boundaries, while secondary visual cortex (V2) also detects boundaries defined by differences in texture. How the outputs of V1 neurons are combined to allow for the extraction of these more complex boundaries in V2 is as of yet un...

The subject of this article is the models turbulence based on introduction neural network components into widespread standard semi-empirical models. It stated that such technique allows achieving significant acceleration calculation while maintaining sufficient accuracy and stability, by training data acquires with use fairly accurate advanced models, as well replacing complementing separate fr...

The aim of this article is to classify completely integrable systems of the following form ut = u3 + f(u, v, u1, v1, u2, v2, ), vt = g(u, v, u1, v1). Here, ui = ∂u/∂x, ut = ∂u/∂t. The popular symmetry approach to the classification of integrable partial differential systems requires large calculations. That is why we applied the simpler ”Chinese” method that deals with canonical conserved densi...

In this paper, we give a complete answer to the following question: Given an integer v = 0 or 1 (mod 3) and an integer k, does there exist a twofold triple system of order v with exactly k repeated triples? In particular, we prove the following theorem: If u = 0 or 4 (mod 6), D > 12. then there exists a twofold triple system of order v having exactly k repeated triples if and only if k~ I:, whe...