In "An almost Cubic Lower Bound for Depth Three Arithmetic Circuits", [KST16] present an infinite family of polynomials in VNP, {Pn}n∈Z+ on n variables with degree n such that every ∑∏∑ circuit computing Pn is of size Ω̃(n3). A similar result was proven in [BLS16] for polynomials in VP with lower bound Ω ( n3 2 p logn ) . We present a modified polynomial and perform a tighter analysis to obtain ...

A parameter whose coupling to a quantum probe of n constituents includes all two-body interactions between the constituents can be measured with an uncertainty that scales as 1/n3/2, even when the constituents are initially unentangled. We devise a protocol that achieves the 1/n3/2 scaling without generating any entanglement among the constituents, and we suggest that the protocol might be impl...

We performed this retrospective study to assess the association of epidermal growth factor receptor (EGFR) with metastatic presentations in advanced non-small cell lung cancer (NSCLC). The data from 125 patients with stage III or IV NSCLC were analyzed. We detected EGFR mutations in 36 NSCLC patients. EGFR mutations were predominant in never-smokers (P < .001), patients with adenocarcinomas (P ...

The present paper describes the approach and two technical solutions for interoperation between business rules represented in various formats. The Semantic Web techniques are used to enable this interoperation. One of the interoperation methods uses the Java Interoperation Object (JIO) described in the context of Positional-Slotted Language (POSL), which a human-friendly variant of the Rule Mar...

Studied the fatty acid (FA) composition of erythrocyte membranes in patients with arterial hypertension associated with dyslipidemia. The fatty acid composition of erythrocyte membranes was studied by gaz chromatography. In all hypertensive patients are disturbed lipid FA composition of erythrocytes: increase in saturated fatty acids (15:0, 16:0), monoenic fatty acids (18:1n9, 18:1n7), polyunsa...

Boolean functions with symmetry properties are interesting from a complexity theory perspective; extensive research has shown that these functions, if nonconstant, must have high ‘complexity’ according to various measures. In recent work of this type, Sun gave bounds on the block sensitivity of nonconstant Boolean functions invariant under a transitive permutation group. Sun showed that all suc...

Solution. Let np denote the number of p-Sylow subgroups. Since n11 is 1 mod 11 and divides 12, we know n11 is either 1 or 12. If it is 1, then it is normal and we are done. So instead, assume n11 is 12. Then there must be 120 elements of order 11 in G, leaving only 12 more elements available. Since n3 is 1 mod 3 and divides 44, we know that n3 is 1, 4 or 22. If it is 1, then again it is normal ...

Cucumber plants (Cucumis sativus L. cv. Brunex) were grown under controlled conditions in an experimental greenhouse and treated with four rates of N in the form of KNO3 (N1, 5 g/m ; N2, 10 g/m; N3, 20 g/m; and N4, 40 g/m). The intermediate N rates (N2 and N3) gave higher utilization of NO3 ÿ in the leaves (highest NR activities) than treatment N1 (inadequate) and N4 (excessive). This latter ra...