Let O be a conic in the classical projective plane PG(2, q), where q is an odd prime power. With respect to O, the lines of PG(2, q) are classified as passant, tangent, and secant lines, and the points of PG(2, q) are classified as internal, absolute and external points. The incidence matrices between the secant/passant lines and the external/internal points were used in [5] to produce several ...

We prove an uncertainty relation, which imposes a bound on any joint measurement of position and momentum. It is of the form (∆P )(∆Q) ≥ C~, where the ‘uncertainties’ quantify the difference between the marginals of the joint measurement and the corresponding ideal observable. Applied to an approximate position measurement followed by a momentum measurement, the uncertainties become the precisi...

position and two alkylthio side chains at the 5and 6-position were synthesized as possible antimetabolites of coenzyme Q. These compounds were tested for inhibition of coenzyme Q in mitochondrial succinoxidase and reduced nicotinamide adenine dinucleotide (NADH)-oxidase systems, and were found to show greater inhibition of the NADH-oxidase system than of the succinoxidase system. 5, 6Di-octylth...

We prove the following theorem: For a partially ordered set Q such that every countable subset has a strict upper bound, there is a forcing notion satisfying ccc such that, in the forcing model, there is a basis of the null ideal of the real line which is order-isomorphic to Q with respect to set-inclusion. This is a variation of Hechler’s classical result in the theory of forcing, and the stat...

Remark: Economist’s Heuristics for the Neyman-Pearson Lemma Cosma Shalizi of Carnegie Mellon has suggested the following nice heuristic argument for the optimality of likelihood ratio tests. We want to choose a rejection region, R such that under the alternative hypothesis, the probability of falling into R, which we will denote, Q(R) is as large as possible, given that we satisfy a constraint ...

We prove the following theorem: For a partially ordered set Q such that every countable subset has a strict upper bound, there is a forcing notion satisfying ccc such that, in the forcing model, there is a basis of the null ideal of the real line which is order-isomorphic to Q with respect to set-inclusion. This is a variation of Hechler’s classical result in the theory of forcing, and the stat...

1. Propose a quantum mechanical model for the LC circuit and show that its (quantum) energy eigenvalues can be written in terms of the frequency ω = 1/ √ LC. 2. What is the meaning of the quantum eigenstates? [Hint: if you are not satisfied to find the quantum model by simple similarity with a very well-known model, consider ∂E ∂E that we have: = −Φ̇ and ̇ = Q, thus Φ and Q are generalized canoni...

The many criticisms of null hypothesis testing suggest when it is not useful and what is should not be used for. This article explores when and why its use is appropriate. Null hypothesis testing is insufficient when size of effect is important, but it is ideal for testing ordinal claims relating the order of conditions, which are common in psychology. Null hypothesis testing also is insufficie...

Two accelerating cosmological models are presented in symmetric teleparallel $f(Q)$ gravity, $Q$ be the non-metricity. The constructed based on assumptions of two different functional forms and a dynamically changing nature deceleration parameter that shows transition at $t=2n\pm\sqrt{\frac{4n^2+1}{3}}$, $n$ being positive constant. In both models, equation state for dark energy gravity becomes...

Glutathione S-transferases (GSTs; EC: 2.5.1.18) are a ubiquitous family of eukaryotic and prokaryotic phase II metabolic isozymes. Genes encoding GSTM1 (OMIM: 138350), and GSTT1 (OMIM: 600436) are members of class mu and theta, respectively. The most common polymorphism in the GSTM1 is a deletion of the whole GSTM1 gene with a lack of enzyme activity. A homozygous deletion in the GSTT1 has also...