A test of the standard dark matter density evolution law using galaxy clusters and cosmic chronometers

In this paper, we implement a test of the standard law for the dark matter density evolution as a function of redshift. For this purpose, only a flat universe and the validity of the FRW metric are assumed. A deformed dark matter density evolution law is considered, given by $$\rho _c(z) \propto (1+z)^{3+\epsilon }$$ ρ c ( z ) ∝ ( 1 + z ) 3 + ϵ , and constraints on $$\epsilon $$ ϵ are obtained by combining the galaxy cluster gas mass fractions with cosmic chronometers measurements. We find that $$\epsilon =0$$ ϵ = 0 within 2$$\sigma $$ σ c.l., in full agreement with other recent analyses.

The electronic, half-metallic, elastic, and magnetic properties of new PtWZ (Z= In, Tl, Sn, and Pb) half-Heusler alloys via GGA and GGA+mBJ methods

The first-principle calculations of PtWZ (Z= In, Tl, Sn, and Pb) half-Heusler alloys were calculated by WIEN2k for GGA and GGA+mBJ methods. First, the ferromagnetic (FM) phases were obtained more energetically stable than non-magnetic (NM) and antiferromagnetic (AFM) phases in each alloy. The Curie temperatures of PtWIn, PtWTl, PtWSn, and PtWPb alloys were obtained as 286.98 K, 467.14 K, 721.98 K, and 1114.31 K, respectively, by utilizing the energy differences of the AFM and FM phases. In each method and alloy used, spin-up electrons showed metallic character. In the GGA method, PtW(In, Tl) alloys have direct band gaps of 0.72044 eV and 0.91488 eV in spin-down electrons, while PtW(Sn, Pb) alloys have indirect band gaps of 1.2558 eV and 1.11892 eV, respectively. In the GGA+mBJ method, the bandgap directions in all compounds remained the same. Here, band gaps in PtW(In, Tl, Sn, and Pb) alloys were obtained as 0.99918 eV, 1.15385 eV, 1.42676 eV, and 1.17497 eV, respectively. While the total magnetic moment values of PtW(In, Tl) half-Heusler alloys were obtained as 1.00 μB/f.u., the total magnetic moments of PtW(Sn, Pb) alloys were obtained as 2.00 μB/f.u. These results are in full agreement with the Slater-Pauling rule. According to elastic calculations, PtWIn, PtWTl, PtWSn, and PtWPb half-Heusler alloys are elastically stable and ductile.

THE PRINCIPLE OF EQUIVALENCE OF ENERGY SPENT ON PROCESS AND OF STEP OF TIME

It was formulated the physical principle of the equivalence of the energy expense during the process of the Universe spreading and of the step of time. It was also shown that physical time is a material quantity connected with expending our Universe at constant velocity. A parallel was carried out between the increase of the size of the drops and bubbles and the expending of the Universe. The above principle is in full agreement with SR and GTR. It was shown as well that physical time could quantize.

Optional agreement as successful/failed Agree

We investigate optional predicate agreement in Santiago Tz’utujil (Mayan). Several generalizations emerge: (i) inanimate arguments base-generated as complements control agreement optionally; (ii) some animate arguments base-generated as complements control agreement optionally; (iii) all arguments base-generated as specifiers control full agreement obligatorily. We propose that two conditions must be met for the operation Agree to succeed, resulting in the exponence of all the features of the agreement controller. First, a goal must be visible (bear the right feature). Second, a goal must be accessible (be in the right structural position). If one or both conditions are not met, Agree fails, but the derivation converges and 3sg agreement is exponed. While Agree is deterministic, surface optionality arises when the operation fails. We use optional agreement to diagnose the syntactic structure of understudied constructions in Mayan (nominalizations, Agent Focus). We discuss microvariation, highlighting methodological considerations that arise when assuming an I-language approach.

The Canonical, Legal and Liturgical Consequences of the Redefinition of the Sacrament of Marriage in the Old Catholic Churches

Both the Roman Catholic Church and the canonical Orthodox Churches, or Churches associated with the Union of Utrecht, include marriage in the seven sacraments. Nevertheless, there is no agreement between them regarding the minister of the sacrament, the possibility of a second marriage after divorce or clergy marriage. In recent years, tensions in individual ecclesial communities have also been exacerbated by canonical legalization of same-sex relationships. This issue concerns, in particular, the Churches whose bishops are part of the International Conference of Old Catholic Bishops. In the West European Old Catholic Churches of the Union of Utrecht there is full agreement that homosexual orientation is one of the variants of human nature. Old Catholics Theologians believe that the condemnation of homosexuality which we find in Scripture resulted from the state of knowledge at the time and related cultural connotations. They point out that modern science shows this phenomenon in a completely different perspective, based on the results of scientific research unknown to either the Biblical tradition or the Tradition of the early Church. The consequence of this was the opening of the debate on their nature and on the possibility of blessing same-sex relationships.

STABILITY ANALYSIS OF RELATIVISTIC POLYTROPES

We study the relativistic self-gravitating, hydrostatic spheres with a polytropic equation of state, considering structures with the polytropic indices n=1(0.5)3 and illustrate the results for the relativistic parameters σ=0−0.75. We determine the critical relativistic parameter at which the mass of the polytrope has a maximum value and represents the first mode of radial instability. For n=1(0.5)2.5, stable relativistic polytropes occur for σ less than the critical values 0.42, 0.20, 0.10, and 0.04, respectively, while unstable relativistic polytropes are obtained when σ is greater than the same values. When n=3.0 and σ>0.5, energetically unstable solutions occur. The results of critical values are in full agreement with those evaluated by several authors. Comparisons between analytical and numerical solutions of the given relativistic functions provide a maximum relative error of order 10−3.

Voltammetric Electrochemical Sensor for Phylogenetic Study in Acer Linn.

Acer Linn. is a highly divergent species morphology in the maple family (Aceraceae). It is one of the genera facing a very difficult taxonomic situation. The phylogeny of the genus and the taxonomic system under the genus remain unclear. The use of electrochemical fingerprints for plant phylogenetic study is an emerging application in biosensors. In this work, leaves of 18 species of Acer Linn. with an exo-taxa were selected for electrochemical fingerprint recording. Two different conditions were used for improving the data abundance. The fingerprint of all species showed a series of oxidation peaks. These peaks can be ascribed to the oxidation of flavonols, phenolic acids, procyanidins, alkaloids, and pigments in plant tissue. These electrochemical fingerprints can be used for the identification of plant species. We also performed a phylogenetic study with data from electrochemical fingerprinting. The phylogenetic tree of Acer is divided into three main clades. The result is in full agreement with A. shangszeense var. anfuense, A. pictum subsp. mono, A. amplum, A. truncatum, and A. miaotaiense, belonging to the subsection Platanoidea. A. nikoense and A. griseum were clustered together in the dendrogram. Another group that fits the traditional classification results is in the subsection Integrifolia.

The Lindbladian form and the reincarnation of Felix Bloch's generalized theory of relaxation

The relationship between the classic magnetic resonance density matrix relaxation theories of Bloch and Hubbard and the modern Lindbladian master equation methods are explored. These classic theories are in full agreement with the latest results obtained by the modern methods. A careful scrutiny shows that this also holds true for Redfield's later treatment, offered in 1965. The early contributions of Bloch and Hubbard to rotating-frame relaxation theory are also highlighted. Taken together, these seminal efforts of Bloch and Hubbard can enjoy a new birth of contemporary relevance in magnetic resonance.

Induced velocities outside the ideal propeller jet

Object and purpose of research. The paper is devoted to the analysis of induced flow velocities outside the ideal propeller jet. The purpose is to widen capabilities of estimations. Materials and methods. Analysis of data on this issue has shown that complicated and quite labor-consuming methods are used for these purposes. It is attempted to devise a calculation scheme based on direct determination of induced velocities from discrete sinks simulating the ideal propeller. For this purpose an algorithm and software is developed for PC implementation. Testing of the computer program allowed us to define conditions ensuring the accuracy of calculations, it confirmed practically full agreement with the data obtained by other authors and possibility for widening the range of its application. Main results. Systematic calculations of induced velocities outside the ideal propeller jet were done allowing us to determine the flow velocity at any point of a wide area for engineering purposes. Conclusion. Longitudinal and radial component velocities induced by ideal propeller outside its jet were calculated based on directly assessed influence of the system of sinks distributed over the propeller disk on the ideal fluid flow. The algorithm for calculations was developed, the software was written and tested. Systematic calculations of induced velocities were done, which could be used for practical estimations.

Why So Much Consensus?

An even more holistic approach to the problem is adopted by looking at how collective decision-making impacts the choices and characteristics of individual agents, e.g. their shareholdings, their beliefs about economic prospects, or even their preferences. The thesis is that individual characteristics shape collective choices and are at the same time shaped by them, forming a duality between persons and groups. The analysis is deployed on the network of affiliation of investors to firms. Indeed, suppose the Pareto principle holds at both the collective and individual levels, then a full agreement between all agents occurs within a cluster of investors and firms, despite potentially severe market failures—the ‘single thought’ theorem. Efficiency results from the endogeneity of individual characteristics, yet the theorem is strikingly strong and clear-cut. An analysis of what it takes for the Pareto principle to hold is proposed in each of the three contexts of market failure.