Acquaintance time of random graphs near connectivity threshold

Benjamini, Shinkar, and Tsur stated the following conjecture on the acquaintance time: asymptotically almost surely $AC(G) \le p^{-1} \log^{O(1)} n$ for a random graph $G \in G(n,p)$, provided that $G$ is connected. Recently, Kinnersley, Mitsche, and the second author made a major step towards this conjecture by showing that asymptotically almost surely $AC(G) = O(\log n / p)$, provided that $G$ has a Hamiltonian cycle. In this paper, we finish the task by showing that the conjecture holds in the strongest possible sense, that is, it holds right at the time the random graph process creates a connected graph. Moreover, we generalize and investigate the problem for random hypergraphs

Good Relationships Mean Good Lives : Warrior-Survivor Identity/ies in David Alexander Robertson\u27s 7 Generations

David Alexander Robertson\u27s graphic novel 7 Generations: A Plains Cree Saga，illustrated by Scott B. Henderson，moves backwards and forwards through and overlaps time in order to connect remembered stories and current experiences to Indigenous identities in Canada. This graphic novel，rendered in colour，was first published as four individual black-and-white comics with coloured covers: Stone，Scars，Ends/ Begins，and The Pact. The series follows the protagonist，Edwin，as he listens to the stories his mother and father tell him about his Plains Cree ancestors and family in order to help him heal after his attempted suicide. Although the stories embody the personal histories of Edwin\u27s ancestors，they may also be understood as representative of the stories of many Indigenous peoples in Canada. The narrative spans across more than 200 years of Canadian history: the first issue unfolds primarily in the early nineteenth century; the second progresses through the smallpox epidemic of 1870-71; the third follows Edwin\u27s father in a residential school in the 1960s; and the final issue continues Edwin\u27s father\u27s story and concludes，full circle，in 2010. At the end of this fourth book，The Pact，Edwin and his father，James，walk alongside a river，which becomes the site of their reconciliation. In this essay，I argue that Edwin\u27s warrior survivor identity is shaped in an interrelationship with the river that embodies his past and present ancestors

THE DERIVED DEMAND FOR IRRIGATION SCHEDULING SERVICES

Scientific irrigation scheduling is a technique for systematically determining the proper date and quantity of each irrigation in individual fields. This technique is presently being used by government agencies and private companies in the Western United States to assist farmers in planning irrigations. This paper presents the results of a case study of the regional economic effects of scheduling the A & B District in Idaho. The analysis indicated that substantial reductions in total water use resulted from implementation of the service. However, the acreage of scheduled irrigation actively was found to be sensitive to the cost of the service and the cost of irrigation water.Farm Management,

Representations of Menger (2,n)(2,n)-semigroups by multiplace functions

Investigation of partial multiplace functions by algebraic methods plays an important role in modern mathematics were we consider various operations on sets of functions, which are naturally defined. The basic operation for $n$-place functions is an $(n+1)$-ary superposition $[ ]$, but there are some other naturally defined operations, which are also worth of consideration. In this paper we consider binary Mann's compositions \op{1},...,\op{n} for partial $n$-place functions, which have many important applications for the study of binary and $n$-ary operations. We present methods of representations of such algebras by $n$-place functions and find an abstract characterization of the set of $n$-place functions closed with respect to the set-theoretic inclusion

Associative polynomial functions over bounded distributive lattices

The associativity property, usually defined for binary functions, can be generalized to functions of a given fixed arity n>=1 as well as to functions of multiple arities. In this paper, we investigate these two generalizations in the case of polynomial functions over bounded distributive lattices and present explicit descriptions of the corresponding associative functions. We also show that, in this case, both generalizations of associativity are essentially the same.Comment: Final versio

Explicit short intervals for primes in arithmetic progressions on GRH

We prove explicit versions of Cram\ue9r's theorem for primes in arithmetic progressions, on the assumption of the generalised Riemann hypothesis

Radiative Transitions in Charmonium from Lattice QCD

Radiative transitions between charmonium states offer an insight into the internal structure of heavy-quark bound states within QCD. We compute, for the first time within lattice QCD, the transition form-factors of various multipolarities between the lightest few charmonium states. In addition, we compute the experimentally unobservable, but physically interesting vector form-factors of the $\eta_c, J/\psi$ and $\chi_{c0}$. To this end we apply an ambitious combination of lattice techniques, computing three-point functions with heavy domain wall fermions on an anisotropic lattice within the quenched approximation. With an anisotropy $\xi=3$ at $a_s \sim 0.1 \mathrm{fm}$ we find a reasonable gross spectrum and a hyperfine splitting $\sim 90 \mathrm{MeV}$, which compares favourably with other improved actions. In general, after extrapolation of lattice data at non-zero $Q^2$ to the photopoint, our results agree within errors with all well measured experimental values. Furthermore, results are compared with the expectations of simple quark models where we find that many features are in agreement; beyond this we propose the possibility of constraining such models using our extracted values of physically unobservable quantities such as the $J/\psi$ quadrupole moment. We conclude that our methods are successful and propose to apply them to the problem of radiative transitions involving hybrid mesons, with the eventual goal of predicting hybrid meson photoproduction rates at the GlueX experiment.Comment: modified version as publishe

Effect of CaO/ SiO2 ratio on viscosity and structure of slag

The objective of this work is experimental determination of temperature dependences of viscosity of the molten CaO – Al2O3 - SiO2 system and assessment of impact of CaO/SiO2 ratio on viscosity and structure of this system. Experimental measurements of viscosity were performed with use of the high-temperature viscometer Anton Paar FRS 1 600. Viscosity was measured in a rotational mode during heating at the rate of 3,3 °C/min in the temperature interval from 1 673 to 1 873 K. Viscosity in the molten oxide system is determined by the internal structure. Exact clarification of the change of structure of the oxide system caused by the increased content of CaO was performed by Fourier transform infrared spectroscopy

Effect of CaO/ SiO2 ratio on viscosity and structure of slag

The objective of this work is experimental determination of temperature dependences of viscosity of the molten CaO – Al2O3 - SiO2 system and assessment of impact of CaO/SiO2 ratio on viscosity and structure of this system. Experimental measurements of viscosity were performed with use of the high-temperature viscometer Anton Paar FRS 1 600. Viscosity was measured in a rotational mode during heating at the rate of 3,3 °C/min in the temperature interval from 1 673 to 1 873 K. Viscosity in the molten oxide system is determined by the internal structure. Exact clarification of the change of structure of the oxide system caused by the increased content of CaO was performed by Fourier transform infrared spectroscopy

Entwicklung eines kompakten Detektionssystems für die laserinduzierte, wellenlängenaufgelöste Fluoreszenzdetektion

Die Kapillarelektrophorese ist eine leistungsfähige Analysenmethode. Aufgrund der hohen Anforderungen an die Detektion, ist die laserinduzierte Fluoreszenzdetektion dabei die empfindlichste optische Detektionsmethode. Bei der Weiterentwicklung von LIF-Systemen steht die Miniaturisierung im Vordergrund. Diese Systeme sollen dennoch möglichst leistungsstark sowie variabel sein und einen hohen Informationsgehalt über die Analyten bieten. Um die Vorteile der laserinduzierten, wellenlängenaufgelösten Fluoreszenzdetektion für den alltäglichen Gebrauch nutzbar zu machen, befasst sich diese Arbeit mit der Entwicklung eines kompletten Detektionssystems. Dabei wird die hohe Variabilität bezüglich der Einsatzmöglichkeiten als auch der Anregungswellenlänge gezeigt. Das Potential des neu entwickelten Detektionssystems wird sowohl mit kapillarelektrophoretischen als auch flüssigchromatographischen Methoden belegt