Search results for "LIMIT"

showing 10 items of 2826 documents

Benchmark Thermochemistry of the Hydroperoxyl Radical

2004

A theoretical estimation of the enthalpy of formation for the hydroperoxyl radical is presented. These results are based on CCSD(T)/aug-cc-pCV5Z calculations extrapolated to the basis-set limit with additional corrections. Anharmonic vibrational zero-point energies, scalar relativistic, spin -orbit coupling, and diagonal BornOppenheimer corrections are further used to correct the extrapolated term energies, as well as various empirical corrections that account for correlation effects not treated at the CCSD(T) level. We estimate that ¢fH° ) 3.66 ( 0.10 kcal mol -1 (¢fH° ) 2.96 ( 0.10 kcal mol -1 ) using several reaction schemes. Significantly, it appears to be necessary to include effects o…

CouplingQuantitative Biology::BiomoleculesChemistryScalar (mathematics)AnharmonicityDiagonalchemistry.chemical_compoundHydroperoxylThermochemistryLimit (mathematics)Physics::Chemical PhysicsPhysical and Theoretical ChemistryAtomic physicsSpin-½The Journal of Physical Chemistry A
researchProduct

Problems of the Constitutionalism of the Legal Norms related to the Restrictions of the Spread of Covid-19 infection

2022

Plašās diskusijas Latvijas sabiedrībā par Covid-19 infekcijas slimības ietekmē pieņemtajiem ierobežojumiem, to nozīmi un izpratni, kā arī Satversmes tiesā iesniegto pieteikumu skaits un ierosinātās lietas par iespējamo ar Covid-19 infekcijas slimības izplatības ierobežojumiem saistīto tiesību normu neatbilstību Satversmei norāda uz šī temata nozīmīgumu, kā arī uz to, ka par tiesību normās ietvertajiem ierobežojumiem nolūkā mazināt vīrusa slimības izplatību nav vienprātīgas nostājas. Pētījuma mērķis ir noskaidrot ar Covid-19 infekcijas slimības izplatības ierobežojumiem saistīto tiesību normu satversmības problēmas. Dažādu tiesību institūtu izpratne normatīvajos aktos un tiesību realitātē va…

Covid 19 infectious disease spread restrictionskonstitucionālā sūdzībapamattiesību ierobežojumslimitation of a fundamental rightCovid 19 infekcijas slimības izplatības ierobežojumiJuridiskā zinātne
researchProduct

Multiplicity of fixed points and growth of ε-neighborhoods of orbits

2012

We study the relationship between the multiplicity of a fixed point of a function g, and the dependence on epsilon of the length of epsilon-neighborhood of any orbit of g, tending to the fixed point. The relationship between these two notions was discovered before (Elezovic, Zubrinic, Zupanovic) in the differentiable case, and related to the box dimension of the orbit. Here, we generalize these results to non-differentiable cases introducing a new notion of critical Minkowski order. We study the space of functions having a development in a Chebyshev scale and use multiplicity with respect to this space of functions. With the new definition, we recover the relationship between multiplicity o…

Critical Minkowski orderDynamical Systems (math.DS)Fixed pointsymbols.namesakeMinkowski spaceFOS: MathematicsCyclicityDifferentiable functionHomoclinic orbitlimit cycles; multiplicity; cyclicity; Chebyshev scale; Critical Minkowski order; box dimension; homoclinic loopMathematics - Dynamical SystemsAbelian groupPoincaré mapMathematicsBox dimensionApplied MathematicsMathematical analysisMultiplicity (mathematics)Limit cyclesMultiplicityPoincaré conjecturesymbols37G15 34C05 28A75 34C10Homoclinic loopAnalysisChebyshev scaleJournal of Differential Equations
researchProduct

Non-accumulation of critical points of the Poincaré time on hyperbolic polycycles

2007

We call Poincare time the time associated to the Poincar6 (or first return) map of a vector field. In this paper we prove the non-accumulation of isolated critical points of the Poincare time T on hyperbolic polycycles of polynomial vector fields. The result is obtained by proving that the Poincare time of a hyperbolic polycycle either has an unbounded principal part or is an almost regular function. The result relies heavily on the proof of Il'yashenko's theorem on non-accumulation of limit cycles on hyperbolic polycycles.

Critical period; finiteness; non-accumulation; quasi-analyticity; Dulac problem.Applied MathematicsGeneral MathematicsLimit cycleMathematical analysisHyperbolic manifoldPrincipal partUltraparallel theoremVector fieldRelatively hyperbolic groupCritical point (mathematics)Hyperbolic equilibrium pointMathematicsProceedings of the American Mathematical Society
researchProduct

"Table 3" of "Search for pairs of highly collimated photon-jets in $pp$ collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector"

2018

The observed upper limits on the production cross-section times the product of branching ratios for the benchmark signal scenario involving a scalar particle $X$ with narrow width decaying via $X\rightarrow aa\rightarrow 4\gamma$, $\sigma_X\times B(X\rightarrow aa)\times B(a\rightarrow\gamma\gamma)^2$. The limits for $m_{a}$ = 5 GeV and 10 GeV do not cover as large a range as the other mass points, since the region of interest is limited to $ m_{a} < 0.01 \times m_{X}$.

Cross-section$pp\rightarrow X \rightarrow aa \rightarrow 4\gamma$Observed limit13000Photon-jet
researchProduct

"Table 6" of "Search for pairs of highly collimated photon-jets in $pp$ collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector"

2018

The expected upper limits on the production cross-section times the product of branching ratios for the benchmark signal scenario involving a scalar particle $X$ with narrow width decaying via $X\rightarrow aa\rightarrow 6\pi^0$, $\sigma_X\times B(X\rightarrow aa)\times B(a\rightarrow 3\pi^0)^2$. The limits for $m_{a}$ = 5 GeV and 10 GeV do not cover as large a range as the other mass points, since the region of interest is limited to $ m_{a} < 0.01 \times m_{X}$. Additionally, the expected limits are not provided for a small number of points, indicated with a hyphen, because of a technical failure with the computation.

Cross-section$pp\rightarrow X \rightarrow aa \rightarrow 6\pi^0$Expected limit13000Photon-jet
researchProduct

"Table 5" of "Search for pairs of highly collimated photon-jets in $pp$ collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector"

2018

The observed upper limits on the production cross-section times the product of branching ratios for the benchmark signal scenario involving a scalar particle $X$ with narrow width decaying via $X\rightarrow aa\rightarrow 6\pi^0$, $\sigma_X\times B(X\rightarrow aa)\times B(a\rightarrow 3\pi^0)^2$. The limits for $m_{a}$ = 5 GeV and 10 GeV do not cover as large a range as the other mass points, since the region of interest is limited to $ m_{a} < 0.01 \times m_{X}$.

Cross-section$pp\rightarrow X \rightarrow aa \rightarrow 6\pi^0$Observed limit13000Photon-jet
researchProduct

"Table 4" of "Search for pairs of highly collimated photon-jets in $pp$ collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector"

2018

The expected upper limits on the production cross-section times the product of branching ratios for the benchmark signal scenario involving a scalar particle $X$ with narrow width decaying via $X\rightarrow aa\rightarrow 4\gamma$, $\sigma_X\times B(X\rightarrow aa)\times B(a\rightarrow\gamma\gamma)^2$. The limits for $m_{a}$ = 5 GeV and 10 GeV do not cover as large a range as the other mass points, since the region of interest is limited to $ m_{a} < 0.01 \times m_{X}$. Additionally, the expected limits are not provided for a small number of points, indicated with a hyphen, because of a technical failure with the computation.

Cross-sectionExpected limit$pp\rightarrow X \rightarrow aa \rightarrow 4\gamma$13000Photon-jet
researchProduct

"Table 7" of "Search for pairs of highly collimated photon-jets in $pp$ collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector"

2018

Observed 95% CL upper limits on the visible cross section as a function of $m_X$ and the fraction of events in the low-$\Delta E$ category.

Cross-sectionModel-independent limit13000Photon-jet
researchProduct

Preparation and Investigation of BaSO4KMnO4 Crystals

1969

BaSO4 crystals containing KMnO4 prepared by precipitation were investigated morphologically, chemically and by X-ray diffraction. The colour of the preparations is homogeneous and stable. The colour intensity and also the amount of dissolved KMnO4 (maximum approx. 30 Mol%) increases with concentration of KMnO4 in the reaction solution to a limiting value dependent on the temperature. The lattice constants or the unit cell volume of the BaSO4–KMnO4 crystals increase with the proportion of KMnO4. The experimental values agree well with the Vegard rule for preparations up to 18 Mol% KMnO4, but with higher proportions significant departures were observed. They may easily be explained by adsorpt…

CrystallographyLattice constantMixed crystalHomogeneousChemistryCell volumePolymer chemistryGeneral Materials ScienceGeneral ChemistryLimitingCondensed Matter PhysicsKristall und Technik
researchProduct