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"Deviation"
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Newly observed prismatic Mg2Sn laths in a MgaSnaZnaMn alloy
Lath-shaped Mg2Sn precipitates with their habit planes parallel to the prismatic planes of the Mg matrix are characterized in a MgaSnaZnaMn alloy. The orientation relationships (ORs) between these I2-Mg2Sn precipitates and I--Mg matrix are [0 1 1]I2//[0 1 a1 0]I- and (0 1 a1)I2 deviating 0.36ADG to 1.20ADG from (0 0 0 1)I-, in which the deviation angle of 0.39ADG is most frequently observed. Although the ORs vary, the laths always exhibit four side facets bearing fixed relationships with g vectors in reciprocal space. Their major side facets incline to the basal plane of Mg matrix from 4.3ADG to 14.3ADG.
Journal Article
Deviations’ analysis of the single-family buildings in the mining area
In this work changes of the inclinations values (in a horizontal plane) of a land surface and two buildings have been shown. They were induced by an operation of the 404 and the 405 coal beds located successively on the level of 490 m and 550 m, and realized on a south of the buildings (the South of Poland) by the use of five longwalls. Values of inclinations from the results of the geodesic measurements done in August 2019 have been determined. Subsidence and distances between neighbouring points (on a land surface and on the buildings’ walls) have been observed. Observations in two perpendicular directions, on 24 points (12 ground points and 12 wall points) have been conducted. Research results indicate that deviations are different for a ground and the buildings. It means that a process of deformation of the buildings and a terrain surface takes place differently. Moreover, the ground steps which occurred near the buildings (one in front of the first building, the other under the second building) cause anomalies in the inclinations values and changes in their directions and turns.
Journal Article
Study on the Calculation of Hole/Pin Floating Deviation for “Two Pins on One Side”
“Two pins on one side” is a common clamping method in industrial production, but due to the presence of hole/pin clearance, mounting features on the part are often misaligned due to hole/pin float. To ensure the subsequent assembly of the part, the amount of deviation of the hole/pin float must be calculated to quantify the effective mounting space of the mounting feature. In this study, based on the hole/pin float model, the maximum deviations of 0.0368 mm, 0.0545 mm, 0.0520 mm, and 0.0786 mm were calculated for hole/pin float based on automotive sheet metal parts. The study of the amount of deviation of hole/pin floating is carried out to give a solution to the problem of fixture design in engineering practice.
Journal Article
Sharp Large Deviation for the Energy of α-Brownian Bridge
We study the sharp large deviation for the energy of α-Brownian bridge. The full expansion of the tail probability for energy is obtained by the change of measure.
Journal Article
Constraints on Interacting Dark Energy Models from the DESI Baryon Acoustic Oscillation and DES Supernovae Data
The recent results from the first-year baryon acoustic oscillations (BAO) data released by the Dark Energy Spectroscopic Instrument (DESI), combined with cosmic microwave background (CMB) and Type Ia supernova (SN) data, have shown a detection of significant deviation from a cosmological constant for dark energy. In this work, we utilize the latest DESI BAO data in combination with the SN data from the full 5 yr observations of the Dark Energy Survey and the CMB data from the Planck satellite to explore potential interactions between dark energy and dark matter. We consider four typical forms of the interaction term Q. Our findings suggest that interacting dark energy (IDE) models with Q ∝ ρ de support the presence of an interaction where dark energy decays into dark matter. Specifically, the deviation from ΛCDM for the IDE model with Q = β H 0 ρ de reaches the 3σ level. These models yield a lower value of Akaike information criterion than the ΛCDM model, indicating a preference for these IDE models based on the current observational data. For IDE models with Q ∝ ρ c, the existence of interaction depends on the form of the proportionality coefficient Γ. The IDE model with Q = β H ρ c yields β = 0.0003 ± 0.0011, which essentially does not support the presence of the interaction. In general, whether the observational data support the existence of interaction is closely related to the model. Our analysis helps to elucidate which type of IDE model can better explain the current observational data.
Journal Article
The Extended Large Deviation Principle for the Trajectories of a Compound Renewal Process
We study a homogeneous compound renewal process (c.r.p.)
. It is assumed that the elements of the sequence that rules the process satisfy Cramér’s moment condition
. We consider the family of processes
where
as
. Conditions are proposed under which the extended large deviation principle holds for the trajectories
in the space
of functions with bounded variation, endowed with Borovkov’s metric. If the trajectories of the process
are monotone with probability 1 then, under the same condition, we prove the classical trajectory large deviation principle.
Journal Article
Something in the Air
We find that daily air pollution levels have a significant effect on the decision to purchase or cancel health insurance in a manner inconsistent with rational choice theory. A one standard deviation increase in daily air pollution leads to a 7.2% increase in the number of insurance contracts sold that day. Conditional on purchase, a one standard deviation decrease in air pollution during the cooling-off (i.e. cost-free cancellation) period relative to the order-date level increases the return probability by 4.0%. We explore a range of potential mechanism and find the most support for projection bias and salience.
Journal Article
Precise Deviations for Branches of the Random Binary Tree in the Horton–Strahler Analysis
In this paper, we study the precise deviations for the number of branches of a random binary tree in the context of Horton–Strahler analysis. We establish precise large deviations, precise moderate deviations, and Cramér-type moderate deviations for the number of branches of the random binary tree. As a consequence of the Cramér-type moderate deviations, a Berry–Esseen bound is derived. The derivations of these results rely heavily on asymptotic analysis of certain discrete summations.
Journal Article
Picture hesitant fuzzy distance measures and its decision applications
The key role of picture hesitant fuzzy in multi-attribute decision-making is to offer both more detailed and precise decision information. However, the current research on picture hesitant fuzzy distance measures is not perfect, so additional research on this matter is essential. In this paper, we take into account the hesitancy and hesitancy deviation and develop a new distance measure based on hesitancy deviation. Furthermore, we present a new TOPSIS method and apply it to an example. Finally, a parameter sensitivity analysis was performed to verify the stability of the proposed new distance measure.
Journal Article