Multiple Properties Research Articles

Effect of the position of Mg replacing Ni on O3-NaNi1/3Fe1/3Mn1/3O2 on the structural stability of cathode materials

O3-NaNi1/3Fe1/3Mn1/3O2 (NaNFM) materials are susceptible to complex phase transitions during electrical cycling leading to poor structural, capacity retention and multiplicity properties. These drawbacks hinder the application of NaNFM in sodium-ion batteries. Here, Mg2+ with larger ionic radius was used to dope its transition metal layer Ni site. The effects of Mg2+ doped NaNFM crystal structure and transition metal valence states on its electrochemical properties were investigated by XRD, SEM, and XPS. The capacity retention of NaNMFM-0.02 (84.05 %) was higher than that of NaNFM (73 %) after 200 cycles of the material at 5C. In addition, NaNMFM-0.02 achieved a first discharge specific capacity of 146.5 mAh/g at high voltage. Based on structural and electrochemical analyses, this improvement is attributed to the fact that magnesium acts as a “pillar” to stabilize the crystal structure of NaNFM, while magnesium doping reduces the Jahn-Teller effect. As a result, the material has better electrochemical properties.

Biothermodynamic analysis of the Dengue virus: Empirical formulas, biosynthesis reactions and thermodynamic properties of antigen-receptor binding and biosynthesis

After the experience with the COVID-19 pandemic, WHO has issued a warning about the possible causes of future pandemics. One such causative agent is the Dengue virus. Until now, we have had information mostly on biological properties of the Dengue virus and very little information about its chemical and thermodynamic properties. To be better prepared for a potential Dengue pandemic, the goal of this paper is to chemically and thermodynamically characterize the Dengue virus, as well as to describe the biophysical basis of the virus-host interactions of the Dengue virus. To that goal, the empirical formula was determined, as well as biosynthesis reactions and thermodynamic properties of antigen-receptor binding and thermodynamic properties of biosynthesis and multiplication of the Dengue virus. A model was developed of virus-host interactions between the Dengue virus and its host tissues, based on nonequilibrium thermodynamics.

Multiplicity and Concentration Properties for Fractional Choquard Equations with Exponential Growth

Multiplicity and Concentration Properties for Fractional Choquard Equations with Exponential Growth

Some Results Concerning Directed Graphs Over Commutative Rings

This paper delves into the idea of a directed graph that presented and illustrated, A directed graph for every finite, commutative ring is presented in this paper by utilizing the additive and multiplicative properties. This is achieved based on the mapping (a, b) → (a + b, a • b). The essential objective of this research work is to examine the characteristics of these directed graphs, specifically the valuable information they offer about the ring itself. To this end, we have adopted and presented several theorems and Corollaries with their proofs to support the obtained results

On Non-Commutative Multi-Rings with Involution

The primary motivation for this work is to develop the concept of Marshall’s quotient applicable to non-commutative multi-rings endowed with involution, expanding upon the main ideas of the classical case—commutative and without involution—presented in Marshall’s seminal paper. We define two multiplicative properties to address the involutive case and characterize their Marshall quotient. Moreover, this article presents various cases demonstrating that the “multi” version of rings with involution offers many examples, applications, and relatives in (multi)algebraic structures. Therefore, we established the first steps toward the development of an expansion of real algebra and real algebraic geometry to a non-commutative and involutive setting.

A characterization method for reprocessed spent nuclear fuel through neutron and gamma-ray multiplicity counting

It is difficult to measure neutrons and gamma rays coming directly from uranium and plutonium atoms in pyroprocessed ingot, which is of great interest to nuclear safeguards. Most neutrons of the ingot are emitted from 244Cm isotope and gamma rays from its fission products. Therefore, it is necessary to identify spent fuel characteristics such as initial enrichment, burnup and cooling time from measurement and estimate plutonium mass from calibration curve or burnup calculations.In this study, we explored the possibility of characterizing pyroprocessed ingots using neutron and gamma-ray multiplicity counting. We particularly focused on finding the possible correlation between neutron and gamma-ray multiplicity properties (singles, doubles, and triples) and spent fuel properties for U/TRU/RE preprocessed ingot. We examined neutron and gamma-ray correlation for spent fuel, using the Cascading Gamma-ray Multiplicity with Fission (CGMF) and the Fission Reaction Event Yield Algorithm (FREYA) library in MCNP6.2. Due to high spontaneous fission rate, neutron and gamma-ray multiplicity parameters did not strongly correlate with multiplication factor from the point model but was proportional to 244Cm mass. The results based on the CGMF and FREYA fission library showed the similar trends for neutron and gamma-ray cases. The sum of two multiplicity data yielded best linearity with the 244Cm effective mass. Although total neutron counting (S) alone was sufficient for effectively characterizing spent fuel due to its strong linearity, this feasibility study confirmed that, in principle, it will be more effective to calculate the sum of neutron and gamma-ray multiplicity properties to directly estimate the mass of 244Cm, rather than relying on the conventional method of calculating the multiplication factor.

On the Multiplicative Property of Indicial Polynomials

On the Multiplicative Property of Indicial Polynomials

The sign of bistable wave speed for a plankton model

The sign of the speed of bistable traveling wave solution is an important focus in the field of population dynamics, since it can be used to predict which species will win the competition and ultimately survive. In this paper, the sign of bistable wave speed of a plankton model with cubic nonlinearity is studied. By a delicate analysis, a sufficient condition for bistable wave to be stationary is first obtained. Symmetric and multiplication properties for stationary bistable wave are established. By upper-lower solution method and comparison principle, two sufficient conditions are found so that the bistable wave speed is negative or positive. Moreover, numerical simulations are performed to illustrate our theoretic conclusions.

Wick multiplication and its relationship with integration and stochastic differentiation on spaces of nonregular test functions in the Lévy white noise analysis

We deal with spaces of nonregular test functions in the Lévy white noise analysis, which are constructed using Lytvynov's generalization of a chaotic representation property. Our goal is to study properties of a natural multiplication $-$ a Wick multiplication on these spaces, and to describe the relationship of this multiplication with integration and stochastic differentiation. More exactly, we establish that the Wick product of nonregular test functions is a nonregular test function; show that when employing the Wick multiplication, it is possible to take a time-independent multiplier out of the sign of a generalized stochastic integral; establish an analog of this result for a Pettis integral (a weak integral); obtain a representation of the generalized stochastic integral via formal Pettis integral from the Wick product of the original integrand by a Lévy white noise; and prove that the operator of stochastic differentiation of first order on the spaces of nonregular test functions satisfies the Leibnitz rule with respect to the Wick multiplication.

Unpacking the challenges and predictors of elementary–middle school students’ use of the distributive property

The distributive property plays a pivotal role in advancing students’ understanding of multiplication, enabling the decomposition of problems and the acquisition of new facts. However, this property of multiplication is difficult for students to understand. We used two unique data sets to explore middle school students’ use of the distributive property. Study 1 involved data from 1:1 structured interviews of students (N = 24) discussing worked examples and solving associated practice problems. We examined whether or not students used the distributive property to solve the problems and whether or not interviewers followed the recommended distributive property prompts or defaulted to more conventional methods. Despite exposure to worked examples using the distributive property and a protocol calling for attention to it, students and interviewers favored methods like PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) or long multiplication. Study 2 used a data set with middle school students’ (N = 131) item-level responses on Kirkland’s (2022; doctoral dissertation, University of Notre Dame) Brief Assessment of Mature Number Sense along with several related measures of domain-general and domain-specific skills. We extracted problems involving the distributive property for analysis. Surprisingly, there was no evidence that students’ use of the distributive property improved from sixth grade to eighth grade. However, both grade-level mathematics achievement and cognitive reflection uniquely predicted the correct use of the distributive property. Results suggest that middle school students who exhibit stronger reflective thinking tend to perform better on distributive property problems. Findings highlight cognitive reflection as a potentially important construct involved in the understanding and use of the distributive property.

Prism: Privacy-Preserving and Verifiable Set Computation Over Multi-Owner Secret Shared Outsourced Databases

Private set computation over multi-owner databases is an important problem with many applications — the most well studied of which is private set intersection (PSI). This paper proposes <sc xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Prism</small> , a secret-sharing based approach to compute private set operations ( <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">i.e.</i> , intersection and union, as well as aggregates such as count, sum, average, maximum, minimum, and median) over outsourced databases belonging to multiple owners. <sc xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Prism</small> enables data owners to pre-load the data onto non-colluding servers and exploits the additive and multiplicative properties of secret-shares to compute the above-listed operations. <sc xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Prism</small> takes (at most) two rounds of communication between non-colluding servers (storing the secret-shares) and the querier for executing the above-mentioned operations, resulting in a very efficient implementation. <sc xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Prism</small> also supports result verification techniques for each operation to detect malicious adversaries. Experimental results show that <sc xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Prism</small> scales both in terms of the number of data owners and database sizes, to which prior approaches do not scale.

Multiplicity and concentration properties of solutions for double-phase problem in fractional modular spaces

Multiplicity and concentration properties of solutions for double-phase problem in fractional modular spaces

Connecting student development of use of grouping and mathematical properties

Understanding algebraic properties is a key component of building mathematical thinking across grades K-8, yet less is known about the development of students' use of mathematical properties within their strategies. This article presents results from four conversations with 24 5th-grade students over a school year, that focus on examining the development of students grouping within strategies for multiplication and division problems. Findings add to previous research on student strategies within multiplication and division by detailing some of the nuances in students' use of grouping. Additionally, a focus on student strategies reveals students' progression in more explicit use of grouping underlies the development of more planful use of the distributive and associative properties of multiplication.

Singular limit of periodic metric grids

We investigate the asymptotic behavior of nonlinear Schrödinger ground states on d-dimensional periodic metric grids in the limit for the length of the edges going to zero. We prove that suitable piecewise–affine extensions of such states converge strongly in H1(Rd) to the corresponding ground states on Rd. As an application of such convergence results, qualitative properties of ground states and multiplicity results for fixed mass critical points of the energy on grids are derived. Moreover, we compare optimal constants in d-dimensional Gagliardo–Nirenberg inequalities on Rd and on grids. For L2-critical and supercritical powers, we show that the value of such constants on grids is strictly related to that on Rd but, contrary to Rd, constants on grids are not attained. The proofs of these results combine purely variational arguments with new Gagliardo–Nirenberg inequalities on grids.

Correlation Between miR-497-5p Expression With Clinicopathological Characteristics and Prognosis in Patients With Breast Cancer.

Breast cancer (BC) comprises multiple biological and histologic properties. MicroRNAs show key functions in cancer prognosis. This paper explored the relationship between miR-497-5p with clinicopathological characteristics and prognosis in BC. Cancer tissues and normal adjacent tissues (NATs) were collected from 140 included patients with BC. The clinical baseline data, including age, tumor size, pathologic grade, clinical stage, modified Scraff-Bloom-Richardson grade, and lymph node metastasis, were recorded. miR-497-5p expression in cancer tissues and NAT was determined by reverse transcription-quantitative polymerase chain reaction. Patients with BC were followed up for 5 years to record their survival. Patients were divided into the miR-497-5p low expression and high expression groups to assess the correlation between miR-497-5p expression with clinicopathological characteristics and overall survival of patients. The role of miR-497-5p as an independent risk factor for death was further analyzed by a multivariate Cox regression model. miR-497-5p was downregulated in BC tissues than NAT. Tumor size, clinical stage, and lymph node metastasis showed significant differences among patients with high and low miR-497-5p expression levels. Patients with BC with low miR-497-5p expression presented decreased survival. Lowly-expressed miR-497-5p was an independent risk factor for death in patients. Collectively, cancer tissue miR-497-5p low expression increases the risk of death and serves as an independent risk factor for death in patients with BC.

Ergodic properties of multiplication and weighted composition operators on spaces of holomorphic functions

AbstractWe obtain different results about the mean ergodicity of weighted composition operators when acting on the spaces , , and , where is the open unit ball of a Banach space, as well as about the compactness and the mean ergodicity of the multiplication operator. This study relates these properties of the operators with properties of the symbol and the weight defining such operators.

Chromo-Fluorogenic Rhodamine-Based Amphiphilic Probe as a Selective and Sensitive Sensor for Intracellular Cu(I) in Living Cells.

Fluorescent probes are widely studied for metal ion detection because of their multiple favorable properties such as high sensitivity and selectivity, quick response, naked eye detection, and in situ monitoring. However, optical probes that can effectively detect the Cu(I) level in cell interiors are rare due to the difficulty associated with selectively and sensitively detecting this metal ion in a cell environment. Therefore, we designed and synthesized three water-soluble probes (1-3) with a 1,3,5-triazine core decorated by three substituents: a hydrophobic alkyl chain, a hydrophilic maltose, and a rhodamine B hydrazine fluorophore. Among the probes, probe 1, which has an octyl chain and a branched maltose group, was the most effective at sensing Cu+ in aqueous solution. Upon addition of Cu+, this probe showed a dramatic color change from colorless to pink in daylight and displayed an intense yellow fluorescence emission under 365 nm light. The limit of detection and dissociation constant (Kd) of this probe were 20 nM and 1.1 × 10-12 M, respectively, which are the lowest values reported to date. The two metal ion-binding sites and the aggregation-induced emission enhancement effect, endowed by the branched maltose group and the octyl chain, respectively, are responsible for the high sensitivity and selectivity of this probe for Cu+ detection, as demonstrated by 1H NMR, dynamic light scattering, and transmission electron microscopy studies. Furthermore, the probe successfully differentiated the Cu(I) level of cancer cells from that of the normal cells. Thus, the probe holds potential for real-time monitoring of Cu(I) level in biological samples and bioimaging of cancer cells.

A new 2D Janus family with multiple properties: auxetic behavior, straintunable photocatalyst, high Curie temperature ferromagnets, and piezoelectric quantum anomalous Hall insulator

A new 2D Janus family with multiple properties: auxetic behavior, straintunable photocatalyst, high Curie temperature ferromagnets, and piezoelectric quantum anomalous Hall insulator

Aftereffects, High-Levelism and Gestalt Properties

AbstractAccording to high-levelism, one can perceptually be aware of high-level properties such as natural kind properties. Against high-levelism, the Gestalt proposal suggests that instead of high-level properties, one can have a perceptual experience as of Gestalt properties, i.e., determinables of determinate low-level properties. When one looks at a bird, the high-levelist argues that one can perceive the property of being a bird, and the proponent of the Gestalt proposal argues that one first perceives the property of having the bird Gestalt (shared by all and only birds) and only post-perceptually recognizes that it is a bird. In the present study, to resolve the dispute between high-levelism and the Gestalt proposal, I aim to test their abilities to explain the attribution of multiple perceptible properties to the same object by making use of various empirical studies on high-level aftereffects. I conclude that the Gestalt proposal fails the test and hence shall not be a viable alternative to high-levelism.

Nitrogen-doped graphene-decorated FeSex-Sb2Se3/C nanofibers as advanced anode materials for potassium ion batteries

Low operating voltage, high theoretical capacity conversion alloyed anodes ideal for potassium ion anodes. However, how to address the structural deformation and volume expansion of the changed alloyed materials throughout the reaction process is a crucial topic. A novel nitrogen-doped graphene-decorated FeSex-Sb2Se3/C nanofibers (FeSbSe-NGCNFs) composite is synthesized by adding dicyandiamide (DCDA) during electrospinning. Benefiting from porous one-dimensional nanostructure, graphene-decoration and rich nitrogen doping, the best electrochemical performance is shown by FeSbSe-NGCNFs when used as an anode in PIBs. FeSbSe-NGCNFs provide a reversible discharge specific capacity of 279.9 mAh/g at 100 mA g−1 after 100 cycles with a capacity retention of 87.6 %, in addition to a high capacity of 169.9 mAh/g at a high current of 3000 mA g−1. After 1000 cycles, the composite retained 115.8 mAh/g of capacity at 1000 mA g−1. The main causes of these exceptional cycling multiplicity properties are the porous structure that produces more carbon defects and active sites, increasing the amount of storage capacity for K+ and speeding up K+ transport and electron transfer, as well as the graphene nanosheet structure that enhances electrical conductivity and increases its specific surface area. Therefore, PIBs might benefit from the developed FeSbSe-NGCNFs as anode material.