The Daughter's Career in Family Firms

In spite of the considerable importance of career issues in the field of family business gender studies, current literature shows a lack of attention to careers in family businesses. Due to this theoretical limitation, this chapter aims to investigate quantitatively the second generation's career in a sample of Italian family firms (N=297). Findings suggest that the careers of females and males show different characteristics. This chapter contributes to the limited research on daughter succession. Moreover, it provides a contribution to understanding the daughters' organizational and educational career in small and medium-sized family firms specifically, filling a gap in the current literature. Finally, this chapter prompts a reflection on the cultural/contextual aspects that impact upon entry into the company.

Towards prediction of ordered phases in rechargeable battery chemistry via group–subgroup transformation

The electrochemical thermodynamic and kinetic characteristics of rechargeable batteries are critically influenced by the ordering of mobile ions in electrodes or solid electrolytes. However, because of the experimental difficulty of capturing the lighter migration ion coupled with the theoretical limitation of searching for ordered phases in a constrained cell, predicting stable ordered phases involving cell transformations or at extremely dilute concentrations remains challenging. Here, a group-subgroup transformation method based on lattice transformation and Wyckoff-position splitting is employed to predict the ordered ground states. We reproduce the previously reported Li0.75CoO2, Li0.8333CoO2, and Li0.8571CoO2 phases and report a new Li0.875CoO2 ground state. Taking the advantage of Wyckoff-position splitting in reducing the number of configurations, we identify the stablest Li0.0625C6 dilute phase in Li-ion intercalated graphite. We also resolve the Li/La/vacancy ordering in Li3xLa2/3−xTiO3 (0 < x < 0.167), which explains the observed Li-ion diffusion anisotropy. These findings provide important insight towards understanding the rechargeable battery chemistry.

Non-line-of-sight imaging of moving objects obscured by a random corridor

Non-line-of-sight (NLOS) imaging makes it possible to reconstruct hidden objects around corners, which is of fundamental importance in various fields. Despite recent advances, NLOS imaging has not been studied in certain typical random scenarios, such as tortuous corridors filled with random media. We dub such a category of complex environment “random corridor”, and propose a reduced spatial- and ensemble-speckle intensity correlation (RSESIC) method to image a moving object obscured by a random corridor. Experimental results show that the method can reconstruct image of a centimeter-sized hidden object with a sub-millimeter resolution by a low-cost digital camera. The imaging capability depends on three system parameters and can be characterized by the correlation fidelity (CF). Furthermore, the RSESIC method is able to recover the image of objects even for a single pixel containing the contribution of about $10^2$ speckle grains, which overcomes the theoretical limitation of traditional speckle imaging methods. Last but not least, when the power attenuation of speckle intensity leads to the serious deterioration of CF, the image of hidden objects can still be reconstructed by the corrected intensity correlation.

Mechanical Proof of the Maxwell-Boltzmann Speed Distribution With Analytical Integration

The Maxwell-Boltzmann speed distribution is the probability distribution that describes the speeds of the particles of ideal gases. The Maxwell-Boltzmann speed distribution is valid for both un-mixed particles (one type of particle) and mixed particles (two types of particles). For mixed particles, both types of particles follow the Maxwell-Boltzmann speed distribution. Also, the most probable speed is inversely proportional to the square root of the mass. The Maxwell-Boltzmann speed distribution of mixed particles is based on kinetic theory; however, it has never been derived from a mechanical point of view. This paper proves the Maxwell-Boltzmann speed distribution and the speed ratio of mixed particles based on probability analysis and Newton&rsquo;s law of motion. This paper requires the probability&nbsp;density function (PDF) &psi;^ab(u_a; v_a, v_b)&nbsp;of the speed u_a&nbsp; of the particle with mass M_a&nbsp; after the collision of two particles with mass M_a&nbsp; in speed v_a&nbsp; and mass M_b&nbsp; in speed v_b . The PDF &psi;^ab(u_a; v_a, v_b)&nbsp; in integral form has been obtained before. This paper further performs the exact integration from the integral form to obtain the PDF &psi;^ab(u_a; v_a, v_b)&nbsp; in an evaluated form, which is used in the following equation to get new distribution P_new^a(u_a)&nbsp; from old distributions P_old^a(v_a) and P_old^b(v_b). When P_old^a(v_a) and P_old^b(v_b)&nbsp; are the Maxwell-Boltzmann speed distributions, the integration P_new^a(u_a)&nbsp; obtained analytically is exactly the Maxwell-Boltzmann speed distribution. P_new^a(u_a)=&int;_0^&infin; &int;_0^&infin; &psi;^ab(u_a;v_a,v_b) P_old^a(v_a) P_old^b(v_b) dv_a dv_b,&nbsp;&nbsp; &nbsp;a,b = 1 or 2 The mechanical proof of the Maxwell-Boltzmann speed distribution presented in this paper reveals the unsolved mechanical mystery of the Maxwell-Boltzmann speed distribution since it was proposed by Maxwell in 1860. Also, since the validation is carried out in an analytical approach, it proves that there is no theoretical limitation of mass ratio to the Maxwell-Boltzmann speed distribution. This provides a foundation and methodology for analyzing the interaction between particles with an extreme mass ratio, such as gases and neutrinos.

PRICING OPTIONS UNDER STOCHASTIC INTEREST RATE AND THE FRASCA–FARINA PROCESS: A SIMPLE, EXPLICIT FORMULA

Assuming a stochastic interest rate, we introduce a simple formula for pricing European options. In doing so, we provide a complete closed-form formula that does not require any numerical/computational methods. Furthermore, the model and formula are far simpler than the previous models/formulas. Our formula is as simple as the classical Black–Scholes pricing formula. Moreover, it removes the theoretical limitation of the original Black–Scholes model without any added practical complexity.

Crossover between the adiabatic and nonadiabatic electron transfer limits in the Landau-Zener model

The semiclassical models of nonadiabatic transition were proposed first by Landau and Zener in 1932, and have been widely used in the study of electron transfer (ET); however, experimental demonstration of the Landau-Zener formula remains challenging to observe. Herein, employing the Hush-Marcus theory, thermal ET in mixed-valence complexes {[Mo2]-(ph)n-[Mo2]}+ (n = 1–3) has been investigated, spanning the nonadiabatic throughout the adiabatic limit, by analysis of the intervalence transition absorbances. Evidently, the Landau-Zener formula is valid in the adiabatic regime in a broader range of conditions than the theoretical limitation known as the narrow avoided-crossing. The intermediate system is identified with an overall transition probability (κel) of ∼0.5, which is contributed by the single and the first multiple passage. This study shows that in the intermediate regime, the ET kinetic results derived from the adiabatic and nonadiabatic formalisms are nearly identical, in accordance with the Landau-Zener model. The obtained insights help to understand and control the ET processes in biological and chemical systems.

Dual Lithium Storage of Pt electrode: Alloying and Reversible Surface Layer

As the importance of additional capacity beyond the theoretical limitation of lithium-ion batteries has been recognized, extensive research into effectively utilizing the extra lithium accommodation is being conducted. One of...

Crossover between the Adiabatic and Nonadiabatic Limits of Thermal Electron Transfer: Verifying the Landau-Zener Formula

The semiclassical models of nonadiabatic transition were proposed first by Landau and Zener in 1932, which has been widely used in study of electron transfer (ET); however, experimental substantiation of the Landau-Zener formula remains challenging. Herein, employing the Marcus-Hush theory, thermal ET in mixed-valence complexes { [Mo2]-(ph)n-[Mo2] }+ (n = 1-3) is investigated and the Landau-Zener analysis performed in the adiabatic and nonadiabatic limits. Evidently, the Landau-Zener formula is valid in the adiabatic regime in a broader range of conditions than the theoretical limitation known as the narrow avoided-crossing. The intermediate system is identified with an overall transition probability (𝛋el) of ~ 0.5, which is resolved by the contributions from the single and the first multiple passage. The results unify the contemporary ET theories under the semiclassical framework. The obtained insights help to understand and control the ET processes in biological and chemical systems.

A Simple Strategy to Reduce the NDZ Caused by the Parallel Operation of DER-Inverters

In this work the harmonic injection active anti-islanding technique that has been recently proposed in reference Voglitsis et al. (2018) published in Trans. Power Electron. is generalized under the prospect of a high penetration level of distributed energy resource (DER) installations. Towards this direction, the theoretical limitation for the penetration level of such schemes is investigated and a firm theoretical background is presented that takes into account the installation parameters, as well as the penetration level at the installation common coupling point. Furthermore, a substantial feature which indicates the upgrade-ability of each installation is studied. Finally, extensive simulations and experiments verify the theoretical analysis.

The Daughter's Career in Family Firms

In spite of the considerable importance of career issues in the field of family business gender studies, current literature shows a lack of attention to careers in family businesses. Due to this theoretical limitation, this chapter aims to investigate quantitatively the second generation's career in a sample of Italian family firms (N=297). Findings suggest that the careers of females and males show different characteristics. This chapter contributes to the limited research on daughter succession. Moreover, it provides a contribution to understanding the daughters' organizational and educational career in small and medium-sized family firms specifically, filling a gap in the current literature. Finally, this chapter prompts a reflection on the cultural/contextual aspects that impact upon entry into the company.