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Winner of the 2010 Pacific Sociological Association Distinguished Contribution to Scholarship AwardA lesbian couple rears a child together and, after the biological mother dies, the surviving partner loses custody to the child’s estranged biological father. Four days later, in a different court, judges rule on the side of the partner, because they feel the child relied on the woman as a “psychological parent.” What accounts for this inconsistency regarding gay and lesbian adoption and custody cases, and why has family law failed to address them in a comprehensive manner?In Courting Change, Kimberly D. Richman zeros in on the nebulous realm of family law, one of the most indeterminate and discretionary areas of American law. She focuses on judicial decisions—both the outcomes and the rationales—and what they say about family, rights, sexual orientation, and who qualifies as a parent. Richman challenges prevailing notions that gay and lesbian parents and families are hurt by laws’ indeterminacy, arguing that, because family law is so loosely defined, it allows for the flexibility needed to respond to—and even facilitate — changes in how we conceive of family, parenting, and the role of sexual orientation in family law.Drawing on every recorded judicial decision in gay and lesbian adoption and custody cases over the last fifty years, and on interviews with parents, lawyers, and judges, Richman demonstrates how parental and sexual identities are formed and interpreted in law, and how gay and lesbian parents can harness indeterminacy to transform family law.

Gay parents --- Homosexual parents --- Parents --- Legal status, laws, etc. --- American. --- Kimberly. --- Richman. --- areas. --- discretionary. --- family. --- indeterminate. --- law. --- most. --- nebulous. --- realm. --- zeros.

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Although scientific computing is very often associated with numeric computations, the use of computer algebra methods in scientific computing has obtained considerable attention in the last two decades. Computer algebra methods are especially suitable for parametric analysis of the key properties of systems arising in scientific computing. The expression-based computational answers generally provided by these methods are very appealing as they directly relate properties to parameters and speed up testing and tuning of mathematical models through all their possible behaviors. This book contains 8 original research articles dealing with a broad range of topics, ranging from algorithms, data structures, and implementation techniques for high-performance sparse multivariate polynomial arithmetic over the integers and rational numbers over methods for certifying the isolated zeros of polynomial systems to computer algebra problems in quantum computing.

superposition --- SU(2) --- pseudo-remainder --- interval methods --- sparse polynomials --- element order --- Henneberg-type minimal surface --- timelike axis --- combinatorial decompositions --- sparse data structures --- mutually unbiased bases --- invariant surfaces --- projective special unitary group --- Minkowski 4-space --- free resolutions --- Dini-type helicoidal hypersurface --- linearity --- integrability --- Galois rings --- minimum point --- entanglement --- degree --- pseudo-division --- computational algebra --- polynomial arithmetic --- projective special linear group --- normal form --- Galois fields --- Gauss map --- implicit equation --- number of elements of the same order --- Weierstrass representation --- Lotka–Volterra system --- isolated zeros --- polynomial modules --- over-determined polynomial system --- simple Kn-group --- sum of squares --- four-dimensional space

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With the rapid evolution of the wireless communications, fifth-generation (5G) communication has received much attention from both academia and industry, with many reported efforts and research outputs and significant improvements in different aspects, such as data rate speed and resolution, mobility, latency, etc. In some countries, the commercialization of 5G communication has already started as well as initial research of beyond technologies such as 6G.MIMO technology with multiple antennas is a promising technology to obtain the requirements of 5G/6G communications. It can significantly enhance the system capacity and resist multipath fading, and has become a hot spot in the field of wireless communications. This technology is a key component and probably the most established to truly reach the promised transfer data rates of future communication systems. In MIMO systems, multiple antennas are deployed at both the transmitter and receiver sides. The greater number of antennas can make the system more resistant to intentional jamming and interference. Massive MIMO with an especially high number of antennas can reduce energy consumption by targeting signals to individual users utilizing beamforming.Apart from sub-6 GHz frequency bands, 5G/6G devices are also expected to cover millimeter-wave (mmWave) and terahertz (THz) spectra. However, moving to higher bands will bring new challenges and will certainly require careful consideration of the antenna design for smart devices. Compact antennas arranged as conformal, planar, and linear arrays can be employed at different portions of base stations and user equipment to form phased arrays with high gain and directional radiation beams. The objective of this Special Issue is to cover all aspects of antenna designs used in existing or future wireless communication systems. The aim is to highlight recent advances, current trends, and possible future developments of 5G/6G antennas.

double-fed slot antenna --- MIMO system --- mobile terminals --- polarization diversity --- UWB technology --- 5G --- future handsets --- modified PIFA --- multi-antenna system --- multi-band operation --- MIMO --- 5G mobile handsets --- dual-band antenna --- microstrip patch antenna --- millimeter-wave --- high gain --- transmitarray (TA) antenna --- metasurface (MS) --- PSO --- side-lobe level (SLL) reduction --- lens antenna --- negative refractive index --- multibeam --- beam scanning --- beyond-5G --- 6G --- interference alignment --- K-User MIMO --- OFDM --- wideband antenna --- MIMO antenna --- four-port wideband antenna --- substrate integrated waveguide (SIW) --- transmission zeros (TZs) --- metallic via --- coupling topology --- antenna array --- antenna measurements --- beam pattern --- beam steering --- equivalent circuit modelling --- transmitarray --- chirality --- dielectric resonator antennas --- metasurfaces --- antipodal Vivaldi antenna (AVA) --- millimeter wave --- compact --- 5G applications --- corrugations --- reconfigurable antennas --- reconfigurable parasitic layers --- antenna optimization --- antenna design --- nonlinear characterization --- behavioral modelling --- x-parameters --- PIN diode --- dielectric resonator antenna --- aperture coupled --- 26 GHz --- small cell --- active metamaterial antenna --- continuous tuning --- resonance blindness --- EM co-simulation --- nonlinear property --- phased array --- massive MIMO --- wideband array --- triangular grid --- n/a

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It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.

dynamic equations --- time scales --- classification --- existence --- necessary and sufficient conditions --- fractional calculus --- triangular fuzzy number --- double-parametric form --- FRDTM --- fractional dynamical model of marriage --- approximate controllability --- degenerate evolution equation --- fractional Caputo derivative --- sectorial operator --- fractional symmetric Hahn integral --- fractional symmetric Hahn difference operator --- Arrhenius activation energy --- rotating disk --- Darcy–Forchheimer flow --- binary chemical reaction --- nanoparticles --- numerical solution --- fractional differential equations --- two-dimensional wavelets --- finite differences --- fractional diffusion-wave equation --- fractional derivative --- ill-posed problem --- Tikhonov regularization method --- non-linear differential equation --- cubic B-spline --- central finite difference approximations --- absolute errors --- second order differential equations --- mild solution --- non-instantaneous impulses --- Kuratowski measure of noncompactness --- Darbo fixed point --- multi-stage method --- multi-step method --- Runge–Kutta method --- backward difference formula --- stiff system --- numerical solutions --- Riemann-Liouville fractional integral --- Caputo fractional derivative --- fractional Taylor vector --- kerosene oil-based fluid --- stagnation point --- carbon nanotubes --- variable thicker surface --- thermal radiation --- differential equations --- symmetric identities --- degenerate Hermite polynomials --- complex zeros --- oscillation --- third order --- mixed neutral differential equations --- powers of stochastic Gompertz diffusion models --- powers of stochastic lognormal diffusion models --- estimation in diffusion process --- stationary distribution and ergodicity --- trend function --- application to simulated data --- n-th order linear differential equation --- two-point boundary value problem --- Green function --- linear differential equation --- exponential stability --- linear output feedback --- stabilization --- uncertain system --- nonlocal effects --- linear control system --- Hilbert space --- state feedback control --- exact controllability --- upper Bohl exponent

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Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences.

infinite-point boundary conditions --- nonlinear boundary value problems --- q-polynomials --- ?-generalized Hurwitz–Lerch zeta functions --- Hadamard product --- password --- summation formulas --- Hankel determinant --- multi-strip --- Euler numbers and polynomials --- natural transform --- fuzzy volterra integro-differential equations --- zeros --- fuzzy differential equations --- Szász operator --- q)-Bleimann–Butzer–Hahn operators --- distortion theorems --- analytic function --- generating relations --- differential operator --- pseudo-Chebyshev polynomials --- Chebyshev polynomials --- Mellin transform --- uniformly convex functions --- operational methods --- differential equation --- ?-convex function --- Fourier transform --- q)-analogue of tangent zeta function --- q -Hermite–Genocchi polynomials --- Dunkl analogue --- derivative properties --- q)-Euler numbers and polynomials of higher order --- exact solutions --- encryption --- spectrum symmetry --- advanced and deviated arguments --- PBKDF --- wavelet transform of generalized functions --- fuzzy general linear method --- Lommel functions --- highly oscillatory Bessel kernel --- generalized mittag-leffler function --- audio features --- the uniqueness of the solution --- analytic --- Mittag–Leffler functions --- Dziok–Srivastava operator --- Bell numbers --- rate of approximation --- Bessel kernel --- univalent functions --- inclusion relationships --- Liouville–Caputo-type fractional derivative --- tangent polynomials --- Bernoulli spiral --- multi-point --- q -Hermite–Euler polynomials --- analytic functions --- Fredholm integral equation --- orthogonality property --- Struve functions --- cryptography --- Janowski star-like function --- starlike and q-starlike functions --- piecewise Hermite collocation method --- uniformly starlike and convex functions --- q -Hermite–Bernoulli polynomials --- generalized functions --- meromorphic function --- basic hypergeometric functions --- fractional-order differential equations --- q -Sheffer–Appell polynomials --- integral representations --- Srivastava–Tomovski generalization of Mittag–Leffler function --- Caputo fractional derivative --- Bernoulli --- symmetric --- sufficient conditions --- nonlocal --- the existence of a solution --- functions of bounded boundary and bounded radius rotations --- differential inclusion --- symmetry of the zero --- recurrence relation --- nonlinear boundary value problem --- Volterra integral equations --- Ulam stability --- q)-analogue of tangent numbers and polynomials --- starlike function --- function spaces and their duals --- strongly starlike functions --- q)-Bernstein operators --- vibrating string equation --- ?-generalized Hurwitz-Lerch zeta functions --- bound on derivatives --- Janowski convex function --- volterra integral equation --- strongly-starlike function --- Hadamard product (convolution) --- regular solution --- generalized Hukuhara differentiability --- functions with positive real part --- exponential function --- q–Bleimann–Butzer–Hahn operators --- Carlitz-type q-tangent polynomials --- distributions --- Carlitz-type q-tangent numbers --- starlike functions --- Riemann-Stieltjes functional integral --- hash --- K-functional --- (p --- Euler --- truncated-exponential polynomials --- Maple graphs --- Hurwitz-Euler eta function --- higher order Schwarzian derivatives --- generating functions --- strongly convex functions --- Hölder condition --- multiple Hurwitz-Euler eta function --- recurrence relations --- q-starlike functions --- partial sum --- Euler and Genocchi polynomials --- tangent numbers --- spectral decomposition --- determinant definition --- monomiality principle --- highly oscillatory --- Hurwitz-Lerch zeta function --- Adomian decomposition method --- analytic number theory --- existence --- existence of at least one solution --- symmetric identities --- modulus of continuity --- modified Kudryashov method --- MFCC --- q-hypergeometric functions --- differential subordination --- Janowski functions --- and Genocchi numbers --- series representation --- initial conditions --- generalization of exponential function --- upper bound --- q-derivative (or q-difference) operator --- DCT --- Schwartz testing function space --- anuran calls --- generalized Kuramoto–Sivashinsky equation --- Mittag–Leffler function --- subordination --- Hardy space --- convergence --- Hermite interpolation --- direct Hermite collocation method --- q-Euler numbers and polynomials --- distribution space --- Apostol-type polynomials and Apostol-type numbers --- Schauder fixed point theorem --- fractional integral --- convolution quadrature rule --- q)-integers --- Liouville-Caputo fractional derivative --- fixed point --- convex functions --- Grandi curves --- tempered distributions --- higher order q-Euler numbers and polynomials --- radius estimate