Annihilating polynomials for quadratic forms by David W. Lewis

“…This is a short survey of the main known results concerning annihilating polynomials for the Witt ring of quadratic forms over a field.…”
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Kaplansky's ternary quadratic form by James Kelley

“…The proof is modelled on that of a similar theorem by Ono and Soundararajan, in which relations between the number of representations of an integer np2 by two quadratic forms in the same genus, the pth coefficient of an L-function of a suitable elliptic curve, and the class number formula prove the theorem for large primes, leaving 3 cases which are easily numerically verified.…”
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Quadratic Forms in Random Matrices with Applications in Spectrum Sensing by Daniel Gaetano Riviello, Giusi Alfano, Roberto Garello

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Quadratic forms in $I^n$ of dimension $2^n+2^{n-1}$ by Harvey, Curtis R., Karpenko, Nikita A.

Subjects: “…Quadratic forms over fields…”
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On the number of representations of positive integers by quadratic forms as the basis of the space S4(Γ0(47),1) by Ahmet Tekcan, Osman Bızım

“…The number of representations of positive integers by quadratic forms F1=x12+x1x2+12x22 and G1=3x12+x1x2+4x22 of discriminant −47 are given. …”
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Asymptotic expansion for the distribution density function of the quadratic form of a stationary Gaussian process in the large deviation Cramer zone by Leonas Saulis

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Finite-time anti-synchronization of a 6D Lorenz systems by Hu Tang, Kaiyu Liu, Zhengqiu Zhang

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A new formulation of the law of octic reciprocity for primes ≡±3(mod8) and its consequences by Richard H. Hudson, Kenneth S. Williams

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H∞ Estimation for a Class of Lipschitz Nonlinear Discrete-Time Systems with Time Delay by Huihong Zhao, Chenghui Zhang, Guangchen Wang, Guojing Xing

“…First, through integrating the H∞ filtering performance index with the Lipschitz conditions of the nonlinearity, the design of robust estimator is formulated as a positive minimum problem of indefinite quadratic form. Then, by introducing the Krein space model and applying innovation analysis approach, the minimum of the indefinite quadratic form is obtained in terms of innovation sequence. …”
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Lump-Type Wave and Interaction Solutions of the Bogoyavlenskii–Kadomtsev–Petviashvili Equation by Chuanjian Wang, Hui Fang

“…Lump-type wave solution of the Bogoyavlenskii–Kadomtsev–Petviashvili equation is constructed by using the bilinear structure and Hermitian quadratic form. The dynamical behaviors of lump-type wave solution are investigated and presented analytically and graphically. …”
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Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay by Irada A. Dzhalladova, Jaromír Baštinec, Josef Diblík, Denys Y. Khusainov

“…Sufficient conditions for the exponential stability are derived by using Lyapunov-Krasovskii functionals of quadratic form with exponential factors. Upper bound estimates for the exponential rate of decay are derived.…”
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Existence of periodic solutions and homoclinic orbits for third-order nonlinear differential equations by O. Rabiei Motlagh, Z. Afsharnezhad

“…Also we show that the above equation has many homoclinic solutions if F(x,x˙,x¨) has a quadratic form. Finally, we compare our result to that of Mehri and Niksirat (2001).…”
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Thermal performance of a moving fin with temperature-dependent thermal conductivity in convective and radiative environment by Yanqun Han, Xulong Peng

“…An approximate temperature distribution is determined in the quadratic form for arbitrary values of the Biot and Peclet numbers. …”
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A Mutual Broadcast Authentication Protocol for Wireless Sensor Networks Based on Fourier Series by Xiaogang Wang, Weiren Shi

“…Secondly, assume that f ( x ) is the quadratic form function, and achieve the reverse authentication work for base station to common sensor nodes by detecting the security of f ( x ) . …”
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Special N-dimensional charged anti-de-Sitter black holes in f(Q) gravitational theory by G.G.L. Nashed

“…In this study, we introduce a toroidal solution for charged anti-de Sitter black holes in N dimensions within the framework of the quadratic form of f(Q) gravity, employing the coincident gauge condition [1]. …”
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Comparison of Lesion Detection and Quantification in MAP Reconstruction with Gaussian and Non-Gaussian Priors by Jinyi Qi

“…The most commonly used prior are Gaussian priors, whose logarithm has a quadratic form. Gaussian priors are relatively easy to analyze. …”
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Improved Firefly Algorithm: A Novel Method for Optimal Operation of Thermal Generating Units by Thang Trung Nguyen, Nguyen Vu Quynh, Le Van Dai

“…The objective function considers single fuel with quadratic form and nonconvex form, and multifuels with the sum of several quadratic and nonconvex functions while a set of constraints taken into account are power loss, prohibited zone, ramp rate limit, spinning reserve, and all constraints in transmission power networks. …”
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Constructing stellar solutions with spherical symmetry through quadratic anisotropy in f(Q) gravity by R. Kumar, S. K. Maurya, A. Errehymy, A. Jaiswal, K. Myrzakulov, S. Sharma

“…A physically meaningful metric potential $$g_{rr}$$ g rr is considered, and a quadratic form of anisotropy is utilized to solve the Einstein field equations in closed form. …”
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Positivity of convolution quadratures generated by nonconvex sequences by Karaa, Samir

“…The positive definiteness of real quadratic forms of convolution type plays an important role in the stability analysis of time-stepping schemes for nonlocal models. …”
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Lie Group Classification of a Generalized Lane-Emden Type System in Two Dimensions by Motlatsi Molati, Chaudry Masood Khalique

“…We show that several cases arise in classifying the arbitrary parameters, the forms of which include amongst others the power law nonlinearity, and exponential and quadratic forms.…”
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