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  1. 1

    FORMULATICITY OF THE INCOMPLETE SYNTACTIC FORM OF AN IMPERATIVE STATEMENT IN DISCOURSE by Iuliia А. Nenasheva

    Published 2024-12-01
    “…Research corpora include 22 fiction texts containing more than 2 million words. The paper presents quantitative evaluation of representation in discourse of incomplete syntactic structures of imperatives. …”
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    Behaviors of the Solutions via Their Closed-Form Formulas for Two Rational Third-Order Difference Equations by Raafat Abo-Zeid, Abdul Qadeer Khan

    Published 2021-01-01
    “…In this work, we derive the solution formulas and study their behaviors for the difference equations xn+1=αxnxn−3/−βxn−3+γxn−2,n∈ℕ0 and xn+1=αxnxn−3/βxn−3−γxn−2,n∈ℕ0 with real initials and positive parameters. …”
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    Formulas For Solutions Of The Riccati’s Equation by A. Asanov, E. Hazar, R. Asanov

    Published 2017-12-01
    “…In this paper we obtained the formula for the common solution of Riccati equations. …”
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    Quadrupole formulae with cosmological constant: comparison by Denis Dobkowski-Ryłko, Jerzy Lewandowski

    Published 2025-01-01
    “…All of them lead to generalizations of the quadrupole formula, however, due to different gauge conditions and choices of the hypersurfaces, across which the energy flux is computed, it is nontrivial to see that they all coincide, as one would expect from the symplectic theory. …”
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    Finite-Element Formulae for Calculating the Sectional Forces of a Bernoulli-Euler Beam on Continuously Viscoelastic Foundation Subjected to Concentrated Moving Loads by Ping Lou

    Published 2008-01-01
    “…In the finite element method, there are shortcomings using the conventional formulae to calculate the sectional forces, i.e., the bending moment and the shear force, at any cross-section of Bernoulli-Euler beam under dynamic loads. …”
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    A series transformation formula and related polynomials by Khristo N. Boyadzhiev

    Published 2005-01-01
    “…This formula serves two purposes: first, it helps to evaluate some power series in a closed form; second, it transforms certain power series into asymptotic series. …”
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    Formulas for Generalized Two-Qubit Separability Probabilities by Paul B. Slater

    Published 2018-01-01
    “…Then, we (Dunkl and I) construct a remarkably compact (hypergeometric) form for Q(k,α) itself. The possibility of an analogous “master” formula for P(k,α) is, then, investigated, and a number of interesting results are found.…”
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    Treatment with Herbal Formula Extract in the hSOD1G93A Mouse Model Attenuates Muscle and Spinal Cord Dysfunction via Anti-Inflammation by Eun Jin Yang, Sun Hwa Lee, Mudan Cai

    Published 2022-01-01
    “…Herbal formula extract (HFE) (1 mg/g) were orally administered once daily for six weeks, starting at eight weeks of age, in hSOD1G93A transgenic mice. …”
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    New Forms of the Open Newton-Cotes-Type Inequalities for a Family of the Quantum Differentiable Convex Functions by Jarunee Soontharanon, Muhammad Ali, Shahram Rezapour, Muhammad Toseef, Thanin Sitthiwirattham

    Published 2025-01-01
    “…These inequalities are useful for determining error bounds for the open Newton-Cotes formulas in both classical and $q$-calculus. This work distinguishes itself from existing studies by employing quantum operators, leading to sharper and more precise error estimates. …”
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    Density Formula in Malliavin Calculus by Using Stein’s Method and Diffusions by Hyun-Suk Park

    Published 2025-01-01
    “…In this paper, unlike previous studies, we will use the Stein’s method for invariant measures of diffusions to obtain the density formula of <i>G</i>. By comparing the density function obtained in this paper with that of the diffusion invariant measure, we find that the diffusion coefficient of an Itô diffusion with an invariant measure having a density can be expressed as in terms of operators in Malliavin calculus.…”
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    A New Approach to General Interpolation Formulae for Bivariate Interpolation by Le Zou, Shuo Tang

    Published 2014-01-01
    “…The general interpolation formulae include general interpolation formulae of symmetric branched continued fraction, general interpolation formulae of univariate and bivariate interpolation, univariate block based blending rational interpolation, bivariate block based blending rational interpolation and their dual schemes, and some interpolation form studied by many scholars in recent years. …”
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    Some Generalized Formulas of Hadamard-Type Fractional Integral Inequalities by Xiujun Zhang, Ghulam Farid, Hafsa Yasmeen, Kamsing Nonlaopon

    Published 2022-01-01
    “…These inequalities provide some general formulas from which one can get associated inequalities for various types of exponentially convex and strongly convex functions. …”
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