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Note on the product of n inhomogeneous linear forms [PDF]
AbstractIt is proved that if K is a convex body in euclidean n-space with volume V(K), and f(x) is the distance function of K, and t > 0 is such that V(tK) = 2n−1, then given any real number a, there exists an integral point x for which either (i) f(x + a) ⩾ t, or (ii) f(x) ⩾ t and x 0. Several conclusions are drawn. For example, if Li(x), i = 1, 2, 3
Mordell, L.J.
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On the apolar algebra of a product of linear forms [PDF]
Apolarity is a important tool in commutative algebra and algebraic geometry which studies a form, f, by the action of polynomial differential operators on f. The quotient of all polynomial differential operators by those which annihilate f is called the apolar algebra of f.
Chris Peterson, Michael Dipasquale
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The asymmetric product of three homogeneous linear forms [PDF]
AbstractIt is shown, given any positive real number λ and any point (x1, x2, x3) of R3 and any lattice λ R3; that there exists a point (z1, z2, z3) of λ for whichwhich generalizes a theorem due to Remak.
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Intelligent generation of product bionic image forms via multimodal emotion-weighted quantification [PDF]
To address key limitations in traditional bionic image design, including the lack of quantitative analysis of user preferences and the poor controllability of AI-driven picture generation, which often leads to homogeneous outputs with limited emotional ...
Xinran Chen +4 more
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Development of a Sensitive Spectrophotometric Determination of Methyldopa Drug
A sensitive spectrophotometric approach for measuring methyldopa (MDP) in both its pure and pharmaceutical forms was recommended by the study. The suggested method relies on combining MDP with 4-aminopyridine with N- Bromosuccinimide and sodium ...
Rusul Mazin Kaddouri +1 more
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Analysis of The Effect of Service Quality and Product Quality on Consumer Loyalty
The purpose of this study is to obtain valid and reliable empirical data, facts, and information regarding the analysis of product quality factors and customer loyalty service quality of fast food restaurant consumers.
D. Purnomo +2 more
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On the product of two inhomogeneous linear forms.
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Structure vs Randomness for Bilinear Maps
Structure vs randomness for bilinear maps, Discrete Analysis 2022:12, 21 pp. A _tensor_ can be thought of as a higher-dimensional analogue of a matrix (where a matrix is 2-dimensional).
Guy Moshkovitz, Alex Cohen
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The Effect of Iodised Poly-3-Hydroxy Butyrate on DNA and BSA
Objective:An important criterion that radiopaque poly-3-hydroxy butyrate (PHB) derivatives synthesized and characterized by our study group do not interact with DNA and bovine albumin to be developed as an intravenous contrast agent for radiological ...
Arzu EROL
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Some Density Results on Sets of Primes for Hecke Eigenvalues
Let f and g be two distinct holomorphic cusp forms for SL2ℤ, and we writeλfn and λgn for their corresponding Hecke eigenvalues. Firstly, we study the behavior of the signs of the sequences λfpλfpj for any even positive integer j.
Aiyue Zou, Huixue Lao, Shu Luo
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