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Overparameterized Multiple Linear Regression as Hyper-Curve Fitting
The paper shows that the application of the fixed-effect multiple linear regression model to an overparameterized dataset is equivalent to fitting the data with a hyper-curve parameterized by a single scalar parameter. This equivalence allows for a predictor-focused approach, where each predictor is described by a function of the chosen parameter.
Atza, E., Budko, N.
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Irrational HK multiplicities are possible for trinomial hyper surfaces
A `trinomial hyper surface' is defined in 1 below. In this article, I provide a supportive reasoning towards the fact that there can be examples of trinomial hyper surfaces (at least over fields of characteristic 2) for which the corresponding Hilbert-Kunz multiplicity can become irrational.
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Prime hyperideal in multiplicative ternary hyperrings
Md. Salim, T. K. Dutta
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A novel study on the structure of left almost hypermodules. [PDF]
Abughazalah N +3 more
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Multiple Intracranial Aneurysms Associated with Hyper-IgE Syndrome
Satoru, Takeuchi +3 more
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Distinction between hyper-Kloosterman sums and multiplicative functions
Let $\kl_n(a,b;m)$ be the hyper-Kloosterman sum. Fix integers $n\geqslant2,a\neq0$, $b\neq0$ and $k\geqslant2$. For any $0\neqη\in\mathbb{C}$ and multiplicative function $f: \mathbb{N} \rightarrow \mathbb{C}$, we prove that $\kl_n(a,b;m)\neqηf(m)$ holds for $100\%$ square-free $k$-almost prime numbers $m$ and $100\%$ square-free numbers $m ...
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$(u,v)$-absorbing primary hyperideals in multiplicative hyperrings
The present paper addresses the notion of $(u,v)$-absorbing primary hyperideals in commutative multiplicative hyperrings.
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Prime and primary hyperideals in Krasner (m, n)-hyperrings
R. Ameri, M. Norouzi
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Polynomials over multiplicative hyperrings
Journal of Discrete Mathematical Sciences and Cryptography, 2003Abstract We build a polynomials multiplicative hyperring over a multiplicative hyperring A and identify properties of A which are necessary for this construction.
ROTA, Rosaria, PROCESI R.
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