Results 111 to 120 of about 8,131,330 (355)
A METHOD FOR THE SOLUTION OF NORMAL EQUATIONS
A new method of solving normal equations is presented. A comparison is made of the application of the method to a multiple regression case used by Dwyer to illustrate his abbreviation of the Doolittle method. The proposed method for relatively, small numbers of unknowns at least, is simpler than Dwyer's method, considered to date to be one, if not the ...
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Sur la solution d'équations normales [PDF]
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Determination of ADP/ATP translocase isoform ratios in malignancy and cellular senescence
The individual functions of three isoforms exchanging ADP and ATP (ADP/ATP translocases; ANTs) on the mitochondrial membrane remain unclear. We developed a method for quantitatively differentiating highly similar human ANT1, ANT2, and ANT3 using parallel reaction monitoring. This method allowed us to assess changes in translocase levels during cellular
Zuzana Liblova+18 more
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Normalized homoclinic solutions of discrete nonlocal double phase problems
The aim of this paper is to discuss the existence of normalized solutions to the following nonlocal double phase problems driving by the discrete fractional Laplacian: ( − Δ𝔻)pαu(k) + μ(−Δ 𝔻)qβu(k) + ω(k)|u(k)|p−2u(k) = λ|u(k)|q−2u(k) + h(k)|u(k)|r−2u(k)
Mingqi Xiang, Yunfeng Ma, Miaomiao Yang
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Breast cancer metastasis is associated with myeloid cell dysregulation and the lung‐specific accumulation of tumor‐supportive Gr1+ cells. Gr1+ cells support metastasis, in part, through a CHI3L1‐mediated mechanism, which can be targeted and inhibited with cargo‐free, polymeric nanoparticles.
Jeffrey A. Ma+9 more
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Dunkl-Poisson Equation and Related Equations in Superspace
In this paper, we investigate the Almansi expansion for solutions of Dunkl-polyharmonic equations by the 0-normalized system for the Dunkl-Laplace operator in superspace.
Hong Fen Yuan, Valery V. Karachik
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Existence and uniqueness of normalized solutions for the Kirchhoff equation
For a class of Kirchhoff functional, we first give a complete classification with respect to the exponent $p$ for its $L^2$-normalized critical points, and show that the minimizer of the functional, if exists, is unique up to translations. Secondly, we search for the mountain pass type critical point for the functional on the $L^2$-normalized manifold,
Yimin Zhang, Xiaoyu Zeng
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This study develops a semi‐supervised classifier integrating multi‐genomic data (1404 training/5893 validation samples) to improve homologous recombination deficiency (HRD) detection in breast cancer. Our method demonstrates prognostic value and predicts chemotherapy/PARP inhibitor sensitivity in HRD+ tumours.
Rong Zhu+12 more
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Positive Normalized Solutions to a Kind of Fractional Kirchhoff Equation with Critical Growth
In this paper, we have investigated the existence of normalized solutions for a class of fractional Kirchhoff equations involving nonlinearity and critical nonlinearity. The nonlinearity satisfies L2-supercritical conditions.
Shiyong Zhang, Qiongfen Zhang
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Beam-size-related phenomena and effective normalization in energy-dispersive EXAFS for the study of heterogeneous catalysts, powder materials and the processes they mediate: observations and (some) solutions [PDF]
Mark A. Newton
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