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extensions of some polynomial inequalities to the polar derivative
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BACKGROUND Empathizing is a specific component of social cognition. Empathizing is also specifically impaired in autism spectrum condition (ASC). These are two dimensions, measurable using the Empathy Quotient (EQ) and the Autism Spectrum Quotient (AQ). ASC also involves strong systemizing, a dimension measured using the Systemizing Quotient (SQ). The present study examined the relationship bet...
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The Rayleigh Quotient Iteration (RQI) was developed for real symmetric matrices. Its rapid local convergence is due to the stationarity of the Rayleigh Quotient at an eigenvector. Its excellent global properties are due to the monotonie decrease in the norms of the residuals. These facts are established for normal matrices. Both properties fail for nonnormal matrices and no generalization of th...
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Let X be a smooth projective variety acted on by a reductive group G. Let L be a positive G-equivariant line bundle over X. We use a Witten type deformation of the Dolbeault complex of L, introduced by Tian and Zhang, to show, that the cohomology of the sheaf of holomorphic sections of the induced bundle on the Mumford quotient of (X, L) is equal to the G-invariant part on the cohomology of the...
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ژورنال
عنوان ژورنال: European Journal of Pure and Applied Mathematics
سال: 2019
ISSN: 1307-5543
DOI: 10.29020/nybg.ejpam.v12i2.3384