For a subvariety of a smooth projective variety, consider the family of smooth hypersurfaces of sufficiently large degree containing it, and take the quotient of the middle cohomology of the hypersurfaces by the cohomology of the ambient variety and also by the cycle classes of the irreducible components of the subvariety. Using Deligne’s semisimplicity theorem together with Steenbrink’s theory...

Adversity quotient is the capacity to adjust with the adversities in life. A person with good Adversity quotient can achieve the goal by fighting against all odds. It is also related to many other factors like self esteem, motivation, fighting spirit, creativity, sincerity, positive attitude, optimism, emotional stability etc. Adversity quotient is also related to the Academic problems of stude...

Let A be a Koszul Artin-Schelter regular algebra, σ graded automorphism of and δ degree-one -derivation . We introduce an invariant for called the -divergence describe Nakayama Ore extension B = [ z ; , ] explicitly using construct twisted superpotential ω ˆ so that it is derivation quotient algebra defined by also determine all extensions noetherian algebras dimension 2 compute their automorph...

We compare the cohomology ring of flag variety ${\\mathcal{F}\\ell}n$ and Chow Gelfand–Zetlin toric $X{\\operatorname{GZ}}$.We show that $H^(\\mathcal{F}{\\ell}\_n, \\mathbb{Q})$ is Poincaré duality quotient subalgebra $A^(X\_{\\operatorname{GZ}}, generated by degree $1$ elements. compute these algebras for $n=3$ see that, in general, this does not have duality.

In this paper, we derive an explicit formula for the bivariate Lagrange basis polynomials of a general set checkerboard nodes. This generalizes existing results at Padua nodes, Chebyshev Morrow-Patterson and Geronimus We also construct subspace spanned by linearly independent vanishing that vanish nodes prove uniqueness in quotient space defined as with certain degree over polynomials.

conclusions chronic and moderate malnutrition did not influence the cognitive function, the intelligence quotient, and the impulsivity index. background undernutrition is the most common cause of growth retardation in developing countries. we aimed to assess the effect of undernutrition on cognition, intelligence quotient, and impulsivity index of 7-11 year-old children in shiraz, southern iran...

This study examines the relationship between the Maxima Dispersion Quotient (MDQ), a recently proposed measure of the tense-lax dimension of voice quality, and voice source parameters manually measured from glottal flow data, where there is linguistically and paralinguistically determined voice source modulation. MDQ was found to correlate most closely to the open quotient (OQ) and the RD param...

We propose a new Riemannian geometry for fixed-rank matrices that is specifically tailored to the low-rank matrix completion problem. Exploiting the degree of freedom of a quotient space, we tune the metric on our search space to the particular least square cost function. At one level, it illustrates in a novel way how to exploit the versatile framework of optimization on quotient manifold. At ...