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By exploring the relationship between difference matrices and orthogonal decomposition of projection matrices, this paper presents a general method for constructing smaller normal mixed difference ma...
Abstract: In this paper we form relations for the determination of the elements of the E\"otv\"os matrix of the Earth's normal gravity field. In addition a relation between the Gauss curvature of the ...
Let Y be a normal and projective variety over an algebraically closed field k and V a vector bundle over Y . We prove that if there exist a k-scheme X and a finite surjective morphism g : X → Y that t...
Let (P) = (0, 1, . . . , d) be the -vector of an integral polytope P ⊂ RN of dimension d. By means of Hermite normal forms of square matrices,the problem of classifying the possible integra...
We prove in ZF that there is an inner product space, in fact, nicely definable with no orthonormal basis.
Working over a perfect field, I classify normal del Pezzo surfaces with base number one that contain a nonrational singularity. They form a huge infinite hierarchy; contractions of ruled surfaces lie ...

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