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The number of solutions of certain quartic diagonal equations over finite field

open access: yes四川大学学报. 自然科学版
Let p be a prime, k be a positive integer and Fq be the finite field of q=pk elements.Let Fq* be the multiplicative group of Fq, that is, Fq*=Fq\{0}.For a polynomial f(x1,…,xn) over Fq, use Nf(x1,…,xn)=0 to denote the number of solutions of f(x1,x2,…,xn)=
HU Shuang-Nian, GAO Ji-Dong, DU Yi-Yang
doaj  

Jacobi Fields in Optimal Control

open access: yes, 2018
In this thesis we study how the information about the Hessian of optimal control problems can be encoded in some special curves in the Lagrangian Grassmanian associated to the problem. This allows to generalize the famous Morse theorem in the classical calculus of variations to a variety of very singular problems, which relates the number of conjugate ...
openaire   +1 more source

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