Smooth points of a semialgebraic set
نویسندگان
چکیده
منابع مشابه
Tameness of Holomorphic Closure Dimension in a Semialgebraic Set
Given a semianalytic set S in Cn and a point p ∈ S, there is a unique smallest complex-analytic germ Xp which contains Sp, called the holomorphic closure of Sp. We show that if S is semialgebraic then Xp is a Nash germ, for every p, and S admits a semialgebraic filtration by the holomorphic closure dimension. As a consequence, every semialgebraic subset of a complex vector space admits a semial...
متن کاملDensity of the Periodic Points in the Interval Set
The dynamical system (f,R) is introduced and some of its properties are investigated. It is proven that there is an invariant set Λ on which the periodic points of f are dense.
متن کاملPrediction of melting points of a diverse chemical set using fuzzy regression tree
The classification and regression trees (CART) possess the advantage of being able to handlelarge data sets and yield readily interpretable models. In spite to these advantages, they are alsorecognized as highly unstable classifiers with respect to minor perturbations in the training data.In the other words methods present high variance. Fuzzy logic brings in an improvement in theseaspects due ...
متن کاملShallow Packings, Semialgebraic Set Systems, Macbeath Regions, and Polynomial Partitioning
The packing lemma of Haussler states that given a set system (X,R) with bounded VC dimension, if every pair of sets in R have large symmetric difference, then R cannot contain too many sets. Recently it was generalized to the shallow packing lemma, applying to set systems as a function of their shallow-cell complexity. In this paper we present several new results and applications related to pac...
متن کاملOn the minimum of a polynomial function on a basic closed semialgebraic set and applications
We give an explicit upper bound for the algebraic degree and an explicit lower bound for the absolute value of the minimum of a polynomial function on a compact connected component of a basic closed semialgebraic set when this minimum is not zero. As an application, we obtain a lower bound for the separation of two disjoint connected components of basic closed semialgebraic sets, when at least ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 2003
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap82-2-5