SOME REMARKS ON FLATNESS OF MORPHISMS OVER SMOOTH BASE SPACES
Tài liệu An Account of the Foxglove and some of its Medical Uses With Practical Remarks on Dropsy and Other Diseases doc
... considered as cases lost to An Account of the Foxglove and some of its by William Withering the common run of practice, and only snatched from destruction, by the efficacy of the Digitalis; and ... I find the following memorandum "February 20th, 1779, gave an account of Doctor Withering's An Account of the Foxglove and some of its by W...
Báo cáo hóa học: " Remarks on inequalities of Hardy-Sobolev Type Ying-Xiong Xiao" ppt
... Xiao Journal of Inequalities and Applications 2011, 2011:132 http://www.journalofinequalitiesandapplications.com/content/2011/1/132 Page of where F(r) is the integral mean of f over the unit ... some f ∈ C∞ ([0, ∞)) Xiao Journal of Inequalities and Applications 2011, 2011:132 http://www.journalofinequalitiesandapplications.com/content/2011/1/132 Page of Lemma 2.2 Let f (|x|) ∈ C...
Báo cáo hóa học: " Research Article Remarks on Extensions of the Himmelberg Fixed Point Theorem" pptx
... : C F(x) is a nonempty closed and convex subset of K If (E,τ w )∗ separates points of E, then F has a fixed point in K When C is convex, Theorem 3.3 reduces to the main theorem of Jafari and Sehgal ... E, there exist points xV ∈ C and yV ∈ F(xV ) such that xV − yV ∈ V as in Theorem 2.1 H Komiya and S Park The following generalization of Theorems 1.1 and 2.3 is a consequence of...
Báo cáo hóa học: " Research Article Remarks on Sum of Products of h, q -Twisted Euler Polynomials and Numbers" potx
... functions and q- deformed fernionic integral, we obtain complete sums of products of the twisted h, q -extension of Euler polynomials and numbers as well The twisted h, q -Bernoulli and Euler ... complete sums of products of h, q -Bernoulli polynomials and numbers Theorem 3.6 Let n ∈ Z Then h,v En,w z n n l l El,w q y, q z h,v y, q zn−l 3.9 Pro...
Báo cáo hóa học: " Research Article Remarks on Separation of Convex Sets, Fixed-Point Theorem, and Applications in Theory of Linear Operators" pot
... functional f which separates K0 and K1 In a linear topological space, any two disjoint convex sets, one of which has an interior point, can be separated by a nonzero continuous linear functional, ... convex norm, we may prove (under certain general conditions) certain generalizations of the results on separation of convex sets Theorem 2.6 Let K0 and K1 be disjoint...
Báo cáo toán học: " Some Remarks on Weak Amenability of Weighted Group Algebras" ppt
... functions but such that (G, ω) is not weakly amenable For non-abelian groups, Borwick [2] gives a very interesting classification of weak amenability of Beurling algebras in term of functions defined ... N Grønbæk, A characterization of weak amenability, Studia Math 94 (1989) 149–162 N Grønbæk, Amenability of weighted discrete convolution algebras on cancellative semigrou...
Báo cáo toán học: "Some Remarks on Set-Valued Minty Variational Inequalities" ppt
... notion of convexity We consider this problem in two major cases For simplicity, we may assume, from now on that the svf has weakly compact values Some Remarks on Set-Valued Minty Variational ... Birkh¨user, Boston, 1990 a D Aussel and N Hadjisavvas, On quasimonotone variational inequalities, J Optim Theory Appl 121 (2004) 445–450 C Baiocchi and A Capelo, Variational and Qua...
Báo cáo toán học: "Some remarks on the Plotkin bound" doc
... and Theorem imply the condition 3d ≤ qn Theorem shows that inequality (1) cannot improve this condition (ii) Let u = and use (2) If q is even then 3d ≤ qn follows again If q is odd then the stronger ... determined in all these cases The final theorem gives at least a lower bound on PqL (u) According to Theorem 5, it is sufficent to consider only odd values of q The following convention...
EQUINORMALIZABILITY AND TOPOLOGICAL TRIVIALITY OF DEFORMATIONS OF ISOLATED CURVE SINGULARITIES OVER SMOOTH BASE SPACES
... Equinormalizable deformations of isolated curve singularities over smooth base spaces In this section we focus on equinormalizability of deformations of isolated (not necessarily reduced) curve singularities ... singularities over smooth base spaces of dimension ≥ Because of isolatedness of singularities in the special fibers of these defor...
SOME REMARKS ON FLATNESS OF MORPHISMS OVER SMOOTH BASE SPACES
... 2 ˆ CONG-TR ˆ `INH LE (X, x) is of arbitrary dimension and whose base space (S, 0) is smooth of dimension k ≥ In section we study firstly flatness of the restrictions f red and f in ... criterion to verify reducedness of the total spaces of flat morphisms over reduced Cohen-Macaulay base spaces Moreover, Theorem 2.6 implies that f red ≡ f , hence we have nothing to w...