Problems of equivalence

In the first chapter, we introduce the concept of profinite groups and study their basic properties; We define cohomology groups and investigate their functorial properties; Then we introduce Galois descent and give a correspondence between equivalence classes of twisted forms and cohomology classes under some conditions which will be described explicitly.

125p viabigailjohnson 10-06-2022 11 3   Download

Lecture Data Structures: Lesson 35 provide students with knowledge about dynamic equivalence problem; the trees we will use are not necessarily binary; to perform union of two sets, we merge the two trees by making the root of one point to the root of the other;...

20p hanthienngao 15-04-2022 12 1   Download

The objectives of the thesis: The thesis has developed a technique by combining the equivalent linearization method and the weighted averaging value to analyze the responses of some undamped free nonlinear vibrations.

31p extraenglish 24-05-2021 14 3   Download

This study primarily investigates the problem of non-equivalence at word level in translation between English and Vietnamese which is observed as the weakness of the majority of students in English Department – Hanoi University.

57p nguathienthan6 06-07-2020 35 1   Download

We construct an exhaustive submeasure that is not equivalent to a measure. This solves problems of J. von Neumann (1937) and D. Maharam (1947). Contents 1. Introduction 2. Roberts 3. Farah 4. The construction 5. The main estimate 6. Exhaustivity 7. Proof of Theorems 1.2 to 1.4 References 1. Introduction Consider a Boolean algebra B of sets.

30p dontetvui 17-01-2013 75 11   Download

A long-standing conjecture due to Michael Freedman asserts that the 4-dimensional topological surgery conjecture fails for non-abelian free groups, or equivalently that a family of canonical examples of links (the generalized Borromean rings) are not A − B slice. A stronger version of the conjecture, that the Borromean rings are not even weakly A − B slice, where one drops the equivariant aspect of the problem, has been the main focus in the search for an obstruction to surgery.

21p dontetvui 17-01-2013 73 7   Download

We exhibit a counterexample to Elliott’s classification conjecture for simple, separable, and nuclear C∗ -algebras whose construction is elementary, and demonstrate the necessity of extremely fine invariants in distinguishing both approximate unitary equivalence classes of automorphisms of such algebras and isomorphism classes of the algebras themselves.

17p dontetvui 17-01-2013 71 6   Download

In this paper we treat the two-variable positive extension problem for trigonometric polynomials where the extension is required to be the reciprocal of the absolute value squared of a stable polynomial. This problem may also be interpreted as an autoregressive filter design problem for bivariate stochastic processes. We show that the existence of a solution is equivalent to solving a finite positive definite matrix completion problem where the completion is required to satisfy an additional low rank condition. ...

69p tuanloccuoi 04-01-2013 67 11   Download

EURASIP Journal on Applied Signal Processing 2003:12, 1257–1264 c 2003 Hindawi Publishing Corporation The Fractional Fourier Transform and Its Application to Energy Localization Problems Patrick J. Oonincx Department of Nautical Sciences, Royal Netherlands Naval College (KIM), P.O. Box 10000, 1780 CA Den Helder, The Netherlands Email: p.j.oonincx@kim.nl Hennie G. ter Morsche Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands Email: morscheh@win.tue.

8p sting12 10-03-2012 42 4   Download

MULTIPLICITY RESULTS FOR A CLASS OF ASYMMETRIC WEAKLY COUPLED SYSTEMS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS FRANCESCA DALBONO AND P. J. MCKENNA Received 1 November 2004 We prove the existence and multiplicity of solutions to a two-point boundary value problem associated to a weakly coupled system of asymmetric second-order equations. Applying a classical change of variables, we transform the initial problem into an equivalent problem whose solutions can be characterized by their nodal properties.

23p sting12 10-03-2012 40 7   Download

PHP Crash Course CHAPTER 1 15 Different tag styles are available. This is the short style. If you have some problems running this script, it might be because short tags are not enabled in your PHP installation. Let’s look at this in more detail. 1 PHP CRASH COURSE PHP Tag Styles There are actually four different styles of PHP tags we can use. Each of the following fragments of code is equivalent. • Short style Order processed.”; ? This is the tag style that will be used in this book. It is the default tag that PHP developers use to code PHP. This style of tag is the...

10p yukogaru14 30-11-2010 129 31   Download