On Borel-type methods

On Modified Borel Methods

for x>0. One says that 5-lim 5„ = 5|7?'-lim 5„ = 5] if lim^.,*, B(x; sk) = s[limx^x B'(x; sk)=s]. The relations between these Borel methods B, B', and their behavior under change of index are known [8, p. 183; 6; 7]. Following a suggestion of R. P. Boas, Jr., we intend to study in this paper the modified Borel methods which arise when the continuous variable x in (1.1) is replaced by the discre...

Notes on Borel Determinacy

In this talk, we will provide a high level sketch of Martin’s proof of Borel Determinacy.

the effects of error correction methods on pronunciation accuracy

هدف از انجام این تحقیق مشخص کردن موثرترین متد اصلاح خطا بر روی دقت آهنگ و تاکید تلفظ کلمه در زبان انگلیسی بود. این تحقیق با پیاده کردن چهار متد ارائه اصلاح خطا در چهار گروه، سه گروه آزمایشی و یک گروه تحت کنترل، انجام شد که گروه های فوق الذکر شامل دانشجویان سطح بالای متوسط کتاب اول passages بودند. گروه اول شامل 15، دوم 14، سوم 15 و آخرین 16 دانشجو بودند. دوره مربوطه به مدت 10 هفته ادامه یافت و د...

A Course on Borel Sets

Borel structures and Borel theories

We show that there is a complete, consistent Borel theory which has no “Borel model” in the following strong sense: There is no structure satisfying the theory for which the elements of the structure are equivalence classes under some Borel equivalence relation and the interpretations of the relations and function symbols are Borel in the natural sense. We also investigate Borel isomorphisms be...