منابع مشابه
On Simply Normal Numbers to Different Bases
Let s be an integer greater than or equal to 2. A real number is simply normal to base s if in its base-s expansion every digit 0, 1, . . . , s ́ 1 occurs with the same frequency 1{s. Let S be the set of positive integers that are not perfect powers, hence S is the set t2, 3, 5, 6, 7, 10, 11, . . .u. Let M be a function from S to sets of positive integers such that, for each s in S, if m is in M...
متن کاملNeither better nor worse, simply different.
Have you ever suffered discrimination because you used secondary data in your research? Since the principal area of research for this article’s three authors involves the development and application of techniques for using secondary data, our answer is definitely no. However, we frequently hear complaints by colleagues who have encountered barriers to developing their theses or obtaining resear...
متن کاملSimply Normal Numbers to Different Bases
Let b ≥ 2 be an integer. A real number is called simply normal to base b if in its representation to base b every digit appears with the same asymptotic frequency. We answer the following question for arbitrary integers a, b ≥ 2: if a real number is simply normal to base a, does this imply that it is also simply normal to base b? It turns out that the answer is different from the well–known ans...
متن کاملBrauer Algebras of Simply Laced Type
The diagram algebra introduced by Brauer that describes the centralizer algebra of the n-fold tensor product of the natural representation of an orthogonal Lie group has a presentation by generators and relations that only depends on the path graph An−1 on n− 1 nodes. Here we describe an algebra depending on an arbitrary graph M , called the Brauer algebra of type M , and study its structure in...
متن کاملBmw Algebras of Simply Laced Type
It is known that the recently discovered representations of the Artin groups of type An, the braid groups, can be constructed via BMW algebras. We introduce similar algebras of type Dn and En which also lead to the newly found faithful representations of the Artin groups of the corresponding types. We establish finite dimensionality of these algebras. Moreover, they have ideals I1 and I2 with I...
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ژورنال
عنوان ژورنال: Blood
سال: 2016
ISSN: 0006-4971,1528-0020
DOI: 10.1182/blood-2016-07-725002