DUCCI SEQUENCES IN HIGHER DIMENSIONS Florian Breuer
... to the richest theory. Let’s restrict ourselves, for now, to the following class of operators: Definition 14 A map D : Mn1 ×···×nd (Z) → Mn1 ×···×nd (Z) is called a Ducci operator if it satisfies D(aU ) = aD(U ) for every scalar a ∈ Z, and if it reduces modulo 2 to the usual Ducci operator D of Defi ...
... to the richest theory. Let’s restrict ourselves, for now, to the following class of operators: Definition 14 A map D : Mn1 ×···×nd (Z) → Mn1 ×···×nd (Z) is called a Ducci operator if it satisfies D(aU ) = aD(U ) for every scalar a ∈ Z, and if it reduces modulo 2 to the usual Ducci operator D of Defi ...
Fibonacci numbers
... female, are put in a field; rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits; rabbits never die and a mating pair always produces one new pair (one male, one female) every month from the second month on. The puzzle ...
... female, are put in a field; rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits; rabbits never die and a mating pair always produces one new pair (one male, one female) every month from the second month on. The puzzle ...
Fibonacci Numbers
... The name of the function is in uppercase because historically Matlab was case insensitive and ran on terminals with only a single font. The use of capital letters may be confusing to some first-time Matlab users, but the convention persists. It is important to repeat the input and output arguments in ...
... The name of the function is in uppercase because historically Matlab was case insensitive and ran on terminals with only a single font. The use of capital letters may be confusing to some first-time Matlab users, but the convention persists. It is important to repeat the input and output arguments in ...
Lecture notes on descriptional complexity and randomness
... The theory of randomness is more impressive for infinite sequences than for finite ones, since sharp distinction can be made between random and nonrandom infinite sequences. For technical simplicity, first we will confine ourselves to finite sequences, especially a discrete sample space Ω, which we ...
... The theory of randomness is more impressive for infinite sequences than for finite ones, since sharp distinction can be made between random and nonrandom infinite sequences. For technical simplicity, first we will confine ourselves to finite sequences, especially a discrete sample space Ω, which we ...
An Introduction to Contemporary Mathematics
... [HM] is an excellent book. It is one of a small number of texts intended to give you, the reader, a feeling for the theory and applications of contemporary mathematics at an early stage in your mathematical studies. However, [HM] is directed at a different group of students — undergraduate students ...
... [HM] is an excellent book. It is one of a small number of texts intended to give you, the reader, a feeling for the theory and applications of contemporary mathematics at an early stage in your mathematical studies. However, [HM] is directed at a different group of students — undergraduate students ...
Full text
... between summands, including a proof that the distribution of the longest gap converges to the same distribution one sees when looking at the longest run of heads in tosses of a biased coin, see [2, 3, 5]. There is a large set of literature addressing generalized Zeckendorf decompositions, these incl ...
... between summands, including a proof that the distribution of the longest gap converges to the same distribution one sees when looking at the longest run of heads in tosses of a biased coin, see [2, 3, 5]. There is a large set of literature addressing generalized Zeckendorf decompositions, these incl ...
