Add to ORKGThis paper gives us one among all other applications of mathematics in practical ways - specifically, the use of mathematics in perfect shuffles. This study mainly discusses a step-by-step procedure in moving a card at position i to a desired position j through the use of binary trees, modular arithmetic and some derived functions. Moreover, this is an expanded and more detailed paper based on an article by Sarnath Ramnath and Daniel Scully entitled Moving Card j to Position j with Perfect Shuffles
This thesis considers the effect of riffle shuffling on decks of cards, allowing for some cards to b...
A shuffle is the horizontal interchange of a pair of blocks of the same size in a matrix. A general ...
Abstract | In this article the shuffling of cards is studied by using the concept of a group action....
AbstractThere are two ways to perfectly shuffle a deck of 2n cards. Both methods cut the deck in hal...
There are many ways to shuffle a card deck, but one particularly interesting way is what’s known as ...
The mystery of magic and the artistry of juggling have surprising links to interesting ideas in math...
The crux of a card trick performed with a deck of cards usually depends on understanding how shuffle...
We are all familiar with the riffle shuffle, one of the most popular ways to shuffle cards. To per...
1. Introduction The most common method of mixing cards is the ordinary riffle shuffle, in which a de...
This paper provides a comprehensive introduction to groups of perfect shuffles. A perfect shuffle is...
AbstractWe define a class of permutations called generalized shuffles and study their basic properti...
The (k,n)-perfect shuffle, a generalisation of the 2-way perfect shuffle, cuts a deck of kn cards in...
Abstract. Consider a permutation σ ∈ Sn as a deck of cards numbered from 1 to n and laid out in a ro...
We examine whether some ideas from the mathematics of card shuffles can usefully be applied to seque...
In this paper we survey some recent researches concerning the shuffle operation that arise both in F...
This thesis considers the effect of riffle shuffling on decks of cards, allowing for some cards to b...
A shuffle is the horizontal interchange of a pair of blocks of the same size in a matrix. A general ...
Abstract | In this article the shuffling of cards is studied by using the concept of a group action....
AbstractThere are two ways to perfectly shuffle a deck of 2n cards. Both methods cut the deck in hal...
There are many ways to shuffle a card deck, but one particularly interesting way is what’s known as ...
The mystery of magic and the artistry of juggling have surprising links to interesting ideas in math...
The crux of a card trick performed with a deck of cards usually depends on understanding how shuffle...
We are all familiar with the riffle shuffle, one of the most popular ways to shuffle cards. To per...
1. Introduction The most common method of mixing cards is the ordinary riffle shuffle, in which a de...
This paper provides a comprehensive introduction to groups of perfect shuffles. A perfect shuffle is...
AbstractWe define a class of permutations called generalized shuffles and study their basic properti...
The (k,n)-perfect shuffle, a generalisation of the 2-way perfect shuffle, cuts a deck of kn cards in...
Abstract. Consider a permutation σ ∈ Sn as a deck of cards numbered from 1 to n and laid out in a ro...
We examine whether some ideas from the mathematics of card shuffles can usefully be applied to seque...
In this paper we survey some recent researches concerning the shuffle operation that arise both in F...
This thesis considers the effect of riffle shuffling on decks of cards, allowing for some cards to b...
A shuffle is the horizontal interchange of a pair of blocks of the same size in a matrix. A general ...
Abstract | In this article the shuffling of cards is studied by using the concept of a group action....