Solid partition

In mathematics, solid partitions are natural generalizations of partitions and plane partitions defined by Percy Alexander MacMahon. A solid partition of $n$ is a three-dimensional array, $n_{i,j,k}$ , of non-negative integers (the indices $i,\ j,\ k\geq 1$ ) such that

and

Let $p_3(n)$ denote the number of solid partitions of $n$ . As the definition of solid partitions involves three-dimensional arrays of numbers, they are also called three-dimensional partitions in notation where plane partitions are two-dimensional partitions and partitions are one-dimensional partitions. Solid partitions and their higher-dimensional generalizations are discussed in the book by Andrews.

单词	Solid partition
释义	Solid partition 英语百科 Solid partition In mathematics, solid partitions are natural generalizations of partitions and plane partitions defined by Percy Alexander MacMahon. A solid partition of $n$ is a three-dimensional array, $n_{i,j,k}$ , of non-negative integers (the indices $i,\ j,\ k\geq 1$ ) such that and Let $p_3(n)$ denote the number of solid partitions of $n$ . As the definition of solid partitions involves three-dimensional arrays of numbers, they are also called three-dimensional partitions in notation where plane partitions are two-dimensional partitions and partitions are one-dimensional partitions. Solid partitions and their higher-dimensional generalizations are discussed in the book by Andrews.
随便看	cholelithotrity的意思 cholelith的意思 cholemesia的意思 cholemesis的意思 cholemia的意思 Cholemia familiaris simplex的意思 cholemia的意思 cholemic的意思 cholemic intoxication的意思 cholemic nephrosis的意思 cholemimetry的意思 cholenate的意思 cholene的意思 cholenes的意思 cholenic acid的意思 Cholent的意思 cholents的意思 cholentyl的意思 choleocamphoric acid的意思 choleophosphatase的意思 cholepathia的意思 cholepathia spastica的意思 cholepathy的意思 Cholepatin的意思 choleperitoneum的意思