Sentence examples for partition of numbers from inspiring English sources

In England Ramanujan made further advances, especially in the partition of numbers (the number of ways that a positive integer can be expressed as the sum of positive integers; e.g., 4 can be expressed as 4, 3 + 1, 2 + 2, 2 + 1 + 1, and 1 + 1 + 1 + 1).

However, the partitioning of number that can be used within area-based models is absent, and instead, his own long multiplication column model is placed within the grid.

This means finding all the possible partitions of number r into up to min{n,r} positive terms not greater than h.

The aggregation of bivalents into association clusters, labeled by their size, induces naturally a configuration space in which every partition of the number of autosomal bivalents appear as a possible candidate to be observed under microscopy.

Binomial partitioning of low numbers of vesicles (typically <30) leads to a wide range of inherited dose as the variance in binomial trials is proportional to √ n.

They include a description of the optimal partition: number of clusters, value of the index used and the assignment of nodes to each cluster.

At the moment of partition the number of Jews had risen to some 35 percent of the total population of Palestine, and they were faced with Arab League forces totaling 40,000 men.

Comparison of the partition numbers of simulations related to the laboratory screens with those available in the literature demonstrates a good agreement which validates the DEM simulations and the used software.

Quite interestingly, similar trends observed from previous experiments with respect to orientation of partition and number of regions remain valid in the MKL framework.

Fig. 7 a r Results of sex estimation based on orientation of region partition and number of regions.

Fig. 8 a r Results of sex estimation based on orientation of region partition and number of regions using KSVD.