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Publications Influence

Bell and Stirling Numbers for Graphs

- Bryce Duncan, Parker Hall, R. Peele
- Mathematics
- 2009

The Bell number B(G) of a simple graph G is the number of partitions of its vertex set whose blocks are independent sets of G. The number of these partitions with k blocks is the (graphical) Stirling… Expand

22 2- PDF

The ENDF/B-VI Neutron Cross Section Measurement Standards, National Institute of Standards and Technology

- A. Carlson, W. Poenitz, +4 authors W. Mannhart
- Physics
- 1993

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Hausdorff Dimension in Pascal’s Triangle

- Daniel E. Flath, R. Peele
- Mathematics
- 1993

One of the easiest and best known ways to generate a self-similar fractal pattern is to view from an infinite distance the set of lattice points (m, k) for which ( m k ) is odd. More generally, one… Expand

3 1

Matrix Powers of Column-Justified Pascal Triangles and Fibonacci Sequences

- R. Peele, P. Stănică
- Mathematics
- 18 October 2000

If L, respectively R are matrices with entries binom{i-1,j-1}, respectively binom{i-1,n-j}, it is known that L^2 = I (mod 2), respectively R^3 = I (mod 2), where I is the identity matrix of dimension… Expand

6 1- PDF

On finite partition representations of lattices

- R. Peele
- Computer Science, Mathematics
- Discret. Math.
- 1982

TLDR

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Some Counting Problems Involving the Multinomial Expansion

One of the loveliest and most surprising results of elementary number theory is Kummer's carry theorem. In the generalized form in which we will apply it, it says that for any nonnegative integers… Expand

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ENERGY AND ANGULAR DISTRIBUTION OF GAMMA RADIATION FROM A Co$sup 60$ SOURCE AFTER DIFFUSION THROUGH MANY MEAN FREE PATHS OF WATER

- R. Peele, F. Maienschein, T. A. Love
- Physics
- 1 September 1957

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Fractal patterns derived from rational binomial coefficients

- Daniel E. Flath, R. Peele
- Mathematics
- 1993

It is known (e.g., [11]) that for p prime and e ∈ ℤ ≥, the array of integer lattice points (x,y) such that 0 ≤ y ≤ x and (x y) is exactly divisible by p e , takes on a fractal-like appearance when… Expand

1

N ov 2 00 0 Spectral Properties of a Binomial Matrix

- P. Stănică, R. Peele
- 2008

(matrix Rn) and derived many interesting results on powers of these matrices. In [5], the author found that the same is true for a much larger class of what he called netted matrices, namely matrices… Expand

A Carry Theorem for Rational Binomial Coefficients

- Daniel E. Flath, R. Peele
- Mathematics
- 1991

Ernst Eduard Kummer proved in 1852 that for any nonnegative integers j and k and any prime p, the exponent of the highest power of p that divides the binomial coefficient \( \begin{array}{*{20}{c}}… Expand

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