1 citations · 1 across the 5 of their papers we have counts for
5 papers
Two eggs any style -- generalizing egg-drop experiments
Harold R. Parks, Dean C. Wills
The egg-drop experiment introduced by Konhauser, Velleman, and Wagon, later generalized by Boardman, is further generalized to two additional types. The three separate types of egg…
An Elementary Proof of the Generalization of the Binet Formula for -bonacci Numbers
Harold R. Parks, Dean C. Wills
We present an elementary proof of the generalization of the -bonacci Binet formula, a closed form calculation of the -bonacci numbers using the roots of the characteristic po…
Sums of -bonacci Numbers
Harold R. Parks, Dean C. Wills
We give a combinatorial proof of a formula giving the partial sums of the -bonacci sequence as alternating sums of powers of two multiplied by binomial coefficients. As a coroll…
Explicit Determination in of -Dimensional Area Minimizing Surfaces with Arbitrary Boundaries
Harold R. Parks, Jon T. Pitts
Let be an integer and be a smooth, compact, oriented, -dimensional boundary in . In 1960, H. Federer and W. Fleming proved that there is an …
The Lagrange inversion theorem in the smooth case
Steven G. Krantz, Harold R. Parks
The authors study the classical Lagrange inversion theorem--an antecedent of the modern implicit function theorem--in the smooth case. Examples are given to show that the result is…