Powerful numbers in the product of consecutive integer values of a polynomial

2019 ◽  
Vol 94 (3-4) ◽  
pp. 319-336 ◽  
Author(s):  
Pallab Kanti Dey ◽  
Shanta Laishram
Keyword(s):  
Consecutive Integer ◽  
Powerful Numbers

Occurrences of Consecutive Odd Powerful Numbers

1981 ◽  
Vol 88 (4) ◽  
pp. 272 ◽  
Author(s):  
W. A. Sentance
Keyword(s):  
Powerful Numbers

scholarly journals Powerful numbers: Exemplary quantitative studies of science that had policy impact

2020 ◽  
Vol 1 (3) ◽  
pp. 969-982 ◽  
Author(s):  
Diana Hicks ◽  
Kimberley R. Isett
Keyword(s):  
Health Services ◽  
Policy Making ◽  
Academic Research ◽  
Lessons Learned ◽  
Policy Impact ◽  
Quantitative Studies ◽  
Key Dimensions ◽  
Powerful Numbers

Much scientometric research aims to be relevant to policy, but such research only rarely has a notable policy impact. In this paper, we examine four exemplary cases of policy impact from quantitative studies of science. The cases are analyzed in light of lessons learned about the use of evidence in policy making in health services, which provides very thorough explorations of the problems inherent in policy use of academic research. The analysis highlights key dimensions of the examples, which offer lessons for those aspiring to influence policy with quantitative studies of science.

scholarly journals Some computational results on a problem concerning powerful numbers

1988 ◽  
Vol 50 (182) ◽  
pp. 619-619 ◽  
Author(s):  
A. J. Stephens ◽  
H. C. Williams
Keyword(s):  
Computational Results ◽  
Powerful Numbers

The Consecutive Integer Game

2002 ◽  
Vol 75 (2) ◽  
pp. 123-129
Author(s):  
David M. Clark
Keyword(s):  
Consecutive Integer

scholarly journals Powerful numbers in (1k+1)(2k+1)⋯(nk+1)

2012 ◽  
Vol 132 (11) ◽  
pp. 2630-2635 ◽  
Author(s):  
Wenpeng Zhang ◽  
Tingting Wang
Keyword(s):  
Powerful Numbers

Powerful Numbers

1969 ◽  
Vol 53 (385) ◽  
pp. 273-273
Author(s):  
E. A. M.
Keyword(s):  
Powerful Numbers

scholarly journals Powerful numbers in (1 ℓ + q ℓ )(2 ℓ + q ℓ )⋯( n ℓ + q ℓ )

2018 ◽  
Vol 356 (1) ◽  
pp. 13-16
Author(s):  
Quan-Hui Yang ◽  
Qing-Qing Zhao
Keyword(s):  
Powerful Numbers

scholarly journals Antibandwidth of a Graph

2012 ◽  
Vol 11 (4) ◽  
pp. 59-64
Author(s):  
Aditya Shastry ◽  
Nidhi Khandelwal
Keyword(s):  
Np Hard ◽  
Consecutive Integer ◽  
Connected Graphs ◽  
Integer Points ◽  
Exterior Boundary ◽  
Interior Boundary

The antibandwidth problem consists of placing the vertices of a graph on a line in consecutive integer points in such a way that the minimum difference of adjacent vertices is maximized. This problem is NP- hard. In this paper, we find some bounds for antibandwidth using some invariants of graphs. We prove that considerating the interior boundary and the exterior boundary when estimating the antibandwidth of connected graphs gives the same results.

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