International Journal of Mathematics Trends and Technology
Volume 52 | Number 9 | Year 2017 | Article Id. IJMTT-V52P584 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P584
This paper deals with a new metric named “Frequency Metric” defined in the space Fn 2 of binary sequences of length n. We show that the frequency metric can be “generated” by a par- ticular “basis” of Fn 2 . Procedures to construct all “frequency classes” and an “orbit” (ie. the set of all binary sequences at a given frequency distance from any given fixed binary sequence) are obtained.
[1] M.Bodner,Y.D.Zhou,J.M.Fuster, “High-Frequency Transitions in Cortical Spike Trains Related to Short-term memory ”, Neuroscience, vol.86, no.4, pp.1083 - 1087, 1998.
[2] Ernst M.Gabidulin, Jurian Si- monis, “Metrics Generated by Fami- lies of Subspaces ” IEEE Trans.on In- formation theory, vol.44, no.3, May 1998.
[3] Erwin Kreyszig, “Introductory Functional Analysis with Applica- tions ”, John Wiley and Sons.
[4] A.C.C. Yang., etal., “Linguistic Analysis of the Human heart rate us- ing Frequency and Rank order statis- tics ” Physical Review Letters, vol.90, 108103 (2003).
[5] Alexander Kraskov., etal., “Comment on ”Linguistic Analysis of the Human heart rate using Fre- quency and Rank order statistics ”” Physical Review Letters, vol.92, no.10 (2004).
[6] Monika, Dr.Ranjeet Singh, “Primitive Idempotents of Abelian Codes of length 4pnqm ”” Interna- tional Journal of Mathematics Trends and Technology, vol.35 no.3 (July, 2016).
N.Suresh Babu, "Frequency Metric in Binary Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 9, pp. 590-595, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P584
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