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On Compact Wavelet Matrices of Rank(m)and of Order and Degree(N)

✍ Scribed by Ephremidze, Lasha; Lagvilava, Edem


Book ID
121547236
Publisher
SP Birkhäuser Verlag Boston
Year
2014
Tongue
English
Weight
431 KB
Volume
20
Category
Article
ISSN
1069-5869

No coin nor oath required. For personal study only.


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✍ C. Cooper 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 209 KB 👁 2 views

Let M = m ij be a random n × n matrix over GF(2). Each matrix entry m ij is independently and identically distributed, with Pr m ij = 0 = 1 -p n and Pr m ij = 1 = p n . The probability that the matrix M is nonsingular tends to c 2 ≈ 0 28879 provided min p 1 -p ≥ log n + d n /n for any d n → ∞. Sharp

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