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INTEGRAL POINTS ON CONGRUENT NUMBER CURVES
International Journal of Number Theory, 2013We provide a precise description of the integer points on elliptic curves of the shape y2 = x3 - N2x, where N = 2apb for prime p. By way of example, if p ≡ ±3 (mod 8) and p > 29, we show that all such points necessarily have y = 0. Our proofs rely upon lower bounds for linear forms in logarithms, a variety of old and new results on quartic and ...
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Elliptic Curves with a Given Number of Points
2004We present a non-archimedean method to construct, given an integer N≥1, a finite field F q and an elliptic curve E/F q such that E(F q ) has order N.
Reinier Bröker, Peter Stevenhagen
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THE CURVE OF FLUCTUATION IN MENTAL OUTPUT AND THE CURVE OF NUMBERS OF FACTORS IN THE NATURAL NUMBERS
British Journal of Psychology. General Section, 1949openaire +2 more sources
The use of the area under the ROC curve in the evaluation of machine learning algorithms
Pattern Recognition, 1997Andrew P Bradley
exaly
A new curve detection method: Randomized Hough transform (RHT)
Pattern Recognition Letters, 1990Lei Xu, Erkki Oja
exaly
Trace inference, curvature consistency, and curve detection
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1989S W Zucker
exaly