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Two results concerning the number of threshold functions $P(2, n)$ and the probability ${\mathbb P}_n$ that a random $n\times n$ Bernoulli matrix is singular are established.
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1988
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Yu. A. Zuev, Asymptotics of the logarithm of the number of threshold functions of the algebra of logic,
1989
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A. A. Irmatov, On the number of threshold functions,
1993
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P. Baldi and R. Vershinin, Polynomial Threshold Functions, Hyperplane Arrangements, and Random Tensors,
2019
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K. Tikhomirov, Singularity of random Bernoulli matrices,
2020
Closest in time.