Despite being one of the most important theorems of engineering, at undergraduate level the foundations of sampling theorem are usually oversimplified, whereas at graduate level its proof is frequently presented in the context of a rigorous mathematical framework. This paper presents an interactive ...
Tweedie showed that the sampling distributions of the MLE''s for the parameters of an inverse Gaussian distribution were independent inverse Gaussian and chi-squared distributions. His proof, however, requires substantial mathematical machinery, for example, Laplace transforms, Lerch''s theorem, or ...
A PROOF OF MENGER´S THEOREM:Menger定理的一个证明 热度: Unified fractional fourier transform and sampling theorem - :统一的分数傅里叶变换和采样定理— 热度: A Strong Hot Spot Theorem(一个强热点定理) 热度: Discrete Mathematics 338 (2015) 272–273 ...
Ouroboros: A Provably Secure Proof-of-Stake Blockchain Protocol Aggelos Kiayias1(B), Alexander Russell2, Bernardo David3, and Roman Oliynykov4 1 University of Edinburgh and IOHK, Edinburgh, UK akiayias@inf.ed.ac.uk 2 University of Connecticut, Storrs, CT, USA acr@cse.uconn.edu 3 Tokyo ...
A hash proof system (HPS) is a form of implicit proof of membership to a language. Out of the very few existing post-quantum HPS, most are based on languages of ciphertexts of code-based or lattice-based cryptosystems and inherently suffer from a gap caused by the possibility for an ill...
We also demonstrate the clinical values of synthetic PET in improving lung cancer diagnosis, staging, risk prediction, and prognosis. Taken together, this proof-of-concept study testifies to the feasibility of applying deep learning to obtain high-fidelity PET translated from CT. Graphical abstract ...
In this section, firstly, we prove the confidentiality (namely, indistinguishable security) and authentication of the SKKE protocol, namely, Theorem 1 and Theorem 2. In the random Oracle model, we reduce the confidentiality to the collision of hash function and HMAC function and the indistinguish...
Chair:Lukas Sekanina, Brno University of Technology, CZ Co-Chair:Andy Tyrrell, University of York, GB Stochastic and approximate computing is an approach developed to improve energy efficiency of computer hardware. First paper presents a framework for quantifying and managing accuracy in stochastic cir...
We present “Ouroboros”, the first blockchain protocol based on proof of stake with rigorous security guarantees. We establish security properties for the protocol comparable to those achieved by the bitcoin blockchain protocol. As the protocol provides
Proof Sketch.Similarly to security proofs of PKE schemes constructed from a normal HPS, we prove Theorem5by first altering the way in which the challenge ciphertext is generated, i.e., a challenge ciphertext\(CT^*=(C^*,\,\varPsi ^*,\,rand^*)\)s.t.\(C^* \notin \mathcal {V}...