Titlebook: Glycoscience; Chemistry and Chemic Bertram O. Fraser-Reid,Kuniaki Tatsuta,Joachim Thi Reference work 2008Latest edition The Editor(s) (if a

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On Basing Size-Verifiable One-Way Functions on NP-HardnessWe prove that if the hardness of inverting a size-verifiable one-way function can be based on NP-hardness via a general (adaptive) reduction, then NP ⊆ coAM. This claim was made by Akavia, Goldreich, Goldwasser, and Moshkovitz (STOC 2006), but was later retracted (STOC 2010).

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Leveraging Linear Decryption: Rate-1 Fully-Homomorphic Encryption and Time-Lock Puzzles,We show how to combine a fully-homomorphic encryption scheme with linear decryption and a linearly-homomorphic encryption schemes to obtain constructions with new properties. Specifically, we present the following new results.

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Confidence Intervals and Comparison Tests,Estimation and testing of hypothesis are two components of statistical inference.

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Descriptive Statistics,This chapter presents some basic concepts related to data description and graphical representation using R, but these concepts are not an alternative for proper training in statistics. For a statistical novice, a lot of books on statistics are available.

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Classical Verification of Quantum Computations with Efficient Verifier,In this paper, we extend the protocol of classical verification of quantum computations (CVQC) recently proposed by Mahadev to make the verification efficient. Our result is obtained in the following three steps:

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