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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Supercongruences involving Motzkin numbers and central trinomial coefficients
莫茨金数 中心三项式系数 超同余
2023/4/21
In this talk, we investigate congruence properties for Motzkin numbers and central trinomial coefficients. Let M_n and T_n denote the nth Motzkin number and the nth central trinomial coefficient respe...
When it comes to toxic microbial warfare, the stronger microbe does not always win.
'By-the-wind sailor' jellies wash ashore in massive numbers after warmer winters（图）
By-the-wind sailor jellies wash ashore massive numbers warmer winters
2021/4/9
As their name suggests, by-the-wind sailor jellyfish know how to catch a breeze. Using a stiff, translucent sail propped an inch above the surface of the ocean, these teacup-sized organisms skim along...
Numerical Methods for Comparison on Homomorphically Encrypted Numbers
Homomorphic Encryption Comparison Min/Max
2019/4/25
We propose a new method to compare numbers which are encrypted by Homomorphic Encryption (HE). Previously, comparison and min/max functions were evaluated using Boolean functions where input numbers a...
Fully homomorphic encryption modulo Fermat numbers
public-key cryptography Fully Homomorphic Encryption
2019/3/1
In this paper, we recast state-of-the-art constructions for fully homomorphic encryption in the simple language of arithmetic modulo large Fermat numbers. The techniques used to construct our scheme a...
Safety in Numbers: On the Need for Robust Diffie-Hellman Parameter Validation
Primality testing Miller-Rabin test Diffie-Hellman
2019/1/18
We consider the problem of constructing Diffie-Hellman (DH) parameters which pass standard approaches to parameter validation but for which the Discrete Logarithm Problem (DLP) is relatively easy to s...
云南师范大学商学院英语阅读课件 Numbers and Omens。
Efficient Parallel Binary Operations on Homomorphic Encrypted Real Numbers
implementation homomorphic encryption
2018/3/5
A number of homomorphic encryption application areas, such as privacy-preserving machine learning analysis in the cloud, could be better enabled if there existed a general solution for combining suffi...
Scientists Get Better Numbers On What Happens When Electrons Get Wet（图）
Scientists Better Numbers Electrons Get Wet
2018/2/1
There’s a particular set of chemical reactions that governs many of the processes around us—everything from bridges corroding in water to your breakfast breaking down in your gut. One crucial part of ...
Introductory Workshop:Enumerative Geometry Beyond Numbers
Introductory Workshop Enumerative Geometry Beyond Numbers
2017/12/20
This workshop will consist of expository mini-courses and lectures introducing various aspects of modern enumerative geometry, among which: enumeration via intersection theory on moduli spaces of curv...
(Finite) Field Work: Choosing the Best Encoding of Numbers for FHE Computation
Fully Homomorphic Encryption FHE Encoding
2017/6/22
Fully Homomorphic Encryption (FHE) schemes are a powerful tool that allows arbitrary computations on encrypted data. This makes them a promising tool for a variety of use cases that require outsourcin...
A New Public-Key Cryptosystem via Mersenne Numbers
public-key cryptosystem Public-Key Cryptosystem via Mersenne Numbers
2017/5/31
In this work, we propose a new public-key cryptosystem whose security is based on the computational intractability of the following problem: Given a Mersenne number p = 2^n - 1, where n is a prime, a ...
Condition on composite numbers easily factored with elliptic curve method
factoring number theory RSA
2017/5/12
For a composite integer NN that we would like to factor, we consider a condition for the elliptic curve method using NN as a scalar value to succeed and show that if NN has a prime factor pp such that...
昆明理工大学理学院概率论与数理统计课件Chapter 5 The Law of Large Numbers and the Central Limit Theorem--The Central Limit Theorem
昆明理工大学理学院 概率论与数理统计 课件 Chapter 5 The Law of Large Numbers and the Central Limit Theorem The Central Limit Theorem
2017/4/17
昆明理工大学理学院概率论与数理统计课件Chapter 5 The Law of Large Numbers and the Central Limit Theorem--The Central Limit Theorem.
昆明理工大学理学院概率论与数理统计课件Chapter 5 The Law of Large Numbers and the Central Limit Theorem--Law of Large numbers
昆明理工大学理学院 概率论与数理统计 课件 Chapter 5 The Law of Large Numbers and the Central Limit Theorem Law of Large numbers
2017/4/17
昆明理工大学理学院概率论与数理统计课件Chapter 5 The Law of Large Numbers and the Central Limit Theorem--Law of Large numbers.