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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...
Alternative Implementations of Secure Real Numbers
Secure fixed- and floating-point arithmetic privacy-preserving data analysis secure computations
2016/12/10
This paper extends the choice available for secure real number implementations with two new contributions. We will consider the numbers represented in form a−φba−φb where φφ is the golden ...
Transformation-Based Outsourcing of Linear Equation Systems over Real Numbers
matrices over real numbers affine transformations
2015/12/31
This paper studies the possibility of achieving indistinguishabilitybased
security in privately outsourcing linear equation systems over real numbers.
The particular task is to solve a full-rank n ×...
FORCING AXIOMS AND THE CONTINUUM HYPOTHESIS,PART II:TRANSCENDING ω1-SEQUENCES OF REAL NUMBERS
FORCING AXIOMS CONTINUUM HYPOTHESIS TRANSCENDING ω1-SEQUENCES OF REAL NUMBERS
2015/8/17
The purpose of this article is to prove that the forcing axiom for completely proper forcings is inconsistent with the Continuum Hypothesis. This answers a longstanding problem of Shelah.
On fractional parts of powers of real numbers close to 1
fractional parts of powers real numbers close to 1
2010/12/10
We prove that there exist arbitrarily small positive real num-bers " such that every integral power (1 + ")n is at a distance greater than 2−17"| log "|−1 to the set of rational integers. ...
The causal story of the double slit experiment in quantum real numbers.
Quantum reality ontological vs epistemological conditions of quantum particles
2008/4/21
A causal story of the double slit experiment for a massive scalar particle is told using quantum real numbers as the numerical values of the position and momentum of the particle. The quantum real num...
Near Ultrafilters and Luc-Compactification of Real Numbers
Near Ultrafilters Luc-Compactification Real Numbers
2010/3/5
In this work we will investigate some of the topological properties of the Luc compactification of real numbers R in terms of the concept of near ultrafilters.