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An algorithm of the ensemble pulsar time based on the Wiener filtration method has been constructed. This algorithm has allowed the separation of the contributions of an atomic clock and a pulsar itself to the post-fit pulsar timing…

Astrophysics · Physics 2007-05-23 Alexander Rodin

The problem of the Nature of Time is twofold: whether or not time is a fundamental quantity of Nature, and how does clock time of metrology emerge in the experimental description of dynamics. This work strongly supports the fundamental…

Classical Physics · Physics 2013-11-05 Enrico Prati

In the paper, elements of the system theory of time are presented, mathematical models for time are constructed, and various properties are deduced from the main principles of the system theory of time. This theory is a far-reaching…

General Physics · Physics 2007-05-23 Mark Burgin

We propose and test an iterative technique for improving the temporal focusing of a time reversal mirror. A single amplification parameter is introduced to tune the convergence of the iteration. The tunable iterative technique is validated…

Chaotic Dynamics · Physics 2011-10-25 Biniyam Tesfaye Taddese , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

With disks and networks providing gigabytes per second, parsing decimal numbers from strings becomes a bottleneck. We consider the problem of parsing decimal numbers to the nearest binary floating-point value. The general problem requires…

Data Structures and Algorithms · Computer Science 2022-11-07 Daniel Lemire

The clock synchronization problem is to determine the time difference T between two spatially separated parties. We improve on I. Chuang's quantum clock synchronization algorithm and show that it is possible to obtain T to n bits of…

Computational Complexity · Computer Science 2007-05-23 Chris Harrelson , Iordanis Kerenidis

Logical clocks are a fundamental tool to establish causal ordering of events in a distributed system. They have been applied in weakly consistent storage systems, causally ordered broadcast, distributed snapshots, deadlock detection, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-14 Guangda Sun , Tianyang Tao , Yanpei Guo , Michael Yiqing Hu , Jialin Li

Many consensus string problems are based on Hamming distance. We replace Hamming distance by the more flexible (e.g., easily coping with different input string lengths) dynamic time warping distance, best known from applications in time…

Discrete Mathematics · Computer Science 2020-02-05 Nathan Schaar , Vincent Froese , Rolf Niedermeier

This work focuses on the generation of a composite clock for time scales and shows the advantages of a more recent digital approach with respect to a traditional analog one. A digital approach directly processes the information contained…

Instrumentation and Detectors · Physics 2023-07-11 Claudio E. Calosso

Tasks that one wishes to have done by a computer often come with conditions that relate to timescales. For instance, the processing must terminate within a given time limit; or a signal processing computer must integrate input information…

Emerging Technologies · Computer Science 2023-01-20 Herbert Jaeger , Francky Catthoor

We study some limit theorems for the law of a generalized one-dimensional diffusion weighted and normalized by a non-negative function of the local time evaluated at a parametrized family of random times (which we will call a clock). As the…

Probability · Mathematics 2018-02-19 Christophe Profeta , Kouji Yano , Yuko Yano

In the random deletion channel, each bit is deleted independently with probability $p$. For the random deletion channel, the existence of codes of rate $(1-p)/9$, and thus bounded away from $0$ for any $p < 1$, has been known. We give an…

Information Theory · Computer Science 2019-06-13 Venkatesan Guruswami , Ray Li

A dual approach to defining the triangle sequence (a type of multidimensional continued fraction algorithm, initially developed in NT/9906016) for a pair of real numbers is presented, providing a new, clean geometric interpretation of the…

Number Theory · Mathematics 2007-05-23 S. Assaf , L. Chen , T. Cheslack-Postava , B. Cooper , A. Diesl , T. Garrity , M. Lepinski , A. Schuyler

We introduce a general notion of fractional (noninteger) derivative for functions defined on arbitrary time scales. The basic tools for the time-scale fractional calculus (fractional differentiation and fractional integration) are then…

Classical Analysis and ODEs · Mathematics 2014-12-05 Nadia Benkhettou , Artur M. C. Brito da Cruz , Delfim F. M. Torres

There are a number of problematic features within the current treatment of time in physical theories, including the "timelessness" of the Universe as encapsulated by the Wheeler-DeWitt equation. This paper considers one particular…

Quantum Physics · Physics 2018-01-17 K. L. H. Bryan , A. J. M. Medved

An algorith to count, or alternatively generate, all k-element transversals of a set system is presented and compared with three known methods. For special cases it works in output-linear time.

Discrete Mathematics · Computer Science 2017-03-01 Marcel Wild

For every fixed $d \in \mathbb{N}$, we design a data structure that represents a binary $n \times n$ matrix that is $d$-twin-ordered. The data structure occupies $O_d(n)$ bits, which is the least one could hope for, and can be queried for…

Data Structures and Algorithms · Computer Science 2021-10-18 Michał Pilipczuk , Marek Sokołowski , Anna Zych-Pawlewicz

In this paper, a digital clock is designed where the microcontroller is used for timing controller and the font of the Bangla digits are designed, and programmed within the microcontroller. The design is cost effective, simple and easy for…

Hardware Architecture · Computer Science 2012-08-07 Nasif Muslim , Md. Tanvir Adnan , Mohammad Zahidul Kabir , Md. Humayun Kabir , Sheikh Mominul Islam

Time and its lack of play a central role in our everyday lives. Despite increasing productivity, many people experience time stress, exhaustion and a longing for time affluence, and at the same time, a fear of not being busy enough. All…

Human-Computer Interaction · Computer Science 2020-04-15 Sarah Janboecke , Alina Gawlitta , Judith Doerrenbaecher , Marc Hassenzahl

We present numerical simulations of binary black hole systems which for the first time last for about one orbital period for close but still separate black holes as indicated by the absence of a common apparent horizon. An important part of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernd Bruegmann , Wolfgang Tichy , Nina Jansen
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