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In 1837, the first computer program in history was sketched by the renowned mathematician and inventor Charles Babbage. It was a program for the Analytical Engine. The program consists of a sequence of arithmetical operations and the…

General Literature · Computer Science 2023-03-27 Raúl Rojas

This chapter makes needed corrections to an unduly negative scholarly view of Ada Lovelace. Credit between Lovelace and Babbage is not a zero-sum game, where any credit added to Lovelace somehow detracts from Babbage. Ample evidence…

History and Overview · Mathematics 2023-01-10 Thomas J. Misa

The development of new superconducting circuits and the improvement of existing ones rely on the accurate modeling of spectral properties which are key to achieving the needed advances in qubit performance. Systematic circuit analysis at…

Quantum Physics · Physics 2023-02-07 Sai Pavan Chitta , Tianpu Zhao , Ziwen Huang , Ian Mondragon-Shem , Jens Koch

This paper takes the reader on a journey through the history of Bayesian computation, from the 18th century to the present day. Beginning with the one-dimensional integral first confronted by Bayes in 1763, we highlight the key…

Computation · Statistics 2023-03-28 Gael M. Martin , David T. Frazier , Christian P. Robert

This paper shows that the programming model of Babbage's Analytical Engine, although unconventional, can be harnessed in order to simulate indirect addressing, a capability that was not included in the original instruction set. That is, in…

Logic in Computer Science · Computer Science 2024-08-08 Raul Rojas

Incomputability as a mathematical notion arose from work of Alan Turing and Alonzo Church in the 1930s. Like Turing himself, it attracted less attention than it deserved beyond the confines of mathematics. Today our experiences in computer…

History and Overview · Mathematics 2013-04-24 S. Barry Cooper

Ich m\"ochte in diesem Bericht algorithmische Methoden vorstellen, die im wesentlichen in diesem Jahrzehnt Einzug in die Computeralgebra gefunden haben. Die haupts\"achlichen Ideen gehen auf Stanley \cite{Sta} und Zeilberger…

Classical Analysis and ODEs · Mathematics 2009-09-25 Wolfram Koepf

Turing's (1936) paper on computable numbers has played its role in underpinning different perspectives on the world of information. On the one hand, it encourages a digital ontology, with a perceived flatness of computational structure…

Logic · Mathematics 2015-06-23 S. Barry Cooper

The digital age introduced the Digital Ecological Niche (DEN), revolutionizing human interactions. The advent of Digital History (DHy) has marked a methodological shift in historical studies, tracing its roots to Babbage and Lovelace's…

Computers and Society · Computer Science 2024-03-07 Salvatore Spina

Charles Babbage's vision of computing has largely been realized. We are on the verge of realizing Vannevar Bush's Memex. But, we are some distance from passing the Turing Test. These three visions and their associated problems have provided…

General Literature · Computer Science 2007-05-23 Jim Gray

The driving force in the pursuit for quantum computation is the exciting possibility that quantum algorithms can be more efficient than their classical analogues. Research on the subject has unraveled several aspects of how that can happen.…

Quantum Physics · Physics 2011-09-15 Apoorva Patel

There exist quantum algorithms that are more efficient than their classical counterparts; such algorithms were invented by Shor in 1994 and then Grover in 1996. A lack of invention since Grover's algorithm has been commonly attributed to…

Quantum Physics · Physics 2007-08-27 Adrian Gepp , Phil Stocks

The history of the development of Monte Carlo methods to solve the many-body problem in quantum mechanics is presented. The survey starts with the early attempts with the first available computers just after the war and extends until the…

History and Philosophy of Physics · Physics 2021-06-30 Michel Mareschal

Major breakthrough in quantum computation has recently been achieved using quantum annealing to develop analog quantum computers instead of gate based computers. After a short introduction to quantum computation, we retrace very briefly the…

History and Philosophy of Physics · Physics 2013-12-02 Asim Ghosh , Sudip Mukherjee

The last century saw dramatic challenges to the Laplacian predictability which had underpinned scientific research for around 300 years. Basic to this was Alan Turing's 1936 discovery (along with Alonzo Church) of the existence of…

Logic · Mathematics 2012-06-11 S. Barry Cooper

While several paths have emerged in microelectronics and computing as follow-ons to Turing architectures, and have been implemented using essentially silicon circuits, very little beyond Moore research has considered: (1) first biological…

Emerging Technologies · Computer Science 2016-09-27 P. N. Borza , L-F Pau

The principle goal of computational mechanics is to define pattern and structure so that the organization of complex systems can be detected and quantified. Computational mechanics developed from efforts in the 1970s and early 1980s to…

Statistical Mechanics · Physics 2017-10-19 James P. Crutchfield

This paper looks at Turing's postulations about Artificial Intelligence in his paper 'Computing Machinery and Intelligence', published in 1950. It notes how accurate they were and how relevant they still are today. This paper notes the…

Artificial Intelligence · Computer Science 2014-03-12 Kieran Greer

We discuss the legacy of Alan Turing and his impact on computability and analysis.

Logic · Mathematics 2018-12-10 Jeremy Avigad , Vasco Brattka

One of the main uses of computers is to do statistical analysis of data. But, so far, the theory of statistics, and its noble mother, Probability theory, were all discovered and developed by lowly humans. No more! Computers can also develop…

Probability · Mathematics 2010-09-16 Doron Zeilberger
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