Efficient implementation and the product-state representation of numbers (original) (raw)

The Representation of Numbers in Quantum Mechanics 1

Paul Benioff

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The Representation of Numbers in Quantum Mechanics

Paul Benioff

Algorithmica, 2002

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Effects on Quantum Physics of the Local Availability of Mathematics and Space Time Dependent Scaling Factors for Number Systems

Paul Benioff

Advances in Quantum Theory, 2012

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A Refinement on the Theory of Number System and its Scale of Notation with a Model of Extension to Higher Dimension

SANTANU KUMAR PATRO

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Representation of natural numbers in quantum mechanics

Paul Benioff

Physical Review A, 2001

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The Representation of Numbers by States in Quantum Mechanics

Paul Benioff

Quantum Communication, Computing, and Measurement 3, 2002

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Philosophy of Arithmetic

Melisa Vivanco

Melisa Vivanco, 2023

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Numeric Representation and the Boundary of Pure and Applied Mathematics

Donald Palmer

Joint Mathematics Meeting: POMSIGMAA Contributed Paper Session; Thursday, January 17, Baltimore Convention Center 1145-L5-1642, 2019

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Perspex Machine VIII: Axioms of Transreal Arithmetic

Andrew Adams

2007

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The Relationship of Arithmetic As Two Twin Peano Arithmetic(s) and Set Theory: A New Glance From the Theory of Information

Vasil Penchev

Social Science Research Network, 2020

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The Formalization of The Arithmetic System on The Ground of The Atomic Logic

Teodor J Stepien, Lukasz T Stepien

The Formalization of The Arithmetic System on The Ground of The Atomic Logic, 2015

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On the impossibility to add and multiply

Giangiacomo GERLA

2015

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Computability, Notation, and de re Knowledge of Numbers

Richard Samuels

Philosophies, 2022

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ON COMPUTABLE NUMBERS, WITH AN APPLICATION TO THE ENTSCHEIDUNGSPROBLEM

Murloc Guy

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On Axiomatizability of the Multiplicative Theory of Numbers

Saeed Salehi

2018

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Numbers as Properties (Accepted Manuscript)

Melisa Vivanco

Synthese, 2023

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Computer Representation of Numbers and Computer Arithmetic

Amit Dey

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Arithmetic Operations and Physical Quantities

Edward T . H . Wu

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Number Systems

Anthony Kay

2021

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Introduction to the papers of TWG 02 : Arithmetic and number systems

Lisser Rye Ejersbo

2019

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PRELIMINARIES TO A THEORY OF CONCRETE NUMBERS

Sebastian Hayes

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Theories of arithmetics in finite models

Konrad Zdanowski

The Journal of Symbolic Logic, 2005

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A second philosophy of arithmetic

Penelope Maddy

Review of Symbolic Logic, 2014

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The Algebraic Structure of Physical Quantities

Sergio Aragon

Journal of Mathematical Chemistry, 2000

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Arithmetical definability and computational complexity

Hachaichi Yassine

Theoretical Computer Science, 2004

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Are There Parts of Our Arithmetical Competence that No Sound Formal System Can Duplicate

Bhupinder Singh Anand

Social Science Research Network, 2003

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A General Theory of Number Cardinality

Joseph Willrich Lutalo

FigShare, 2024

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Technical Report No. 2015-625 ON COMPUTABLE NUMBERS, NONUNIVERSALITY, AND THE GENUINE POWER OF PARALLELISM

Nancy Salay

2015

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Strengths and weaknesses of LH arithmetic

Randall Pruim

2003

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On one number-theoretic conception: towards a new theory

Armen Bagdasaryan

2009

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Completeness theorems, incompleteness theorems and models of arithmetic

Ken McAloon

Transactions of the American Mathematical Society, 1978

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On the Consistency of the Arithmetic System

Lukasz T Stepien

2017

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The principle of constructive mathematizability of any theory: A sketch of formal proof by the model of reality formalized arithmetically

Vasil Penchev

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Representation of Numbers and Performance of Arithmetic in Digital Computers

Dr. Charles Abzug

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