Search

Results: 78841
Formalising Mathematics – in Praxis; A Mathematician’s First Experiences with Isabelle/HOL and the Why and How of Getting Started
A Koutsoukou-Argyraki
Oct 06, 2021
AbstractThis is an account of a mathematician’s first experiences with the proof assistant (interactive theorem prover) Isabelle/HOL, including a discussion on the rationale behind formalising...
Certified Quantum Computation in Isabelle/HOL
Abstract: In this article we present an ongoing effort to formalise quantum algorithms and results in quantum information theory using the proof assistant Isabelle/HOL. Formal methods being critical for the safety and security...
From LCF to Isabelle/HOL
LC PAULSON, T Nipkow, M Wenzel
Sep 01, 2020
Interactive theorem provers have developed dramatically over the past four decades, from primitive beginnings to today's powerful systems. Here, we focus on Isabelle/HOL and its distinctive strengths. They include automatic...
Capillary-scale solid rebounds

A millimetre-size superhydrophobic sphere impacting on the free surface of a quiescent bath can be propelled back into the air by capillary effects and dynamic fluid forces, whilst transferring part of its energy to the...

An Isabelle/HOL formalisation of Green’s theorem
M Abdulaziz, LC PAULSON
Feb 08, 2017
We formalise a statement of Green’s theorem in Isabelle/ HOL, which is its first formalisation to our knowledge. The theorem statement that we formalise is enough for most applications, especially in physics and engineering. An...
Formalising Mathematics – in Praxis; A Mathematician’s First Experiences with Isabelle/HOL and the Why and How of Getting Started
Abstract: This is an account of a mathematician’s first experiences with the proof assistant (interactive theorem prover) Isabelle/HOL, including a discussion on the rationale behind formalising mathematics and the choice of...
Capillary-scale solid rebounds

A millimetre-size superhydrophobic sphere impacting on the free surface of a quiescent bath can be propelled back into the air by capillary effects and dynamic fluid forces, whilst transferring part of its energy to the...

Formalising Szemerédi’s Regularity Lemma and Roth’s Theorem on Arithmetic Progressions in Isabelle/HOL
AbstractWe have formalised Szemerédi’s Regularity Lemma and Roth’s Theorem on Arithmetic Progressions, two major results in extremal graph theory and additive combinatorics, using the proof...
Evaluating Winding Numbers and Counting Complex Roots Through Cauchy Indices in Isabelle/HOL.
In complex analysis, the winding number measures the number of times a path (counter-clockwise) winds around a point, while the Cauchy index can approximate how the path winds. We formalise this approximation in the Isabelle...
Evaluating Winding Numbers and Counting Complex Roots Through Cauchy Indices in Isabelle/HOL
Abstract: In complex analysis, the winding number measures the number of times a path (counter-clockwise) winds around a point, while the Cauchy index can approximate how the path winds. We formalise this approximation in the...
Toward whole-of-system action to promote physical activity
Background: The value of a systems thinking approach to tackling population physical inactivity is increasingly recognized. This study used conceptual systems thinking to develop a cognitive map for physical activity (PA)...
Toward whole-of-system action to promote physical activity
Background: The value of a systems thinking approach to tackling population physical inactivity is increasingly recognized. This study used conceptual systems thinking to develop a cognitive map for physical activity (PA)...
Achieving robustness to aleatoric uncertainty with heteroscedastic Bayesian optimisation
Abstract: Bayesian optimisation is a sample-efficient search methodology that holds great promise for accelerating drug and materials discovery programs. A frequently-overlooked modelling consideration in Bayesian optimisation...
Depression amongst interns working in a tertiary care teaching Hospital in Maharashtra
Background: Internship is a crucial stage of medical school regarding student stress which can affect the patient care negatively. Retrieving knowledge about presence of depression is therefore important in itself and if found...
Published by: IJHS Medical Association
A Model of Cloud Forensic Application With Assurance of Cloud Log
The key concepts of digital forensic investigation in cloud computing are examination and investigation. Cybercriminals target cloud-based web applications due to presence of vulnerabilities. Forensic investigation is a complex...
Depression amongst interns working in a tertiary care teaching Hospital in Maharashtra
Background: Internship is a crucial stage of medical school regarding student stress which can affect thepatient care negatively. Retrieving knowledge about presence of depression is therefore important in itself and iffound...
Published by: IJHS Medical Association
Sentiment Analysis on Movie Reviews Dataset Using Support Vector Machines and Ensemble Learning
The internet makes it easier for people to connect to each other and has become a platform to express ideas and share information with the world. The growth of the internet has indirectly led to the development of social...
Knowledge and Attitude among High School Students towards HIV / AIDS in Rural areas of Belagavi–A Cross Sectional Study
Introduction Since its emergence in 1981, the HIV/AIDS pandemic, which poses a serious challenge to mankind, without doubt, has become one of the most serious infectious diseases. Many adolescents around the world are sexually...
Published by: IJHS Medical Association
Knowledge and Attitude among High School Students towards HIV / AIDS in Rural areas of Belagavi–A Cross Sectional Study
Introduction Since its emergence in 1981, the HIV/AIDS pandemic, which poses a serious challenge to mankind, without doubt, has become one of the most serious infectious diseases. Many adolescents around the world are sexually...
Published by: IJHS Medical Association

|<

<

1

2

3

4

5

>

>|