Articles with "proof" as a keyword



Decoding phonation with artificial intelligence (DeP AI): Proof of concept

Sign Up to like & get
recommendations!
Published in 2019 at "Laryngoscope Investigative Otolaryngology"

DOI: 10.1002/lio2.259

Abstract: Acoustic analysis of voice has the potential to expedite detection and diagnosis of voice disorders. Applying an image‐based, neural‐network approach to analyzing the acoustic signal may be an effective means for detecting and differentially diagnosing… read more here.

Keywords: decoding phonation; proof concept; proof; phonation artificial ... See more keywords
Photo from wikipedia

Elephants, Parkinson's Disease, and Proof‐of‐Concept Clinical Trials

Sign Up to like & get
recommendations!
Published in 2018 at "Movement Disorders"

DOI: 10.1002/mds.27398

Abstract: We all know the proverbial story of the committee attempting to agree on the description of an elephant. Now, more than 200 years on from James Parkinson’s codification of his now-eponymous syndrome, with his hopeful… read more here.

Keywords: elephants parkinson; disease; proof concept; proof ... See more keywords

Permeability of artificial barriers (fences) for wild boar (Sus scrofa) in Mediterranean mixed landscapes

Sign Up to like & get
recommendations!
Published in 2022 at "Pest Management Science"

DOI: 10.1002/ps.6853

Abstract: Abstract BACKGROUND Fences are one of the most widespread manmade features in nature, constituting an artificial limitation to the movement of wildlife. To date, their effects on wildlife behavior have been understudied but this knowledge… read more here.

Keywords: proof; permeability; well maintained; maintained big ... See more keywords
Photo from archive.org

A short direct proof of the discrete Hardy inequality

Sign Up to like & get
recommendations!
Published in 2019 at "Archiv der Mathematik"

DOI: 10.1007/s00013-019-01395-6

Abstract: The purpose of this note is to expose a short proof of Hardy’s inequality in the sequence case. The proof is straightforward and provides the optimal constant $$p'$$ p ′ . read more here.

Keywords: short direct; direct proof; proof; proof discrete ... See more keywords

A short proof for the acyclicity of oriented exchange graphs of cluster algebras

Sign Up to like & get
recommendations!
Published in 2025 at "Archiv der Mathematik"

DOI: 10.1007/s00013-025-02173-3

Abstract: The statement in the title was proved in [1] by introducing dominant sets of seeds, which are analogs of torsion classes in representation theory. In this note, we observe a short proof by the existence… read more here.

Keywords: oriented exchange; short proof; cluster; proof ... See more keywords

A New Proof of the QNEC

Sign Up to like & get
recommendations!
Published in 2025 at "Communications in Mathematical Physics"

DOI: 10.1007/s00220-025-05450-y

Abstract: We give a simplified proof of the quantum null energy condition (QNEC). Our proof is based on an explicit formula for the shape derivative of the relative entropy, with respect to an entangling cut. It… read more here.

Keywords: proof qnec; proof; new proof;

Szemerédi’s proof of Szemerédi’s theorem

Sign Up to like & get
recommendations!
Published in 2020 at "Acta Mathematica Hungarica"

DOI: 10.1007/s10474-020-01081-y

Abstract: In 1975, Szemeredi famously established that any set of integers of positive upper density contained arbitrarily long arithmetic progressions. The proof was extremely intricate but elementary, with the main tools needed being the van der… read more here.

Keywords: theorem; proof; szemer proof; regularity lemma ... See more keywords

Comparative analysis on the nature of proof to be taught in geometry: the cases of French and Japanese lower secondary schools

Sign Up to like & get
recommendations!
Published in 2017 at "Educational Studies in Mathematics"

DOI: 10.1007/s10649-016-9711-x

Abstract: This paper reports the results of an international comparative study on the nature of proof to be taught in geometry. Proofs in French and Japanese lower secondary schools were explored by analyzing curricular documents: mathematics… read more here.

Keywords: nature proof; proof; proof taught; geometry ... See more keywords

Fostering empirical examination after proof construction in secondary school geometry

Sign Up to like & get
recommendations!
Published in 2017 at "Educational Studies in Mathematics"

DOI: 10.1007/s10649-016-9731-6

Abstract: In contrast to existing research that has typically addressed the process from example generation to proof construction, this study aims at enhancing empirical examination after proof construction leading to revision of statements and proofs in… read more here.

Keywords: proof; geometry; empirical examination; proof construction ... See more keywords
Photo by aaronburden from unsplash

Affecting the flow of a proof by creating presence—a case study in Number Theory

Sign Up to like & get
recommendations!
Published in 2017 at "Educational Studies in Mathematics"

DOI: 10.1007/s10649-016-9746-z

Abstract: The notion of flow of a proof encapsulates mathematical, didactical, and contextual aspects of proof presentation. A proof may have different flows, depending on the lecturer’s choices regarding its presentation. Adopting Perelman’s New Rhetoric (PNR)… read more here.

Keywords: case study; flow proof; proof; number theory ... See more keywords

Analysis of Wallace’s Proof of the Born Rule in Everettian Quantum Mechanics: Formal Aspects

Sign Up to like & get
recommendations!
Published in 2018 at "Foundations of Physics"

DOI: 10.1007/s10701-018-0179-7

Abstract: To solve the probability problem of the Many Worlds Interpretation of Quantum Mechanics, D. Wallace has presented a formal proof of the Born rule via decision theory, as proposed by D. Deutsch. The idea is to get… read more here.

Keywords: born rule; proof; proof born; quantum mechanics ... See more keywords