Note on the Algebra of S-Functions

Duncan, D. G.

doi:10.4153/cjm-1954-054-3

Cited by 8 publications

(9 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…They are helpful, as a metaphor [22], for developing self-esteem and self-efficacy [23][24][25], confidence [26], positive behavior [27], and are also effective in fostering trust and attachment [21]. Therefore, horses have been used in a variety of therapeutic service contexts, such as learning and counselling programs in correctional facilities [28], mental health facilities [26], and social services [29], as well as with high-risk youths and veterans who have experienced emotional and behavioral trauma [30,31].…”

Section: The Usefulness Of Eal For Individuals With Igdmentioning

confidence: 99%

“…Therefore, EAL offers practical learning through mounted and unmounted activities to improve participants' social functioning, self-awareness, understanding, empathy, accomplishment, confidence through problem-solving, and interpersonal skills [32]. According to previous studies, EAL was effective in improving attachment, confidence, communication, empathy, and social skills in adolescents [30], encouraging hope and decreasing depression in at-risk youths [19], and decreasing trauma symptoms [31,33,34], as well as growing self-control, greater family intimacy, and lesser impulsivity in adolescents with attention-deficit hyperactivity disorder (ADHD) [30].…”

Section: The Usefulness Of Eal For Individuals With Igdmentioning

confidence: 99%

See 1 more Smart Citation

The Effects of Equine-Assisted Learning on Adolescents with Internet Gaming Disorder

Park,

Jung

2024

Healthcare

View full text Add to dashboard Cite

During the COVID-19 pandemic, internet gaming became more popular as a way to cope with stress, but excessive gaming can lead to mental health issues like internet gaming disorder (IGD). IGD has serious consequences, especially among children and young adults, and the gaming industry’s profits continue to grow. This study aims to understand the mental and behavioral health of adolescents with IGD participating in an equine-assisted learning (EAL) program and assess the changes in their addiction tendencies and emotional and behavioral problems. The results showed that the participants’ tendency towards internet gaming addiction and emotional and behavioral problems decreased immediately after the EAL program, but they rose again a month later. This suggests the importance of ongoing program involvement. As COVID-19 restrictions ease worldwide, this study highlights the increasing risk of IGD. It suggests that EAL could be a valuable approach to treating behavioral addictions, including gaming addiction. While prior research has shown the effectiveness of EAL in treating substance addiction, more research is needed to explore its potential in treating various types of addictions, such as gambling or gaming addictions.

show abstract

Section: The Usefulness Of Eal For Individuals With Igdmentioning

confidence: 99%

Section: The Usefulness Of Eal For Individuals With Igdmentioning

confidence: 99%

The Effects of Equine-Assisted Learning on Adolescents with Internet Gaming Disorder

Park,

Jung

2024

Healthcare

View full text Add to dashboard Cite

show abstract

“…In recognition of all the above, animal-assisted interventions (AAIs) are being frequently used as complementary interventions for trauma survivors in general [43][44][45], specifically among veterans [26,33,[46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64]. AAIs might benefit trauma survivors by facilitating enhanced engagement with conventional interventions and/or, after rigorous studies demonstrating benefit, serve as stand-alone evidence-based treatments.…”

Section: Conventional Interventions For Trauma Exposurementioning

confidence: 99%

“…There is now emerging literature reporting investigations of EAS interventions for veterans with trauma histories. This review identified 23 studies [26,33,[46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][108][109][110][111] in the literature (Table 1). However, of these, only three [47,52,53] had a control group and only one [52] was a randomized trial.…”

Section: Overview Of the Extant Literaturementioning

confidence: 99%

Potential Mechanisms of Action and Outcomes of Equine-Assisted Services for Veterans with a History of Trauma: A Narrative Review of the Literature

Marchand

2023

IJERPH

View full text Add to dashboard Cite

Equine-assisted services (EASs) are being increasingly used as complementary interventions for military veterans who have experienced trauma. However, there is limited evidence of benefit for this population and almost no literature describing the desired potential outcomes and possible mechanisms of action. The aim of this article is to address these gaps by reviewing the extant literature of animal-assisted interventions in general, and equine-assisted services in particular, with the goal of providing guidance for future investigations in the field. Currently, the field is in the early stage of scientific development, but published results are promising. Interventions that enhance treatment compliance and/or outcomes could benefit this population. Preliminary results, reviewed herein, indicate that EAS interventions might benefit the military veteran population by enhancing treatment engagement and therapeutic alliance, as well as by contributing to symptom reduction and resulting in various transdiagnostic benefits. It is recommended that future studies include exploration of potential beneficial outcomes discussed herein, as well as investigate suggested mechanisms of action.

show abstract

“…The following table presents a (non-exhaustive) list of some of the known results in this direction. ]] in terms of Schur functions [18] Since general formulae for the coefficients a ν λ,µ have been elusive, various methods for computing plethysm have been developed [5,6,9,13,14,23,26,35,43,45,46] as well as representation-theoretic approaches [4,11,20,32,33,37].…”

Section: Introductionmentioning

confidence: 99%

The mystery of plethysm coefficients

Colmenarejo¹,

Orellana²,

Saliola³

et al. 2022

Preprint

View full text Add to dashboard Cite

Composing two representations of the general linear groups gives rise to Littlewood's (outer) plethysm. On the level of characters, this poses the question of finding the Schur expansion of the plethysm of two Schur functions. A combinatorial interpretation for the Schur expansion coefficients of the plethysm of two Schur functions is, in general, still an open problem. We identify a proof technique of combinatorial representation theory, which we call the "s-perp trick", and point out several examples in the literature where this idea is used. We use the s-perp trick to give algorithms for computing monomial and Schur expansions of symmetric functions. In several special cases, these algorithms are more efficient than those currently implemented in SageMath.

show abstract

Note on the Algebra of S-Functions

Abstract: Considerable advance has been made recently towards a systematic method of evaluating the “product” {μ} ꕕ {λ}, most notably in the methods of Robinson (3), Littlewood (2), and Todd (5) and the differential operator technique of H. O. Foulkes.

Cited by 8 publications

References 4 publications

The Effects of Equine-Assisted Learning on Adolescents with Internet Gaming Disorder

The Effects of Equine-Assisted Learning on Adolescents with Internet Gaming Disorder

Potential Mechanisms of Action and Outcomes of Equine-Assisted Services for Veterans with a History of Trauma: A Narrative Review of the Literature

The mystery of plethysm coefficients

Contact Info

Product

Resources

About