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Abdullah, Nur Izzati binti, Anida Sarudin, Zulkifli Osman, Husna Faredza Mohamed, Mazura Mastura Muhammad, and Marlini Idris. "Multimodalities Element In The Cartoon Work Through Linguistic Modes And Visual Modes." Humanus 19, no. 2 (2020): 254. http://dx.doi.org/10.24036/humanus.v19i2.109103.
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In cartoons, meanings and messages are generated either through two semiotic modes that are verbal and visual or solely through visual modes. Interaction between language and cartoon images is often regarded as a straightforward and easy-to-process way to convey a message. This study aims to show that the meaning and cartoon messages are not always easy to understand, therefore readers should observe the language and visual information of each cartoon. This study is aimed at identifying the linguistic modes and the visual modes in the cartoons to convey the meaning and the explicit message or implied message. For this purpose, two theories are adopted; Systemic Functional Linguistics Theory by Halliday (1994) to analyze linguistic modes and multimodal approach by Kress and Van Leeuwen (1996, 2006) to analyze visual modes or images in cartoons. The research data was obtained from Usik-Usik cartoon book (Cynical Collection of the World of Education). The findings indicate that language text is a linguistic modes that acts as an effective multimodal element and complement the visual modes in the cartoon work. Furthermore, the findings of the study also show that the role of linguistic modes is to provide the context in the cartoon work as additional information so that the reader can understand the messages to be communicated more clearly.
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Muhammad Fadzli, Muhammad Arif Haikal, Mohd Fadzil Abu Hassan, and Norazlin Ibrahim. "Explicit kissing scene detection in cartoon using convolutional long short-term memory." Bulletin of Electrical Engineering and Informatics 11, no. 1 (2022): 213–20. http://dx.doi.org/10.11591/eei.v11i1.3542.
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The main concern of this study is due to certain cartoon content consisting of explicit scenes such as kissing, sex, violence. That are somehow not suitable for kids and may contradict to some religions and cultures. There are some reasons the film industry does not expel the kissing scene in a cartoon movie. It is categorized as a romance sequence and love scene. These could be a double-edged weapon that will ruin an individual’s childhood through excessive exposure to explicit content. This paper proposes a deep learning-based classifier to detect the kissing scene in the cartoon by using Darknet-19 for frame-level feature extraction, while the feature aggregation in the temporal domain is using convolutional long short-term memory (conv-LSTM). This paper also has discussed a few steps related to evaluation and analysis regarding the performance of the models. Extensive experiments prove that the proposed system provides excellent results of 96.43% accuracy to detect the kissing scene in the cartoon. Due to high accuracy performance, the model is suitable to be a kissing scene filter feature in a digital video player that may able to decrease the excessive exposure to explicit content for kids.
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Muhammad, Arif Haikal Muhammad Fadzli, Fadzil Abu Hassan Mohd, and Ibrahim Norazlin. "Explicit kissing scene detection in cartoon using convolutional long short-term memory." Bulletin of Electrical Engineering and Informatics 11, no. 1 (2022): 213–20. https://doi.org/10.11591/eei.v11i1.3542.
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The main concern of this study is due to certain cartoon content consisting of explicit scenes such as kissing, sex, violence. That are somehow not suitable for kids and may contradict to some religions and cultures. There are some reasons the film industry does not expel the kissing scene in a cartoon movie. It is categorized as a romance sequence and love scene. These could be a double-edged weapon that will ruin an individual’s childhood through excessive exposure to explicit content. This paper proposes a deep learningbased classifier to detect the kissing scene in the cartoon by using Darknet19 for frame-level feature extraction, while the feature aggregation in the temporal domain is using convolutional long short-term memory (convLSTM). This paper also has discussed a few steps related to evaluation and analysis regarding the performance of the models. Extensive experiments prove that the proposed system provides excellent results of 96.43% accuracy to detect the kissing scene in the cartoon. Due to high accuracy performance, the model is suitable to be a kissing scene filter feature in a digital video player that may able to decrease the excessive exposure to explicit content for kids.
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Çil, Emine. "TEACHING NATURE OF SCIENCE THROUGH CONCEPTUAL CHANGE APPROACH: CONCEPTUAL CHANGE TEXTS AND CONCEPT CARTOONS." Journal of Baltic Science Education 13, no. 3 (2014): 339–50. http://dx.doi.org/10.33225/jbse/14.13.339.
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The study investigated the influence of conceptual change approach on elementary students’ views of certain aspects of nature of science (NOS). In this study, conditions of conceptual change were provided through the use of conceptual change texts and concept cartoons. In addition, this study compared the influence of the conceptual change approach to that of the explicit reflective inquiry-oriented and implicit instructional approaches in the teaching of NOS. The research was conducted with seventh-grade students (aged 12-13 years) at a school in Turkey’s Aegean region. A total of 69 students participated in the study. The students’ views of NOS were assessed using a questionnaire, (the Views of Nature of Science Elementary Level Scale) as pre-test and post-test in conjunction with data from semi-structured interviews. This study reveals that the best way to remedy the naïve views of students on NOS is a conceptual change framework. Key words: conceptual change text, concept cartoon, explicit reflective approach, implicit approach, nature of science.
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Abd Rahim, Nor Nadhirah Aniqah, Arba’iyah Ab. Aziz, and Mohamad Kamal Abd Aziz. "Inti pati dan nilai kartun rejabhad dalam majalah gila-gila." Jurnal Pengajian Melayu 34, no. 2 (2023): 34–46. http://dx.doi.org/10.22452/jomas.vol34no2.3.
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ABSTRAK Majalah kartun tidak hanya dinilai melalui luaran sahaja namun mempunyai inti pati dan aspek nilai melalui pendekatan cerita yang di bawa sama ada daripada ekspresi watak kartun yang menampilkan makna-makna yang tersurat. Kajian ini menganalisis kartun Rejabhad dalam majalah Gila-Gila, sebuah majalah kartun yang menjadi wadah hiburan dan kesukaan masyarakat menggunakan pendekatan konsep inti pati dan nilai. Objektif kajian ini adalah untuk menganalisis inti pati dan aspek nilai dalam kartun Periwira Mat Gila, Tan Tin Tun, Selendang Siti Rugayah dan Amal anak Periwira Mat Gila oleh kartunis Rejabhad. Metodologi kajian ini bersifat kualitatif, melibatkan analisis kandungan kartun tersebut. Analisis juga tertumpu pada jalan cerita dialog yang digunakan bahasa dan pemilihan kata, watak, lakaran imej, isyarat serta simbol-simbol yang dipaparkan menerusi kaedah deskripsi, analisis, interpretasi dan penilaian oleh Teori Edmund Burke Feldman (1994). Dapatan kajian ini menunjukkan bahawa inti pati penceritaan dan aspek nilai dalam kartun Rejabhad dapat membentuk pendekatan moral dalam kalangan masyarakat dan memberi sumbangan kepada agama, bangsa dan tanah air. Selain itu, pendekatan nilai dalam kartun memupuk elemen pengajaran, pengalaman dan pengetahuan daripada pelbagai ragam kehidupan masyarakat dari aspek positif dan negatif. Implikasi kajian ini ialah kartun perlu dikaji secara mendalam kerana mempunyai nilai-nilai yang tersirat, mempunyai nilainya menerusi kiasan, sama ada menggunakan unsur-unsur simbolik atau menerusi dialog-dialog yang dipaparkan dalam jalan cerita. Kajian ini diharap dapat memberi impak dari sudut ilmiah dalam industrikartun tempatan terhadap pelajar, penyelidik, ahli sarjana, kartunis, ahli seni, pembaca kartun, pengumpul dan masyarakat umum. Kata kunci: kartun; inti pati; nilai; Rejabhad; majalah Gila-Gila ABSTRACT Cartoon magazines are not only analysed based on their extrinsic features; they also contain intrinsic substance and values that can be shared vis-à-vis stories through explicit characters’ expressions. This paper utilised the concept of substance and value to study cartoons produced by Rejabhad in the magazine Gila-Gila, a highly adored entertainment medium. It aims to analyse the cartoonist’s works titled Periwira Mat Gila, Tan Tin Tun, Selendang Siti Rugayah and Amal anak Periwira Mat Gila. The paper utilized a qualitative methodology that involved content analysis, focusing on the plot in dialogues, language, word selection, characters, sketches, gestures and symbols through the approach of description, analysis, interpretation and evaluation proposed by Edmund Burke Feldman (1994). Results showed that the substance and values promoted in Rejabhad cartoons can shape the morals of a community, thereby contributing towards race, religion and country. In addition, the value-based approach can foster the elements of lessons learnt, experience and knowledge derived from a motley of negative and positive occurrences in the community. Overall, cartoons should be studied in depth because they contain intrinsic values taught through allusions in symbolism and dialogue. Consequently, this paper hopes to provide an academic impact on the local cartoon industry, be it towards students, educators, scholars, cartoonists, artists, readers, collectors and the public alike. Keywords: cartoon; substance; values; Rejabhad; Gila-Gila magazine
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Zaytoon, Heba Ahmed Ragai. "Caricature Images for Religious Profiling: A Multimodal Analysis of Islamophobia in Selected Press Images." Anglica. An International Journal of English Studies, no. 26/2 (September 11, 2017): 185–224. http://dx.doi.org/10.7311/0860-5734.26.2.11.
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The problem of religious profiling and the increase of animosity, exclusion and maltreatment of Muslim minorities in the West have reached an unprecedented level in a community where racism and segregation are usually denounced. The paper investigates the concept of Islamophobia as presented in 25 selected caricature images, along with their accompanying texts, chosen from magazines and specialized cartoon websites. Multimodality and its related analytic tools are utilized for making explicit the interactive messages encoded within these caricature images. The theoretical framework upon which this study is conducted incorporates Halliday’s (1978) three metafunctions, and Kress and Van Leeuwen’s (1996) adaptation of them for the analysis of images and their captions.
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SALAKO, Abisola Temitayo. "Pragmatic Analysis of Mood in Selected Editorial Social Cartoons." Beyond Babel: A Publication of the Dept. of Languages and Literary Studies Babcock University, Ogun State, Nigeria 4, no. 1 (2014): 28–39. https://doi.org/10.5281/zenodo.10565528.
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Editorial Cartoons have shaped public opinions on societal issues over the years, usually resulting in reverberating consequences. In 2015, twelve people were killed in the Charlie Hebdo magazine offices attack in Paris. In 2017, Bala, an India journalist was jailed, while Triveldi, another journalist was arrested and jailed earlier in 2012 for cartoon related issues. These and other events like it show that cartoons are a potent force in depicting societal issues. This study examines the role played by cartoons columns in depicting the social mood in Nigeria. Some random three cartoons in October, 2017 are analyzed and explicated, using the tools of presupposition and context to explicate the mood of each cartoon, thus determining the language use. The analysis carried out reveals that cartoon columns reflect the mood of disbelief, dejection, and despair. The existential presupposition is prominent, thus affirming cartoons play important role in documenting, and shedding light on social issues.
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Abdel-Tawwab Sharaf Eldin, Ahmad. "A Pragmatic Study of Political Cartoons in Al-Ahram Weekly Newspaper." British Journal of Translation, Linguistics and Literature 2, no. 2 (2022): 25–48. http://dx.doi.org/10.54848/bjtll.v2i2.33.
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During the past century, political cartoons were considered as the most extreme form of expression in newspapers, as they were not committed to any norm of journalistic objectivity, or even the domain of objective reality. Some cartoonists consider political cartoons as historical sources of satirical critique of the political status quo. Generally speaking, there are various forms of cartoons, such as political, social, and humorous cartoons. Each one has a different function.
 The function of political cartoons lies in making a real change in a society in favor of suppressed classes through criticizing the status quo and unjust practices in political life. In addition, cartoons help newspapers and magazines look better by taking some space among columns of words which might be boring for the reader. At the same time, political cartoons have real contributions in affirming the role newspapers play as means of communication between a reader and a cartoonist. Political cartoons are also capable of bold dealing with different societal problems as they can escape different types of censorship. Thus, political cartoons have the mechanisms to correct the negatives of a society faster than written words, especially they are easily understood by readers.
 As cartoons are viewed as methods of communication, pragmatics is also concerned with determining the elements of communicational content, which are essential to interpretation. It is quite common for an utterance to display a number of pragmatic features. Hence, it is clear that pragmatics plays a key role in the interpretation of the communication process represented by the cartoons' language. This communication process, whether verbal or non-verbal, includes expressions and recognition of intentions. From this perspective, pragmatic interpretation is simply an exercise in which a reader infers a cartoonist’s intended meaning from his cartoon.
 Within this framework, this study tries to discuss the aspects of the implicit meanings in the language of political cartoons. The importance of the study is obviously shown by shedding light on the role of the language that can be employed to convey explicit and also implicit meaning by pragmatic devices. This study, therefore, attempts to clarify the role of pragmatic devices in explaining the hidden meaning in political cartoons. In doing so, it tries to emphasize the importance of implicature in the language of political cartoons, whether it abides or flouts Gricean’s maxims with its effect to convey the meaning. Also, it attempts to figure out why cartoonists frequently use this aspect of pragmatics in writing the language. Another goal of this study is to explain the role of speech acts, whether used directly or indirectly, and why a cartoonist sometimes uses the literal and sometimes prefers to use non-literal speech acts.
 Moreover, this study underscores the importance of the distinction between language use and linguistic meaning. Besides, it asserts a parallel distinction between speaker's reference and linguistic reference, which provokes the assumption to what extent linguistic expressions refer independently to speaker's use of them. In addition, this thesis attempts to consider the politeness phenomenon as a pragmatic device, and its role in understanding the meaning. 
 Given the distance between a cartoonist and his addressees, this study sheds light on how language users sometimes depart from the conditions of optimal information exchange which may cause confusion. In addition, this thesis emphasizes the function of deictic expressions and the role of presupposition with its relation to the implicature. In short, it shows the linguistic insights of implicit meanings employed in cartoons and attempts to discover whether or not cartoonists succeed in conveying the meaning to the addressees by employing pragmatic devices.
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Gullberg, Marianne. "Gesture as a Communication Strategy in Learners of French and Swedish." EUROSLA 6 55 (January 1, 1996): 63–73. http://dx.doi.org/10.1075/ttwia.55.06gul.
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Three native speakers of Swedish learning French and three native speakers of French learning Swedish were asked to retell a cartoon both in their first and second language, and their use of gesture as a communication strategy was investigated. The quantitative difference between the NNS groups was found to be due to different proficiency levels rather than to the influence of LI, since no quantitative difference could be found in gesture use between the NSs of French and NS of Swedish. All speakers used more gestures per clause as NNSs, but the type of gestures used and their distribution was very similar across Lis. All NNSs use iconic and metaphoric gestures to compensate for lexical deficits, exploiting and illustrating features of the referent. Attempts to manage discourse result in deictic gestures to establish explicit co-reference and coherence. The same gestural behaviour could be found in all NSs, again irrespective of LI. It is suggested that the difference between strategic behaviour in LI and L2 is mainly a matter of degree.
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Han, Feng, Kai Chen, Chao Gong, Zhipeng Wei, Jingjing Chen, and Yu-Gang Jiang. "DuMo: Dual Encoder Modulation Network for Precise Concept Erasure." Proceedings of the AAAI Conference on Artificial Intelligence 39, no. 3 (2025): 3320–28. https://doi.org/10.1609/aaai.v39i3.32343.
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The exceptional generative capability of text-to-image models has raised substantial safety concerns regarding the generation of Not-Safe-For-Work (NSFW) content and potential copyright infringement. To address these concerns, previous methods safeguard the models by eliminating inappropriate concepts. Nonetheless, these models alter the parameters of the backbone network and exert considerable influences on the structural (low-frequency) components of the image, which undermines the model's ability to retain irrelevant concepts. In this work, we propose our Dual encoder Modulation network (DuMo), which achieves precise erasure of inappropriate target concepts with minimum impairment to non-target concepts. In contrast to previous methods, DuMo employs the Eraser with PRior Knowledge (EPR) module which modifies the skip connection features of the U-NET and primarily achieves concept erasure on details (high-frequency) components of the image. To minimize the demage to non-target concepts during erasure, the parameters of the backbone U-NET are frozen and the prior knowledge from the original skip connection features is introduced to the erasure process. Meanwhile, the phenomenon is observed that distinct erasing preferences for the image structure and details are demonstrated by the EPR at different timesteps and layers. Therefore, we adopt a novel Time-Layer MOdulation process (TLMO) that adjusts the erasure scale of EPR module's outputs across different layers and timesteps, automatically balancing the erasure effects and model's generative ability. Our method achieves state-of-the-art performance on Explicit Content Erasure (detecting only 34 nude parts), Cartoon Concept Removal (with an average LPIPS_da of 0.428, 0.113 higher than SOTA at 0.315), and Artistic Style Erasure (with an average LPIPS_da of 0.387, 0.088 higher than SOTA at 0.299), clearly outperforming alternative methods.
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Zikrullah, Muhammad. "Learning Without Pressure: How Children Acquire Foreign Languages Through Animated Cartoons." Journal of Society Innovation and Development 2, no. 2 (2021): 142–52. https://doi.org/10.63924/jsid.v2i2.232.
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In an age where digital media profoundly influences early childhood experiences, the significance of animated cartoons in foreign language acquisition has attracted increased academic attention. Although formal instruction is fundamental to language education, informal, media-based exposure especially via cartoons presents a potentially potent yet underexamined pathway for language acquisition. This study rigorously analyzes 38 peer-reviewed, Scopus-indexed articles to investigate the acquisition of foreign languages by children through animated cartoons, emphasizing the psychological comfort and inherent nature of the learning process. The study utilizes a critical review methodology to synthesize empirical data from applied linguistics, educational psychology, and media studies. The investigation demonstrates that cartoons facilitate quantifiable improvements in vocabulary and phonological awareness, frequently without explicit teaching. Children interact with foreign-language material in a psychologically low-pressure setting, supported by elements such as visual redundancy, repetition, and emotional connections to characters. Contextual factors, including as age, frequency of exposure, and parental mediation, additionally influence learning outcomes. These findings highlight the efficacy of animated cartoons as supplementary resources in early language education, especially in environments with restricted formal instruction. The study enhances the existing literature promoting multimodal, emotionally supportive learning settings and provides practical implications for educators, parents, and policymakers aiming to utilize media for language development.
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Hazboun, Jeffrey S. "Constructing an explicit AdS/CFT correspondence with Cartan geometry." Nuclear Physics B 929 (April 2018): 254–65. http://dx.doi.org/10.1016/j.nuclphysb.2018.02.006.
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Gelburd, Gail. "John Sloan's Veiled Politics and Art." Journal of the Gilded Age and Progressive Era 7, no. 1 (2008): 69–88. http://dx.doi.org/10.1017/s1537781400001730.
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During the 1909 New York mayoral campaign, the Socialist newspaper, the New York Call, published a series of seven political cartoons signed by Josh Nolan. Analysis of the subject and style of these cartoons suggest that the signature on them was an anagrammatic pseudonym for painter John Sloan, a leading figure of the Ash Can School and later art director for the Masses. Sloan confirms this in his diary, which provides the reader with evidence of the painter's inclination to use anagrams and fictitious names. The cartoons document a forgotten aspect of the artist's career and reveal many of his political and aesthetic influences. The images also explicate Sloan's personal political commitments and the origins of his later unique imagery. This essay examines Sloan's early cartoons, while questioning why Sloan would choose to hide his identity when creating images for the New York Call.
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Ceylan, Ayse, and Abdullah Ergin. "Mannheim partner curves in Cartan-Vranceanu 3-space." Filomat 30, no. 4 (2016): 1089–95. http://dx.doi.org/10.2298/fil1604089y.
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In this paper, the Mannheim mate curves of the proper biharmonic curves in Cartan-Vranceanu 3-dimensional spaces (M,ds2l,m), with l2 ? 4m and m ? 0 are studied. We give the definition of the Mannheim mate of a proper biharmonic curve and give the explicit parametric equations of that Mannheim mate curve in Cartan-Vranceanu 3-dimensional space. Moreover, we show that the distance between corresponding points of the Mannheim pairs is constant in Cartan-Vranceanu 3-dimensional spaces.
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Dydynski, Jason Mario, and Nelly Mäekivi. "Darwin’s antithesis revisited – a zoosemiotic perspective on expressing emotions in animals and animal cartoon characters." Sign Systems Studies 47, no. 1/2 (2019): 205–33. http://dx.doi.org/10.12697/sss.2019.47.1-2.08.
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In the animation and design of cartoon characters, animators have often turned to the study of biological theories and observation of human actors and animals to capture lifelike movements and emotions more successfully. Charles Darwin’s principle of antithesis, as one of the principles he considered to be responsible for the expression of emotions in animals, would seem to be of distinctive importance in the development of animation. By revisiting Darwin’s original idea in the context of the principles of animation formulated by Thomas and Johnston, we are able to assess its application and relevance in the expressions of emotions in cartoon animal characters. The article concentrates on the emotive function of animal social communication as outlined in zoosemiotics, while taking into account that the expressions of animal characters are directed at the viewer. The principle of antithesis, as a descriptive tool, aids us in considering the diversity of modalities used simultaneously in affective communication, and serves to explicate human interpretations of the anthropomorphic and zoomorphic projections onto the behaviour of cartoon animal characters. This paper offers insight into the potential expansion and re-evaluation of unattested principles in animation, which can be utilized by animators in the creation of more dynamic and expressive animated characters.
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Hardt, Andrew, Jared Marx-Kuo, Vaughan McDonald, John M. O’Brien, and Alexander Vetter. "Characters of Renner monoids and their Hecke algebras." International Journal of Algebra and Computation 30, no. 07 (2020): 1505–35. http://dx.doi.org/10.1142/s0218196720500514.
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This paper gives a general algorithm for computing the character table of any Renner monoid Hecke algebra, by adapting and generalizing techniques of Solomon used to study the rook monoid. The character table of the Hecke algebra of the rook monoid (i.e. the Cartan type [Formula: see text] Renner monoid) was computed earlier by Dieng et al. [2], using different methods. Our approach uses analogues of so-called A- and B-matrices of Solomon. In addition to the algorithm, we give explicit combinatorial formulas for the A- and B-matrices in Cartan type [Formula: see text] and use them to obtain an explicit description of the character table for the type [Formula: see text] Renner monoid Hecke algebra.
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Kingo, Osman Skjold, Trine Sonne, and Peter Krøjgaard. "Predicting explicit memory for meaningful cartoons from visual paired comparison in infants and toddlers." Journal of Experimental Child Psychology 215 (March 2022): 105316. http://dx.doi.org/10.1016/j.jecp.2021.105316.
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Bluhm, Robert, and Yu Zhi. "Spontaneous and Explicit Spacetime Symmetry Breaking in Einstein–Cartan Theory with Background Fields." Symmetry 16, no. 1 (2023): 25. http://dx.doi.org/10.3390/sym16010025.
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Explicit and spontaneous breaking of spacetime symmetry under diffeomorphisms, local translations, and local Lorentz transformations due to the presence of fixed background fields is examined in Einstein–Cartan theory. In particular, the roles of torsion and violation of local translation invariance are highlighted. The nature of the types of background fields that can arise and how they cause spacetime symmetry breaking is discussed. With explicit breaking, potential no-go results are known to exist, which if not evaded lead to inconsistencies between the Bianchi identities, Noether identities, and the equations of motion. These are examined in detail, and the effects of nondynamical backgrounds and explicit breaking on the energy–momentum tensor when torsion is present are discussed as well. Examples illustrating various features of both explicit and spontaneous breaking of local translations are presented and compared to the case of diffeomorphism breaking.
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Nešović, Emilija. "On Null Cartan Normal Helices in Minkowski 3-Space." Axioms 14, no. 5 (2025): 379. https://doi.org/10.3390/axioms14050379.
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In this paper, we introduce null Cartan normal helices in Minkowski space E13. We obtain explicit expressions for their torsions by considering the cases when the C-constant vector field is orthogonal to their axis or not orthogonal to it. We find that the tangent vector field of a null Cartan normal helix satisfies the third-order linear homogeneous differential equation and obtain its general solution in a special case. We prove that null Cartan helices are the only normal helices having two axes and, in a particular case, three axes. Finally, we provide the necessary and sufficient conditions for null Cartan normal helices lying on a timelike surface to be isophotic curves, silhouettes, normal isophotic curves and normal silhouettes with respect to the same axis and provide some examples.
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Tunde, Asiru Hameed, and Shamsuddeen Bello. "A Linguistic and Literary Analyses of Selected Cartoons on the Novel COVID-19 Pandemic in Nigeria." International Journal of Semiotics and Visual Rhetoric 5, no. 1 (2021): 28–44. http://dx.doi.org/10.4018/ijsvr.2021010103.
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The world is currently facing a global pandemic, named COVID-19, which is seriously wreaking a devastating blow on the world healthcare system. Since the first index case was reported in Lagos, Nigeria, in February, the federal and state governments have put measures in place to curtail the spread of the virus in the country. Some of the measures include the constitution of the presidential task force (PTF), provision of isolation and treatment centres for confirmed cases, and pronouncement of lockdown order by the president and some state governors. Amidst these measures, cartoonists (artists, or authors in literary context) have taken to the media to creatively present humorous and satirical depictions of the pandemic and social realities in the fight against it. This study thus analyses the humorous and satirical depiction of the pandemic in the Nigerian context using selected cartoons. These cartoons can be classified as graphic literary texts that can be subjected to different interpretations. The cartoons/texts are selected from the Facebook pages of popular Nigerian cartoonists/authors. A total of 10 cartoons/texts were randomly selected between March and April 2020. The study adopts two models/theories in interpreting the cartoons: Suls's incongruity resolution (IR) model operationalizes linguistic tool of lexicalization, re-lexicalisation, and shared sociocultural knowledge to explicate humour and satire in the cartoons, and Structuralism, which requires human behaviour (as represented in texts or cartoons) to be understood in the context of a broad social system (otherwise called structures) in which they exist. The study observed that the cartoons are not just independent texts or images but that they are products of the Nigerian social condition. It equally revealed that the cartoonists have deployed verbal and non-verbal incongruity to present comical images that show beliefs of Nigerians about the pandemic and the level of the country's preparedness in flattening the curve of the contraction of the virus.
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Jovanovic, Bozidar. "Noether symmetries and integrability in time-dependent Hamiltonian mechanics." Theoretical and Applied Mechanics 43, no. 2 (2016): 255–73. http://dx.doi.org/10.2298/tam160121009j.
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We consider Noether symmetries within Hamiltonian setting as transformations that preserve Poincar?-Cartan form, i.e., as symmetries of characteristic line bundles of nondegenerate 1-forms. In the case when the Poincar?-Cartan form is contact, the explicit expression for the symmetries in the inverse Noether theorem is given. As examples, we consider natural mechanical systems, in particular the Kepler problem. Finally, we prove a variant of the theorem on complete (non-commutative) integrability in terms of Noether symmetries of time-dependent Hamiltonian systems.
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Pett, Emma. "‘Blood, guts and Bambi eyes’: Urotsukidoji and the Transcultural Reception and Regulation of Anime." Journal of British Cinema and Television 13, no. 3 (2016): 390–408. http://dx.doi.org/10.3366/jbctv.2016.0326.
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The regulation and reception of anime in Britain has, historically, been fraught with difficulty. In 1992, the British Board of Film Classification (BBFC) rejected the first instalment of Urotsukidoji, a controversial series of erotic anime, on the grounds of its sexually explicit content; this decision set a precedent for the way in which they would continue to censor anime for the following two decades. Nearly twenty years later, in 2009, Clause 62 of the Coroners and Justice Act, also colloquially known as the ‘Dangerous Cartoons Act’, made it a criminal offence to possess non-photographic pornographic images of children, including CGI, cartoons, manga images and drawings. Through an examination of the BBFC's archival materials on Urotsukidoji – Legend of the Overfiend, supplemented by references to a small number of newspaper articles published during this period, this article offers a range of insights into the historical context in which the current series of debates surrounding the ‘Dangerous Cartoons Act’ can be situated and assessed. These are used to consider the transcultural flow of genres across national borders, and the difficulties that a regulator from one culture encounters when dealing with controversial material originating from another, such as Japan, that has a substantially different set of social values and artistic conventions. Furthermore, this case highlights the important role played by distribution companies in shaping the production and evolution of genres within the transcultural marketplace.
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Fukshansky, Lenny. "On Effective Witt Decomposition and the Cartan–Dieudonné Theorem." Canadian Journal of Mathematics 59, no. 6 (2007): 1284–300. http://dx.doi.org/10.4153/cjm-2007-055-4.
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AbstractLetKbe a number field, and letFbe a symmetric bilinear form in 2Nvariables overK. LetZbe a subspace ofKN. A classical theorem of Witt states that the bilinear space (Z,F) can be decomposed into an orthogonal sum of hyperbolic planes and singular and anisotropic components. We prove the existence of such a decomposition of small height, where all bounds on height are explicit in terms of heights ofFandZ. We also prove a special version of Siegel's lemma for a bilinear space, which provides a small-height orthogonal decomposition into one-dimensional subspaces. Finally, we prove an effective version of the Cartan–Dieudonné theorem. Namely, we show that every isometry σ of a regular bilinear space (Z,F) can be represented as a product of reflections of bounded heights with an explicit bound on heights in terms of heights ofF,Z, and σ.
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Neeb, Karl-Hermann, and Ivan Penkov. "Cartan Subalgebras of." Canadian Mathematical Bulletin 46, no. 4 (2003): 597–616. http://dx.doi.org/10.4153/cmb-2003-056-1.
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AbstractLet V be a vector space over a field of characteristic zero and V* be a space of linear functionals on V which separate the points of V. We consider V ⊗ V* as a Lie algebra of finite rank operators on V, and set (V, V*) := V ⊗ V*. We define a Cartan subalgebra of (V, V*) as the centralizer of a maximal subalgebra every element of which is semisimple, and then give the following description of all Cartan subalgebras of (V;V*) under the assumption that is algebraically closed. A subalgebra of (V, V*) is a Cartan subalgebra if and only if it equals for some one-dimensional subspaces Vj ⊆ V and (Vj)* ⊆ V* with (Vi)* (Vj) = δij and such that the spaces . We then discuss explicit constructions of subspaces Vj and (Vj)* as above. Our second main result claims that a Cartan subalgebra of (V, V*) can be described alternatively as a locally nilpotent self-normalizing subalgebra whose adjoint representation is locally finite, or as a subalgebra h which coincides with the maximal locally nilpotent h-submodule of (V, V*), and such that the adjoint representation of is locally finite.
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Balakrishnan, Dogra, Müller, Tuitman, and Vonk. "Explicit Chabauty—Kim for the split Cartan modular curve of level 13." Annals of Mathematics 189, no. 3 (2019): 885. http://dx.doi.org/10.4007/annals.2019.189.3.6.
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Xu, Xiaoning, Yongzheng Zhang та Liangyun Chen. "The Finite-dimensional Modular Lie Superalgebra Γ". Algebra Colloquium 17, № 03 (2010): 525–40. http://dx.doi.org/10.1142/s1005386710000507.
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A new family of finite-dimensional modular Lie superalgebras Γ is defined. The simplicity and generators of Γ are studied and an explicit description of the derivation superalgebra of Γ is given. Moreover, it is proved that Γ is not isomorphic to any known Lie superalgebra of Cartan type.
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DE BOER, JAN, and LÁSZLÓ FEHÉR. "AN EXPLICIT CONSTRUCTION OF WAKIMOTO REALIZATIONS OF CURRENT ALGEBRAS." Modern Physics Letters A 11, no. 24 (1996): 1999–2011. http://dx.doi.org/10.1142/s0217732396001995.
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It is known from a work of Feigin and Frenkel that a Wakimoto type, generalized free field realization of the current algebra [Formula: see text] can be associated with each parabolic subalgebra [Formula: see text] of the Lie algebra [Formula: see text], where in the standard case [Formula: see text] is the Cartan and [Formula: see text] is the Borel subalgebra. In this letter we obtain an explicit formula for the Wakimoto realization in the general case. Using Hamiltonian reduction of the WZNW model, we first derive a Poisson bracket realization of the [Formula: see text]-valued current in terms of symplectic bosons belonging to [Formula: see text] and a current belonging to [Formula: see text]. We then quantize the formula by determining the correct normal ordering. We also show that the affine-Sugawara stress-energy tensor takes the expected quadratic form in the constituents.
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Gaber, Samah, and Abeer Al Elaiw. "Inextensible Flows of Null Cartan Curves in Minkowski Space R2,1." Universe 9, no. 3 (2023): 125. http://dx.doi.org/10.3390/universe9030125.
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This research focused on studying the flows of a null Cartan curve specified by the velocity and acceleration fields. We have proven that the tangential and normal velocities are influenced by the binormal velocity along the motion. The velocity fields are used to drive the time evolution equations for the Cartan frame and the torsion of the null curve. The objective of this work is to construct a family of inextensible null Cartan curves from the flows of the initial null Cartan curve. The surface formed by this family of inextensible flows of the null Cartan curve is obtained numerically and visualized. In this paper, we refer to the surface traced out by the family of the null Cartan curve as the generated or constructed surface. We present a novel model for the inextensible null Cartan curve, which moves with a constant binormal velocity to describe the process of constructing a family of null Cartan curves. Through this model, the time evolution equation for the torsion of the inextensible null Cartan curve arises as the Korteweg-de Vries (K-dV) equation, and we obtain and visualize the soliton solutions. The soliton solutions represent the torsion of the family of null Cartan curves at various time values. We construct the family of inextensible null Cartan curves and visualize the generated surface. In addition, we investigate the flows of inextensible null Cartan curves specified by acceleration fields, and we obtain the explicit relationships between the acceleration and velocity functions. Finally, we provide an application for the inextensible flows of the null Cartan curve with constant normal acceleration.
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WANG, WEIQIANG. "DUALITY IN INFINITE DIMENSIONAL FOCK REPRESENTATIONS." Communications in Contemporary Mathematics 01, no. 02 (1999): 155–99. http://dx.doi.org/10.1142/s0219199799000080.
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We construct and study in detail various dual pairs acting on some infinite dimensional Fock representations between a finite dimensional classical Lie group and a completed infinite rank affine algebra associated to an infinite affine Cartan matrix. We give explicit decompositions of a Fock representation into a direct sum of irreducible isotypic subspaces with respect to the action of a dual pair, present explicit formulas for the highest weight vectors and calculate the corresponding highest weights. We further outline applications of these dual pairs to the study of tensor products of modules of such an infinite dimensional Lie algebra.
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Wangberg, Aaron, та Tevian Dray. "E6, the group: The structure of SL(3, 𝕆)". Journal of Algebra and Its Applications 14, № 06 (2015): 1550091. http://dx.doi.org/10.1142/s0219498815500917.
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We present the subalgebra structure of 𝔰𝔩(3, 𝕆), a particular real form of 𝔢6 chosen for its relevance to particle physics and its close relation to generalized Lorentz groups. We use an explicit representation of the Lie group 𝔰𝔩(3, 𝕆) to construct the multiplication table of the corresponding Lie algebra 𝔰𝔩(3, 𝕆). Both the multiplication table and the group are then utilized to find various nested chains of subalgebras of 𝔰𝔩(3, 𝕆), in which the corresponding Cartan subalgebras are also nested where possible. Because our construction involves the Lie group, we simultaneously obtain an explicit representation of the corresponding nested chains of subgroups of SL(3, 𝕆).
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Feng, Zhiming. "The first two coefficients of the Bergman function expansions for Cartan–Hartogs domains." International Journal of Mathematics 29, no. 06 (2018): 1850043. http://dx.doi.org/10.1142/s0129167x1850043x.
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Let [Formula: see text] be a globally defined real Kähler potential on a domain [Formula: see text], and [Formula: see text] be a Kähler metric on the Hartogs domain [Formula: see text] associated with the Kähler potential [Formula: see text]. First, we obtain explicit formulas of the coefficients [Formula: see text] of the Bergman function expansion for the Hartogs domain [Formula: see text] in a momentum profile [Formula: see text]. Second, using explicit expressions of [Formula: see text], we obtain necessary and sufficient conditions for the coefficients [Formula: see text] to be constants. Finally, we obtain all the invariant complete Kähler metrics on Cartan–Hartogs domains such that their the coefficients [Formula: see text] of the Bergman function expansions are constants.
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García-Aguilar, Alberto. "Concha Méndez y los dibujos animados: las Silly Symphonies de Walt Disney en El Carbón y la Rosa (1935)." Philologica Canariensia, no. 30 (2024) (June 22, 2024): 131–47. http://dx.doi.org/10.20420/phil.can.2024.670.
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In the 1920s and 1930s in Spain, several authors expressed their admiration for cartoons in their literary texts. Among the works that were inspired by these films, the children’s theatre piece El Carbón y la Rosa (1935), which Concha Méndez published in Madrid, stands out. Besides that, the writer made explicit the link of this text with Walt Disney’s animated films and the influence of the short films that belong to the Silly Symphonies can be seen in it. For this reason, this work aims to analyze how Méndez was inspired by them to create a theatrical play full of color, music and an anthropomorphic nature with the aim to wonder children.
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Yang, Kichoon. "Invariant Kähler metrics and projective embeddings of the flag manifold." Bulletin of the Australian Mathematical Society 49, no. 2 (1994): 239–47. http://dx.doi.org/10.1017/s0004972700016300.
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We determine explicitly the space of invariant Hermitian and Kähler metrics on the flag manifold. In particular, we show that a Killing metric is not Kähler. The Chern forms are also computed in terms of the Maurer–Cartan form, and this calculation is used to prove that the flag manifold is projective algebraic. An explicit projective embedding of the flag manifold is also given.
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Kondratiev, Gennadii V. "The Method of Exterior Forms in Linear Programming." Bulletin of Mathematical Sciences and Applications 14 (February 2016): 7–12. http://dx.doi.org/10.18052/www.scipress.com/bmsa.14.7.
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The method of exterior forms by H. Grassmann and E. Cartan is used for solving the linear programming problem. It captures the essence of the problem in a convenient, compact form. The solution is presented by Cramer’s like rules and is reduced to computing the set of values of the objective function at the vertices of the polyhedron constraints, without any explicit calculation of the vertices themselves.
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Wang*, An, and Wei Ping Yin**. "Einstein–Kähler Metric with Explicit Formula on Super–Cartan Domain of the Fourth Type." Acta Mathematica Sinica, English Series 22, no. 2 (2006): 367–76. http://dx.doi.org/10.1007/s10114-005-0675-5.
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ARBOUR, BENOÎT, and DRAGOMIR Ž. ĐOKOVIĆ. "ON SEMIREGULAR NILPOTENT ORBITS IN SIMPLE LIE ALGEBRAS OF TYPE D." Journal of Algebra and Its Applications 01, no. 03 (2002): 341–56. http://dx.doi.org/10.1142/s0219498802000252.
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We derive explicit formulae for the characteristics H(k) of the semiregular nilpotent orbits Dn(ak) of the simple complex Lie algebra [Formula: see text] of type Dn. These formulae express H(k) as an integral linear combination of a basis of the Cartan subalgebra [Formula: see text] of [Formula: see text]. For that purpose we use several suitable bases of [Formula: see text] consisting of coroots. We also construct several explicit standard triples (E, H, F) with H = H(k), and E, F ∈ Dn(ak). Similar triples are constructed also for each connected component of the intersection of the orbit Dn(ak) with the split real form [Formula: see text] and the real form [Formula: see text] of [Formula: see text].
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HIRONAKA, YUMIKO, and YASUSHI KOMORI. "SPHERICAL FUNCTIONS ON THE SPACE OF p-ADIC UNITARY HERMITIAN MATRICES." International Journal of Number Theory 10, no. 02 (2014): 513–58. http://dx.doi.org/10.1142/s1793042113501066.
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We investigate the space X of unitary hermitian matrices over 𝔭-adic fields through spherical functions. First we consider Cartan decomposition of X, and give precise representatives for fields with odd residual characteristic, i.e. 2 ∉ 𝔭. From Sec. 2.2 till the end of Sec. 4, we assume odd residual characteristic, and give explicit formulas of typical spherical functions on X, where Hall–Littlewood symmetric polynomials of type Cn appear as a main term, parametrization of all the spherical functions. By spherical Fourier transform, we show that the Schwartz space [Formula: see text] is a free Hecke algebra [Formula: see text]-module of rank 2n, where 2n is the size of matrices in X, and give the explicit Plancherel formula on [Formula: see text].
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Fan, Xiaoming, Yongsheng Zhu, and Haijing Pan. "Singularity Analysis of Lightlike Hypersurfaces Generated by Null Cartan Curves in Minkowski Spacetime." Axioms 14, no. 4 (2025): 279. https://doi.org/10.3390/axioms14040279.
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This study investigates the singularity structures of lightlike hypersurfaces generated by null Cartan curves in Minkowski spacetime. We construct a hierarchical geometric framework consisting of a lightlike hypersurface LHβ, a critical lightlike surface LSβ, and a degenerate curve LCβ, with dimensions decreasing from 3D to 1D. Using singularity theory, we identify a novel geometric invariant σ(t) that governs the emergence of specific singularity types, including C(2,3)×R2, SW×R, BF, C(BF), C(2,3,4)×R, and (2,3,4,5)-cusp. These singularities exhibit increasing degeneracy as the hierarchy progresses, with contact orders between the lightlike hyperplane HSt0L and the curve β systematically intensifying. An explicit example demonstrates the construction of these objects and validates the theoretical results. This work establishes a systematic connection between null Cartan curves, stratified singularities, and contact geometry.
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Lim, Yongdo. "Best Approximation in Riemannian Geodesic Submanifolds of Positive Definite Matrices." Canadian Journal of Mathematics 56, no. 4 (2004): 776–93. http://dx.doi.org/10.4153/cjm-2004-035-5.
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AbstractWe explicitly describe the best approximation in geodesic submanifolds of positive definite matrices obtained from involutive congruence transformations on the Cartan-Hadamard manifold Sym(n, ℝ)++ of positive definite matrices. An explicit calculation for the minimal distance function from the geodesic submanifold Sym(p, ℝ)++ × Sym(q, ℝ)++ block diagonally embedded in Sym(n, ℝ)++ is given in terms of metric and spectral geometric means, Cayley transform, and Schur complements of positive definite matrices when p ≤ 2 or q ≤ 2.
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Fujisawa, Ko. "Thom form in equivariant Čech–de Rham theory." International Journal of Mathematics 29, no. 08 (2018): 1850050. http://dx.doi.org/10.1142/s0129167x18500507.
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In the present paper, we provide the foundation of a [Formula: see text]-equivariant Čech–de Rham theory for a compact Lie group [Formula: see text] by using the Cartan model of equivariant differential forms. Our approach is quite elementary without referring to the Mathai–Quillen framework. In particular, by a direct computation, we give an explicit formula of the [Formula: see text]-equivariant Thom form of [Formula: see text], which deforms the classical Bochnor–Martinelli kernel. Also, we discuss a version of equivariant Riemann–Roch formula.
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NUROWSKI, PAWEL. "CONFORMAL CONNECTION AND EQUIVALENCE PROBLEM FOR THIRD ORDER ODEs." International Journal of Modern Physics A 17, no. 20 (2002): 2770. http://dx.doi.org/10.1142/s0217751x02011977.
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The equivalence problem for the third order ODEs solved by E. Cartan1 and S. S. Chern2 is reconsidered. We consider third order ODEs of the form y′′′ = F(x,y,y′,y′′) for which the Wunshman invariant I vanishes. All such ODEs split into equivalence classes with respect to the contact transformations of the variables. As shown by E. T. Newman3 and collaborators such equations are also in one-to-one correspondence with conformal classes of Lorentian three-metrics. We supplement Cartan-Chern-Newman results by providing explicit expressions for all the contact invariants of an ODE with I = 0. The invariants are explicitly written in terms of the function F and its partial derivatives. Explicit expression for the associated Cartan's O(2,3) connection is also given. The curvature of this conformal connection is reinterpreted in terms of the Cotton-York tensor of the Lorentzian three-metric associated with the equation.
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EZHOV, V. V., A. V. ISAEV, and G. SCHMALZ. "INVARIANTS OF ELLIPTIC AND HYPERBOLIC CR-STRUCTURES OF CODIMENSION 2." International Journal of Mathematics 10, no. 01 (1999): 1–52. http://dx.doi.org/10.1142/s0129167x99000021.
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We reduce CR-structures on smooth elliptic and hyperbolic manifolds of CR-codimension 2 to parallelisms thus solving the problem of global equivalence for such manifolds. The parallelism that we construct is defined on a sequence of two principal bundles over the manifold, takes values in the Lie algebra of infinitesimal automorphisms of the quadric corresponding to the Levi form of the manifold, and behaves "almost" like a Cartan connection. The construction is explicit and allows us to study the properties of the parallelism as well as those of its curvature form. It also leads to a natural class of "semi-flat" manifolds for which the two bundles reduce to a single one and the parallelism turns into a true Cartan connection. In addition, for real-analytic manifolds we describe certain local normal forms that do not require passing to bundles, but in many ways agree with the structure of the parallelism.
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Gomes, Vivianne Limeira Azevedo, Sheylla Miris de Lima Santos, Thiago Felipe Maia Lisboa, and Allyson Carvalho de Araújo. "A Cultura da Convergência no Cartola FC." LICERE - Revista do Programa de Pós-graduação Interdisciplinar em Estudos do Lazer 22, no. 1 (2019): 1–23. http://dx.doi.org/10.35699/1981-3171.2019.12309.
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Este artigo propõe a análise do fantasy game Cartola FC, a partir da noção de cultura da convergência de JENKINS (2009), e aponta indicadores para reflexões no campo do consumo das práticas sociais e de lazer. Para tanto, abordamos o conceito da convergência, no âmbito do game, para explicar como o conteúdo de mídia é retransmitido no ciberespaço por meio da interação entre os participantes e as mídias. Para verificar quais suportes midiáticos subsidiaram a produção dos conteúdos, utilizamos a netnografia, uma vez que essa perspectiva coexiste com as dimensões da convergência nas estratégias de divulgação do jogo. Percebe-se que são várias as formas de participação dos usuários, alimentadas por novas interações a cada rodada do campeonato. Isso permite pensar o consumo das mídias pelos usuários e nos parece um campo fértil de articulação sobre modelos de jogos para aprendizagem por refletirem práticas de gamificação.
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Loumi-Fergane, Halima. "Multivector Fields of Noether Symmetries in the Lagrangian Formalism and Belinfante Tensor." Journal of Geometry and Symmetry in Physics 61 (November 30, 2021): 53–78. http://dx.doi.org/10.7546/jgsp-61-2021-53-78.
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Elsewhere, we gave the explicit expressions of the multivectors fields associated to infinitesimal symmetries which gave rise to Noether currents for classical field theories and relativistic mechanic using the Second Order Partial Differential Equation SOPDE condition for the Poincar\'e-Cartan form.\\ The main objective of this paper is to reformulate the multivector fields associated to translational and rotational symmetries of the gauge fields in particular those of the electromagnetic field which gave rise to symmetrical and invariant gauge energy-momentum tensor and the orbital angular momentum. The spin angular momentum appears however because of the internal symmetry inside the fiber.
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ASCHIERI, PAOLO, and LEONARDO CASTELLANI. "AN INTRODUCTION TO NONCOMMUTATIVE DIFFERENTIAL GEOMETRY ON QUANTUM GROUPS." International Journal of Modern Physics A 08, no. 10 (1993): 1667–706. http://dx.doi.org/10.1142/s0217751x93000692.
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We give a pedagogical introduction to the differential calculus on quantum groups by stressing at all stages the connection with the classical case (q→1 limit). The Lie derivative and the contraction operator on forms and tensor fields are found. A new, explicit form of the Cartan-Maurer equations is presented. The example of a bicovariant differential calculus on the quantum group GL q(2) is given in detail. The softening of a quantum group is considered, and we introduce q curvatures satisfying q Bianchi identities, a basic ingredient for the construction of q gravity and q gauge theories.
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Høigilt, Jacob. "EGYPTIAN COMICS AND THE CHALLENGE TO PATRIARCHAL AUTHORITARIANISM." International Journal of Middle East Studies 49, no. 1 (2017): 111–31. http://dx.doi.org/10.1017/s0020743816001161.
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AbstractAdult comics are a new medium in the Arab world. This article is the first in-depth study of their emergence and role within Arab societies. Focused on Egypt, it shows how adult comics have boldly addressed political and social questions. Seeing them as part of a broader cultural efflorescence in Egypt, I argue that, against patriarchal authoritarianism, adult comics have expressed an alternative ideology of tolerance, civic rights and duties, individualism, creativity, and criticism of power. Specifically, they present a damning critique of Egypt's authoritarian order, as well as of the marginalization of women and broader gender dynamics in Egyptian society. Through frank humor, a playful style, and explicit graphics, they give voice to the concerns of young Egyptians. Connecting comics to other art forms such as music, graffiti, and political cartoons, I situate them within a critical cultural movement that came to the fore with the Egyptian uprising of 2011.
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TANAKA, YUICHIRO. "VISIBLE ACTIONS ON FLAG VARIETIES OF TYPE B AND A GENERALISATION OF THE CARTAN DECOMPOSITION." Bulletin of the Australian Mathematical Society 88, no. 1 (2012): 81–97. http://dx.doi.org/10.1017/s0004972712000615.
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AbstractWe give a generalisation of the Cartan decomposition for connected compact Lie groups of type B motivated by the work on visible actions of Kobayashi [‘A generalized Cartan decomposition for the double coset space $(U(n_{1})\times U(n_{2})\times U(n_{3})) \backslash U(n)/ (U(p)\times U(q))$’, J. Math. Soc. Japan59 (2007), 669–691] for type A groups. Suppose that $G$ is a connected compact Lie group of type B, $\sigma $ is a Chevalley–Weyl involution and $L$, $H$ are Levi subgroups. First, we prove that $G=LG^{\sigma }H$ holds if and only if either (I) both $H$ and $L$ are maximal and of type A, or (II) $(G,H)$ is symmetric and $L$ is the Levi subgroup of an arbitrary maximal parabolic subgroup up to switching $H$ and $L$. This classification gives a visible action of $L$ on the generalised flag variety $G/H$, as well as that of the $H$-action on $G/L$ and of the $G$-action on $(G\times G)/(L\times H)$. Second, we find an explicit ‘slice’ $B$ with $\dim B=\mathrm {rank}\, G$ in case I, and $\dim B=2$ or $3$ in case II, such that a generalised Cartan decomposition $G=LBH$holds. An application to multiplicity-free theorems of representations is also discussed.
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Alewell, Dorothea, Tobias Bruegger, Katja Rost, and Peter Wirtz. "Introduction to the Special Issue "Religion, Spirituality, and Faith in a Secular Business World." management revue 34, no. 2 (2023): 96–115. http://dx.doi.org/10.5771/0935-9915-2023-2-96.
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In his book The Protestant Ethic and the Spirit of Capitalism, Weber (1904) identified the Calvinist type of the Protestant ethic as a significant influence in shaping capitalism in Northern Europe. We may observe different transformation processes in geographical areas influenced by other religious traditions, such as Islam, Judaism, Confucianism, and Buddhism. Nevertheless, religion also played a decisive role in forming a modern economic system. In some Western societies, religion is overwhelmingly practised in the private sphere, and religion no longer seems to have any explicit meaning in their enterprises. Nevertheless, religion continues to play a major role in other societies, and even in very secular societies, values, norms, and business convictions are not completely detached from religious beliefs. This is indicated in the modern business world by various developments: the involvement of continental European banks in Islamic banking, the dispute over the publication of religious cartoons in magazines, the debate over the wearing of religious symbols such as the headscarf in the business world, and the integration of religious groups in companies in the context of diversity management discourses.
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ANSELMO, F., J. ELLIS, D. V. NANOPOULOS, and G. VOLKOV. "UNIVERSAL CALABI–YAU ALGEBRA: TOWARDS AN UNIFICATION OF COMPLEX GEOMETRY." International Journal of Modern Physics A 18, no. 30 (2003): 5541–612. http://dx.doi.org/10.1142/s0217751x03016136.
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We present a universal normal algebra suitable for constructing and classifying Calabi–Yau spaces in arbitrary dimensions. This algebraic approach includes natural extensions of reflexive weight vectors to higher dimensions, related to Batyrev's reflexive polyhedra, and their n-ary combinations. It also includes a "dual" construction based on the Diophantine decomposition of invariant monomials, which provides explicit recurrence formulae for the numbers of Calabi–Yau spaces in arbitrary dimensions with Weierstrass, K3, etc., fibrations. Our approach also yields simple algebraic relations between chains of Calabi–Yau spaces in different dimensions, and concrete visualizations of their singularities related to Cartan–Lie algebras. This Universal Calabi–Yau algebra is a powerful tool for deciphering the Calabi–Yau genome in all dimensions.
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PUETZFELD, D. "A NON-STANDARD COSMOLOGICAL MODEL." International Journal of Modern Physics A 17, no. 20 (2002): 2772. http://dx.doi.org/10.1142/s0217751x02011990.
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A non-standard cosmological model in Weyl-Cartan spacetime was presented1. Within this model the non-Riemannian quantities, i.e. torsion Tα and nonmetricity Qαβ, are proportional to the Weyl 1-form. The hypermomentum Δαβ depends on our ansatz for the nonmetricity and vice versa. In contrast to earlier investigations2 this model incorporates an additional quadratic nonmetricity term in the gauge Lagrangian, the Lagrangian under consideration reads [Formula: see text] We derived the explicit form of the field equations for different cases and provided solutions for a broad class of parameters. It was demonstrated that it is possible to construct models in which the non-Riemannian quantities die out with time. We showed how our model fits into the more general framework of metric-affine gravity (MAG)3. Additionally, we presented some preliminary results from our search for the best-fit parameters4 which was performed by using recent type Ia supernova data5.