The global pandemic of COVID 19 has changed consumer behaviour to reduce the risk. This is common for all interpersonal interactions of individuals especially in maintaining the recommended interpersonal distance based on the recommendations from the health experts. Sri Lanka as a developing country affected by COVID 19, observed changes in individuals' day today’ consumption decision making due to pandemic. Importantly the retailing sector is highly influenced by the conditions since the frequency of interpersonal interactions and degree of interaction is (...) higher in the retailing sector. Interestingly the retailing sector with its largest contributor, the SMEs need to identify the unique changes that happen to the consumer behaviour in responding to them. Accordingly, the objective of the study is to examine the impact of infectious disease risk on the perceived retail crowding in two perspectives of human density and the spatial density. The study has used a quantitative survey in collecting data with the online self-administrated questionnaire with a sample of 100 consumers. Data analysis has been done by using a PLS-SEM with the support of SmartPLS version 3. The key findings of the study emphasize the significant positive influence of infectious disease risk on human density as well as on the spatial density. Based on the findings the study attempts to provide the implications for the retailing industry to cope with situational changes in the environment. (shrink)

Metaphors for describing the introduction, impacts, and management of non-native species are numerous and often quite outspoken. Policy-makers have adopted increasingly disputed metaphorical terms from scientific discourse. We performed a critical analysis of the use of strong metaphors in reporting scientific findings to policy-makers. Our analysis shows that perceptions of harm, invasiveness or nativeness are dynamic and inevitably display multiple narratives in science, policy or management. Improving our awareness of multiple expert and stakeholder narratives that exist in the context of (...) non-native species management, as well as metaphorical alternatives, is critical. (shrink)

Bài nghiên cứu kiểm tra hiệu ứng bất cân xứng của đòn bẩy tài chính trên thị trường tài chính cận biên của Việt Nam. Thông qua việc áp dụng mô hình kinh tế lượng EGARCH và TARCH, bài nghiên cứu đã xác nhận sự tồn tại của hiệu ứng bất cân xứng của tin tức đến mức độ rủi ro trên thị trường chứng khoán Việt Nam. Cụ thể, tin tức tiêu cực có tác động mạnh hơn so với (...) tin tức tích cực đến sự biến động của giá tài sản trong tương lai. Ngoài ra, mô hình TARCH có sự phù hợp hơn so với mô hình EGARCH dựa trên sự kiểm tra chỉ tiêu tiêu chuẩn thông tin Akaike (AIC) và tiêu chuẩn thông tin Bayesian (BIC). (shrink)

This essay considers how scholarly approaches to the development of molecular biology have too often narrowed the historical aperture to genes, overlooking the ways in which other objects and processes contributed to the molecularization of life. From structural and dynamic studies of biomolecules to cellular membranes and organelles to metabolism and nutrition, new work by historians, philosophers, and STS scholars of the life sciences has revitalized older issues, such as the relationship of life to matter, or of physicochemical inquiries to (...) biology. This scholarship points to a novel molecular vista that opens up a pluralist view of molecularizations in the twentieth century and considers their relevance to current science. (shrink)

Abstract: As artificial intelligence (AI) technologies become increasingly integrated into various sectors, ethical considerations surrounding their development and deployment have become paramount. This paper explores the multifaceted ethical landscape of AI, focusing on key challenges such as bias, transparency, privacy, and accountability. It examines how these issues manifest in AI systems and their impact on society. The paper also evaluates current approaches and solutions aimed at mitigating these ethical concerns, including regulatory frameworks, ethical guidelines, and best practices for AI design. (...) By providing a comprehensive analysis of these challenges and solutions, this paper aims to contribute to the ongoing discourse on responsible AI development and implementation, advocating for a balance between technological innovation and ethical integrity. (shrink)

Монографія "Проблеми та перспективи розвитку системи вищої освіти в сучасному суспільстві" присвячена висвітленню особливостей функціонування сучасної вищої освіти, що виникають під впливом сучасних викликів у VUCA-світі, а також – визначенню перспектив подальшого розвитку вищої освіти. Особливу увагу авторам монографії потрібно приділяти вивченню тих умов реформування вищої освіти, які забезпечать сталий та результативний розвиток майбутніх фахівців. Автори колективної монографії дослідили комплекс нагальних проблем вищої освіти в Україні та за кордоном; визначили шляхи їх вирішення в умовах сучасних викликів на тлі трансформаційних змін (...) у суспільстві. Це, у свою чергу, вплинуло на побудову логічної структури монографії. У першому розділі монографії "Врядування у системі вищої освіти України" висвітлено проблеми ефективного управління в сучасних університетах, а також перехід від управління до врядування у закладах вищої освіти та фактори, що сприяють цьому процесу. Розглянуто український досвід щодо участі студентів у діяльності університетів. У другому розділі "Розвиток потенціалу університетів: від теорії до практики" автори вивчають фактори, які впливають на розвиток ЗВО. Особлива увага приділяється вивченню розвитку наукового-педагогічного персоналу та впровадженню інноваційних технологій у розвиток працівників закладів вищої освіти. У третьому розділі «Забезпечення якості вищої освіти: європейський та український досвід» увагу авторів монографії зосереджено на вивченні сучасних підходів до оцінювання студентів та аналізі стейкхолдерів забезпечення якості системі вищої освіти в Україні та в ЄС. (shrink)

The aim of this paper is to provide a conceptual framework that will help in understanding and evaluating, along social and ethical lines, the issue of killing day-old male chicks and two alternative directions of responsible innovations to solve this issue. The following research questions are addressed: Why is the killing of day-old chicks morally problematic? Are the proposed alternatives morally sound? To what extent do the alternatives lead to responsible innovation? The conceptual framework demonstrates clearly that there is a (...) moral “lock-in”, and why the killing of day-old chicks is indeed an issue. Furthermore, it is shown that both alternative directions address some important objections with regard to the killing of day-old chicks, but that they also raise new dilemmas. It also becomes clear that the framework enables and secures anticipation, reflection, deliberation with and responsiveness to stakeholders, the four dimensions of responsible innovation, in a structured way. (shrink)

The Protein Ontology (PRO) provides a formal, logically-based classification of specific protein classes including structured representations of protein isoforms, variants and modified forms. Initially focused on proteins found in human, mouse and Escherichia coli, PRO now includes representations of protein complexes. The PRO Consortium works in concert with the developers of other biomedical ontologies and protein knowledge bases to provide the ability to formally organize and integrate representations of precise protein forms so as to enhance accessibility to results of protein (...) research. PRO (http://pir.georgetown.edu/pro) is part of the Open Biomedical Ontologies (OBO) Foundry. (shrink)

The current study is a pilot trial to examine the effects of a nonelective, classroom-based, teacher-implemented, mindfulness meditation intervention on standard clinical measures of mental health and affect in middle school children. A total of 101 healthy sixth-grade students (55 boys, 46 girls) were randomized to either an Asian history course with daily mindfulness meditation practice (intervention group) or an African history course with a matched experiential activity (active control group). Self-reported measures included the Youth Self Report (YSR), a modified (...) Spielberger State-Trait Anxiety Inventory, and the Cognitive and Affective Mindfulness Measure –Revised. Both groups decreased significantly on clinical syndrome subscales and affect but did not differ in the extent of their improvements. Meditators were significantly less likely to develop suicidal ideation or thoughts of self-harm than controls. These results suggest that mindfulness training may yield both unique and non-specific benefits that are shared by other novel activities. (shrink)

Abstract: Fruits are a rich source of energy, minerals and vitamins. They also contain fiber. There are many fruits types such as: Apple and pears, Citrus, Stone fruit, Tropical and exotic, Berries, Melons, Tomatoes and avocado. Classification of fruits can be used in many applications, whether industrial or in agriculture or services, for example, it can help the cashier in the hyper mall to determine the price and type of fruit and also may help some people to determining whether a (...) certain type of fruit meets their nutritional requirement. In this paper, machine learning based approach is presented for classifying and identifying 10 different fruit with a dataset that contains 6847 images use 4793 images for training, 1027 images for validation and 1027 images for testing. A deep learning technique that extensively applied to image recognition was used. We used 70% from image for training and 15% from image for validation 15% for testing. Our trained model achieved an accuracy of 100% on a held-out test set, demonstrating the feasibility of this approach. (shrink)

Mindfulness training has been used to improve emotional wellbeing in early adolescents. However, little is known about treatment outcome moderators, or individual differences that may differentially impact responses to treatment. The current study focused on gender as a potential moderator for affective outcomes in response to school-based mindfulness training. Sixth grade students (N = 100) were randomly assigned to either the six weeks of mindfulness meditation or the active control group as part of a history class curriculum. Participants in the (...) mindfulness meditation group completed short mindfulness meditation sessions four to five times per week, in addition to didactic instruction (Asian history). The control group received matched experiential activity in addition to didactic instruction (African history) from the same teacher with no meditation component. Self-reported measures of emotional wellbeing/affect, mindfulness, and self-compassion were obtained at pre and post intervention. Meditators reported greater improvement in emotional wellbeing compared to those in the control group. Importantly, gender differences were detected, such that female meditators reported greater increases in positive affect compared to females in the control group, whereas male meditators and control males displayed equivalent gains. Uniquely among females but not males, increases in self-reported self-compassion were associated with improvements in affect. These findings support the efficacy of school-based mindfulness interventions, and interventions tailored to accommodate distinct developmental needs of female and male adolescents. (shrink)

Background: Mint is a grassy, perennial plant, belonging to the oral platoon, fast growing and spreading, its leaves are green in color, fragrant, tart, refreshing, square-shaped leg, bifurcated, erect, ranging in height from (10 - 201 cm). Home to Europe and Asia. The mint plant has many benefits, the most important of which are pain relief, treatment of gallbladder disorders, the expulsion of gases, anti-inflammatory, and relaxing nerves. While the mint plant is the ideal option for the start of gardens, (...) it is prone to some common diseases that affect the plant's growth. Objectives: The main goal of this expert system is to get the appropriate diagnosis of disease and the correct treatment. Methods: In this paper, the design of the proposed Expert System was produced to help Farmers and those interested in agriculture in diagnosing many of the Mint diseases such as Mint rust, Verticillium wilt, Anthracnose, Powdery mildew, Black Stem Rot, Stem and stolon canker, Septoria leaf spot. The proposed expert system presents an overview of mint diseases are given, the cause of diseases outlined and the treatment of disease whenever possible is given out. CLIPS Expert System language was used for designing and implementing the proposed expert system. Results: The proposed Mint diseases diagnosis expert system was evaluated by Agricultural Students at AL Azhar University and some friends interested in agriculture and they were satisfied with its performance. Conclusions: The proposed expert system is very useful for Farmers and those interested in agriculture. (shrink)

Consumers often buy products not because of their attributes per se but rather because of the ultimate benefits that these attributes provide, in turn leading to the satisfaction of ultimate values. And Apple is a type of company which understand their customers & future aspects of innovation in a way that no other companies do. That’s the reason that apple is at No. 1 place in Top 50 Most innovative companies. This article endeavors to recognize the consumer perception towards the (...) Apple products and what is Apple’s ideology. In this article the researcher has listed down 12 variables which affect the consumer behavior most while purchasing Apple products. The researcher took 50 sample sizes to make this paper and this study is being done in Tiruchirappalli District. To prepare the factors, I have used Factor analysis test. (shrink)

Parkinson's Disease (PD) is a long-term degenerative disorder of the central nervous system that mainly affects the motor system. The symptoms generally come on slowly over time. Early in the disease, the most obvious are shaking, rigidity, slowness of movement, and difficulty with walking. Doctors do not know what causes it and finds difficulty in early diagnosing the presence of Parkinson’s disease. An artificial neural network system with back propagation algorithm is presented in this paper for helping doctors in identifying (...) PD. Previous research with regards to predict the presence of the PD has shown accuracy rates up to 93% [1]; however, accuracy of prediction for small classes is reduced. The proposed design of the neural network system causes a significant increase of robustness. It is also has shown that networks recognition rates reached 100%. (shrink)

The Ontology for Biomedical Investigations (OBI) is an ontology that provides terms with precisely defined meanings to describe all aspects of how investigations in the biological and medical domains are conducted. OBI re-uses ontologies that provide a representation of biomedical knowledge from the Open Biological and Biomedical Ontologies (OBO) project and adds the ability to describe how this knowledge was derived. We here describe the state of OBI and several applications that are using it, such as adding semantic expressivity to (...) existing databases, building data entry forms, and enabling interoperability between knowledge resources. OBI covers all phases of the investigation process, such as planning, execution and reporting. It represents information and material entities that participate in these processes, as well as roles and functions. Prior to OBI, it was not possible to use a single internally consistent resource that could be applied to multiple types of experiments for these applications. OBI has made this possible by creating terms for entities involved in biological and medical investigations and by importing parts of other biomedical ontologies such as GO, Chemical Entities of Biological Interest (ChEBI) and Phenotype Attribute and Trait Ontology (PATO) without altering their meaning. OBI is being used in a wide range of projects covering genomics, multi-omics, immunology, and catalogs of services. OBI has also spawned other ontologies (Information Artifact Ontology) and methods for importing parts of ontologies (Minimum information to reference an external ontology term (MIREOT)). The OBI project is an open cross-disciplinary collaborative effort, encompassing multiple research communities from around the globe. To date, OBI has created 2366 classes and 40 relations along with textual and formal definitions. The OBI Consortium maintains a web resource providing details on the people, policies, and issues being addressed in association with OBI. (shrink)

A Conspectus of A. N. Whitehead's Metaphysics .

Biomedical ontologies are emerging as critical tools in genomic and proteomic research where complex data in disparate resources need to be integrated. A number of ontologies exist that describe the properties that can be attributed to proteins; for example, protein functions are described by Gene Ontology, while human diseases are described by Disease Ontology. There is, however, a gap in the current set of ontologies—one that describes the protein entities themselves and their relationships. We have designed a PRotein Ontology (PRO) (...) to facilitate protein annotation and to guide new experiments. The components of PRO extend from the classification of proteins on the basis of evolutionary relationships to the representation of the multiple protein forms of a gene (products generated by genetic variation, alternative splicing, proteolytic cleavage, and other post-translational modification). PRO will allow the specification of relationships between PRO, GO and other OBO Foundry ontologies. Here we describe the initial development of PRO, illustrated using human proteins from the TGF-beta signaling pathway. (shrink)

Thе оutbrеаk оf thе соrоnаvirus disеаsе 2019 (СОVID-19) саusing milliоns оf pеоplе tо bе infесtеd hаs pоsеd mаjоr publiс hеаlth аnd gоvеrnаnсе сhаllеngеs. This study еvаluаtеs thе еxtеnt tо whiсh thе unаvаilаbility оf intеrnеt fоr сhildrеn tо lеаrn оnlinе during thе pаndеmiс аffесts pаrеntаl psyсhоlоgiсаl wеllbеing. Wе find thаt pаrеnts hаving nо intеrnеt fоr thеir сhildrеn tо lеаrn оnlinе during tо thе pаndеmiс аrе 40.37, 47.22, 43.68, аnd 46.90 pеrсеntаgе pоints mоrе likеly tо fееl аnxiоus, wоrriеd, displеаsеd, аnd dеprеssеd еvеry (...) dаy. Thе study саlls fоr thе еxpаnsiоn оf suppоrts fоr сhildrеn аnd fаmiliеs during thе pаndеmiс, еspесiаlly fоr disprоpоrtiоnаtеly аffесtеd соmmunitiеs. (shrink)

The Cell Ontology (CL) is designed to provide a standardized representation of cell types for data annotation. Currently, the CL employs multiple is_a relations, defining cell types in terms of histological, functional, and lineage properties, and the majority of definitions are written with sufficient generality to hold across multiple species. This approach limits the CL’s utility for cross-species data integration. To address this problem, we developed a method for the ontological representation of cells and applied this method to develop a (...) dendritic cell ontology (DC-CL). DC-CL subtypes are delineated on the basis of surface protein expression, systematically including both species-general and species-specific types and optimizing DC-CL for the analysis of flow cytometry data. This approach brings benefits in the form of increased accuracy, support for reasoning, and interoperability with other ontology resources. 104. Barry Smith, “Toward a Realistic Science of Environments”, Ecological Psychology, 2009, 21 (2), April-June, 121-130. Abstract: The perceptual psychologist J. J. Gibson embraces a radically externalistic view of mind and action. We have, for Gibson, not a Cartesian mind or soul, with its interior theater of contents and the consequent problem of explaining how this mind or soul and its psychological environment can succeed in grasping physical objects external to itself. Rather, we have a perceiving, acting organism, whose perceptions and actions are always already tuned to the parts and moments, the things and surfaces, of its external environment. We describe how on this basis Gibson sought to develop a realist science of environments which will be ‘consistent with physics, mechanics, optics, acoustics, and chemistry’. (shrink)

Shortages of new therapeutics to treat coronavirus disease (COVID-19) have forced clinicians, public health officials, and health systems to grapple with difficult questions about how to fairly allocate potentially life-saving treatments when there are not enough for all patients in need (1). Shortages have occurred with remdesivir, tocilizumab, monoclonal antibodies, and the oral antiviral Paxlovid (2) -/- Ensuring equitable allocation is especially important in light of the disproportionate burden experienced during the COVID-19 pandemic by disadvantaged groups, including Black, Hispanic/Latino and (...) Indigenous communities, individuals with certain disabilities, and low-income persons. However, many health systems have resorted to first-come, first-served approaches to allocation, which tend to disadvantage individuals with barriers in access to care (3). There is mounting evidence of racial, ethnic, and socioeconomic disparities in access to medications for COVID-19 (4, 5). -/- One potential method to promote equitable allocation is to use a weighted lottery, which is an allocation strategy that gives all eligible patients a chance to receive the scarce treatment while also allowing the assignment of higher or lower chances according to other ethical considerations (6). We sought to assess the feasibility of implementing a weighted lottery to allocate scarce COVID-19 medications in a large U.S. health system and to determine whether the weighted lottery promotes equitable allocation. (shrink)

This chapter describes the potential far‐reaching consequences of contemplative higher education for the fields of science and medicine.

• Aggregates of previously isolated cells of Hydra are capable, under suitable solvant conditions, of regeneration forming complete animals. In a first stage, ecto- and endodermal cells sort out, producing the bilayered hollow structure characteristic of Hydra tissue; thereafter, heads are formed (even if the original cell preparation contained no head cells), eventually leading to the separation of normal animals with head, body column and foot. Hydra appears to be the highest type of organism that allows for regeneration of the (...) entire structure from random cell aggregates. The system is particularly useful for studying cell interactions, tissue polarity, pattern formation, and cell differentiation. (shrink)

The global water crisis is being exacerbated by climate change, even in the United States. Recycled water is a feasible alternative to alleviate the water shortage, but it is constrained by humans’ perceptions. The current study examines how residents’ water scarcity awareness and climate change belief influence their willingness to use recycled water directly and indirectly. Bayesian Mindsponge Framework (BMF) analytics was employed on a dataset of 1831 residents in Albuquerque, New Mexico, an arid inland region in the US. We (...) discovered that residents’ willingness to use direct recycled potable water is positively affected by their awareness of water scarcity, but only if they believe in the impacts of climate change on the water cycle. Meanwhile, the willingness to use indirect recycled potable water is influenced by water scarcity awareness, and the belief in climate change further enhances this effect. These findings implicate that fighting climate change denialism and informing the public of the water scarcity situation in the region can contribute to the effectiveness and sustainability of long-term water conservation and climate change alleviation efforts. (shrink)

Conspectus of part of John R. Smythies' Analysis of Perception (1956). It presents a summary of his ideas on phenomenal space – the space of one’s imagination, dreams, psychedelic experiences, somatic sensations, visions, hynagogia, etc. – and its relation to physical space.

Successful teamwork doesn't work overnight, what makes teamwork potent is team building. (Plagiarism) According to Abdullah, et. al., (2022) team building training can improve group cohesiveness or the quality of sticking together or unity teamwork more likely to be higher with a significant score difference. This study used mixed methods both qualitative and quantitative data collection, and an analysis method to answer the research method, random sampling is named as such because the data set is chosen via random selection, where (...) every member of the population has an equal probability of being selected (Tao, 2023). The respondents were 100 restaurant employees and 10 managers from the chosen restaurant in Malolos City in Bulacan. The subcategories of team building, including activities, communication, skills, personality, problem-solving, and values, have all received a consensus of strong agreement, with weighted averages falling within the range of 3.26 to 3.44. This level of agreement aligns with the scores for motivation at 3.43 and productivity at 3.38. These values have been calculated by determining the mean, which spans from 3.25 to 4.00. The advantages of team building that is being observed by the managers is to create familiarity and teamwork among the employees, to improve the quality of service and the quality of the food especially the respondents are in the food service sector, development, and training for the employees to achieve the establishments’ goal and lastly rebuilding and build a relationship with one employee to another. However, for the disadvantages, it costs a lot of money to conduct team building in the management. Therefore, the null hypothesis is rejected. Despite the fact that there is a low correlation between teambuilding activities and motivation and employee productivity, there is still a significant relationship between the variables. (shrink)

Through Alfred North Whitehead’s metaphysics, the Philosophy of Organism, it will be argued that psychedelic experience is a vertical, lateral and temporal integration of sentience.

I anledning af Judith Butlers forelæsning om klimasorg på KU er jeg blevet bedt om at besvare spørgsmålet om, hvad man kan bruge Butlers tænkning til i dag og om den stadig er aktuel. Min første tanke var at besvare spørgsmålet med svaret: Man kan bruge Butlers tænkning til ALT! Men for at fokusere mit svar, har jeg besluttet mig for at gennemgå Butlers tænkning i forhold til spørgsmålet om prekære liv og vold og ikke-vold, og hvordan disse emner udspringer (...) af Butlers tænkning om køn i 1990’erne. /// In connection with Judith Butler's lecture on climate grief at KU, I have been asked to answer the question of how Butler's thinking could be used today and whether it is still relevant. My first thought was to answer the question with the answer: You can use Butler's thinking for EVERYTHING! However, to focus my answer, I have decided to review Butler's thinking in relation to the issues of precarious lives and violence and non-violence and how these issues stem from Butler's thinking on gender in the 1990s. (shrink)

Analytic Philosophy, Volume 63, Issue 1, Page 16-27, March 2022.

Estudio sobre el contexto filosófico de la Escuela de Madrid, y sus inicios, a colación de la figura de Juan Rof Carballo.

This study of mine examines how India influenced East Asian Nations like Thailand, China, Korea and Japan through Socio-cultural exchanges by the origin and expansion of Buddhism. By doing this, I believe it will be easier for us to comprehend and study how and why Buddhism became so entrenched in these nations that it became their official religion. I strongly believe that this research will enable us to retain a bond that is stronger than it was in the beginning. I (...) believe we may march together into the future as partners to achieve universal well being by eradicating the dark age of racism and selfishness, enlighten humanity with the spirit of Non-violence and continuing to live as close cultural cousins by strengthening our shared spiritual resources. (shrink)

Introduction: Sexual harassment involves an assortment of coercive behaviors, including physical force, intimidation, and various forms of compulsion, including verbal harassment and forced penetration [1]. Sexual abuse can happen to both men and women. In the United Kingdom(UK), the problem of child sexual abuse (CSA) has epidemic proportions and is a global public health issue [2]. 53,874 incidents were reported under the 2012 Protection of Children from Sexual Offences Act as of 2021 [3]. to their ignorance about puberty, sexuality, and (...) fundamental human biological changes, adolescents have a very difficult time addressing their SRH demands. These underlying causes contribute to high rates of teen pregnancy, STIs, sexual assault, poor negotiating skills, forced marriage, and high fertility rates [4]. -/- Methods: The study used a quantitative technique and a descriptive cross-sectional design. Students at Jahangir Nagar University and the American International University of Bangladesh were the intended target group. Jahangir Nagar University and American International University of Bangladesh served as the study locations. The six-month trial period ran from January 2022 through June 2022. For this investigation, primary sources of data were used. The study unit was the individual student. Non-probability (purposive) sampling techniques were used for the investigation. -/- Results: The majority of survey participants (N=81) 62.2% were aged between 19 and 21 years old, and there was a statistically significant difference in age between students at public and private universities. None of our study participants suffered from any kind of sexual abuse, though they mentioned hearing about it. Regarding the view of sexual abuse, public universities 23% of those polled claimed sexual abuse as a justification for sharing inappropriate photos. At private universities, the response rate for crude jokes is 32.5%. Only the least number of public (2%) and private university (10%) students took part in sexual abuse-related awareness or training programs. Regarding the rights to receive training for prevention and safeguarding from sexual abuse, only 28% of the public and 40% of the private university students replied in affirmative. -/- Conclusion: Sexual harassment is a sensitive issue, though due to various reasons, the rate of reporting and providing justice to the victims is delayed all over the world including Bangladesh. There social, religious, and policy lacking in this context. -/- . (shrink)

Abstract: background: Dental and oral health is an essential part of your overall health and well-being. Poor oral hygiene can lead to dental cavities and gum disease, and has also been linked to heart disease, cancer, and diabetes. Maintaining healthy teeth and gums is a lifelong commitment. The earlier you learn proper oral hygiene habits — such as brushing, flossing, and limiting your sugar intake — the easier it’ll be to avoid costly dental procedures and long-term health issues. (Healthline, n.d.) (...) Objectives The main goal of this expert system is to get the appropriate diagnosis of disease and the correct treatment by presenting suggestions on Tooth Problems to the user by asking about symptoms. (shrink)

The electron is found at discrete energy levels within the atom, transition between these levels is considered to involve a `jump' rather than via a continuous motion. If we simulate the transition in the H atom as a series of individual steps, with each step the frequency of the electron, we can map a semi-continuous transition (from n=1 to n=2 requires about 1887860 steps, transition period a function of the photon wavelength). Plotting the electron from n=1 to ionization traces a (...) hyperbolic spiral, the significance being that at specific spiral angles, the angle components cancel returning an integer value for the radius (360°=4r, 360+120°=9r, 360+180°=16r, 360+216°=25r ... 720°). If we set initial radius r = Bohr radius, then we can use the spiral perimeter to calculate the transition frequencies at these angles. As these spiral angles correlate the energy level Bohr radii directly with pi, we may ask if quantization of the atom has a geometrical origin. Furthermore, the closer the vicinity of the electron to the proton, the greater the divergence from the idealized value suggesting the electron maybe causing a distortion within the proton internal structure. (shrink)

This article mainly aims to make an examination over the holy. It has been inquired into how something being ascribed holy can have a meaning in philosophy. As the article's research area, the differences in both opinion and execution which have later divided Christianity into two as Catholic and Orthodox Churches have been selected. The separation of these two churches under the subject titles such as Filioque controversy, the idea of First Among Equals (primas inter pares), and ritual of Transubstantiation (...) have also shaped how they perceived and thought the holy. With these divergences being investigated, it has been tried to present how much of a share these had in giving meaning for the holy. It has been labored to manifest the role of these two Churches' -which belong to and come from the same celestial tradition- divergences in the metamorphosis and paradigm shift that the holy underwent. For the last, through the Church Fathers' opinions and views which have been seen related to subject matter, with moving beyond the divergences, it has been searched whether there is a possibility of meeting on the common ground or not . (shrink)

Where three teacher-researchers discuss bipedal walking in humans and where the long-term dynamics of this phenomenon are interpreted in terms of complexity and predictability, two concepts that can be quantified using fractals and the mathematical tools to study them.

My new BOOK (March 2023): -/- Gabriel Vacariu (2023), Hypermetaphysics, Amazon (posted on March 2023) Summary I call this book Hypermetaphysics just because it is not about the metaphysics of “world”/Universe, it is not even about the metaphysics of EDWs (“epistemologically different worlds”), but mainly about the hypercorrespondences between the EW0 (Hypernothing) and the EW1a-n (these EDWs being the first EDWs which appeared in hypercorrespondences to the EW0). This hypermetaphysics involves the main notion of this book: the EW0 (...) (or the “Hypernothing”) which does not have any ontology but a hyperontology which hypercorresponded to the first EDWs that appeared in the hypercorrespondences to the EW0. (shrink)

J. N. (Jitendra Nath) Mohanty (1928–2023). -/- Professor J. N. Mohanty has characterized his life and philosophy as being both “inside” and “outside” East and West, i.e., inside and outside traditions of India and those of the West, living in both India and United States: geographically, culturally, and philosophically; while also traveling the world: Melbourne to Moscow. Most of his academic time was spent teaching at the University of Oklahoma, The New School Graduate Faculty, and finally Temple University. Yet his (...) preeminent work in Husserlian phenomenology developed alongside his eminent work in Indian philosophy: describing his interests as “a fusion of disparate horizons.” -/- J. N. Mohanty was born September 26, 1928, in Cuttack (Odisha, East India). After graduating from high school, he went on to study both Indian and Western philosophy in Calcutta, earning bachelor’s and master’s degrees. There he read Whitehead and Kant’s First Critique; although he wanted to include mathematics in his curriculum, he was led instead to include Indian philosophy and Sanskrit. On the shelves of his teacher, Ras Vihar Das, he came upon a copy of the English translation (Ideas I, 1931) of Edmund Husserl’s classic Ideen I (1913), which presented Husserl’s ground-breaking conception of phenomenology. In 1952–1954 he left India for the first time, reaching Göttingen to study mathematics and philosophy, which earned him a doctorate in mathematics and “philosophy of mathematical sciences” (in his own words). In Göttingen, Mohanty found the powerful mathematical world that Husserl himself had earlier interacted with, where several Husserl students had formed the Göttingen school of phenomenology. During these years Mohanty studied primarily mathematics, alongside Kant and also Vedic Sanskrit. From his friend Günter Patzig, interpreter of Aristotle and Frege, Mohanty was drawn to Frege in relation to mathematical logic. He attended lectures of Heidegger, intrigued by his ontological thinking. Yet, despite the Husserlian legacy, Mohanty was completely self-taught in his studies of Husserl (as he has reported). With a doctorate in mathematics, and ideas from Kant and Frege in his philosophical background, Mohanty set about crafting his own conception of philosophy grounded in phenomenology, drawing on Husserl’s extensive work, critically sifting through Husserl’s texts and their emerging concepts of intentionality, meaning, subject, intersubjectivity, and world. In between he wrote his first book-length study: on phenomenological insights in Nicolai Hartmann and A. N. Whitehead (1958). -/- Over many decades Mohanty formulated and argued, in analytical detail, for a conception of phenomenology and its place in philosophy, later presented in a clear and concise book titled Transcendental Phenomenology: An Analytic Account (1989). Over these very decades the same scholar explored classical and recent Indian philosophy, thinking through kindred ideas of consciousness, self, and knowledge drawn from the Indian philosophical contexts. While writing on Nyāya theory of truth, he also pondered whether the world and finite individual are illusory or real, and whether Marx, Arendt, Gandhi (whom he heard speak in Calcutta), or Vinoba Bhave (with whom he marched across India for the land-grant movement) could best navigate post-Independent India’s social and svarāj or self-rule reforms. The two Mohantys, thinking through a vision of self and world, turned out to be “non-different” or “non-dual” as they each practiced critical phenomenology from both inside and outside the respective philosophical and cultural traditions. Numerous students, fellows, and colleagues or collaborators have benefited immensely from this infusion and unified approach to diversity in philosophical thought. In the 2000s, moving into retirement, Mohanty wrote two long books devoted to his understanding of Husserl and phenomenology and the calling of philosophy itself. This two-volume study shows Mohanty himself thinking through Husserl, critically, in The Philosophy of Edmund Husserl: A Historical Introduction (2008), and Edmund Husserl’s Freiburg Years: 1916–1938. As Mohanty worked on Husserl, he carefully indicated where he agreed and where he rejected or changed ideas, all part of his practice in phenomenology of “description and interpretation.” It was the same pattern he used in addressing the thought of Husserl vis-à-vis Kant or Frege or even Quine. -/- As Mohanty developed his understanding of phenomenology over the years, he wrote books on theory of meaning and the concept of intentionality, developing a model of ideal meaning and its foundation in intentionality, drawing on Husserl’s results. He followed these with the book Husserl and Frege (1982), linking the thought of those foundational figures for the “continental” and “analytic” traditions, respectively, in twentieth-century Western philosophy. Over his long career Mohanty addressed both traditions in his clear and accessible writing style. While developing his views on phenomenology, Mohanty regularly looked to “Husserl and his others,” evaluating views in Heidegger, Sartre, Merleau-Ponty, Ricoeur, and then Derrida and others in the wake of Husserl. With his background in Kant, Mohanty also looked toward Heidegger and Hegel in relation to Husserl’s later work in the Crisis (1935–38). Similarly, he looked to contemporary analytic philosophers, adjudicating his own, oft-wise Husserlian views in relation to Frege, Nagel, and others. Amid his active scholarly career, Mohanty co-founded the journal Husserl Studies, and was editorial advisor to Philosophy & Phenomenological Research, Philosophy East & West, Journal of Indian Philosophy, Sophia, among others. -/- Yet all this while Mohanty was also thinking and writing about Indian philosophy and its relation to phenomenology. In his own retrospective, Indian philosophy is “the permanent background” of his Husserlian thinking, while Kant is the recurrent Western background of his Husserlian phenomenology. Mohanty’s form of “transcendental phenomenology” evolved, in his own perspective, against the background of his studies of Navya-Nyāya on logic and Vedānta on consciousness, in Indian philosophy, and against the background of Kant’s First Critique on the transcendental, in Western philosophy. Accordingly, Mohanty’s study of logical form and of the intentionality of consciousness seeks a fusion of East and West in the conception of transcendental phenomenology. (Cf. Mohanty’s apt response to critics in The Empirical and the Transcendental (2000).) Even in the context of North American Husserl scholarship, Mohanty has exercised an earnest fusion of East and West. For the so-called East Coast and West Coast interpretations of Husserl’s crucial notion of noema both find a sympathetic spirit in J. N. Mohanty’s careful and nuanced interpretation of Husserlian transcendental phenomenology. With Mohanty the two faces of the noema are the logical (Fregean) and the phenomenal (Kantian), and these views of intentional structure join in consciousness—in a way resonant with Indian thought. -/- - David Woodruff Smith (UC Irvine) and Purushottama Bilimoria (SFSU, San Francisco; University of Melbourne) -/- For photo of Prof Mohanty visit APA online memorial_minutes2023 Courtesy of APA Memorial Minutes (& Proceedings) 2023 . (shrink)

Azərbaycan elm tarixini tədqiq edərkən dövrün tələbindən çıxış edilərək ərəb və fars dillərində yazılmış çoxlu əsərlərə rast gəlirik. Bu əsərlərdən biri də dahi alim Nəsirəddin Tusinin fars dilində məntiqə dair yazdığı Əsasül-iqtibas əsəridir. Əsər ilk dəfə 2022-ci ildə nəşr edilərək oxucu və tədqiqatçıların ixtiyarına verilmişdir. Əsasül-iqtibas əsəri XIII əsrin ortalarında yazılmışdır. Əsərin yazılmasından təqribən səkkiz əsrə yaxın vaxt keçmişdir. Bu müddət ərzində həmin əsərdə istifadə edilən bir sıra termin və sözlər artıq müasir fars dilində istifadə edilmir. Əsərin məntiqə aid olması (...) və həm də bir sıra sözlərin günümüzdə istifadə edilməməsi onun tərcüməsini çətinləşdirən amillər kimi qeyd etmək olar. Bundan əlavə burada istifadə edilən bəzi terminlərin gündəlik danışığımzda fərqli mənada istifadə edildiyindən həmin sözlərin və terminlərin izah edilməsi zərurəti yaranmışdır. Habelə orta əsr müəlliflərinin əsərlərinin tədqiqi zamanı eyni bir sözün müxtəlif müəlliflər tərəfindən fərqli mənalarda işlədildiyinin də şahidi oluruq ki, bu da həmin termin və anlayışların Azərbaycan dilinə tərcüməsi zamanı izahının verilməsinə ehtiyac yaradır. Hal-hazırda müraciət etdiyiniz bu kitab Nəsirəddin Tusinin ən mühüm və genişhəcmli əsərlərindən biri olan “Əsasül-iqtibas”-ın tərcüməsi zamanı əsərin orijinalında işlədilmiş ərəb-fars sözlərinin izahlı tərcüməsi yönündə tərtib edilmişdir. Bu lüğətlərin tərcüməsi və izahı ilə tanış olmaqla Nəsirəddin Tusinin ərəb-fars dillərində yazılmış digər əsərlərinin tərcüməsi zamanı da yararlanmaq olar. Müəyyən bir ixtisas və peşəni və ya həmin peşə və ixtisasa aid olan terminləri başa düşmək üçün həmin istiqamət üzrə tərtib edilən terminolji lüğətlərə ehtiyac duyulur. Bu istiqamətdə zaman-zaman müxtəlif ixtisaslar üzrə terminoloji lüğətlərin nəşr edildiyini müşahidə edirik. Azərbaycan dilində məntiqi terminlərin izahından ibarət xüsusi termonoloji lüğətlərin də tərtib edilməsi zərurəti vardır. Çünki məntiq terminlərinin izahınına adətən rus dilində yazılmış ədəbiyyatda, bir neçə terminin izahı verilmiş məntiq kitablarında və ya fəlsəfi terminlərdən ibarət ensiklopediya və lüğətlərdə rast gəlmək mümkündür. Bir tərəfdən, yaranmış boşluğu doldurmaq, digər tərəfdən isə məntiq ixtisası üzrə təhsil alan tələbə və mütəxəssislərə kömək etmək üçün bu lüğəti tərtib etmək qərarına gəldik. 222 sözün izah və tərcüməsindən ibarət olan bu kitabı həmin istiqamətdə olan boşluğu doldurmaq üçün kiçik və eyni zamanda mühüm bir addım hesab etmək olar. Burada sözlərin tərcüməsi ilə yanaşı bir sıra terminlərin izahı da verilmişdir. Əsasən Əsasül-iqtibas adlı məntiqi əsəri tərcümə edərkən qarşıya çıxan çətin və mürəkkəb sözlərin izahının verilməsinə üstünlük verilmişdir. Tərcümə zamanı müxtəlif illərdə nəşr edilən Əsasül-iqtibas əsərlərinə də müraciət edilmişdir. Bu əsərlərin bəzisində Əsasül-iqtibas əsərində istifadə edilən bəzi terminlərin izahı da verilmişdir. Bu izahlar bəzən tərcümə zamanı ifadənin daha səlis və daha dəqiq başa düşülməsinə imkan vermişdir. Bu lüğət kitabı tərtib edilərkən həmin əsərlərdə mövcud olan terminlər və onların izahından da istifadə edilmişdir. Bəzən məntiqi terminlərlə yanaşı kəlam, fəlsəfə və s. elmlərdə istifadə edilən terminləri də qeyd etmişik. Çünki bu terminlər bizə məntiqdə işlədilən bəzi ifadələrin daha asan başa düşülməsinə imkan verəcəkdir. “Əsasül-iqtibasa dair terminlər” lüğəti adlı bu kitabı bu sahədə atılmış ilk addımlardan biri olduğu üçün gələcəkdə daha sanballı və həcmcə daha geniş terminoloji lüğətlərin hazırlanması nəzərdə tutulur. (shrink)

XIX. yüzyılın ilk yarısında Auguste Comte tarafından sistemleştirilen pozitivizm akımı, deneye ve gözleme dayalı bilginin, tek geçerli bilgi türü olacağı varsayımından yola çıkan bir düşünce sistemidir. Pozitivizmi hazırlayan nedenlerin başında Fransız İhtilali ve aydınlanma düşüncesi yer almaktadır. Pozitivizmin Osmanlı düşüncesine girişi, devletin en buhranlı dönemini yaşadığı XIX. Yüzyıla denk gelir. Islahat hareketlerinin hız kazandığı, buna bağlı olarak batıcılık düşüncesinin iyiden iyiye hissedildiği bu yüzyılda, batı kaynaklı düşünce akımları da Osmanlı düşüncesinde kendilerine yer bulmaya başlamışlardır. Batılaşma çerçevesi içerisinde Fransa’ya gönderilen öğrenciler (...) ve tercüme eserler vasıtasıyla kendisini ortaya koyan pozitivizm, dönemin birçok düşünürünü etkilemiştir. Pozitivizmden etkilenen düşünürlerden birisi olarak Abdullah Cevdet, siyasi ve kültürel birçok alanda düşüncelerini bu doğrultuda dile getirmiştir. Cevdet’in düşünceleri başta yaşadığı dönem olmak üzere, kendisinden sonra da günümüze kadar ulaşmış ve pozitivist-materyalist cenahta kendisine yer bulmuştur. Halifelik müessesesini bünyesinde barındıran bir imparatorluk olarak Osmanlı’nın, pozitivist-materyalist görüşleri benimseme eğiliminde çok da istekli bir eğilim sergilemediği düşünülmektedir. Tüm eleştirilere ve kabullenememelere rağmen Abdullah Cevdet ve pozitivist fikirleri son dönem Osmanlı düşüncesinde sağladığı fikri dinamizm sebebiyle, düşünce dünyamız açısından olumlu bir etkiye sahip olmuştur. (shrink)

Bu çalışmada çevre sorunlarının küresel bir boyuta taşınmış olduğuna dikkat çekilmiştir. Hızlı gelişim ve değişimler nedeniyle çevre göz ardı edilmiştir. Böylelikle çevre sorunları artmış çözülmesi gereken bir problem olmuştur. Çevre sorunlarının arka planında olan küreselleşme tüm dünyayı etkisi altına almıştır. Güçlü devlet ve güçlü toplumun olmazsa olmazlarının, en temel politikalarının arasında insanların refah içerisinde yaşayabilecekleri çevreyi muhafaza etme çabası yer almalıdır. Özellikle yaşadığımız bu son yüzyılda yeni çevre sorunları ortaya çıkmıştır. Ekonomik kalkınma ile verilen kararlardan en çok etkilenen çevre olmuştur. (...) Doğanın bilinçsiz bir şekilde tahrip edilmesi kendi içindeki dengesinin bozulmasına neden olmuştur. İnsan yaşamış olduğu çevreyi tüm hassasiyeti ile koruması gerekmektedir. Çevresel dengenin korunmasına yönelik her türlü planlamalar öncelik olmalıdır. Bu bilincin hem insana hem de topluma kazandırılması sürdürülebilir çevre açısından önemlidir. (shrink)

İlk kez derli toplu bir biçimde Aydınlanma Çağının en önemli ve etkili filozofu İmmanuel Kant’ın dillendirdiği evrensel ahlâk yasası uyarınca insan öyle eylemelidir ki, davranışıyla insanı araç haline getirmesin. Kültürden, toplumun koşullarından, geleneklerden ve dinsel etkilerden arındırılmış bu ilkenin buyurganlığı herhangi bir koşul ya da sınır tanımamasıyla ünlüdür. Oysa insanlar, hem bireysel hem de toplumsal gerekçelerle bu formel ilkeyle kendilerini her zaman bir çekişme içinde bulurlar. Kant’ın ahlâk anlayışı açısından etik değerlerin herhangi bir kültürel, toplumsal ya da siyasal baskı ya (...) da ilgi içerisinde anlaşılmaması gerekir. Bu ilke(ler) evrenseldir; ulusal ya da yerel çerçeveyle sınırlı görülemezler. Oysa özellikle ulusal sınırlarla belirlenmiş topraklarda yaşayan toplumlann kendi kültürlerinden geleneklerinden süzülerek gelen değerler her zaman bu evrensel ilkelerle uyum içinde değildirler. Aralarında gerilim arttığında genellikle evrensel ilkeler lehinde çözüme gidilmek istenir. Yani yerel değerler yeniden anlamlandırılır. Toplumlann örgütlenmesinde rol oynayan faktörlerin pek çoğunun devredışı bırakılmasının nedeni bunlann, sorunlan çözmekten ziyade artırdığının apaçık olmasıdır. Söz gelişi Ortaçağ boyunca Avrupa’da yaşanmış mezhep çatışmalan, ahlâk ilkelerininin dinsel değerler tarafından tanımlanmasının önündeki en büyük engeldir. Kant’m ahlâk felsefesinin Hıristiyanlık idealleri üzerine kurulmadığı apaçıktır, lyi’nin kökeninde günah/sevap ya da kutsal metinlerin buyurganlığı yoktur. Bunun böyle olmasının bir nedeni de ortaçağlar boyunca Avrupa’da yaşanmış olduğunu gözlemlediğimiz dinsel çatışmalann ahlâk ilkelerinin evrenselleşmesini önlemesidir. İyi ya da doğrunun belirli bir inanç sisteminin önceliklerine terk edilmesi fanatizmi azaltacağına güçlendirmiştir. Yani iyi bir Hıristiyan olmak iyi ahlâklı bir insan olmaktan önce gelmesi eleştirilmektedir. Kısacası ahlâkın temeline dinsel bir dayanak yerleştirmektense, aklı koyan bir yaklaşım söz konusudur. Dinsel çatışmalar bu tercihin yapılmasını kolaylaştırmıştır. Bu noktada ulusal değerler çok daha büyük güçlükler doğurmaktadır; çünkü tarihin kaydettiği olaylar, homojen bir değerler bütünlüğü olmadığım düşündürmektedir. Sonuç olarak, evrensel bir ahlâk ilkesine duyulan ihtiyaç ile içinde yaşadığımız çağın gerçekleri arasındaki makasın açılması tepeden dayatma tehlikesini artırırken, makasın kapanması toplumsal ilerlemenin ve gelişmenin meşruluğuna katkıda bulunmaktadır. Bu bildiride evrensel ilkelerin yerel değerleri anlamlandırmasının olanaklılığı, Kant’ın ahlâk felsefesi model alınarak sorgulanacaktır. (shrink)

An orbital simulation program is described that uses a geometrical approach to modeling gravitational and atomic orbits at the Planck scale. Orbiting objects A, B, C... are sub-divided into points, each point representing 1 unit of Planck mass, for example, a 1kg satellite would divide into 1kg/Planck mass = 45940509 points. Each point in object A then forms a rotating orbital pair with every corresponding point in objects B, C... resulting in a universe-wide, n-body network of rotating point-to-point orbital pairs. (...) Each orbital pair rotates 1 unit of Planck length per unit of Planck time at velocity c in hypersphere space co-ordinates, the results are then summed and averaged to give the new co-ordinates, the program then repeats. When these rotations are mapped over time on a 2-D plane (representing 3D space), objects A, B, C... appear to be orbiting each other. The basic simulation uses the fine structure constant alpha as an orbital constant to simulate gravitational orbit parameters. As each orbital comprises only 2 points, 1 at each orbital pole, information regarding the objects A, B, C... ; momentum, size, center of mass, barycenter etc ... is not required, instead only the start (x, y, z) co-ordinates of each point are defined. Each point, by having a mass of Planck mass, is itself a construct of multiple particles, and so we can also form individual particle to particle orbital pairs. The simulation uses only geometry, no dimensioned constants (G, h, c ...) are required, although the results can be measured in Planck units for comparison. Points are physically linked together by a unit of momentum (a graviton), the rationale for this is described in a subsequent article on atomic orbitals. (shrink)

En el ámbito de la lógica matemática existe un problema sobre la relación lógica entre dos versiones débiles del Axioma de elección (AE) que no se ha podido resolver desde el año 2000 (aproximadamente). Tales versiones están relacionadas con ultrafiltros no principales y con Propiedades Ramsey (Bernstein, Polarizada, Subretículo, Ramsey, Ordinales flotantes, etc). La primera versión débil del AE es la siguiente (A): “Existen ultrafiltros no principales sobre el conjunto de los números naturales (ℕ)”. Y la segunda versión débil del (...) AE es la siguiente (B): “Existen ultraflitros sobre ℕ”. Se sabe que A implica B, pero se desconoce si B implica A. Di Prisco y Henle conjeturan en los artículos ([1], [2]) que esto no ocurre, es decir, conjeturan que B no implica A, en otras palabras, conjeturan que A es más fuerte estrictamente que B, que A es independiente de B, pero esto no se ha podido demostrar todavía aunque se ha intentado hacer desde hace aproximadamente 21 años. Una descripción detallada de este problema abierto puede encontrarse en esta ponencia (dictada en el marco del Día Mundial de la Lógica 14-01-2022) y en el artículo [3]. [1] C. Di Prisco y H. Henle. “Doughnuts, Floating Ordinals, Square Brackets, and Ultraflitters”. Journal of Symbolic Logic 65 (2000) 462-473. [2] C. Di Prisco y H. Henle. “Partitions of the reals and choice”. En “Models, algebras and proofs”. X. Caicedo y C.M. Montenegro. Eds. Lecture Notes in Pure and Appl. Math, 203, Marcel Dekker, 1999. [3] F. Galindo. “Tópicos de ultrafiltros”. Divulgaciones Matemáticas. Vol. 21, No 1-2, 2020. (shrink)

We recall, "a priori," numeric energy expression: -/- Energy Numbers -/- $\begin{gathered}\mathcal{V}=\left\{f \mid \exists\left\{e_1, e_2, \ldots, e_n\right\} \in E \cup R\right\} \\ \mathcal{V}=\left\{f \mid \exists\left\{e_1, e_2, \ldots, e_n\right\} \in E, \text { and }: E \mapsto r \in R\right\} \\ \mathcal{V}=\left\{E \mid \exists\left\{a_1, \ldots, a_n\right\} \in E, E \not \neg r \in R\right\}\end{gathered}$ -/- We now introduce the set of optimized energy numbers: -/- ($H_a \in \mathcal{H}$ or $P^n = NP$ or $(P,\mathcal{L},F) = NP$). -/- Based on our formulation of (...) the bi-objective optimization task, we can make the following mathematical inferences: -/- 1. If the optimized energy numbers set $\mathcal{N}_H$ is equal to the original energy numbers set $\mathcal{E}$, i.e. $\mathcal{N}_H = \mathcal{E}$, then the maximum optimization score is achieved, i.e. the bi-objective optimization task is solved. This implies that there exists at least one solution to the optimization problem and $H_a \in \mathcal{H}$, where $H_a$ is the hypothesis that states the existence of an efficient algorithm to solve the problem. -/- 2. If the optimized energy numbers set $\mathcal{N}_H$ is a subset of the original energy numbers set $\mathcal{E}$, i.e. $\mathcal{N}_H \subset \mathcal{E}$, then the optimization score is less than the maximum score. This indicates that there may exist more efficient algorithms to solve the problem, and the hypothesis $H_a$ is still possible. -/- 3. If the optimized energy numbers set $\mathcal{N}_H$ is a superset of the original energy numbers set $\mathcal{E}$, i.e. $\mathcal{N}_H \supset \mathcal{E}$, then the optimization score is higher than the maximum score. This implies that the optimization problem may be easier than initially thought, and $P^n = NP$, or at least some form of $NP$-completeness. -/- 4. If the optimized energy numbers set $\mathcal{N}_H$ is a strict subset of the original energy numbers set $\mathcal{E}$, i.e. $\mathcal{N}_H \subsetneq \mathcal{E}$, and $P^n \neq NP$, then it can be concluded that the optimization problem is complex but there may exist algorithms that can efficiently approximate the solution. -/- 5. If the optimized energy numbers set $\mathcal{N}_H$ is empty, i.e. $\mathcal{N}_H = \emptyset$, then it can be inferred that the optimization problem is infeasible, i.e. no efficient algorithm exists to solve it, and $H_a$ is false. -/- 6. Comparing the two objectives in the bi-objective optimization task, we can make the following statements: -/- - The first objective, $\frac{\delta_{v(f)}(\mathbf{v}, \mathbf{w_{max}})} {\langle \mathbf{v_f}, \mathbf{1_f}\rangle}$, measures the efficiency of the algorithm and its ability to find low energy numbers. - The second objective, $\rho(\mathcal{N}_H)$, measures the accuracy of the algorithm in terms of loss and perplexity on the HyperLanguageModel. - Therefore, by optimizing both objectives simultaneously, we aim to find an efficient algorithm that also minimizes the loss and perplexities on the HyperLanguageModel. - If the optimization task is successfully solved, then the algorithm achieves both high efficiency and high accuracy. This would imply that the algorithm is able to find low energy numbers effectively and also generalize well on the HyperLanguageModel. -/- The optimized energy numbers aim to find a set of numbers $\mathbf{v}$ that maximize the bi-objective optimization task, while also minimizing the loss and perplexity of the HyperLanguageModel. This is achieved by finding the set of numbers that have the highest delta value and the lowest perplexity, resulting in a more optimized and efficient set of energy numbers. -/- By comparing the optimized energy numbers to the original set, we can see that the optimized set may have a higher delta value and a lower perplexity, indicating that it is a better set of numbers for the given task. This shows that the optimized energy numbers have successfully achieved their goal of maximizing efficiency while minimizing loss and perplexity. (shrink)