In2013,Adamsintroducedthen-crossingnumberofaknotK,denoted by cn(K).Inequalities between the 2-, 3-, 4-, and 5-crossing numbers have been previously established.We prove c9(K)≤c3(K)−2 for all knots Kthat are not the trivial, trefoil, or figure-eightknot.Weshowthisinequalityisoptimalandobtainpreviouslyunknownvalues for c9(K).

GROSSMANN, João Miguel Sastre. ReCiPla - Cyclic Soil Microplastic Remover: A way to remove microplastics from soil using electrostatics. 2023. 28 p. Research report – Scientific Apprentice Program, Colégio Dante Alighieri, São Paulo, 2023. Microplastics are the largest form of physical pollution on the planet. Affecting everything from terrestrial and aquatic environments to the air, compounds up to 1 micrometer in size are present inside the human body and can intoxicate the main organs in which they are found, such as the lungs, spleen, liver, and heart. Therefore, methods of removing these compounds from nature are essential, which is why this research is based on electrostatically removing MP from the soil. To this end, a vibrating conveyor belt was designed that would act in conjunction with a plate electrified by a Van de Graaff generator to separate the plastic compound using electric field induction. After characterization tests to quantify the voltage produced by the generator, which produced an average of 95 kV, the vibrating belt was made and will be used later in conjunction with the electrostatic method. This methodology suggests that it’s a success even after the electrified plate was applied to its structure. It carried out the proposed processes, such as moving the test masses, vibrating them, and fully supporting the electrified plate. In addition, the electrostatic removal method was tested to verify its efficiency and applicability. It was found that the removal of microplastics ranged it from 10 to 20% efficiency, suggesting it to be an effective method for separating microplastics. It should be noted that these statistics will be improved as the research progresses. In this way, the research proved capable of establishing an electrostatic removal method, as well as a process for transporting the material to be removed, thus achieving the objectives it set out to achieve. Finally, it should be noted that this research is still under development, with a view to applying the process in conjunction with the conveyor belt to carry out sample tests, as well as improving the removal process in the future to make it more efficient.

抗癌藥物的研究一直受到重視，吲哚(indole)衍生物可助抵擋自由基，而二吲哚(Di-indole)衍生物已成為抗癌劑。鈣離子/鈣調蛋白依賴性蛋白激酶 (Ca2+/calmodulin-dependent protein kinase II，CaMKII)之抑制劑為癌症標靶藥物重要研究方向之一，抑制CaMKII可降低各種癌細胞增殖和存活，但目前尚無CaMKII抑制劑藥物。本研究以三吲哚為主架構，發展衍生物作為CaMKII抑制劑，期望可應用於抗癌劑。電腦軟體Discovery Studio2016模擬各種三吲哚衍生物分子模型與CaMKII α(PDB: 2VZ6)之結合能，選出結合能較大之化合物3，並延伸結構/活性(SAR)最佳化，進行一系列高效率藥物合成純化工作。經由送測生物細胞活性，其中先導化合物(lead compound) 3-1對癌細胞之毒性高且對CaMKIIα的抑制效果佳，符合癌症治療上的需求，將繼續最佳化此結構，並進行細胞訊號傳送途徑及動物實驗。

An exploration of Pachyrhizus erosus as an option for plant-based milk in the 印尼n market for people with lactose intolerance. With its prevalence in tropical climates, Pachyrhizus erosus is an affordable crop in 印尼. Pachyrhizus erosus is a root vegetable containing a calcium content of 15.6 mg per cup (130g) in its unprocessed form, concentrated in its white flesh. Based on its affordability and calcium content, Pachyrhizus erosus can be transformed into a beverage product with nutritional qualities on par with existing plant-based milk, therefore being a solution for calcium sustenance that is more accessible due to its high capability to be locally grown in 印尼. However, this may be a partial case as Pachyrhizus erosus only thrives in regions with long warm seasons. In this research, three trials of Pachyrhizus erosus-based milk recipe have been conducted Trial 1 consists of a 1:1 ratio of Pachyrhizus erosus to water, Trial 2 consists of a 2:1 ratio of Pachyrhizus erosus to water, and Trial 3 consisting of a 10:10:1 ratio of Pachyrhizus erosus to water, and to a small amount of soybean. Based on the results of 14 organoleptic test respondents, it is concluded that the best ratio of ingredients is 10:10:1 (water: Pachyrhizus erosus: soybean) due to an overall preference of the third trial with this ratio, in terms of taste, aroma, color, and consistency. Pachyrhizus erosus is the dominant ingredient in developing alternate plant-based milk. However, findings from the most preferred trial in the organoleptic test suggest that implementing a minor amount of soybean would stabilize the milk-like consistency and flavor. Pachyrhizus erosus’ ability to retain calcium in its water content has been additionally proven in a calcium test using a reagent solution of ammonium oxalate, as even with the trials’ step of straining the liquid content of Pachyrhizus erosus that had been blended with added water, all three trials tested positive based on the high level of the precipitate. Other tests that tackle the quality of each trial include In Silico Testing, biuret protein test, alcohol test, COB test, and pH level testing.

An actuator [7,22,28,29] is a motion control mechanism. Depending on the type of actuator, it can convert one type of energy (e.g. chemical, electromagnetic, thermal) into mechanical energy. The field that laid the foundations for the realization of actuators is the field of electromechanics, whose evolution was common with that of actuators. Thus, a periodization of the electromechanics paradigm includes 3 major stages [7,6,25,28,29]: I.1830-1950 Old electromechanics. It is the period when the development of electric cars is significant, which imposed the appearance of classical or primary electromechanical drives. It was a generous nineteenth century, dominated by the scientific results of the triumvirate: Michel Faraday (initiator of fundamental empirical experiments in the history of electricity; the law of induction, of the principle of electric motor, of the magnetic circuit, initiator of electro-chemistry), James Clerk Maxwell, (the genius theorist who put into mathematical form the equations of electric and magnetic fields, as well as the connection between them), and Werner Siemens (engineer and capitalist genius manager who managed to exploit and validate the relationship research-technology-economic development), triumvirate that can be disputed in the sense that other scientists also made outstanding contributions to the history of electricity: Edison, Ampere, Ohm (to name but a few who do not exhaust a significant list). Industrial production of electric machines also appeared and the first signs that will announce the emergence of electromechanical actuators as a basis for military applications. II.1950-1970, Traditional electromechanics, in which electrical power drives appear, a theoretical and experimental development on the emergence of new material and electromechanical principles. Much military research (such as missile control or ship and torpedo control) influences and produces the transfer of applications in ordinary life, including the actuator subfield. III. 1970-2020, Avant-garde electromechanics, representing according to Thomas Kuhn's theory, a paradigm forcing [30]. It is worth noting the contributions of the new scientific revolution. - Specific technologies of miniaturization, by material deposition. - Elastomeric polymeric materials with the help of which it was possible to make electrostrictive actuators, - Very special means of investigation, mainly the development of microscopy, - Gradient of applications in the field of medical engineering, with outstanding contributions both in investigation and microsurgery, applications of actuators in biological micropumps, etc. [25,27,28,29].

積極發展癌症相關治療策略極為重要，其中T細胞免疫療法（adaptive T cell therapy）是一深具臨床價值的選項。即是將T細胞自體內取出後並增殖到一定數量，而後將其回輸病人體內使得T細胞攻擊癌細胞。此方式關鍵的步驟在於必須要能夠篩選出足量的抗原專一性T細胞。現行主要的篩選方法雖然方便，但會誤捕不相關抗原專一性T細胞，降低治療效率。為解決此問題，本研究將利用水膠細胞技術，運用其完整保存生物膜的特性，模仿細胞膜之免疫突觸現象，搭配微流控晶片可控制流速改變沖刷力的特性，成功開發一可篩選親和力較高之T細胞微流道晶片。已在晶片內建立可置換任意抗原之水膠細胞單層，並以SIINFEKEL抗原作為模擬，達到極高之置換率。預期能在未來的研究中提升篩選專一性與數量，進而提升其臨床價值。

Examination of the predation behavior of polyclad flatworms is extremely rare. This study collects Paraplanocera oligoglena, the most common species in Taiwan. Tank-based feeding experiments reveal that Paraplanocera oligoglena can prey on several species of gastropods, such as sea snails and sea hares. Predation behavior encompasses attack, invasion and ingestion periods. This research pioneers the use of stained clam and static image analysis to observe the highly branched digestive system of flatworms. The sequentially bidirectional flow of gastrovascular cavity is first found in polyclad flatworms by the post-stain active tracking technique. Measuring peristalsis movement in inward and outward directions and segmented movement, the contraction frequencies are roughly the same in subsequent order of given branches. Confirmation is provided that the circular membrane-like muscles within the digestive tract are the main driving force for transporting and mixing food. The food dyeing technology used in this experiment also provides the possibility of future research on food chains in the wild.

1. Research Motivation Have you ever seen news stating that spring is gradually disappearing from the Korean Peninsula? The characteristics of the four seasons are disappearing due to the impact of global warming. As supporting evidence, droughts and heatwaves continue during the rainy season, and unexpected heavy rainfall occurs during autumn. These abnormal temperature phenomena are greatly affecting agriculture. Crops wither due to untimely cold spells or summer droughts, and the proliferation of bacteria and pests worsens. We need to conduct a thorough investigation and response to such weather phenomena. Carbon is known to be the main culprit behind these abnormal temperature phenomena. We want to explore how carbon affects climate change and understand the implications it has. 2. Research Objectives The consequences of climate change, such as deforestation and rising sea levels, will cause significant damage to society as a whole. This will also have a profound impact on the survival of all living organisms on Earth. Unless industrialization is halted, global warming will continue, making it crucial to gain a proper understanding and find accurate alternatives. The damages caused by global warming are expanding the habitats of mosquitoes, which is expected to have an impact on the spread of mosquito-borne diseases. This can also influence the emergence of novel viruses similar to COVID-19. By examining past outbreaks of diseases transmitted by mosquitoes, we aim to predict and understand such occurrences, as well as explore ways to minimize global warming. 3. Expected Benefits Based on this research, a focused exploration of the ecological impacts of global warming can provide essential data to understand the effects of climate anomalies on us and prepare for them. As these phenomena are expected to worsen over time, it will be possible to develop measures to minimize the damage caused by bacterial infections and agricultural losses.

為了永續利用土壤生態系服務，本研究分析線蟲族群變化監測土壤食物網，探討線蟲食物網與土壤養分調節相關性，實踐 SDGs中第 2項消除飢餓與第15項陸域生態。首先使用文獻分析法，建構模式觀察線蟲功能群演替，監測線蟲食物網組成評估土壤生態系服務，改善與結合過去僅探討環境干擾方式。觀察線蟲對土壤養分影響，結果顯示線蟲功能群多樣性、族群增長與交互作用 (資源重疊與演替等)可能提升土壤無機氮；不過推測因族群交互作用減弱或微生物過度被捕食，氨化能力在食物網發展初期(六週提升 37%)與後期 (六週僅提升16%)不同，需探討如何延續其氨化能力。將結合植物生長觀察線蟲食物網對植物影響。期望未來新模式進一步評估與標準化，用於監測土壤線蟲食物網組成並調節土壤，在農業管理與生態復育方面做出貢獻，為土壤永續利用提出新的可能。

Burns are a major global health concern especially in developing countries like 印尼, where southeast asian women experience the highest burn incidents globally. Burns can cause severe physical and psychological impacts, with treatments that are critical to reduce complications. This study focuses on the development of organic, cost-effective burn gels using flavonoid compounds which are Quercetin and Myrecetin which are taken from pilea melastomoides leaves, a wild 印尼n plant and carrot (Daucus Carota). These skin extracts aim to accelerate wound healing, minimize pain and prevent infection. The gel formation involves extracting active compounds using 96% ethanol as it has been effectively used for extracting a wide range of bioactive compounds to preserve their quality by preventing microbial contamination, and ensures a high yield of active ingredients suitable for topical applications. Then it goes through a process of Phytochemical screening to confirm the presence of flavonoids by using the Shinoda test. The formulation process included dissolving the HPC-m (Hydroxypropyl Cellulose) as a gelling agent, then adding plant extracts (pilea melastomoides leaves and carrot), as well as combining other ingredients such as propylene glycol, sodium benzoate, sodium metabisulfite, and disodium EDTA. The gel was stirred thoroughly to ensure uniformity and left at room temperature for 48 hours to attain the required consistency. The gel that was formatted went under various quality assessments, first being organoleptic testing. This test is used to evaluate its physical characteristics which includes color aroma, and consistency which confirms a stable dark green appearance and a natural strong scent from the plant extracts. The homogeneity test is used to verify the uniformity distribution of active compounds across the gel, to ensure a consistent efficacy. The pH test showed the gel’s acidity level which remained the safe range for skin application. Additionally, the spreading ability test demonstrated the gel’s excellent application properties, with consistent results across trials. Subsequently, the in silico analysis was conducted to predict the behaviour of specific flavonoid compounds used which is the myricetin and quercetin, highlighting their potential anti-inflammatory and antimicrobial activities. Further bacterial contamination tests confirmed the gel’s antimicrobial efficacy, reducing the risk of infection in wounds. This study demonstrates that the gel, formulated with pilea melastomoides leaves and carrot skin extracts, effectively utilizes flavonoids and other phytochemicals to reduce inflammation, promote tissue regeneration and retain moisture, which fosters an optimal condition for wound healing. This organic and sustainable burn treatment utilizes locally sourced ingredients, providing a natural solution that speeds up recovery, reduces pain and prevents infections. The results highlight its significant potential for wider healthcare use, especially in resource-limited environments.

Due to global population growth and industrialization, excessive inflow of causative nitrogen into rivers, and the increase in water temperature due to global warming, the occurrence of harmful algal blooms (HABs) is increasing. HABs can cause not only ecological destruction but also various social and economic problems. Additionally, consuming water from lakes with abundant toxic cyanobacteria can lead to liver damage, vomiting, abdominal pain, and even death if consumed over a long period. The first recorded occurrence of animal mortality due to HABs was in Australia in 1878, and since then, livestock and wildlife have suffered damages from HABs worldwide. Furthermore, the United States' Lake Erie has experienced frequent HAB occurrences since 2011, and in 2007, China faced social disruption when a massive HAB outbreak in Lake Tai, one of the freshwater lakes, resulted in a suspension of the water supply. In order to address these HAB occurrence issues and assess the severity of HAB events, several systems have already been established and potential solutions have been proposed. However, these systems have limitations such as being highly systematic and advanced in terms of equipment and configuration. They are often located only in periodically affected areas, and they involve substantial costs. Therefore, we aim to overcome these limitations and design a system that can effectively manage HABs.

Within the scope of sustainable cities and responsible consumption, which are among the goals of sustainable development, it is aimed to contribute to life safety, defense industry, protection from disasters and economy with the new generation environmental building technologies and materials to be developed in the field of construction. It is a critical issue to protect reinforced concrete structures, piers, bridge piers, overpasses against impacts, and to reduce the damages and economic losses in disaster situations. Reinforced concrete scaffolding is the load-bearing component of the structure and its impact resistance is crucial to the overall safety of the concrete structure. Therefore, there is a need to develop technologies that can protect structures against explosion and impact loads. Within the scope of the project, environmentally friendly and low-cost concrete materials with industrial waste glass, aluminum, plastic material additives, which can be used in columns, which are the most important part in the strength of reinforced concrete structures to prevent explosion and impact damage, were produced and their strengths were analyzed. The use and design of these materials in the strength of concrete creates the originality of the project. When the results obtained in the project were examined, it was observed that the steel fiber concretes with the addition of waste glass, aluminum ring, disc, beverage can and plastic bottle were resistant to high pressure when compared with the control groups without additives, and the change in surface height after the impact test, visual analysis and load-time graphics showed this. It is seen that the additives have a cushioning effect against the impact, absorbing the energy against the force by 87.6% and increasing the strength significantly. In this project, where it is aimed to increase the strength of concrete structures by using the impact energy absorption feature of waste glass, plastic and aluminum, products with high added value are developed, contributing to the literature and the construction sector. With the large-scale use of the project, the costs spent on the disposal of waste materials will be reduced, the upcycling based on re-using the waste products will be contributed, and the loss of life and property due to impacts and explosions will be prevented.