生活中不可或缺的的陽光是由各種色光混合而成的，在光線進入另一個介質時，因各種色光前進的速度不同而產生偏折，當偏折的角度很大或經過兩次以上偏折後，各色光就分道揚鑣啦﹗這也就是我們俗稱的彩虹。天上的彩虹是因為陽光照射小水滴折射又反射產生的。 在偶然的機會發現魚缸邊出現絢麗的彩虹，讓我們對對彩虹產生濃厚的興趣，透過調整彩虹實驗箱遮光﹑水位高低及光源入射角度，還有使用不同色的雷射光的過程中，我們印證了在網路上搜尋到的資料及發現了各種變因對實驗結果的影響，也同時有了改造永安漁港彩虹橋原本夜間照明方式的想法。我們以繪製彩虹橋模型，並進行光線偏折投射的方式，來探討這個想法的可能性。

本研究包含泥鰍對底棲環境、溶氧量、路徑選擇、空間學習記憶、水溫、光線明暗和電流等的行為反應。這次研究裡我們發現到: 1.乾淨的水域和平滑的底棲層是泥鰍喜歡的環境，打破我們對牠們喜歡生活在淤泥的觀感。 2.自來水溶氧量較高，泥鰍大多停留在底棲，煮沸後的冷開水溶氧量極低，泥鰍腸呼吸次數較高。 3.水溫20℃~25℃是泥鰍適合生存的溫度，一旦環境的溫度變化了，牠們的體色會隨著改變，水溫8℃以下和35℃以上不利於牠們生存。 4.泥鰍對空間具有記憶，能回憶曾經居住過的環境，且有令人覺得驚訝及意外的翻越動作。 5.泥鰍對明暗學習記憶能力，能產生制約行為。 6.泥鰍對電流的感應很敏銳，電壓6.5V就能感應到，會做出鑽掘泥砂的激烈反應。

自然狀況下之發育過程，埃及斑蚊的生命週期約為40天，而人工飼養埃及斑蚊，因幼蟲取食容易獲取更多營養以致於其成長快速，較短生活史約為29天。影響雌蚊產卵的因子可分為:(1).水的深淺：雌蚊偏愛在8cm深的水域(2).有無土的積水容器:雌蚊偏愛無土的乾淨水域(3).明暗程度:雌蚊喜愛陰暗環境下產卵。 在實驗觀察箱(90cmx30cmx42cm)中進行，但是我們發現利用淺藍色黏板及10%淺藍色糖水防蚊罐都能捕獲埃及斑蚊為數不少的數量，屬於較好的防治方法。任何一種防治方法都無法有效根除埃及斑蚊，防治埃及斑蚊應該採取綜合防治方法，例如:採用淺藍色黏板掛於埃及斑蚊常出沒的地點，且利用10%淺藍色糖水防蚊罐置於陰暗處捕獲埃及斑蚊。

農作物常遭受病毒攻擊，造成重大經濟損失，但傳統的化學藥劑無法有效抑制病毒，且易殘留汙染環境。本研究旨在利用物理性的電擊模擬外界刺激，進而探討電擊對植物啟動水楊酸主導免疫反應的影響。實驗中以10伏特的電壓電擊菸草10分鐘，能使圓葉菸草(Nicotiana benthamiana)的水楊酸標誌基因PATHOGENESIS-RELATED PROTEIN 1(PR1)表現量提升，並使菸草鑲嵌病毒 (tobacco mosaic virus ; TMV)的感染斑點數下降。顯示電擊處理可以誘導水楊酸所主導的免疫反應，並增強整體抗病毒性。另外，相較於未電擊過的菸草，電擊後的菸草系統葉在接種TMV-GFP後PR1基因表現量提升，表示電擊可能對菸草系統性水楊酸相關抗性表現產生預起效應(priming)，可以幫助植物對抗未來的病毒感染。

本實驗在探討不同變因對圓柱體滾動的影響，實驗結果得知，圓柱體內部重量與滾動 快慢沒有絕對關係，而圓柱體內部重量分布位置不同，對滾動的方向、快慢及形式則有 相當影響。重量相同時，重量分布在圓周比分布在軸心的滾得慢，但滾得久，滾得遠。而圓柱體能否滾動與整體重心位置和支點間是否產生力矩有關。若裝入半滿內容物，此時圓柱體是否滾動，則要考慮內容物是否移動，造成整體重心改變和支點是否產生轉動的力矩。裝半滿黏稠液體加入彈珠，會使重心位置緩慢改變，滾動速度也變得極為緩慢，但在坡度角度變大時，內容物則會隨著圓柱體的滾動，呈現翻轉的現象，圓柱體滾動速度也會變快。

本研究為探討霾害問題，以墨汁及色素擴散實驗模擬PM2.5污染擴散，自製PM2.5擴散觀察裝置，觀察擴散過程，污染物受障礙物阻擋，汙染物沿物體擴散，漸擴至整個空間，使污染物難以擴散。改善策略如下： 1.奈米光觸媒塗在建材，使PM2.5有機物被光觸媒分解為CO2及H2O的產生;經奈米光觸媒處理，使空間PM2.5濃度下降趨勢高於對照組(至AQI普通級別時間：70,000秒21,000秒)。 2.康達效應可將污染物疏導，解決大氣擴散不佳及建築物阻擋狀況。發現煙霧會沿半圓形管疏散，作為擴散裝置，發現裝置可更快降低空間PM2.5濃度(至AQI普通級別時間：70,000秒35,000秒)。 結合上述改善策略，使PM2.5濃度降至AQI普通級從70,000秒8,000秒，運用奈米光觸媒及搭配建物結合康達效應之設計，可達低空污生活環境。

水蟲呼吸主要透過氣管系統，新近發現透過血紅蛋白的機制可在缺氧環境中提高獲氧。戶外調查記錄8種孑孓和1類搖蚊幼蟲，室內錄影觀察發現孑孓和搖蚊幼蟲活動有明顯分層。量測呼吸管、氣管長度和氣泡大小，顯示其與孑孓在水中分布位置沒有顯著差異，但閉氣與氣管長度高度相關。竹生翠蚊、白腹叢蚊幼蟲和搖蚊幼蟲長時間停留水體底層；反觀家蚊、斑蚊則反覆上下移動至水表面呼吸。本研究假設底層活動的孑孓與搖蚊幼蟲具備類似的血紅蛋白呼吸機制以獲得氧氣，顯微鏡下觀察發現白腹叢蚊幼蟲幾丁質外殼內側充滿紅色素點狀物，且隨著調控富氧與缺氧而有色澤變化。現階段已成功增幅6種蚊幼蟲的血紅蛋白基因，未來將釐清血紅蛋白在孑孓呼吸所扮演的角色。

本作品「微笑空調」應用於大型餐飲空間，當空間內顧客少時，只將顧客餐桌位置上方的空調孔開啟，並以空氣門形成風柵，利用Ariduino程式設計控制空調孔與空氣門的開閉，達到最少空氣門與空調孔的開啟。將冷氣侷限在顧客餐桌周圍，降低冷氣的使用量，達到節能減碳的效果。 採購成本在初期因為加裝空氣門而提高，但經過時間與成本效益的估算，每天可節省536元的電費，使店家降低營運成本，提高服務品質，吸引更多的消費者，達到老闆省錢及顧客舒適雙贏的局面。 未來可以將本作品「微笑空調」加裝在任何的用餐環境，廣泛運用此產品的彈性空間設計，依照場所性質不同，決定適用的機型也依照進出門的高度衡量，配選最適當的空氣門機型，決定風量及風速。

臺灣通過《實驗教育三法》後，許多原住民族實驗教育學校如雨後春筍般成立。鑑於世界美國、加拿大、紐西蘭等國，對於原住民族教育政策提倡「文化回應課程與教學」之理念，本研究以「等差數列與級數」為核心概念，設計「鄒族文化內涵數學文本」與「漢民族文化內涵數學文本」，透過眼動儀技術及數學解題，邀請「都市原住民族學生」、「偏鄉原住民族學生」、「都市漢民族學生」、「偏鄉漢民族學生」等四群學生進行受試。實驗中，每一群學生均須完成「鄒族文化內涵數學文本」與「漢民族文化內涵數學文本」閱讀與解題。受試完畢後，本研究再針對學生所撰寫的數學解題文本與眼動儀相關數據，進行「整體之眼動指標」、「歷程分析之眼動指標」以及「數學問題的解題情形」等三類面向之分析。期望本研究所獲得的結果，也能夠回饋給未來原住民族實驗教育政策的制定或後續原住民族的相關研究上。

Research Question or Engineering Problem A stroke continues to be the most important medical and social problem of the modern world. Stroke is a type of acute cerebrovascular accident (ACVA) and is characterised by a sudden (within minutes, less often - hours) appearance of focal neurological symptoms (motor, speech, sensory, coordinating, visual and other disorders) and / or general brain disorders (depression of consciousness, headache, vomiting, etc.) that persist for more than 24 hours or lead to death of the patient in a short period of time due to a cause of cerebrovascular origin. There are two clinical and pathogenetic forms of stroke: ishemic stroke (cerebral infarction) is caused by acute focal cerebral ischemia, leading to infarction (zone of ischemic necrosis) of the brain; hemorrhagic stroke (non-traumatic intracerebral hemorrhage) is caused by rupture of an intracerebral vessel and blood penetration into the brain parenchyma or rupture of an arterial aneurysm with subarachnoid hemorrhage (SAH). ACVA also includes transient disorders of cerebral circulation, characterised by the sudden occurrence of focal neurological symptoms that develop in a patient with cardiovascular disease (arterial hypertension, atherosclerosis, atrial fibrillation, vasculitis, etc.), last for several minutes, less often hours, but no more than 24 hours, and ends with a full restoration of the impaired brain functions. Transient disorders of cerebral circulation include: transient ischemic attack (TIA), which develops as a result of short-term local cerebral ischemia and is characterised by sudden transient neurological disorders with focal symptoms; hypertensive cerebral emergency, which is a condition associated with an acute (usually significant) rise in blood pressure (BP) and accompanied by the appearance of general cerebral (less often focal) neurological symptoms secondary to hypertension. The most severe form of hypertensive crisis is acute hypertensive encephalopathy, the basis of pathogenesis of which is cerebral edema. Cerebral infarction generally is the result of the interaction of many etiopathogenetic factors, which can be subdivided into local and systemic ones. Local factors include: morphological changes in the brachiocephalic or intracerebral arteries (pathological tortuosity, etc.), atherosclerotic lesions of the vessels of the aortic arch and cerebral arteries, cardiac lesions as a source of thromboembolic cerebral infarctions, fibromuscular dysplasias of the walls of the brachiocephalic and cerebral arteries, brachiocephalic artery dissection, vasculitis (arteritis), changes in the cervical spine with the formation of extravasal compression of the vertebral arteries, anomalies in the structure of the vessels of the neck and brain (hypoplasia of the vertebral artery, trifurcation of the internal carotid artery), etc. Systemic factors include: disorders of central and cerebral hemodynamics (a sharp change in BP or a decrease in cardiac output, etc.), hereditary and acquired coagulopathies, polycythemia, certain forms of leukemia, hypovolemia, psychoemotional stress / distress, etc., hypercoagulative / hyperaggregatory side effects of a number of medications (oral contraceptives, etc.). In the 俄羅斯n Federation, more than 500 thousand people have a stroke every year. About 25,000 new cases of stroke occur in St. Petersburg every year. The incidence of stroke in the 俄羅斯n Federation is 3.48 ± 0.21 cases per 1000 people. The incidence of various types of ACVA varies widely, in particular, cerebral infarctions account for 65–75%, hemorrhages (including subarachnoid hemorrhages) – 15–20%, transient cerebral circulation disorders account for 10–15%. The frequency of cerebral strokes in the population over 50–55 years old increases by 1.8–2 times in each subsequent decade of life. Medical and socio-economic consequences of ACVA are very significant, in particular, death in the acute period of stroke occurs in 34.6% cases, during the first year after the end of the acute period in 13.4% cases; severe disability with the need for constant care is present in 20.0% of stroke patients; 56.0% have limited working capacity and only 8.0% return to their previous work activity. Disability due to stroke (the national average is 56–81%) in our country ranks first among all causes of primary disability, amounting to 3.2 per 10 thousand people. Stroke mortality among working-age population has increased in the 俄羅斯n Federation by more than 30% over the past 10 years. The annual death rate from stroke in our country is 175 per 100 thousand people. Stroke annually becomes the main cause of disability: 85% of victims experience a decrease in strength or a complete lack of ability to control the muscles of half of the body and only half of them recover limb functions partially or completely; the rest of those who have suffered a stroke remain paralysed and require care, since they are not able to completely independent existence. In this regard, recently, in the process of rehabilitation, the technology of brain-computer interfaces (BCI) has begun to be actively used. on the basis of this technology exercise machines are created. These exercise machines are controlled directly by the patient himself. This feature of the technology increases the effect of the procedure by providing a direct connection between the patient's desire and effort with the work of the simulator. The greatest development of this technology is observed in the field of medicine, where BCIs are used as a means of communication or as one of the tools of neurorehabilitation. In this regard, it seems very promising to develop the most optimal brain-computer interfaces. The goal of our project was to create an automated training complex in the form of a neuro-controlled glove with tactile feedback, designed to simplify access to rehabilitation means.

前作「建構邊長為整數的圓內接多邊形」[2]中，我建構了多類兩種相異整數邊長的圓內接多邊形的一般式。本研究利用n倍角公式，建構三種以上相異整數邊長且外接圓半徑與所有對角線長均為整數的圓內接多邊形。 我依正整數的分割數將圓內接多邊形分類。除了正多邊形之外，6類圓內接五邊形、10類圓內接六邊形、14類圓內接七邊形。取畢氏三元數做變數變換，做出所有類型相異且有不同邊長的圓內接多邊形。另外在建構圓內接八邊形、九邊形與十邊形時，我考慮建構邊長相異且其中一邊為外接圓直徑的圓內接四邊形、圓內接五邊形與圓內接六邊形...等，將上述圖形做適當的伸縮與組合，即可以建構邊長皆為相異的整數的圓內接n邊形。研究過程也發現可用同一組一般式可建構不同的圓內接多邊形。最後推得各類非等邊長且外接圓半徑亦為整數的圓內接多邊形皆可尺規作圖。

本研究以柯氏素菌瓢蟲(Illeis koebelei)針對白粉病來進行生物防治研究，柯氏素菌瓢蟲屬於完全變態昆蟲，幼蟲4齡，各齡期約2至3天，卵期約6.5天，蛹期約6天，從產卵至羽化成蟲約需23.7天，建議以前胸寬來推估幼蟲齡期為佳。 終齡幼蟲取食白粉病菌的平均速率為0.84mm2/分，成蟲則為1.15mm2/分，是終齡幼蟲的1.37倍。放置5隻成蟲進行生物防治，100%感染的胡瓜子葉約需0.3個工作天；60%感染的胡瓜本葉約需4個工作天；南瓜葉則需8.1工作天。以60%感染的葉片進行生物防治估算成蟲所需數量，胡瓜子葉僅需一隻即可於1工作天內完成，胡瓜本葉若一個工作天內要吃完，則需約21隻，但瓢蟲密度可能偏高，建議放置4隻可於5個工作天內吃完或7隻可於3個工作天內吃完。