將二維(2k×2k－1) 殘缺棋盤的完全覆蓋性質，推廣至三維( 2k×2k×2k－1)殘缺方塊，再推廣至四維(2k×2k×2k×2k－1)殘缺數對集合及n維( 2k×2k×…×2k－1)殘缺數對集合。

My project ‘Avert’ (To avert and vertebrae combined) involves research into posture related back problems and a solution to help prevent back pain by maintaining correct posture. My solution is a chain-like structure fitted with 24 sensors that is sewn into a Skins compression top. When worn the chain is aligned with the user’s spine from the lower back to the base of the neck and moulds to the spine as it moves. As everybody’s back is slightly different it is important that the device can recognise the difference between what may be bad posture for one person, yet relatively normal for another. To solve this the device takes an initial reading of the user’s spine in correct posture and saves it as a reference measurement. Bad posture is defined by the device as angles that exceed the natural movement of individual vertebrae and their platelets. While in use the 24 sensors are continually measuring the shape of the user’s spine and comparing it with the original reference measurement taken earlier. If any measurement links to unhealthy posture a light will flash and an alarm will sound either aloud or through headphones until the posture is corrected. This device can be worn during light activity and non contact sports to encourage the user to maintain correct and healthy posture. The device can also record and save poor posture measurements that can be uploaded later to a software program I designed to draw the shape of the spine as a vector diagram. The device can also be plugged directly into a computer so that the user can see the shape of their spine as it moves in real time. I, along with others, tested my solution with many activities and found Avert to be a beneficial and reliable product as it successfully detects slouching and many potentially problematic spine shapes. Throughout my research I gained a thorough understanding about the potential damage bad posture can cause and the endless number of activities it occurs in. With further development I feel there is a huge potential for Avert to become a marketable product used not only for posture correction in everyday activity, but for many other purposes such as physiotherapy, biomechanics and athletic performance. Many people have approached me with praise and requests for the Avert system which is extremely exciting and also rewarding to know that my research has the potential to help people.

我們希望嘗試雙氧水電池這個新議題與其他氧化劑次氯酸鈉、硝酸鐵電池，是希望它可以在實驗是輕易製作，且是環保而強力穩定的電池。實驗的過程我們儘可能使用低污染的材料，也發現一些不錯的實驗結果： \r 一、雙氧水電池，燒杯中直接反應：以10%雙氧水、Zn當陽極所產生的電壓電流最大，比文獻提到的A1電極好。 \r 二、雙氧水電池微型化，H2O2 30%中加入寒天末、碳粉與少量磷酸鈉，可產生大且穩定的電流與電壓。如此製作的電池，並不亞於市售電池。 \r 三、三種電池的比較，以H2O2最為穩定，Zn或Mg為電極可以產生很大的輸出電流。NaCIO與Fe(NO3)3水溶液電池，反應速率太快，電池雖有高電壓與電流，但不是很穩定。H2O2確實可以發展為強力環保電池。

During the biology classes from junior to senior high, we have learned many interesting instance of different animal behavior. Most people paid more attention on the Vertebrates as their experimental subjects. The other species around us, although with simple body structures, may behave rather complicated and versatile reactions. In particular, one of the most common insects with simple body structure in our neighborhood is the American cockroach (Periplaneta americana). The aim of this study is to investigate the different swing motion modes of antennae of American cockroach by computer-aided Imaging Analysis. The parameters of each swing motion mode were calculated in order to analyze how light (including light stimulation and light adaptation) and vibration may affect the antennae behavior of American cockroach. It was found that the antennae swing motion modes were significantly different under different types of stimulus. If two types of stimulus occurred at the same time, the reactions of antennae motion may become conformable. In conclusion, antennae behavior has shown to significantly affect the survivability and environmental adaptation of American cockroach. Not only the antennae are considered as the sensitive receivers; but also they are the important transmitters to reflect physiological status and environmental condition.從國中到高中的生物課堂上，我們學到許多有趣的動物行為例子，但前人多以脊椎動物作為研究對象，而我們身旁的許多生物，身體構造雖較為簡單，但行為表現卻豐富多樣，尤其是常見的美洲蟑螂(Periplaneta americana)，可說是最親近我們的昆蟲之一。本研究以攝影紀錄的方式，透過電腦進行影像分析，記錄不同刺激下蟑螂的觸角擺動模式，並計算出各項觸角運動的參數，以瞭解光線(照光刺激或照光適應)與震動刺激對其觸角行為的影響。我們發現在不同因子的刺激下，觸角擺動的模式具有差異，若兩種刺激同時發生，蟑螂觸角的行為亦具有整合性的反應，證明蟑螂觸角的行為模式，對其生存與適應具有重要意義。這也代表觸角除了為敏感的受器，亦為能反映出生理與環境狀態的重要動器。

由於電子的技街，日愈精進，以及對於引擎效率提昇的要求，汽油引擎的燃料供應系統，由原來的化油器，已逐換成了電子控制系統，複雜的油路，也被電路取代，引擎的狀態完全操之在數個感知器的電壓變化中，傳統的檢修方法或使用三用電錶逐一檢查的方法，難以掌握電壓瞬間的變化及暫態性的故障。

(一)內錐孔傳統之量測方法： 利用兩直徑不同之鋼球置於錐孔內而測出兩球之中心距離，計算出半角(Sinθ/2)之值再求正切(Tanθ/2)函數乘以2即得： 兩球中心距 c=h-d1/2+d2/2=[2h-(d1-d2)]/2 兩球半徑差 a=d1/2-d2/2=(d1-d2)/2 Sinθ/2=a/c=[(d1-d2)/2]/{[2-(d1-d2)]/2}=(d1-d2)/[2h-(d1-d2)] (二)以上測量時須使用l.平板 2.鋼球 3.高度規 4.深度分厘卡等綜合如下。 1. 需較多之量具。 2. 測量手續繁多費時。 3. 須經計算。 且在工作進行中無怯量測須待工作完成時才能量測。

五下的自然課本中有說：「氣壓和天氣的關係非常密切，高氣壓來了天氣會變冷，穗定後天氣會轉好。知道了氣壓的高低變化，就可預測天氣。」這一段話我們始終不了解其中的意思，於是就展開了下列的探討活動。

「物理馬戲團」這本書有個實驗是，將水倒入捲成圓形的水管中，會流不出來，我們想研究這個現象。首先改變纏繞的水管圈數，發現上升水位會改變，而增加的高度與所繞圓柱體的直徑相等。改變圓柱體的直徑，發現圈數增加，上升水位也增加。而改變水管纏繞密度，則不影響實驗。將水管纏繞為橢圓狀，發現橫軸長改變，不影響上升水位高度；若縱軸長改變，則上升水位高度會增加。改變水管為波浪狀，發現影響上升水位高度的仍然是波浪垂直高度及波浪數目。 最後，探討過程中水管內產生的空氣柱，發現是導致上升水位改變的主因；而且，封閉空間的空氣柱，會符合波以耳定律。也證實，只要水管纏繞圈數夠多或纏繞的垂直高度夠大，的確會造成水流不出來的現象。

「馬達」是種將電能轉換成動能的電動機，如果反向操作，就變成發電機。於是，我們應用其『有「感」而「發」』的磁生電原理，研究自製一台靠風力轉動發電的發電機。研究包含：（一）拆解馬達，瞭解其內部構造及功能。（二）利用反式馬達發電機實驗，發現線圈粗細和圈數、電樞角度及磁性都會影響其產生的電壓。（三）研發盤狀發電機，透過不斷改良其系統及應用齒輪組，提高發電機發電效能。我們發現，當發電機轉動的轉速越快，產生的電壓越高、讓LED燈越亮。（四）設計並研究增進風扇轉速的變因，找出轉動效能最好的風扇帶動盤狀發電機發電。（五）探討盤狀發電機內線圈粗細與數量變因，並發現細線圈發電效能較好，且增加線圈數量能提高發電效能。

某次的生態觀察讓我們對蓬萊點琉璃蟻的特殊行為感到興趣，因此激發我們的好奇心，定為此次科展題目。針對我們感到疑惑的問題設計實驗，逐一探討與深入研究蓬萊點琉璃蟻，發現與文獻記載分布不普遍有所牴觸，經過實驗與觀察後了解蓬萊點琉璃蟻為優勢之歸化亞種，能應用於生物防治，有助於阻止外來種家蟻的擴散。