2004年

在拋物線上置掛正三角形看似簡單，其實不然。本篇文章研究在二次函數的各種不同情況下，可做正三角形的分佈以及其個數。 1. 在一條拋物線上時，最多只能作正三角形。 4. 在三條對稱軸相等的拋物線和共頂點開口大小不同之拋物線上，本篇文章證明一定能找出正三角形落在它們之上。但由於最多有四個分界點，要解四次方乘組過於繁複，於是本篇文章對分界點作了一些估計，找出了分界點的極限值。 5. 本篇文章證明了對於給定的正n 邊形，存在一1 元n-1 次方程式可以通過它所有頂點。 Building a regular triangle on a parabolic curve looks easy . In fact , it doesn’t . This Article researches regular triangles distributions and its numbers in different conditions. 1. On one parabolic curve can only build regular triangles , squares and other regular polygons can’t be built. 4. For three parabolic curves which has same symmetrical axis or three concurrent parabolic curves, we prove that it can build at least one regular triangle on them .But because it can have at most 4 boundary points, to solve quartic equation is to complicated. So we do some estimation of boundary points, and find out some limits. 5. This Article prove that for given regular polygons , there exists a one dimension n-1 orders equation can pass all its apexes.

目的：1. 以地理資訊系統分析臺北市靜水生態系的分布狀況；2. 分析靜水生態系的連接度。過程和結果：我實地踏察了臺北市區的381 個地點，在其中187 處發現224 個靜水生態系，首次統整出臺北市區靜水生態系的現況資料。靜水生態系的平均密度為0.82 個/km2，其密度與人口密度成正比。以 GIS 軟體標定這些水池，發現它們成任意或叢生分布。再以 VisualBasic 程式語言設計程式，以預測移動能力不同的濕地生物在這些靜水生態系間移動的情形。結論：由程式模擬可知，能在所紀錄地點間自由移動的濕地生物種類很少，顯示都市化對靜水生態系的隔絕效應。In a city, still water ecosystems (ponds and lakes) are divided by buildings and roads, so they are not continuous in the space. I surveyed 381 sites in Taipei City and found 224 ponds and lakes at 187 sites. The density of still water ecosystems is 0.82 per square kilometer. The density of still water ecosystems is higher in areas where more people live. I use a geographical information system software to mark the locations of these ponds. Their distribution is either random or clumped. I use Visual Basic to design a program to predict how do wetland creatures move among these sites. My program tells that very few creatures can move freely, indicating still water ecosystems in this city are quite isolated.

It is beyond my logistical ability to determine the extent of the sisal problem in Namibia and as such I have investigated the following aspects, which should be of value to countries such as Tanzania and Kenya where there are still large plantations of the sisal plant. There is also a need to establish industries in Namibia and it is for these reasons that plant has been investigated.

本實驗是以實際探勘的地質及泉水資料和文獻為基礎，對於幾個可能造成冷泉降溫的原因(岩石種類、泉水pH值、流通氣體之壓力、流速)進行實驗。我們製作了一個模擬地下泉水流動的實驗管路，此管路並可同時觀察紀錄氣壓、氣體流速，以及實驗前後模擬管路的溫度變化。透過對實驗管路的熱容量校正，我們可以找出各變因對泉水降溫的關係，以建立出一個模型，期望可套用於實際冷泉的狀況，進而推論出更多冷泉的性質。This experiment uses data and bibliography from real exploration as bases to find the possibilities of why the cool spring drops in temperature. (Mineral types, spring water's pH value, air flow pressure, and movement flow.) We created a model of underground spring water for the simulation. From this model, we could observe the air pressure, movement, and the spring's change of temperature before and after the tests. By adjusting the thermal capacity in the model, we could find the direct cause of the spring's temperature drop. And hopefully be able to adopt this model to the realistic problem, increase the effort of analyzing the natural cool spring's properties.

Every year more soluble and insoluble substances are added to the oceans by runoff. This process slowly increases the salinity of the oceans. As the salinity of the oceans increase, what effect will this have on our climate? The purpose of this investigation is to determine how an increase in salt concentration affects the evaporation of sea water. Four ten liter aquaria were filled with six liters of distilled water in each aquarium. One aquarium contained only water. The other three aquaria had different amounts of Kosher salt added as follows: 120. grams, 240.grams and 480.grams. Measurements of the level of water in each tank were taken over a period of two months. The tank with the highest concentration of salt had the smallest rate of evaporation. In the feature with less evaporation of sea water the atmosphere will receive less moisture. This could result in fewer clouds and less rain fall for the planet.

氫是一種非常理想的能源。不僅效率極高，且不會造成環境污染。空氣中的含量極少，常用的電解水方式又效果不彰。我們利用Ag、Ru、Cu 、C-CuPu、C 等數種電極，與H2SO4、 H3PO4 、HNO3 電解液，分別在10V 雙電極與-0.8V 三電極下做電解水實驗，研究何種電極與何種電解液能得到最多的氫氣量。在低電壓下找出最好的電極，液與太陽能電池結合，成為電池中的一部份，讓發電效果更好，以利未來燃料電池H is a kind of great power.It is not only effective,but also no environment pollution .Owing to the H in the air is very little,so it is not easy to take .Addition to,we often to take it by electro liquid,but the electrolysis effect is not ideal. Except Ag、Ru、Cu、C-CuPt、C and so on ,in theH2SO4、 H3PO4 、HNO3 electro liquid,we have a experiment in the 10V dual electrode and -0.8V triple electrode to study which electrode and which electro liquid to get the most of H.Under the low voltage,we can fund the best electrode.It is easy to bind with solar energy battery,andit can be a part of battery.Besides, it makes the generator effect better,and it is convenient to make the fuel cell commercialize in the future.

The purpose: is to protect the building against the fires\r The main idea: is an Automatic emergency exit.\r When fires happen, the smoking detector works, giving sound and light.(signals)\r Then the emergency Exist opens automatically.

The zebrafish (Danio rerio) is a popular model organism used for elucidating complex\r developmental pathways and processes. Although the Zebrafish Genome Project is\r nearing completion, the function of most genes remains to be discovered. In zebrafish,\r where an efficient gene targeting method is still absent, costly Morpholinos (MOs) have\r been widely used to ‘knockdown’ specific genes.

本研究是[對於正n 邊形A1A2…An邊上一點P(含頂點)，想像自定點P 朝鄰邊發出一條光線，若依逆(順)時針方向依序與每邊皆碰撞一次，經一圈而可回到P 點，則此路徑稱為「光圈」。過程試著追蹤在正n 邊形內能形成光圈的光線行進路徑及其相關問題。 本研究令，且以逆時針得光圈來討論： 1.根據[光的反射原理]，探討光圈之存在性，發現除定點P 在正2m 邊形或正三角形的頂點外，其餘皆有光圈。 2.將可形成光圈的路徑圖展開成[直線路徑圖]來探討。 3.由[直線路徑圖]，觀察到形成光圈的光線行進路徑，可能存在下列情況： (1)不通過正n 邊形的頂點，且產生路徑循環與不循環問題。 (2)通過正n 邊形的頂點。 4.發現正2m 邊形光圈皆為[完美光圈]。 5.發現正2m+1 邊形光圈之路徑與有理數、無理數之特質有關。即當s 值為有理數時，路徑會循環；當s 值為無理數時，路徑不循環。 The research is about [on Point P (including the angles) on the side of regular polygons A1、A2…An , imagine the light goes from Point P to the closest side, then bumps each side sequentially counterclockwise. After going a circle, it’s back to Point P. The track is called “the circle of light.” I try to trace the light track of the circle of light and other correlative questions.] In this research, we suppose,and we discuss the circle of light according counterclockwise direction:1.According to the light reflective principles, we discuss whether the circle of light exists or not. And then we discover that the circle of light really exists except when Point P is on the angles of regular triangle or regular 2m polygons. 2.Spread out the circle of light’s track to [rectilinear track.] 3.By [the picture of rectilinear track], observing there are two kinds of the circle of light’s track: (1)If the light doesn’t go through the angles of regular polygons, it can be a circulative track or a non-circulative track. (2)When the light goes through the angles, it stops. 4.We discover that all the circles of light in regular 2m polygons are [the perfect circles of light.] 5.We discover the circle of light’s track is correlative with rational numbers and irrantional numbers. When s is a rational number, the track is circulative, if s is a irrantional number, the track is not circulative.

重金屬對人體傷害的無遠弗屆-人人皆知，根據流行病學的研究指出，長期處\r 在重金屬含量過高之地區，易造成生理病變。比方說，長期生活在砷含量高的環境\r 中，易導致肝臟、周邊血管及神經系的損害，各種癌症的發生機率也大為提高；長\r 期處在含量過高的鎘環境中，易引起不正常的鈣代謝﹐產生骨質疏鬆症、軟骨症、\r 糖尿、胺基尿酸、尿蛋白、貧血、和肝功能異常的症狀；而目前坊間所看到各類茶\r 品中含有的兒茶素則被發現具有抗氧化、抗突變及清除自由基等功能。故本實驗以\r 人類胃癌細胞(SC-M1)為材料，以微核(micronuclei)偵測技術觀察細胞長期處理兒茶\r 素((-)-epigallocatechin-3-gallate, EGCG)後，對於亞砷酸鈉(sodium arsenite, NaAsO?)\r 及氯化鎘(cadmium chloride, CdCl?)所造成的細胞遺傳毒性有何影響。另一方面則利\r 用SRB 分析法測量細胞存活率，探討長期處理兒茶素後，亞砷酸鈉及氯化鎘對於細\r 胞的毒殺情況是否改變。實驗結果顯示細胞長期處理兒茶素不會造成微核的增加，\r 但是卻會增加細胞的存活率；單獨處理亞砷酸鈉和氯化鎘則都會使細胞中微核明顯\r 的增加，且會降低細胞的存活率；而長期處理兒茶素的細胞對亞砷酸鈉所誘發的微\r 核有抑制作用且會增加細胞對於亞砷酸鈉的耐受度，長期處理兒茶素無法抑制氯化\r 鎘所誘發的微核與細胞毒性。\r \r \r It is well documented that exposure to heavy metals could cause seriously adverse\r effects to humans. Epidemiological evidence has shown that illness is frequently\r observed in residents living long-term in heavy metal contaminated area. For example,\r long-term exposure of arsenic was associated with increased incidences of liver diseases,\r peripheral vascular and neurological diseases, as well as cancers. And long-term exposed\r to cadmium may lead to abnormal metabolism of calcium, osteoporosis, osteomalacia,\r glucouria, aminoaciduria, proteinuria, anemia and abnormal liver function. Recently,\r numerous reports have shown that (-)-epigallocatechin-3-gallate (EGCG), the major\r polyphenol from green tea, have ability to anti-oxidative stress and anti-mutagenesis. In\r this report, we investigated the effects of EGCG long-term exposure in sodium arsenite\r and cadmium chloride induces chromosomal damages and cytotoxicity in a gastric cancer\r cell line, SC-M1. Our present results demonstrated cells long-term exposure to EGCG did\r not induce micronuclei (MN) formation but induce the growth rate. Sodium arsenite or\r cadmium chloride alone significantly induced MN formation and cytotoxicity in cells\r without long-term EGCG exposure. However, long-term treatment of SC-M1 cells with\r EGCG significantly reduced MN formation and protects the cells from cytotoxicity\r induced by arsenite. Long-term exposure of EGCG had no effect on MN induction and\r cell survival in cadmium-treated SC-M1 cells.