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Fenorhythmes Of Yakut Taiga. The Calendar Of The Nature Of Olekminsk Reserve.
“Natural phenological per iodization of a year is called nature calendar…”\r The role of rivers in nature and man’s life is great. They connect people and cultures, form climate, give life to the thousands of living beings. \r In the tasks of researches there were:\r 1. To determine the peculiarities of seasonal dynamics of alive and inanimate nature of Olekminsk reserve;\r 2. To find out (to reveal) the peculiarities of phenological seasons of the territory of Olekminsk reserve. \r _ To determine of phenoindicators which are separate from phenological seasons \r _ To establish the middle dates of the advance of phenological phenomena \r _ To determine the duration of phenological seasons of a year.\r According to the general nature of plants the territory Olekma-Amga interriver refers to the provincial of pine-needles taiga zone, to Verkhne-Lensky flora area. Predominating part of the plants of the reserve relates to boreal types. The flora of the superior plants of Olekminsk reserve includes 654 types. The fauna of area is presented by 40 types of mammals from 45 living in the south of Yakutia, 187 types of birds, 2 types of amphibians and 2 types of reptiles.\r Besides, phenological researches were conducted on the testing area of school ecological control and during arranging of field ecological schools since 2000 till 2010. \r In all 169 phenological phenomena were analyzed from different phenological seasons of year for the last seven years. The gross amount of analyzed information composed 4000 information units.\r Results and conclusions:\r 1. The peculiarities of the seasonal changes of natural complexes were determined for the first time for south of Yakutia on the example of the territory of Olekminsk reserve. The calendar of the nature of Olekminsk reserve was composed. The analysis of phenological observations allowed establishing the row of phenoindicators, with the help of which we can determine advance of that or either phenological stage, as well as the disposition of current vegetative period can be forecasted. The information maybe used in organizing of the measures of nature protection, struggle with pests and the diseases of useful plants, parasite and tranmissive diseases of man and home cattle.\r 2. Geographic position and climatic peculiarities of territory form the peculiarity of seasonal rhythms of Olekminsk’ reserve’s nature.\r 3. All components of landscape in its seasonal changes tightly are connected with each other with causative-investigation ties having formed the definite complex of characteristic phenomena per the stage of seasonal development. \r 4. The carried out analysis of the primary materials of the Annals of the nature of the reserve and information from the field of ecological schools for seven years since 2001 till 2007 allowed detecting the peculiarities of phenoclimatic seasons of the territory of Olekminsk reserve.\r 5. Phenological and temperature outsets of phenological stages were determined.\r 6. Intervals and average of many years dates which are characteristic for phenological phenomena are determined.\r 7. The calendar of the nature of Olekminsk reserve was made on the basis of the processed information.
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聚球藻 RF 一 1 品系生物時鐘之特性
我們成功的用溶氣計偵測到了聚球藻 RF-1 在 28℃下光合作用的概日韻律。和傳統的研究方法比起來,這個方法具有連續偵測的優點,減少因不斷取樣所造成的影響,此實驗可觀察到聚球藻 RF-1 溶氣量之變化圖與一般藻類(如單殼縫藻)不同.在光 /暗條件下 RF-1 之溶氣量的增加與減少均呈週期性變化,而且此變化現象在進入連續照光後仍然可以維持兩個循環以上,這些結果顯示以溶氣計連續偵測聚球藻 RF -1之概日韻律是可行的,而且所得到的變化圖形遠比傳統方法(於不同時間取樣)所得者自然。本實驗同時發現含聚球藻之培養液的溫度,在進入黑暗週期時會有明顯的上升,由於其變化程度比其他藻類明顯,如加以探討應有助於對此藻以及其韻律特性之瞭解。We successfully detected the photosynthesis circadian rhythm of the prokaryote Synechococcus RF-1 under 28℃ by a DO (Dissolved-Oxygen) meter. The advantage of this method, comparing with the traditional methods, is that it can detect signals continuously, reduce the influence of discrete sampling. The DO curves of the Synechococcus RF-1 are different from that of other algae. Under Light/Dark conditions, the DO values of RF-i increased and decreased periodically. The periodic phenomena progressed over two cycles under constant lighting conditions. These results revealed the feasibility of using DO meter to continuous detect the circadian rhythm of the Synechococcus RF-1 The detected DO curves looked more natural than those obtained in the traditional discrete-sampling method. We also found that the temperature of the culture increased in dark cycle. Since the variation is clearer than that of other algae, further investigation will benefit the understanding of the Synechcoccus RF-i and its circadian rhythm.
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一些Moire patterns 的數學性質研究
Moire 為法文,其英譯為watered, 是古代織布技術的一種應用;將印有規律條?的透明薄片重疊時,稍微移動或轉動其中的一片,會形成極大的圖形變化,稱為moire pattern本作品針對三個moire pattern 的數學式加以推導:(一)、兩張透明片各印有等間隔平行線,轉動其中一片使兩線的夾角θ,亮紋垂直距離和暗?垂直距離的比值為tanθ/2tanθ 。(二)、兩張透明片各印有輻射線,重疊後行成圓系,可由代數或幾何加以證明,利用三角函數可推導出此圓系方程式為:x2+{y-rtan[π/2-(θ-?)]}2)]}={rsec[π/2-(θ-?)]}2)]}\r \r (三)、透明片A 印有等間隔平行線,B 印有符合高斯曲線的平行線,AB 重疊時,形成一系列的高斯曲線,AB 的夾角減少時,會增大曲線的曲率,我們進一步討論曲線的曲率和平行線斜率的關係。Moire is the French word “watered” and refers to an ancient technique employed in cloth making. The moire occurs whenever two or more transparent sheets with periodic strips on them are superposed. The characteristic of moire patterns is the fact that a slight shift of sheets will create dramatic alternations in the observed patterns. In the present report, We derive the equations of three different moire patterns. First of all, take a sheet with equal spaced straight lines and placed it on top of another identical sheet. They are made to intersect and form an angle of θ. As the angle changes slightly, it produces huge changes in the spacing of moire fringes. We can derive a formula related to the interfringe distance. The ratio of bright fringes and dark fringes is tanθ/2tanθ.Secondly, two transparent sheets with radial lines on them are overlapped, forming a pattern similar to the lines of force between point charges. We can find that the pattern is a series of circle by means of algebraic and geometric proofs. And proven by trigonometric functions, we canconclude that they satisfy the equation :x2+{y-rtan[π/2-(θ-?)]}2)]}={rsec[π/2-(θ-?)]}2)]}\r Thirdly, a set of lines of equal spacing is overlapped with a second set of lines whose spacing are derived from a Gaussian curve. A series of Gaussian curves is reproduced in a moire pattern. Reducing the angle of intersection between the two figures steepen the curvature. We discussed the relation between the curvature and the slope of inclined lines.
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由人類活動造成的溫室效應可能導致地球溫度升高,聖嬰現象加劇等現象與災害,本文利用個氣候中心發展出的模式,推估台灣和東亞地區未來氣候變遷的情況,我們發現當大氣中的二氧化碳濃度增加為現在的1.9倍時,台灣地區的年平均溫度將升高0.85-2.50度C而東亞地區將會升高1.46-4.07度C,在同條件下個模式的平均推估量也顯示,台灣地區將每天增加0.10公厘的降水,而東亞地區每天將增加0.08公哩,我們希望這個研究結果可以做為其他相關研究的基礎,使大家提早因應未來氣候變遷所可能引發的種種變化;Greenhouse effect, incurred mainly by human activities may result in lots of phenomenon and damages such as the increasing of the world's average temperature and he aggravation f the "ElNino" effect. In this research, we simulate future metrological values by employing several simulation modes developed by different climate centers and predict future climate changes in Taiwan and East Asia area. We found that when the concentration of carbon dioxide exceeds 1.9 times than current value, the estimated range of the increased year-average temperature are0.85-2.5℃ and 1.46-4.07℃ for Taiwan and East Asia, respectively. Under the same condition, the ensemble mean reveals that the precipitation raises will be 0.1 and 0.08mm per day, for Taiwan and East Asia respectively. We hope our work can be the foundation of other related researches, and all the researches together can help for coping with possible damages caused by future climate changes.
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磁流體的浪潮-磁場梯度下磁流波紋之研究
在本次實驗中,我們發現在不同厚度的磁流體薄膜中,會因本身磁性粒子結合,而呈現不同的影像圖形。隨著薄膜厚度增加,其磁性粒子會由鏈狀排列成塊狀叢集,可是一旦外加磁場後,又要全部轉向磁力線方向集結。另一個發現是將磁流體薄膜放在一個不均勻的磁場梯度中,則樣品內的磁流體粒子,不僅會隨著磁力線的方向排列移動,更會出現磁流波紋,其行進路徑是沿著垂直於磁力線的方向,向磁力線密集處移動。我們亦發現在不同的薄膜厚度及不同外加磁場下,其”磁流波紋”的波速亦會隨之改變。一般而言,樣品的厚度愈厚,或外加磁場愈大,其”磁流波紋”的波速愈快,反之則愈慢。最後,我們列出了一些磁流波紋的應用,相信是精采可期!In this experiment, we find that in different thickness of magnetic fluid different images will appear, because of the connection of magnetic particles. With the increasing of thickness the magnetic particles will change its shape from chains to blocks. But when we add external magnetic field, they will get in line one by one to the direction of magnetic line of force. We also find that we put the magnetic fluid film in the uneven magnetic gradient, the magnetic particle in the sample not only follow the direction of magnetic line of force but also show the “magnetic wave”. Its move path is perpendicular to the direction of magnetic line of force. In the different film thickness of magnetic field, the wave velocity of the “magnetic wave” will change. In generally, the thicker the sample is, or the larger the magnetic field is, the faster the wave velocity of magnetic wave is and adverse is true. At last, we list the applications of “magnetic wave”, we believe they are marvelous!
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Bio-Conversion of TiO2/UV System Pretreated Rice Straw to Ethanol
1. Purpose of the research :\r One of the greatest challenges for 21st century society is to meet the growing energy demand for transportation, heating and industrial processes. U.S. and Brazil are currently converting corn starch and sugarcane juice into ethanol; however, these are edible products. To stop global warming and poverty, we tried to determine to develop new pretreatment method to produce biofuel using non-edible parts of agricultural products.\r 2. Procedures :\r For our research purpose, we conducted ‘Preparation of Rice straw - Powder’, ‘Pretreatment Method of Rice Straw and Statistical Optimization Using Response Surface Methodology’, ‘Enzymatic Hydrolysis for Saccharification of Pre-treated Rice Straw’, ‘Analyses of Pretreatment Efficiency and Production of Glucose and Xylose Using HPLC & TLC’, ‘Ethanol Fermentation and Recovery’, ‘Strain Improvement for Pichia’.\r 3. Data :\r For the first time, rice straw was pretreated in a novel manner using hypochlorite-hydrogen peroxide (Ox-B) solution. The optimum pretreatment condition was analyzed by response surface methodology and the pretreated rice straw was hydrolyzed using two kinds of enzymes. Following hydrolysis, Saccharomyces cerevisiae and Pichia stipitis were inoculated for ethanol production. The optimum condition was 60 min pretreatment using Ox-B solution containing 0.6% hypochlorite and 25% hydrogen peroxide for 1 g rice straw in 240 ml total reaction volume. The Ox-B solution treatment was an essential step for efficient hemicelluloase hydrolysis. Under these conditions, 406.8 mg glucose and 224.0 mg xylose were obtained from 1 g rice straw. The structural change of rice straw after pretreatment and enzyme hydrolysis was examined by scanning electron microscopy. With the 10% initial sugar concentration, the final ethanol concentration was about 3.46%, which is 90.5 % of stoichiometric and fermentation efficiency yield.\r 4. Conclusions :\r Rice straw was pretreated in a novel mean by using an Ox-B solution broadly used in potable water treatment. Pretreatment modified the structures of lignocelluloses. The Ox-B solution treatment was an essential step for efficient hemicelluloase hydrolysis. Pretreatment modified the structures of cell wall. Further optimization studies of the fermentation process and strain improvement research (for derepressed mutant) are in progress. In the future, I hope to see cultivators to move by the ethanol produced from rice straw and agricultural wastes.
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雷射光碟(以下簡稱CD)除了在電腦、音響方面有甚佳的視聽功能外,在光線照射下,呈現彩虹狀的光譜,必定引起你我研究其光學性質的興趣。國內以CD研究光的繞射的著作,有李偉等四人近三年發表五篇,國外科教期刊自1991年迄今共有19 篇,在老師指導下,利用CD進行了8 項實驗,分成三大項。1.利用氦氖雷射分別照射舊唱片、CD、DVD,反射光形成繞射現象,由dsinθ=mλ,量出槽距。2.將CD-R 的鋁層刮掉,(整疊購買的CD-R上下有數片未鍍鋁的瑕疵片),成為透光式CD(透射式光柵),將其中心半徑5.5 公分部份,用黑紙遮住,正對陽光,螺旋狀的溝槽將陽光聚成一點,量出各色光到CD的距離,可算出色光的波長。3.透射式CD置於投影機鏡頭前方,投影機置物台上,放置化學藥品,可直接在屏上觀察吸收光譜。The rainbow of colors reflected from the surface of an audio compact disc (CD) is a familiar sight.It is the phenomenon of light diffraction. A standard CD has 20,625 turns of the spiral, and each line is spaced by 1.6μm. This provides a grating of 625 lines/mm. We used ordinary CDs as reflection grating in our experiment,and transparent factory rejects with no coating but printed data spirals as diffraction grating. We conducted eight experiments of diffraction using the two kinds of CD. (a) Determined the grating spacing of an ordinary CD using a laser beam. (b) Determined the grating spacing of a transparent CD using a laser beam. (c) Studied the diffraction patterns caused by a laser beam held at angles to a transparent CD. (d) Measured the wavelengths of sunlight using a transparent CD. (e) Measured the wavelengths of sunlight using an ordinary CD. (f) Formed a rainbow using a transparent CD. (g) Observed the scattering of light using a transparent CD. (h) Demonstrated the absorption spectrum using a transparent CD and an overhead projector.
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此篇報告中,主要是在敘述以單晶片8051為主體,運用其所具有之功能,製作成此作品,稱為記數抽籤機,又稱抽籤機,根據本篇報告結果,可歸納出以下結果:1.本實驗能讓初學者對單晶片8051之特性與功能有更深的了解,以增進實驗與成品實作的能力。2.此作品以便利為原則,故其體積不大,重量輕攜帶方便。3.使用之元件普遍,價格便宜,在電子材料行均可買的到,成本低。4.依本品之功能,可用於學校讓老師進行抽問,也可用於其他有抽籤或抽獎活動之場合,公平又公正。;In the report, we take the single chip 8051 as a main body, making use of function to do the counting drawing lots machine, which are also called drawing lots machine. According to the resultof this report, conclusions are as followings: 1. With the experiment, the beginners egt deeper understanding about the characteristics and the finished products. 2. This machine is light and its volume is small, so it is easy and convenient to carry with. 3. The essential elements are common,cheap and can easily be bought in the store which is sellong electronic materials. 4. The drawing lots machine can be used at schools when teachers want to pick out some students to ask or it can be used for some drawing lots occasion as well. The outcome is just and fair.
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以數位像素分析法探討兩棲類變色行為之研究
本研究是以數位科技改良生物實驗上的傳統比色法,並探討中國樹蟾及台北樹蛙的變色行為。有些兩棲類有變色行為,這是眾所皆知的現象,過去一向採用比色法判斷生物體的體色變化;然而,以人眼去測定色差,會有相當大的主觀誤差。本研究及是探討以數位科技量化並比較實驗對象的變色情形。在研究過程中,用電腦量化數位相機所拍攝的影像,以像素的方式呈現出來,得以取的準確且客觀的實驗數據,並加以解析,也經由此一實驗方式,交叉比較中國樹蟾及台北樹蛙在不同環境和不同時間下的變色情形。結果顯示:樹蛙變色和環境顏色及時間有密切關係,且在短時間內以數位量化的方式解析其變色行為的方法極為可行。The purpose of this study is to investigate the color variation behavior of tree frogs using an image processing technology. It is known that some of the amphibians have the ability to change their skin color under different circumstances. In the past, a conventional “color comparison” method was frequently used whenever it comes to analyzing the color variation of organisms. However, it is realized that evaluation of color difference by human eyes is extremely unreliable. An advanced image processing technology is thus suggested to quantify the variation of skin color of tree frogs under different conditions in this experiment. Accurate quantification can be determined from the pixel number of exhibited digital images during the experiment. The color variation of different species of frogs (Hyla chinensis & Rhacophorus taipeianus) is also compared under different parameters. It is found that the color variation of tree frogs is closely related to the color of back ground as well as time. The proposed digital quantification technique has been successfully demonstrated to be an effective method for analyzing the color variation of frogs within a very short time.
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臭氧事件日-氣象與地形對臭氧於近地大氣層之生成與傳輸影響
2001、2002 年監測資料被用以探討風場、時間、地形對臭氧傳輸影響。完成沿海地區與盆地內各二次採樣分析,探討各污染物與風場之垂直變化,及地面臭氧分布與風場變化。結果顯示各月份與全年之日間,其相對濕度與O3 相關度最高,日照次之。提高濕度,最能抑制[O3]。夜間NO 與O3 的相關度最高,濕度次之。臭氧事件日時:(1).11:00 即可產生高臭氧,(2).沿海地區在臭氧事件日仍保持低[O3], (3).盆地效應改變風場,使近山地區[O3]居高不下,(4).因處O3 不斷被吹入,沿海地區傍晚時之[O3]下降速度減緩。臭氧事件日之O3 生成速率R 與消失速率常數L 被求出,其中14:00 後之R 與L 值均由正值轉負值,顯示大氣反應型式明顯轉變。R 與L 值在14:00∼15:00 間最小,係因O3 反應生成光化學煙霧所致。16:00 後另一低R 與L 值,則可能導因O3 與微粒或水份反應。分析結果顯示:(1).污染物會隨高程而略增,最高濃度在300∼500 m 處,(2).各高程大氣均可分析出73 種主要HC,其隨高度之分布被繪出與探討,(3).低層大氣會有較多低分子量HC,而高層大氣則有較多高分子量HC。結果亦顯示: (1).盆地內[O3]、[NO]與[NO2]不僅較沿海地區高,且於各高程之變動亦較大,(2).沿海地區THC、烷、烯類均較高,且隨高程增加而增高,但在盆地內則相反,(3).二地區各高程之鹵化物、芳香族、氧化物與其他有機物之平均濃度相近,但沿海地區之濃度變動較大。探討O3 之二傳輸現象獲知:(1).風吹向盆地內時,[O3]隨風向遞增,R 與L 會由12:00 之正值,轉為14:00 之負值;(2).風由盆地內外吹時,[O3] 隨風向遞減,R 與L 值提前於12:00 即為–202.561 與–1.621,但14:00 時R 與L 值增大為–76.411 與0.244, (3).風向並非決定[O3]的主要因素,地形與環境因素才是。實驗結果證實:(1).不同HC 會影響O3 之生成與消失,(2).改變[NO]o 對[O3]影響不大,但高[NO]會使得[O3]下降略緩,(3).降低HC 與[NOx]雖可使 [O3]略降,但提高濕度最能抑制[O3],(4).在O3 的衰減量上,[O3]隨濕度增加而快速降低,但衰減率則隨[O3]o 的增加而降低。一個臭氧之統計模式被建立,臭氧與水反應速率常數與速率式也被求出。
The monitoring data were used to investigate the effect of surface wind, time, and terrain on the transformation of ozone. The sampling and the analysis in the coastal and in Taichung basin were completed. The vertical distribution of O3, NOX and HC and the different altitude wind were investigated. The contour of O3 and surface wind with 3D map were plotted. The results show that the correlation behaves relativity of relative humidity with ozone is the best, and solar radiation is the next. Enhancing environmental moisture can efficiently decrease ozone concentration. In each ozone event day are: (1) the high [O3] always starts from 11:00, (2) the ozone concentration on the coastal is always low due to the high humidity, (3) the high [O3] in the east of the basin is due to the basin effect which causes changes the surface wind, and (4) in the evening, the descend rate of [O3] in the coastal area is lower because ozone blows into the coastal area. The formation rate (R) and disappear rate constant (L) of the ozone event day were obtained. The values of R and L change from plus to minus before 14:00. The values of R and L are lower at 14:00∼15:00 due to the photochemical smog formation. And another lower R and L value before 16:00 may be due to ozone react with particle or water. The results of analysis indicate that: (1) the concentration increases with increasing altitude, and the maximum is at 300∼500 m height, (2) 73 kinds of hydrocarbons were identified, and the concentration variation with altitude was also investigated, and (3) most of low molecular weight HC are at lower altitude, otherwise high molecular weight HC are at higher altitude. The results also show that: (1) [O3], [NO], and [NO2] on the basin are not only lower than on the coastal, but also their variability of concentration are big, (2) THC, paraffins, and olefins on the coastal are higher than on the basin, and the concentrations increase with increasing altitude on the coastal, but on the basin is decreasing, (3) the average concentrations of halides, aromatics, oxides, and others are similar on both area, but concentration variability on the coastal is obvious. Two types of O3 transformation was investigated, the phenomenon indicts that: (1) when wind blew into the basin, [O3] increased with wind direction. The value of R and L change from positive (12:00) to negative (14:00); (2) when wind blew out of the basin, [O3] decreased with wind direction. The more small value of R (−202.561) and L (−1.621) appeared at 12:00 earlier. But the value of R and L will become bigger to –76.411 and 0.244; (3) ozone concentration does not just dependent on wind direction., topography and surrounding conditionsa are more important effect. The experimental results show that: (1) ozone formation or disappearance depends on different HC, (2) the effect 2 of [NO]o is small for ozone photochemical reaction, but [O3] decreases with increasing [NO], (3) the descend rate of O3 depends on high humidity more than different kinds of HC or [NO], and (4) the descend amount of ozone increases with increasing humidity strongly, and the descend rate of ozone decreases with enhancing [O3]o. A statistical model was developed. The reaction rate and rate constant of ozone reaction with water were also obtained.
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本次研究利用Web Sevrice軟體系統和Microsoft SQL Server的全文搜尋(Full-Text search)並藉由使用者選擇的圖片組合排列從系統資料庫中檢索比對,篩檢出正確或者最相似的餐點。Web Service 是建立於網際網路上之系統架構,且為一個具開放性、分散式的軟體元件,其基礎建立在HTTP、XML、SOAP、WSDL和UDDI等標準協定上,此研究即是透過Web Service系統與資料庫伺服器的連結進行。很多數位化資訊是以沒有結構化的文字資料,存成純文字檔及格式化的文件。這一類的文字資料儲存在檔案系統,而許多組織現在將這一類資料儲存到關聯式資料庫。這樣做就可以廣泛利用資料庫的好處-包括高效能存取、查詢能力、對使用者而言簡單的應用程式使用者介面,以及安全的遠端存取、查詢能力、對使用者而言簡單的應用程式使用者介面,以及安全的遠端存取。運用此功能即可在配對完成時搜尋最佳的結果並加以排名。「打破語言隔閡-以圖點餐之數位餐廳 」不只消除語言隔閡,更讓點餐手續方便許多,並讓錯誤的可能性降低。另外圖片資料庫的增減簡單快速、介面明瞭易懂。希望這些應用及創新能讓人們用餐方便及餐廳事業蓬勃發展。This research uses Web Service software system and Microsoft SQL Server. To choose the correct or the most similar meals by checking the combination and arrangement of the pictures chosen by users form the system data banks. Web-Service is a system structure establishes at the Internet. And its an open, dispersed software part. Its foundation is established at the standard agreement of HTTP,XML,SOAP,WSDL, and UDDI. The research proceeds by linking Web Service system and data-bank server lots of digital data are stored as words files and stylization documents without any structural words data. This kid of ward data are stored at file system, and many organized systems now store them at connected data banks. By doing this, people can make the most advantage of data banks- including efficient access, inquiry abilities, simple applies user’ interface, and safe remote access. People can find the best results and place them when this function finishes matching. It can not only eliminate language barriers but also make order procedure more convenient. It can also lower the mistake possibilities. In addition, we can increase or decrease pictures of data banks easily and fast. We can make the interface understood easily. We hope the applications and innovations can make it more convenient for people to order meals. And the business of restaurant can be developed successfully.
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Amazing Fairy Chess -討論多元方形鏈的數量
在這篇研究報告中,我們討論的是一種方形集合圖形的數量。”多元方形鏈”約略在 60 年代被提出,衍生出一系列的問題和遊戲,例如熟知的電玩軟體 『 俄羅斯方塊 』 ,或是 『 益智積木 』 的遊戲,都是多元方形鏈的應用。在這些問題當中,最令人頭痛的難題就是 n 元方形鏈的圖形總數。為了解決這道難題,我們採用一種轉換方法將圖形轉換成序組,並且給出序組的性質,再據此寫成 C 語言的程式;反覆地修改程式以增進執行效率及速度,最後利用該程式成功地統計出圖形總數。 In this report, we discussed the amount of polyominoes, the graphs of a set of squares. “Polyominoes” has been brought up in 1960s, and later developed into a series of questions and games, such as a well-known video game — Tetrix, and the game of puzzle blocks. Both are the applications of polyominoes. Among those questions, the toughest one is the amount of n-polyominoes. To solve this problem, we used a method which transforms the graphs into sequences. By looking into the properties of those sequences, we obtain a set of rules that can be used to determine the quantity of n-polyomines. The rules are implemented into computer codes in C language with proper modifications made to speed up the efficiency of our algorithm. The computational results show that the amount has been successfully calculated.
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