攜手共解圓-扭結理論之探討
此篇研究發現在任何一個結中，都可以利用「牽手順序」和「交錯點編碼」兩種結的資訊直接看出一結化簡後的圖形。利用從「Reidemeister moves」所衍伸出的四種化簡方法{α, β, γ, δ}能更有效率的簡化結，並證明只需{α, β, γ, δ}就可化簡任何結，也利用{α, β, γ, δ}來驗證HOMFLY多項式是結不變量。由圖形及結的資訊我們發現，可使用「牽手順序」和「交錯點編碼」，搭配所討論出{α, β, γ, δ}的通式，依照步驟及通式簡化任何結。 本篇最重要的成果為：只需利用{α, β, γ, δ}即可化簡所有的結，而且比Reidemeister moves更有效率，因此可用{α, β, γ, δ}取代Reidemeister moves。 不管是一個封閉曲線或是兩個以上封閉曲線，都會遵守前述的規則，可利用{α, β, γ, δ}簡化圖形。文中也討論了較特別並具有規律的結──「星星結」，發現星星結只需使用「牽手順序」即可簡化，最後利用星星結的結論，發展出牽手遊戲中特殊的牽手遊戲情形。
Development of new manufacturing method to generate hydrogen energy by using waste silicon ~ Reuse of waste of the semiconductor industry for hydrogen community ~
Because of the presence of an activated multiple carbon-carbon bond, α,β-unsaturated sulfones are high-reactive compounds which are widely used in organic synthesis. These compounds readily undergo the reactions of nucleophilic addition and pericyclic processes. At the current moment, a wide range of 1,3-dipolar cycloaddition reactions with α,β-unsaturated sulfones as dipolarophilic systems is known. However the interaction of α,β-unsaturated sulfones with azinium ylides is less studied and limited to only a few examples. In the present study, the interaction between a number of stable isoquinolinium and pyridinium ylides with aliphatic and aromatic vinylsulfones has been investigated. We considered the regioselectivity of these reactions. Mostly cycloadditions of isoquinolinium ylides to α,β-unsaturated sulfones led to the mixtures of isomeric sulfonyltetrahydroindolizines in different ratios. Also we found several examples of high-regioselective addition. The stereochemical result of the cycloaddition was examined by methods of 2D correlational 1H-NOESY NMR spectroscopy and X-ray crystallographic analysis. The process of formation of major regioisomer of cycloaddition N-phenacylisoqunolinium ylide to ethylvinylsulfone was highly stereoselective. The series of new sulfonyltetrahydroindolizines with potential bioactivity were obtained. The structure of all products was proved by IR and 1H NMR
Biodegrable Roof
It became necessary to implement a project for the use of vegetable waste generated in the process of handling plantain cultivation, harvest and postharvest, since in Mexico at harvest large quantities of vegetable waste is produced, since only the fruit is used wasting the Pseudostem with leaves and spine. Based on this information, you can take advantage of banana fiber as raw materials in the manufacture of biodegradable sheets and support options that are feasible and possible to make alternative. This is an inexpensive process, also friendly with the environment, so that thousands of banana plants that bear fruit after they become sterile and are discarded without realizing their Pseudostem.
An optimal-route algorithm for an intermodal Metro Manila trip planners using multiple parameters
Parameters of traffic, road availability, and fare were integrated into a web-based application for determining the best public transport routes within Metro Manila in order to assist commuters in their travel planning, whether for business or for pleasure. A user-friendly interface was developed to obtain a user’s place of origin and destination, as well as preferences in travel time, mode of transportation, and cost of journey. By accessing the traffic roadway network of the metropolis, a real-time situation of road availability was obtained, and used in a modified Dijkstra’s shortest-path algorithm to produce a model of a real-time adaptive transport network of Metro Manila. From the model, an optimal route that considers the user’s preferences can be determined. This project will be immensely useful in helping both businessmen and tourists in planning their routes that will save on time and money.
IMPACT OF FIRE WOOD COLLECTION ON WEATHER AND CLIMATE OF JIRDIN VILLAGE
Climate is the average weather in a place over a long period. The changes in climate may be due to natural forces or from human activities. There is growing concern among the scientific community regarding climate change. Biodiversity, forest, monsoons, weather are now at risk due to climate change. Today climate change is happening at an increasing rapid rate. One of the causes is deforestation. Firewood collection in one of the major means the felling of trees. Excessive emission of CO2 by burning, which is a green house gas, responsible for increasing the temperature and causing drastic climate change. Hence, to know the impact of firewood collection in drastic climate change we have undertaken a project entitled, “Impact of firewood collection on weather and climate of Jirdin village.”
Automated Illustration of Text to Improve Semantic Comprehension
Millions of people worldwide suffer from aphasia, a disorder that severely inhibits language comprehension. Medical professionals suggest that individuals with aphasia have a noticeably greater understanding of pictures than of the written or spoken word. Accordingly, we design a text-to-image converter that augments lingual communication, overcoming the highly constrained input strings and predefined output templates of previous work. This project offers four primary contributions. First, we develop an image processing algorithm that finds a simple graphical representation for each noun in the input text by analyzing Hu mo-ments of contours in images from The Noun Project and Bing Images. Next, we construct a da-taset of 700 human-centric action verbs annotated with corresponding body positions. We train support vector machines to match verbs outside the dataset with appropriate body positions. Our system illustrates body positions and emotions with a generic human representation created using iOS’s Core Animation framework. Third, we design an algorithm that maps abstract nouns to concrete ones that can be illustrated easily. To accomplish this, we use spectral clustering to iden-tify 175 abstract noun classes and annotate these classes with representative concrete nouns. Fi-nally, our system parses two datasets of pre-segmented and pre-captioned real-world images (Im-ageClef and Microsoft COCO) to identify graphical patterns that accurately represent semantic relationships between the words in a sentence. Our tests on human subjects establish the system’s effectiveness in communicating text using im-ages. Beyond people with aphasia, our system can assist individuals with Alzheimer’s or Parkin-son’s, travelers located in foreign countries, and children learning how to read.