糖果傳遞問題之研究與推廣
n個人圍成一圈，面向圓心，且逆時針編號1,2,……,n。一開始每人手中有一個糖果，由1號開始，逆時針分別給右邊的人一個、兩個、一個、兩個……糖果，手上沒有糖果的人必須退出。我們將此傳遞規則定義為T_1,2，同理T_(1,2⋯,p)。這個傳遞遊戲，最終會有兩種情形，第一種是由一人獨得所有糖果(成功狀態)，第二種是數人間傳遞糖果且形成循環(循環狀態)。 研究後得知，在傳遞規則T_(1,2⋯,p) (p≥2)下，若p=〖p_1〗^(α_1 ) 〖p_2〗^(α_2 )⋯〖p_i〗^(α_i )⋯〖p_j〗^(α_j ) ( 為p的相異質因數)，任意的n值(n≥p+1)均可唯一表示成n=(p)^t×(〖p_1〗^(s_1 ) 〖p_2〗^(s_2 )⋯〖p_i〗^(s_i )⋅m)+q (t,m∈N, p ∤〖p_1〗^(s_1 ) 〖p_2〗^(s_2 )⋯〖p_i〗^(s_i ), (m,p)=1, q=1,2,⋯,p)，令S=(p^t (p-q)+(pq-1))/(p-1)+R⋅p^t，則當m=1時，最終為成功狀態，且獨得糖果者的初始編號為S；當m≥2時，最終為循環狀態，且由m人循環傳遞糖果，而此m人的初始編號是S, S+p^t 〖p_1〗^(s_1 ) 〖p_2〗^(s_2 )⋯〖p_i〗^(s_i ), ⋯⋯ , S+(m-1)⋅p^t 〖p_1〗^(s_1 ) 〖p_2〗^(s_2 )⋯〖p_i〗^(s_i )。上述公式中的R值，可透過我們研究出來的「R值迭代法」求得。更進一步，我們也找出達到成功狀態或循環狀態的最小傳遞數。
The Reproduction success of the Cyprinidae and a Claridae fish species and its impact on small- scale fisheries
To investigate the reproduction success and natural recruitment of several Cyprinidae fish and Claridae fish species in the Allemanskraal Dam. The purpose of the project included investigating whether each individual fish species studied has a successful 2020/2021 spawning season in comparison with each other. Sections of the seine net were measured along with a distance of 10 along the shoreline. The ends of the seine nets were attached to one foot and the top of the net was held by hand. Both volunteers moved in unison while covering the 10m. The volunteer in the “deep end” moved towards the shoreline creating a semi-circle while the other volunteer remained stationary. The two ends of the net were then pulled onto the shore and the fish were collected. The results found that the Labeo Umbratus and Cyprinus carpio had the most successful spawning seasons with the highest recorded numbers. These high numbers of the Labeo Umbratus can be due to the fact that the species lays a large number of eggs. The high numbers of the Cyprinus carpio is due to the lower numbers of the other fish species as previous studies have shown that the species negatively impacts the environment which could in turn negatively impact the other fish species. The Claridae gariepinus and Labeobarbus aeneusas were the lowest. The low numbers of the Labeobarbus aneusas may be due to their slow growth and late maturity rate. The Labeo capensis had an average number relative to the other species and this is due to the fact that during the sampling period the dam was at 100% capacity as this is essential for the survival of the juvenile fish. The hypothesis was accepted as the Labeo Umbratus, Cyprinus carpio and Labeo capensis all have a successful spawning season. However, due to the size of the Cyprinus carpio, they would be most suited for a small scale fishery.
Introduction of Omed-Omedan Tradition Through Augmented Reality-Based Card Games To Increase The Love of Local Culture
This research is motivated by the differences in the people's perceptions, mainly youth about the omed-omedan tradition. The difference is that many people think that the omed-omedan tradition violates the norms of decency and is also called the pornography tradition. The purpose of this study is to, 1) describe the mechanism of applying omed-omedan tradition recognition attitudes through augmented reality-based card games, 2) analyz the impact resulting from the application of omed-omedan tradition recognition attitudes through augmented reality-based card games, and 3) analyze about the feasibility of application resulting from the application of omed-omedan tradition recognition attitudes through augmented reality-based card games. This research is a type of R&D research conducted at Bali Mandara State High School from July 1-September 6, 2021. The subjects of this study were the teenagers of Kaja Sesetan Indigenous Village and the object of this study was the omed-omedan tradition through augmented reality-based card games. The data collection method used is the literature studies, questionnaires, interviews, and validation questionnaires. Data is processed based on qualitative descriptive approach and quantitative descriptive approach. The results showed that the mechanism of implementing the omed-omedan tradition originated from the download of assistive devices, namely android studios and applications from AR, the impact of augmented reality-based card games was seen as very helpful in the introduction of the omed-omedan tradition and was seen as able to help increase the love of local culture, besides that the media used was also very popular by players because it was seen as interesting and very helpful. Based on the feasibility tests that have been calculated, this game is considered very feasible to implement and researchers hope that the innovations that have been created can effectively provide understanding to help out the local community about omed-omedan tradition.