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Human Influence on Predator-Prey Relationship: Red Panda and Snow Leopard

This research is a mathematical model based upon the human influence on the predator-prey relationship between Red Panda and Snow Leopard, which are the major species in the mountain ecosystem. This research explores if these species get extinct in a certain area due to imbalance in their interaction. Firstly, simple model of the species is discussed with no interaction between the species. Interactive model is then introduced to simulate their population when they interact with each other. The human influence is then introduced to the interactive model to observe if the species get extinct. This research is a mathematical model based upon the human influence on the predator-prey relationship between Red Panda and Snow Leopard, which are the major species in the mountain ecosystem. This research explores if these species get extinct in a certain area due to imbalance in their interaction. Firstly, simple model of the species is discussed with no interaction between the species. Interactive model is then introduced to simulate their population when they interact with each other. The human influence is then introduced to the interactive model to observe if the species get extinct. All the models are simulated in python programs using Euler's method. The data in this research are approximated for a certain area based upon the population density and habitat of the two species. All the models are simulated in python programs using Euler's method.

Jagat Kafle

On the Density Theorem of Čebotarev

In this paper, we do exactly what the title implies: prove the Čebotarev Density Theorem. This is an extremely valuable theorem because it is a vast generalization of Dirichlet's Theorem on primes in an arithmetic progression. Our theorem goes even further to the case of other number fields; we will show that the prime ideals in an imaginary quadratic field K are virtually equidistributed among the conjugacy classes of Artin symbols in the Galois group of a Galois extension L over K. Note that L need not be abelian over K!

Shaunak Bhandarkar

前瞻資訊科技作業

前瞻資訊科技二Lung-Pan's Reading assignment: The Ultimate Display
upload date:6/6/2019

資工二高為勳_B06902116

CNAQANet

The Contextual and Numerically Augmented QANet (CNAQANet) is a QA model that builds on NAQANet in order to improve performance on arithmetic reasoning in question and answering tasks. CNAQANet is specifically trained and tested on the DROP dataset.

Ravi Patel, Tyler Ohlsen, Blarry Wang