Mathematical Sciences
Objectives The objective of this study is to determine the gin rummy playing strategy with the highest likelihood of winning. Methods Computer, Python coding language. Coded a 2-player gin r…
Mathematical Sciences
Objectives The Tower of Hanoi is a problem where in a system of m pegs, n rings are on the first peg, arranged from smallest on the top to largest on the bottom. One ring can be moved at a t…
Mathematics
Traditionally introduced in terms of advanced topological constructions, many link invariants may also be defined in much simpler terms given their values on a few initial links and a recurs…
Mathematics
Purpose: The problem of finding the shortest path between the two given points is a classical problem in geometry. These paths are called geodesic lines. The existence of non-self-intersecti…
Mathematics
A wonderful fact called Thurston's geometrization conjecture states that there are essentially only eight three-dimensional geometries. One of them is Nil geometry, which is a Lie group call…
Mathematics
There is the theory of doodles and twins in combinatorial topology, which is similar to link and braid theory. A doodle on a surface is a union of several closed curves that are intersecting…
Mathematical Sciences
Objectives The objective of this project is to design, implement, test, and analyze simple algorithms to find the one that can achieve the highest tiles in the Google Chrome Extension of the…
Mathematics
Traditional economic theory relies on assumptions of homogeneous agents reaching equilibrium under ideal conditions; there has been a push away from classical economics toward more real worl…
Mathematical Sciences
Objectives The objective of my project is to compare several different strategies used in the game Iterated Prisoner s Dilemma. I investigate how each strategy performs against all other ava…
Mathematics
In this study, we consider a discrete dynamic system starting with n arbitrary points on a circle. In one transition, each point moves simultaneously from its current state counterclockwise…
Mathematics
Fourth Award
Given a Vector Bundle (Coherent Sheaf) with Integrable Connection on a variety in positive characteristic, its p-curvature measures the amount of horizontal sections of the bundle and its va…
Mathematical Sciences
Honorable_mention Award
Objectives Liver cancer is the second deadliest cancer in the world. Due to the multitude of lesions found within the liver, locating a specific lesion and determining its malignancy is a ch…
Mathematics
*Introduction Mersenne Primes:- A number of the form 2^n – 1 where n is a natural number is a Mersenne number. If its value is prime then it is known as a Mersenne Prime. Mersenne primes are…
Mathematics
Cooperative games are systems in which entities, players, can join to form subsets, known as coalitions. While players contribute varying amounts, known as marginal impacts, to different coa…
Mathematics
There’s no doubt that in recent years the connection between different subjects is really cruical. For this exact reason I intend to proof mathematical theories with the help of syllogisms.…
Mathematical Sciences
Objectives Reinforcement learning (RL) is an emerging field with numerous applications in a wide variety of domains, such as robotics, supply chain and network optimization, marketing, and m…
Mathematical Sciences
Third Award
Objectives In this study, an example of how automated agents can potentially swing a cryptocurrency trading environment is presented. Using a group of simulated markets, reinforcement learni…
Mathematical Sciences
Objectives Artificial intelligence is the wave of our future. We wanted to undertake a science project involving AI with real life applicability. Our goal was to program a robot that could d…
Mathematics
In low-dimensional topology, one of the most beautiful and complex topics is braid theory. There are deep connections between braids, knots, mappings on surfaces, and even algebraic geometry…
Mathematics
Third Award
Dimensionality reduction techniques are becoming widely used in academia, business, and machine learning to reduce the time required to process a higher dimensional dataset. In this context,…
Mathematics
Third Award
Given S, a set of n points contained in the unit square Q = [0, 1]^2, let f(S) denote the area of the largest axes-parallel rectangle that does not contain any of the points of S in its inte…
Mathematics
In this paper, we present the best possible parameters \alpha_i, \beta_i\ (i=1,2,3) and \alpha_4,\beta_4\in(1/2,1) such that the double inequalities \begin{align*} \alpha_1Q(a,b)+(1-\alpha_1…
Mathematics
Low-rank matrix completion has attracted significant attention because this technique can be applied to solve many inference problems. Recently, Tang et al. (2018) proposed a quantum-inspire…
Mathematics
Fourth Award
The Planetary Transfer Calculator (PTC) is a tool to calculate and visualise transfers between planets, moons, and stars. The coding system uses a complex combination of mathematical algorit…
Mathematics
Stock price change in the short term is highly unpredictable and often does not relate to underlying economic or company performance. Stock technical analysis indicators are commonly used to…
Mathematics
Inadequate hospitalization projections increase the cost of health care and reflect the ineffectiveness of the healthcare services in the primary care setting (Mkanta, 2016). Studies have co…
Mathematics
In modern cryptosystems, even if the adversaries can access the communication medium and initially have the same knowledge as the communicators, sent messages are still safe, since they are…
Mathematical Sciences
Objectives To fully discover the relationship between the Pythagorean triples and the Quadratic equation. Methods The use of Pythagorean triples a long with the application of the Quadratic…
Mathematics
Purpose: There is always a pressing need for secure cryptography. Most problems used in cryptography act on finite abelian groups, which are groups with finite elements with all pairs of ele…
Mathematical Sciences
Objectives The objective is to create software to identify malignant moles by evaluating size, shape, and variation in color. This software attempts to compensate for changes in distance and…