Equity Group Blogs

Welcome to the Equity Group Journal, a growing student-led academic journal, where our passionate writers share the knowledge they have picked up in their journey in this rapidly evolving world of Science, Tech , Engineering, and Maths. Our mission is to continuously release peer-reviewed articles and research papers to the scientific, community and general public- showing our student-focused perspective on the news that shapes the future of STEM and our world.

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Applied Mathematics

An introduction to the Laplace Transform

From market models to heat diffusion diagrams, people have long used differential equations to create realistic models of the world around them. However, as scenarios grew increasingly complex, more powerful ways to solve problems were needed. Enter the Laplace transform.

George Radulescu

2024-10-22

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Applied Mathematics

NOETHER’S THEOREM AND SYMMETRIES

π™„π™£π™¨π™©π™žπ™©π™ͺπ™©π™š - π™ƒπ™šπ™£π™§π™žπ™šπ™©π™©π™– π˜½π™–π™§π™£π™šπ™©π™© π™Žπ™˜π™π™€π™€π™‘ Noether's theorem is a remarkable result that allows mathematicians and physicists to derive conserved quantities from the symmetries of natural laws. For example, time translation symmetry leads to the conservation of energy, space translation symmetry results in the conservation of momentum, and rotational symmetry yields the conservation of angular momentum, among others.

Manasvi Kommuri

2024-10-17

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Mechanical and Aerospace Engineering

THE IMPLEMENTATION OF IN-SITU RESOURCE UTILIZATION

π™„π™£π™¨π™©π™žπ™©π™ͺπ™©π™š - π™ƒπ™šπ™£π™§π™žπ™šπ™©π™©π™– π˜½π™–π™§π™£π™šπ™©π™© π™Žπ™˜π™π™€π™€π™‘ In-situ resource utilization is the harnessing of local natural resources at mission destinations. It is considered more efficient than taking all needed supplies from Earth, thus enhancing the capabilities of human exploration. This concept is already being implemented into future missions and this article aims to critically analyze the advantages of In-Situ Resource Utilization in space-based missions.

Manasvi Kommuri

2024-09-10

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