Analyzing the Brachistochrone Problem for the Conic Sections and its real life applications Analyzing the Brachistochrone Problem for the Conic Sections and its real lfie applications Aarush Patel August 2024 Abstract This paper explores the brachistochrone problem for several curves. Throughout the paper, we find the time taken by an object of any mass to travel from the initial position ( 1 , 0 ) ( 1
Fourier Transforms Featured The Fourier Transform: Bridging Theory and Applications in Signal Processing, Music Synthesis, and Climate Analytics The author Arhaan Goyal is a student of Jayshree Periwal International School, Class of 2025, and can be reached at arhaangoyal[at]gmail.com. This paper below explores the fundamental concepts and applications of the Fourier Transform, a convolution tool in mathematics, physics, and engineering. By establishing the connection between
An Incredibly Short Tale About Human Imagination By Dr Mridu Prabal Goswami (Indian Statistical Institute, North-East Centre, Tezpur) Author's Note: The views expressed in this piece are personal. The author is extremely thankful to Mousumi Kalita Sachdeva and Abinash Panda. Author's Preface: This piece is only a snapshot of the evolution and the articulation of human imagination
Featured We are changing! Gonit Sora (GS) started over 12 years ago (in 2011) when we (then very naive university students) got together to create a web-magazine publishing in English and Assamese catered to the student community in Assam. We did not dream big, but GS churned on its own and gradually it came
Ayurveda Interview with Dr. Cyriac Abby Philips on Evidence Based Medicine Gonit Sora recently did a live interview with Dr. Cyriac Abby Philips where we discussed evidence based medicine, his work on liver toxicity due to herbal products, scientific literacy and much more. Dr. Philips is currently working in the Clinical and Translational Hepatology & Monarch Liver Laboratory, The Liver Institute, Center
Machine Learning Introduction to Machine Learning Machine Learning is the buzzword of the moment in computer science and technology and undeniably one of the most powerful technologies today. Machine learning is an integral part of many applications we use every day such as Google search, Google maps, Netflix recommendations, spam email detection, virtual assistants like Alexa
Climate Change 2021 Nobel Prize in Physics The Nobel Prize in Physics 2021 was awarded “for groundbreaking contributions to our understanding of complex systems” with one half jointly to Syukuro Manabe and Klaus Hasselmann “for the physical modeling of the Earth’s climate, quantifying variability and reliably predicting global warming” and the other half to Giorgio Parisi
Ardem Patapoutian Nobel Prize in Medicine 2021 The Nobel Assembly at the Karolinska Institute has decided to award the 2021 Nobel Prize in Physiology or Medicine to David Julius and Ardem Patapoutian “for their discoveries of receptors for temperature and touch”. David Julius is professor and chair of the department of physiology at the School of Medicine
algebra Emmy Noether faced sexism and Nazism – 100 years later her contributions to ring theory still influence modern math Tamar Lichter Blanks, Rutgers University When Albert Einstein wrote an obituary for Emmy Noether in 1935, he described her as a “creative mathematical genius” who – despite “unselfish, significant work over a period of many years” – did not get the recognition she deserved. Noether made groundbreaking contributions to mathematics at a
Fernando R. Villegas Mathematics of the Football Prof. Fernando Rodriguez Villegas (ICTP, Trieste) gave a talk on 8th May, 2021 on “Mathematics of the Football”. The full video of the talk is available in our YouTube channel as well as below. A list of all past and future webinars are available at this link. To register for
Ken Ono What is the Riemann Hypothesis, and why does it matter? Prof. Ken Ono (University of Virginia, USA) gave a talk on 21st April, 2021 on “What is the Riemann Hypothesis, and why does it matter?”. The full video of the talk is available in our YouTube channel as well as below. A list of all past and future webinars are
ACM Turing Award ACM Turing Award 2020 Alfred Vaino Aho and Jeffrey David Ullman were declared the recipients of the 2020 ACM A.M. Turing Award “for fundamental algorithms and theory underlying programming language implementation and for synthesizing these results and those of others in their highly influential books, which educated generations of computer scientists.” Alfred V.
2021 Abel Prize Laszlo Lovasz and Avi Wigderson share the 2021 Abel Prize Last time the phrase “theoretical computer science” found mention in an Abel Prize citation was in 2012 when the legendary Hungarian mathematician, Endre Szemerédi was awarded mathematics’ highest honour. During the ceremony, László Lovász and Avi Wigderson were there to offer a primer into the majestic contributions of the laureate.
FRS Ramanujan Graphs and the Matrix Completion Problem Prof. Mathukumalli Vidyasagar FRS, SERB National Science Chair and Distinguished Professor of the Indian Institute of Technology Hyderabad gave a talk on 20th March, 2021 on “Ramanujan Graphs and the Matrix Completion Problem.” The slides of the talk can be found here. The full video of the talk is available
Geometry An Introduction to Minimal Surfaces Prof. Rukmini Dey of the International Centre for Theoretical Sciences (ICTS), Bengaluru gave a talk on 13th March, 2021 on “An Introduction to Minimal Surfaces.” The slides of the talk can be found here. All images were taken from the internet which were publicly available. A list of all past
Emmy Noether A tribute to Emmy Noether on the International Day of Women and Girls in Science On the International Day of Women and Girls in Science, this is the inspirational story of Emmy Noether who single handedly shaped the future of mathematics and physics in the early half of the 20th century in the face of insurmountable barricades constructed by antediluvian attitudes towards women in science.
Analytic Number Theory Some results named after Godfrey Harold Hardy 1. Hardy-Littlewood conjecture for twin primes Let denote the number of primes such that is also prime. Define the twin prime constant as then, . 2. Hardy-Littlewood circle method In mathematics, the Hardy-Littlewood circle method is a technique of analytic number theory. It is named after G. H. Hardy and J.
Kosmos Pythagorean Philosophy “Music is the pleasure the human mind experiences from counting without being aware that it is counting.” Gottfried Leibniz The interaction between mathematics, physics, and music is in a way obvious as matter is a wave structure of the space. The Pythagoreans were one of the first philosophers who tried
Algorithms All you need to know about Algorithm Complexity Evaluation Computers are highly complex, complicated machines capable of storing, processing, and analyzing vast quantities of data far faster than any single human ever could. While the human brain and nervous system are very impressive in their own right, they simply can’t match up with the speeds and ruthless efficiency
History of Math Trigonometry in Ancient India Prof. S. G. Dani (UM-DAE CBS) gave a talk on the occasion of National Mathematics Day (India) 2020. The full video of the talk is available in our YouTube channel as well as below. A list of all past and future webinars are available at this link. To register for
1729 On Ramanujan’s 133rd Birth Anniversary: Famous constants related to Srinivasa Ramanujan 1. Almost Integer (Ramanujan’s Constant) Ramanujan’s constant is the transcendental number , which is an almost integer, in that it is very close to an integer: This number was discovered in 1859 by the mathematician Charles Hermite. In a 1975 April Fools Day article in the Scientific American magazine,
Daniel Bernoulli A Probability Paradox Imagine a casino with an entry fee of INR X. Inside there is only one game. The dealer tosses a coin until it lands on a tails. He gives you INR if it takes tosses for the first tails to appear. So if on the first toss the coin the
Area of circle On length of curves and area of figures Prof. Rajeeva L. Karandikar of the Chennai Mathematical Institute gave a talk on 06th December, 2020 on “Length of curves and area of figures“. The full video of the talk is available in our YouTube channel as well as below. A list of all past and future webinars are available
Borsuk Ulam Theorem Combinatorial applications of some topological theorems Prof. Ravindra B. Bapat of the Indian Statistical Institute, New Delhi gave a talk on 28th November, 2020 about “Combinatorial applications of some topological theorems“. The full video of the talk is available in our YouTube channel as well as below. A list of all past and future webinars are
CAT(0) Geometry The geometry of a robotic arm in a tunnel Dr. Cesar Ceballos of the Technical University of Graz, Austria gave a talk on 20th November, 2020 about “The geometry of a robotic arm in a tunnel“. The full video of the talk is available in our YouTube channel as well as below. A list of all past and future
