Top Mathematics discussions
NishMath - #knowledge
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Karina Cuevas@PBS NewsHour - The Latest
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NASA Science
, PBS NewsHour - The Latest
NASA's partnership with the private sector achieved a major milestone with the successful lunar landing of Firefly Aerospace's Blue Ghost lander. The spacecraft touched down safely early Sunday, marking the first commercial spacecraft to achieve this feat after previous attempts by others resulted in crashes or tip-overs. Blue Ghost is carrying several experiments for NASA as part of a broader initiative to utilize private companies for lunar deliveries in support of the Artemis program. This mission is designed to scout the lunar surface, evaluate the radiation environment, and develop solutions for navigating the challenging lunar dust.
NASA's Hubble Space Telescope also achieved a significant accomplishment, completing the largest galactic mosaic of all-time, imaging the full extent of the Andromeda galaxy. This mosaic consists of over 600 overlapping snapshots, creating a 2.5+ billion pixel image filled with a wealth of astronomical data. Furthermore, NASA's Spectro-Photometer for the History of the Universe, Epoch of Reionization and Ices Explorer (SPHEREx) is scheduled to launch this week. SPHEREx will map the entire sky four times over two years to uncover insights into the infant universe, the formation of early galaxies, and the location of building blocks of life in the Milky Way. Recommended read:
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Terence Tao@What's new
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beuke.org
, What's new
Terence Tao has recently uploaded a paper to the arXiv titled "Decomposing a factorial into large factors." The paper explores a mathematical quantity, denoted as t(N), which represents the largest value such that N! can be factorized into t(N) factors, with each factor being at least N. This concept, initially introduced by Erdös, delves into how equitably a factorial can be split into its constituent factors.
Erdös initially conjectured that an upper bound on t(N) was asymptotically sharp, implying that factorials could be split into factors of nearly uniform size for large N. However, a purported proof by Erdös, Selfridge, and Straus was lost, leading to the assertion becoming a conjecture. The paper establishes bounds on t(N), recovering a previously lost result. Further conjectures were made by Guy and Selfridge, exploring whether relationships held true for all values of N. On March 30th, mathematical enthusiasts celebrated facts related to the number 89. Eighty-nine is a Fibonacci prime, and patterns emerge when finding it's reciprocal. Also, the number 89 can be obtained by a summation of the first 5 integers to the power of the first 5 Fibonacci numbers. 89 is also related to Armstrong numbers, which are numbers that are the sum of their digits raised to the number of digits in the number. Recommended read:
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Tom Bridges@blogs.surrey.ac.uk
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blogs.surrey.ac.uk
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The London Mathematical Society has awarded Polina Vytnova a Research in Pairs grant, dated February 14th. The grant will enable Vytnova to host Victor Kleptsyn, a CNRS Researcher from the University of Rennes, at the University of Surrey. Together, they will collaborate on a joint research project focusing on the "Arithmetic of Cantor sets."
Also, Terry Tao has announced a collaboration with Grant Sanderson of 3blue1brown, along with Tanya Klowden, to produce a two-part video about the history of the cosmic distance ladder. This project builds upon a previous public lecture by Tao and is related to their forthcoming book. The first part of the video is already available, with Sanderson currently editing the second part. Recommended read:
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@medium.com
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Pat'sBlog
, medium.com
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March 14th marks the annual celebration of Pi Day, honoring the mathematical constant π (pi), which represents the ratio of a circle’s circumference to its diameter. Pi, an irrational number approximately equal to 3.14159, holds significance across various scientific disciplines, including geometry, physics, engineering, and even music theory. Its infinite, non-repeating decimal expansion symbolizes infinity and mystery, captivating mathematicians and enthusiasts alike.
Pi Day 2025 presents an opportunity to engage students with interactive activities like Ratio Riddles, PiCraft, and Math Progress. Ratio Riddles, a lesson from Minecraft Education, introduces concepts of ratio, proportion, fractions, and scale through engaging games. PiCraft offers a student workbook blending gaming and learning, allowing students to estimate and calculate the area of a circle within the Minecraft universe, applying mathematical concepts through coding with Microsoft MakeCode. These hands-on experiences aim to make math more meaningful and strengthen students' confidence in the subject. Recommended read:
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John@John D. Cook
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The Mathematician Coder
, blogs.surrey.ac.uk
Recent mathematical discussions and events showcase the field's dynamism. The European Universities Cup (EUC) mathematics competition will be held in 2025. This event brings together top teams from European regionals, providing them with a qualification path to the ICPC World Finals and an opportunity to participate in a significant onsite competition.
Also of note is a seminar given by Cesare Tronci at the University of Sussex on March 3, 2025. The seminar, part of the Theoretical and Mathematical Physics Seminar, was titled "Koopman trajectories in nonadiabatic quantum-classical dynamics." In addition, a blog post discussed how changing our perspective on mathematics has expanded its possibilities, particularly with imaginary numbers and Cantor's work on set theory and infinity. Recommended read:
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