Top Mathematics discussions
NishMath - #understanding
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@medium.com
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Mathematics is a diverse field with applications spanning multiple disciplines. Recent articles and discussions have highlighted the importance of mathematics in various areas, including Artificial Intelligence (AI), data science, and quantum physics. Linear algebra, calculus, and probability are identified as essential mathematical topics for mastering AI and machine learning, while mathematical tools are enhancing learning in these complex fields.
The exploration of mathematics extends beyond its application in technology, encompassing historical perspectives, number theory, and geometric puzzles. Pi, a fundamental mathematical constant, continues to fascinate mathematicians and enthusiasts, with its presence felt across science, engineering, art, and culture. Discussions also cover the etymology of mathematical terms like logarithms, and the use of math journals and games in education. Recommended read:
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Siôn Geschwindt@The Next Web
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The ESA's Euclid mission has released its first data, offering a glimpse into the deep fields of space and marking a significant step in the study of dark matter and dark energy. The data covers 63 square degrees of the sky and includes a classification survey of over 380,000 galaxies and 500 gravitational lens candidates. The Euclid space observatory, dubbed the "dark matter hunter", aims to create the largest 3D map of the sky ever created.
This initial data release includes numerous galaxy clusters, active galactic nuclei, and transient phenomena. The mission's unique observational capabilities are expected to contribute to a better determination of the expansion rate of the Universe through gravitational-wave observations. Researchers plan to correlate events from LIGO, Virgo, and KAGRA with Euclid galaxy catalogues. Euclid's discovery of numerous gravitational lens systems could also be crucial for detecting the first gravitational waves split into multiple images by gravitational lenses, according to Miguel Zumalacárregui, group leader in the Astrophysical and Cosmological Relativity department. Recommended read:
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@Thony Christie
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Pat'sBlog
Several blogs and articles delve into the historical development and conceptual understanding of mathematics. One area of focus includes the cosmic distance ladder, a method for measuring distances to astronomical objects. This is explored in a blog post discussing a video featuring commentary and corrections to the topic, referencing a collaboration between Grant Sanderson and others. This content clarifies inaccuracies and omissions present in the video, offering valuable insights for viewers.
Mathematical history is further enriched by discussions on geometric vanishes, the history of the factorial function, and mathematical induction. Geometric vanishes, often presented as puzzles, date back to the 16th century. One blog explores their history, referencing examples from the Renaissance era. A blog post and external links also explore the evolution of factorial notation and the concept of mathematical induction, explaining how it works like dominoes, cascading through a series of logical steps to prove mathematical statements. Recommended read:
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Alyssa Hughes (2ADAPTIVE LLC dba 2A Consulting)@Microsoft Research
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mappingignorance.org
, www.artificialintelligence-new
Artificial intelligence is making significant strides across various fields, demonstrating its potential to address complex, real-world challenges. Principal Researcher Akshay Nambi is focused on building reliable and robust AI systems to benefit large populations. His work includes AI-powered tools to enhance road safety, agriculture, and energy infrastructure, alongside efforts to improve education through digital assistants that aid teachers in creating effective lesson plans. These advancements aim to translate AI's capabilities into tangible, positive impacts.
A new development in AI has also revealed previously hidden aspects of cellular organization. A deep-learning model can now predict how proteins sort themselves inside the cell, uncovering a layer of molecular code that shapes biological processes. This discovery has implications for our understanding of life's complexity and presents a powerful biotechnology tool for drug design and discovery, offering new avenues for addressing medical challenges. Recommended read:
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Blogs
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