Top Mathematics discussions
NishMath - #mathhistory
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@exercism.org
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References:
jcarroll.com.au
Modulo arithmetic is being explored as a technique for rotation, inspired by a post from Greg Egan on Mastodon. Jonathan Carroll implemented Egan's formula in various languages. The formula, rot(n, j, k) = (n * 10^k) mod (10^j-1), efficiently rotates a j-digit number n by k digits. Carroll highlighted the importance of understanding fundamental operators across different languages while implementing this seemingly simple mathematical concept.
This exploration is beneficial for fortifying knowledge of basic functionalities in different programming languages. As Carroll wrote in his blog, implementing this simple math "means I’ll be working with some basic functionality and I believe it’s very important to have that locked in comfortably." Carroll demonstrated the implementation in R, utilizing the power operator '^' and the modulo operator '%%'. He also showed how to determine the number of digits in a number using the 'nchar()' function, showcasing practical application of these operators. The R implementation allows for the cyclic rotation of digits within a number. While R doesn't have a built-in function for this specific purpose, Carroll demonstrated the usage of his '{vec}' package for a similar ring-buffer effect on vectors. This involved using modulo on the indices to achieve the desired rotation. The formula subtracts (10^j-1) times the leftmost k digits of n*10^k, removing them from the left and adding them to the right. Recommended read:
References :
@www.newtonproject.sussex.ac.uk
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Recent blog posts are delving into a variety of mathematical topics, offering insights and explorations across different areas of the field. These posts cover historical aspects of mathematics, examine specific mathematical concepts, and explore the connections between mathematics and other disciplines. This collection of diverse content aims to provide readers with a broader understanding and appreciation of mathematics.
The blog posts include diverse mathematical items. For example, one post references Gemma Frisius' "Arithmeticae Practicae Methodus Facilis" (1540) and its entry in *MAA Mathematical Treasures. Another commemorates April 13 as "On This Day in Math," highlighting mathematical facts associated with the number 103. This includes its unique properties as a prime number and its presence in Ramanujan's mathematical explorations. Furthermore, the blog explores historical events like the coining of the word "microscope" in 1620 and Lord Brouncker's published mathematical result in 1668. From statistical physics to number theory, these blogs showcase the versatility and interdisciplinary nature of mathematical thought. One blog even mentions using statistical physics concepts to analyze election results. These blog postings aim to engage readers with a range of mathematical subjects, from historical figures and publications to contemporary applications and connections. Recommended read:
References :
@primes.utm.edu
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References:
Pat'sBlog
, mathdaypballew.blogspot.com
This week saw a flurry of mathematical activity, highlighted by the 238th Carnival of Mathematics, organized by Aperiodical. The carnival showcases a variety of submissions and mathematical art, focusing on the number 238 itself. Noteworthy facts about 238 include that it is 2 × 7 × 17, the sum of the first 13 primes, and a "triprime". The carnival also encourages exploration beyond pure mathematics, with community members contributing insights linking the number to uranium isotopes, birth minutes, and even hexadecimal representations. It also shines a light on #MathArtMarch, with examples of crochet, coding, and painting from around the world.
Continuing the daily exploration of numbers, several interesting facts and events were highlighted for April 6th, 7th, 8th and 10th. The number 96, the 96th day of the year, was examined for its unique properties, such as being the smallest number expressible as the difference of two squares in four different ways. Events like Euler's first paper on partitions (April 7th, 1741) and Al-Biruni's observation of a solar eclipse in 1019 were also noted, linking mathematical concepts to historical contexts. Also, the number 97 has been noted as the 97th day of the year, where 97 is the largest prime that we can ever find that is less than the sum of square of its digits. In recreational mathematics, a "Salute" game for reinforcing multiplication and division was featured, emphasizing the inverse relationship between these operations. Additionally, the concept of "truncatable primes" was explored through a game where players create strings of prime numbers by adding digits to either end of a number. The number 91 was discussed as the 91st day of the year where 10 n + 91 and 10 n + 93 are twin primes for n = 1, 2, 3 and 4. Finally, highlighting mathematics beyond academia, James Abram Garfield, a former Congressman and mathematician, was mentioned for his original proof of the Pythagorean Theorem, illustrating the interdisciplinary nature of mathematics. Recommended read:
References :
Unknown (noreply@blogger.com)@Pat'sBlog
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References:
Pat'sBlog
Recent discussions have highlighted the diverse applications and historical roots of mathematics. A blog post explored the history of mathematical terms such as billion, trillion, and others, tracing their origins back to figures like Nicholas Chuquet, a French physician from the 15th century. The evolution of these terms and their varying definitions across different countries demonstrate the rich history and changing conventions within mathematical nomenclature. This information has recently resurfaced in a post from earlier this year.
Alongside the history of math, practical math applications are being discussed. For example, recent word problems are now available that focuses on division suitable for fourth-grade students. The step-by-step solutions for problems involving dividing quantities among groups can help students improve their comprehension of division and problem solving. Mathematics continues to be the basis for many algorithms in a variety of modern technological applications and is not widely recognized as a science. Recommended read:
References :
@medium.com
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References:
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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Blogs
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