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Is there art in number?

SquareCirclez Mathematics, learning, computing, travel - and whatever...

  • A Rare Fibonacci Day
    by Casey Allen on August 12, 2021 at 10:33 pm

    Today is rather special. A day like today won't come around for almost another century. Today is rare and represents a “golden” opportunity for those in the know. Have you guessed it?? Well since you clicked on the title you already know the spoiler... Today, 8-13-21, combines three adjacent numbers in the Fibonacci Sequence. The The post A Rare Fibonacci Day first appeared on SquareCirclez.Related posts:Friday math movie - Nature by Numbers Here's a beautifully done video showing some of the math...Is Phi a Fibonacci furphy? Here's a debunking of some Phi and Fibonacci myths....Fibonacci is alive and well - in AUD:SGD In this article we see an example of Fibonacci ratios...Friday math Movie - Math Rock and Fibonacci There are 2 movies this week. The first explains what...

  • Best Middle School Back to School Math Supplies
    by Kathleen Cantor on August 10, 2021 at 4:19 am

    Your preteen probably has summer plans to sleep in, play video games, see friends, and maybe travel with family. It's the perfect time to relax and forget about the stress of school, homework, and math class, right? On the other hand, parents are practically giddy about sending their middle school students back to the classroom. The post Best Middle School Back to School Math Supplies first appeared on SquareCirclez.Related posts:Best High School Back-to-School Math Supplies Transitioning into high school is like entering the big leagues....Homeschool Math Supplies Have you decided to homeschool your high school student this...Math Supplies: Math Manipulatives Teaching math is not always easy to do, even if...Teachers on a Budget: Essential Classroom Math Supplies Finding the balance between student success and personal spending in...

  • Casio FX High Performance Calculator
    by Kathleen Cantor on August 10, 2021 at 3:56 am

    Check Lowest Price  Casio FX calculators are well known for their quality and high performance. But if you want a Casio calculator that really earns its keep, the FX-991EX is as advanced as it can get. Between stellar features and the ability to use it in most regional and nationwide exams, like the SATs, it's The post Casio FX High Performance Calculator first appeared on SquareCirclez.Related posts:The billionth Casio calculator Casio's billionth calculator has been delivered. Where to next?...How to Buy a Calculator A good calculator can be the difference between a great...TI-83 Plus: The Math Exam Calculator The TI-83 series has been around for over 20 years,...TI-NSpire: The Most Powerful Calculator The TI-NSpire by Texas Instruments is arguably the most powerful...

  • Best College Math Supplies
    by Kathleen Cantor on August 9, 2021 at 8:43 pm

    Despite common education myths, Math is one of the most interactive subjects. And many students actually have fun learning it—even at the college level. But when it's time to go to your first college stats class, you want to be prepared with all the tools and supplies you would need to make this semester a The post Best College Math Supplies first appeared on SquareCirclez.Related posts:Best Middle School Back to School Math Supplies Your preteen probably has summer plans to sleep in, play...Homeschool Math Supplies Have you decided to homeschool your high school student this...Best High School Back-to-School Math Supplies Transitioning into high school is like entering the big leagues....Teachers on a Budget: Essential Classroom Math Supplies Finding the balance between student success and personal spending in...

  • Teachers on a Budget: Essential Classroom Math Supplies
    by Kathleen Cantor on July 31, 2021 at 4:42 am

    Finding the balance between student success and personal spending in our classrooms is a challenge for many teachers. Often, classroom budgets are limited in their ability to provide even the basics. While you may want nothing more than to buy your students all of the resources they could possibly need to have the best learning The post Teachers on a Budget: Essential Classroom Math Supplies first appeared on SquareCirclez.Related posts:Homeschool Math Supplies Have you decided to homeschool your high school student this...Math Supplies: Math Manipulatives Teaching math is not always easy to do, even if...Best High School Back-to-School Math Supplies Transitioning into high school is like entering the big leagues....Best Middle School Back to School Math Supplies Your preteen probably has summer plans to sleep in, play...


Recent Questions - Mathematics Stack Exchange most recent 30 from math.stackexchange.com

  • Find an explicit homotopy equivalence for the three figures
    by Apocalypse on October 16, 2021 at 11:50 pm

    On Allen Hatcher's book we have three figures, and the graphs shown in bold lines are homotopy equivalent to each other since they are deformation retracts of the same space. But I want to know how to find a direct homotopy equivalent from one graph to another? For example, we can construct an obvious map $f$ from the first graph to the second by mapping two circles to the two deformed circles, and the horizontal line in between to the connecting point of the two deformed circles. But how to get another $g$ backwards so that $fg\simeq1_{\mathrm{Graph}\ 1}$ and $gf\simeq1_{\mathrm{Graph}\ 2}$.

  • Prove the function is Riemann Integrable
    by Liam Davies-Rooney on October 16, 2021 at 11:44 pm

    photo of question Any help would be appreciated. It’s for a real analysis assignment due Monday and none of my friends can do it either.

  • natural language example to show difference between first order logic propositions
    by The_Tortoise on October 16, 2021 at 11:42 pm

    while discussing some problem in formal logic i came across two different formulas: $ \lnot \exists y (P(y) \land Q)$ and $ (\lnot \exists y P(y))\land Q$ now, these 2 are obviously not equivalent, as the first one is trivially true when Q is false, while the second one is false when Q is false. i tried to think of an example in natural language that highlights their difference, but could not come up with one. any ideas how to express these 2 different concepts in ordinary language?

  • Find the thousandth digit in this string
    by LockyPauk on October 16, 2021 at 11:42 pm

    The sequence contains numbers that appear according to the following rule: first digit is 1, then digit 2 appears twice, then digit 3 appears three times, and so on up to digit 9. inclusive. 11 appears 11 times and so on. Find the thousandth digit in this string. Attempt: The number $n$ is at position $t(n)$ (triangular number). $1+2+3+...+44=990$ is a triangular number, and the number $44$ is at position $990$. Hence, the $45$ is in the $1000$ position But the answer is $3$. What is the flaw in my reasoning?

  • Bounded denominator property in the context of modular forms mod $p$
    by Freddie on October 16, 2021 at 11:12 pm

    Let $f \in M_{k}(\Gamma_{1}(N))$ be a modular form of level $N$ and weight $k$. Let $M \in \Gamma(1)$ be the element taking the cusp $\alpha$ of $\Gamma_{1}(N)$ to $\infty$. We then have a $q_{t}$-expansion of $f \mid M$, where $q_{t} := e^{2\pi i z/t}$ for some $t$ depending on $\alpha$. It is well-known that the denominators of the coefficients of the $q_{t}$-expansion of $f \mid M$ are uniformly bounded, and in fact these coefficients lie in $\mathbb{Q}(\zeta_{N})$ for some primitive $n$-th root of unity $\zeta_{N}$ (see section 12.3 of Diamond-Im here). It is also known that $\theta f$ is a modular form modulo prime $p$ [consider $\left(\theta f - \frac{k}{12}E_{2}f\right)E_{p-1} + \frac{k}{12}E_{p+1}f$, where $E_{k}$ is the $k$-th Eisenstein series, and not the congruences $E_{p-1} \equiv 1 \pmod{p}$ and $E_{p+1} \equiv E_{2} \pmod{p}$]. Question: Considering $f$ and $\theta f$ as modular forms mod $p$, is there anything we can say about the uniform bound on the denominators of $f \mid M$ verses the denominators on $\theta f \mid M$ ? More specifically, are these two bounds dependent on one another, or do they relate in some way?


Surrey Mathematics Research Blog The blog on research in mathematics at the University of Surrey

  • Anne Skeldon visits University of Exeter and gives talk in Dynamics Seminar
    by Tom Bridges on October 12, 2021 at 5:52 pm

    Anne Skeldon visited the School of Mathematics at the University of Exeter today (Tuesday 12 October) and gave a talk on “Dynamics of the sleep-wake cycle: from circle maps to influencing policy“. A link to the seminar webpage is here. In the talk, Anne gave an introduction to the non-smooth coupled oscillator systems that form

  • Paper of Alex Belfield and Dorje Brody published in Journal of Physics A
    by Tom Bridges on October 11, 2021 at 1:35 pm

    The paper “Higher-order uncertainty bounds for mixed states“, co-authored by Alex Belfield and Dorje Brody, has been published this week in Journal of Physics A: Mathematical Theory. The paper is published gold open access and is available here. The image below shows the header of the title page.

  • Masanori Hanada gives virtual seminar at Crete Center for Theoretical Physics
    by Tom Bridges on October 11, 2021 at 9:33 am

    Masanori Hanada is giving a virtual talk tomorrow (12 October) in the Seminar series at the Crete Center For Theoretical Physics. The title is “Bulk geometry in gauge/gravity duality and color degrees of freedom“. A link to the seminar page with abstract is here. The talk is based on the paper of the same title

  • Vladimir Rubtsov visits from the University of Angers in France
    by Tom Bridges on October 4, 2021 at 2:27 pm

    Professor Vladimir Rubtsov, from the Department of Mathematics at the University of Angers, is visiting the Department this week (4-7 October), for research interaction in the areas of Monge-Ampère equations, contact and symplectic geometry. His hosts are Ian Roulstone and Martin Wolf. On Tuesday he is giving an FSG Seminar on “Quantization of Monodromy data

  • Sergey Zelik gives a virtual talk at the Steklov Mathematical Institute in St Petersburg
    by Tom Bridges on October 4, 2021 at 1:57 pm

    Sergey Zelik is giving a virtual talk today (Monday 4th October) in the “V. I. Smirnov Seminar on Mathematical Physics“, hosted by the Steklov Mathematical Institute of Russian Academy of Sciences in St Petersburg. Sergey’s talk is on “Upper and lower bounds for the attractor’s dimension for damped Euler-Bardina equation” and takes place at 16.30


FlowingData Strength in Numbers


AnnMaria's Blog Words from the Prez


Data & Society Data & Society advances public understanding of the social implications of data-centric technologies and automation.

  • Data & Society Welcomes Nicolas Correa as Director of HR & Equity
    by sam on July 14, 2021 at 1:53 pm

    Data & Society is thrilled to announce today that Nicolas Correa has joined us as our new Director of HR & Equity. Previously, he served as Head of People, Talent & Culture with GLAAD. Prior to that, Correa was Director of HR, Americas Region for Cambridge University Press. In addition to driving People & Talent

  • Parables of AI in/from the Global South
    by chris on July 13, 2021 at 2:33 pm

    On Thursday, October 21 and Friday, October 22, 2021, Data & Society Postdoctoral Scholar Ranjit Singh and Event Producer Rigoberto Lara Guzmán will host a two-day online workshop to reflect on storytelling both as a research craft and an intellectual practice. This will be an opportunity for collective listening and network building in the emerging

  • Data & Society Welcomes Ania Calderon as Managing Director
    by sam on July 7, 2021 at 2:35 pm

    Data & Society is thrilled to announce today that Ania Calderon has joined us as our new Managing Director. Ania has worked at the crux of technology and democracy for over a decade as a leading open government advocate. As Executive Director of the Open Data Charter, she partnered with governments and organizations to make

  • Announcing Our Next Director of Research; Search for 2022-24 Role
    by sam on June 16, 2021 at 5:05 pm

    The Director of Research role at Data & Society is designed rotationally to allow us to bring senior, tenured academics into the institute for a dedicated period of time. This design takes advantage of academy norms in order to deepen our interdisciplinary commitments by hosting Directors from different fields and expanding our networks in new

  • Announcing the 2021-2022 Data & Society Faculty Fellows
    by natalie on June 9, 2021 at 4:54 pm

    Data & Society Research Institute is thrilled to welcome Chaz Arnett, Tamara K. Nopper, and Murali Shanmugavelan as its incoming 2021-2022 Faculty Fellows. Starting this September, our Faculty Fellows will bring their critical perspectives on race and digital technologies to Data & Society, and produce work that shows alternative ways forward outside the traditional modes


MIT News - Data | Big data | Analytics | Statistics | IDSS | Operations research MIT news feed about: Data | Big data | Analytics | Statistics | IDSS | Operations research


  • DSC Weekly Digest 12 October 2021
    by Kurt A Cagle on October 15, 2021 at 9:43 pm

    AnnouncementsBuild statistical and analytical expertise as well as the management and…

  • The Power of Determining User Intent
    by Bill Schmarzo on October 11, 2021 at 11:00 pm

    In the digital marketing industry, companies have a fraction of a second to determine a visitor’s intent when they visit a site – that is, what is the visitor trying to accomplish – to guide decisions about 1) what to bid on that visitor (real-time bidding for the right to show them an ad), 2) what ad to show them, and 3) where to place that ad on the…

  • Cloud Consulting Services: A New Paradigm Emerges
    by Divyesh Aegis on October 11, 2021 at 12:00 pm

    The foundation of effective information technology management is a safe and strong data infrastructure. More and more businesses are depending on the cloud to guarantee that huge quantities of data are constantly accessible and can be handled efficiently. Either as cloud services, which rely only on capabilities and technologies, or as managed…

  • Sunglasses and Face Mask Won't Fool Facial Recognition Systems Any More
    by Stephanie Glen on October 11, 2021 at 2:00 am

    Tips to fool facial recognition systems are fast becoming obsolete. New research using partial features is showing a high success rate. The future looks bleak for privacy advocates.Facial recognition systems have exploded in popularity in the last couple of years. From filing for…

  • A window of opportunity for data democracy (Part II of III)
    by Alan Morrison on October 10, 2021 at 12:30 am

    publicdomainpictures.netPart I of this series described the data feudalism we currently have, why we have it, and how it might be possible for at least some of us to escape it. The inspiration for this series has been the evident, but narrow window of opportunity…


Mathematics – Wolfram Blog News, Views and Insights from Wolfram

  • The Singular Euler–Maclaurin Expansion A New Twist to a Centuries-Old Problem
    by Andreas A. Buchheit on June 30, 2021 at 5:32 pm

    Of all mathematical operations, addition is the most basic: It’s what we learn first in school. Historically, it is the most ancient. While the simple task of getting the sum of two numbers is simple, sums of many numbers can easily turn into a challenging numerical problem if the number of summands is very large.

  • Is Your Function Continuous? Squaring Away the New Function Properties in the Wolfram Language
    by Devendra Kapadia on March 30, 2021 at 8:17 pm

    The Wolfram Language has several hundred built-in functions, ranging from sine to Heun. As a user, you can extend this collection in infinitely many ways by applying arithmetic operations and function composition. This could lead you to defining expressions of bewildering complexity, such as the following: &#10005 f = SinhIntegral[ LogisticSigmoid[ ScorerHi[Tanh[AiryAi[HermiteH[-(1/2), x] - x

  • 3D-Printed Jewelry Made with the Wolfram Language Showcases the Beauty of Mathematics
    by Christopher Hanusa on February 15, 2021 at 8:09 pm

    I enjoy turning mathematical concepts into wearable pieces of art. That’s the idea behind my business, Hanusa Design. I make unique products that feature striking designs inspired by the beauty and precision of mathematics. These pieces are created using the range of functionality in the Wolfram Language. Just in time for Valentine’s Day, we recently launched Spikey earrings in

  • Step-by-Step Math Tools in Wolfram|Alpha Help Your Chemistry Course Prep
    by Becky Song on February 12, 2021 at 8:51 pm

    Math is one of the main things that deters students from wanting to learn more about chemistry. Being a chemical engineering student, I understand this, especially for students who just have to get chemistry out of the way as a general education requirement. Essentially, step-by-step solutions are like your own on-demand math tutor: in addition

  • How We Navigated a Hybrid Remote Learning Environment Using Wolfram Technology
    by Timothy Newlin on January 14, 2021 at 6:00 pm

    The past year of learning ushered in a variety of new experiences for instructors and students alike, and the United States Military Academy at West Point was no exception. In addition to masks in the classroom, reduced class sizes to allow for social distancing, rigorous testing and tracing efforts, and precautionary remote video classes, we

  • New Wolfram Language Books on Wolfram|Alpha, Calculus, Applied Engineering and System Modeler
    by Paige Bremner on October 29, 2020 at 3:24 pm

    The pandemic has postponed or canceled a lot of things this year, but luckily learning isn’t one of them. Check out these picks for new Wolfram Language books that will help you explore new software, calculus, engineering and more from the comfort of home. Hands-on Start to Wolfram|Alpha Notebook Edition New from Wolfram Media and

  • Learn Linear Algebra in Five Hours Today with the Wolfram Language!
    by Devendra Kapadia on August 14, 2020 at 1:44 pm

    Linear algebra is probably the easiest and the most useful branch of modern mathematics. Indeed, topics such as matrices and linear equations are often taught in middle or high school. On the other hand, concepts and techniques from linear algebra underlie cutting-edge disciplines such as data science and quantum computation. And in the field of

  • New Wolfram Books: Releases from Wolfram Media and Others Featuring the Wolfram Language
    by Amy Simpson on July 2, 2020 at 6:11 pm

    The first half of 2020 has brought with it another exciting batch of publications. Wolfram Media has released Conrad Wolfram’s The Math(s) Fix. Keep an eye out for the upcoming third edition of Hands-on Start to Wolfram Mathematica later in 2020. The Math(s) Fix The Math(s) Fix: An Education Blueprint for the AI Age is

  • New 12.1 Dataset Interactive Controls and Formatting Options
    by Christopher Carlson on June 23, 2020 at 2:08 pm

    In his blog post announcing the launch of Mathematica Version 12.1, Stephen Wolfram mentioned the extensive updates to Dataset that we undertook to make it easier to explore, understand and present your data. Here is how the updated Dataset works and how you can use it to gain deeper insight into your data. New Interactive