### Is there art in number?

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

- A Rare Fibonacci Dayby 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 Suppliesby 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 Calculatorby 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 Suppliesby 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 Suppliesby 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 figuresby 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 Integrableby 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 propositionsby 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 stringby 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 Seminarby 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 Aby 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 Physicsby 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 Franceby 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 Petersburgby 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

- How the Longest Running Shows Rated Over Episodesby Nathan Yau on October 15, 2021 at 7:07 am
Most television shows don't get past the first season, but there are some that manage to stick around. These are the 175 longest running shows on IMDb that have ratings.Tags: imdb, ratings, television

- ✚ Keep Them Separated – The Process 161by Nathan Yau on October 14, 2021 at 6:30 pm
Not everything has to be in the visualization at the same time.Tags: separation, small

- Simulating how just a little gender bias in the workplace can lead to big effects up the chainby Nathan Yau on October 14, 2021 at 5:02 pm
Yuhao Du, Jessica Nordell, and Kenneth Joseph used simulations to study the effects…Tags: bias, gender, New York Times, work

- How the 3-point line changed basketballby Nathan Yau on October 14, 2021 at 3:53 pm
Vox shows how the 3-point line is “breaking” the game. The basic math…Tags: basketball, Vox

- Possible cheating seen in a scatterplotby Nathan Yau on October 13, 2021 at 10:36 am
When plotting Russian election results, a structured grid patterns appear. From The Economist:…Tags: cheating, Economist, election

## AnnMaria's Blog Words from the Prez

- Giving Students Their Money’s Worth Onlineby annmaria on August 23, 2020 at 6:26 am
As someone who has taught for over 30 years, and online for most of the last 7, I can tell you that online courses can actually be better.

- Tomorrow, I will be serious. Today, it’s quarantine clothesby annmaria on April 10, 2020 at 2:57 am
In my first ever post on fashion, I discuss rules for attire in web meetings. Number one: Wear clothes.

- The Blog Hourby annmaria on April 9, 2020 at 2:55 am
To fight off quarantine boredom, my granddaughter, Eva, and I have a nightly blogging challenge. Feel free to join us.

- Being (less) stressed during a pandemicby annmaria on April 8, 2020 at 2:51 am
Want to be stressed less? Start your day with something you look forward to and check out what your public library has to offer (yes, really)

- Everything is NOT just fineby annmaria on April 3, 2020 at 10:17 pm
If you think you should be feeling as if everything is fine, STOP IT! Everything is NOT fine. Even if you are healthy and your rent is paid, there is still a pandemic.

## 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 & Equityby 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 Southby 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 Directorby 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 Roleby 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 Fellowsby 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

- New integrative computational neuroscience center established at MIT’s McGovern Instituteby Jennifer Michalowski | McGovern Institute for Brain Research on October 13, 2021 at 8:45 pm
The K. Lisa Yang Integrative Computational Neuroscience (ICoN) Center will use mathematical tools to transform data into a deep understanding of the brain.

- Deep learning helps predict traffic crashes before they happenby Rachel Gordon | MIT CSAIL on October 12, 2021 at 7:45 pm
A deep model was trained on historical crash data, road maps, satellite imagery, and GPS to enable high-resolution crash maps that could lead to safer roads.

- Making data visualizations more accessibleby Adam Zewe | MIT News Office on October 12, 2021 at 4:00 am
Researchers find blind and sighted readers have sharply different takes on what content is most useful to include in a chart caption.

- Enabling AI-driven health advances without sacrificing patient privacyby Zach Winn | MIT News Office on October 7, 2021 at 4:00 am
Secure AI Labs, founded by alumna Anne Kim and MIT Professor Manolis Kellis, anonymizes data for AI researchers.

- 3 Questions: Kalyan Veeramachaneni on hurdles preventing fully automated machine learningby Adam Zewe | MIT News Office on October 6, 2021 at 4:00 am
Researchers hope more user-friendly machine-learning systems will enable nonexperts to analyze big data — but can such systems ever be completely autonomous?

- Study: Global cancer risk from burning organic matter comes from unregulated chemicalsby Jennifer Chu | MIT News Office on September 22, 2021 at 4:00 am
The researchers hope scientists and regulators will consider a broader class of compounds in evaluating cancer risk due to PAH exposure.

- Data flow’s decisive role on the global stageby Leda Zimmerman | Department of Political Science on September 21, 2021 at 5:50 pm
New research by political science PhD candidate Meicen Sun illuminates the broad economic and political impacts of internet restrictions.

- How quickly do algorithms improve?by Rachel Gordon | MIT CSAIL on September 20, 2021 at 10:00 pm
MIT scientists show how fast algorithms are improving across a broad range of examples, demonstrating their critical importance in advancing computing.

- Research collaboration puts climate-resilient crops in sightby Alison Gold | Abdul Latif Jameel Water and Food Systems Lab on September 17, 2021 at 2:00 pm
MIT professors Dave Des Marais and Caroline Uhler combine plant biology and machine learning to identify genetic roots of plant responses to environmental stress.

- MIT appoints members of new faculty committee to drive climate action planby Office of the Vice President for Research on September 17, 2021 at 4:00 am
Professors Noelle Selin and Anne White will co-chair the Climate Nucleus, charged with managing and implementing MIT’s new plan.

- DSC Weekly Digest 12 October 2021by 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 Intentby 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 Emergesby 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 Moreby 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 Problemby 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 Languageby 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: ✕ f = SinhIntegral[ LogisticSigmoid[ ScorerHi[Tanh[AiryAi[HermiteH[-(1/2), x] - x

- 3D-Printed Jewelry Made with the Wolfram Language Showcases the Beauty of Mathematicsby 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 Prepby 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 Technologyby 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 Modelerby 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 Languageby 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 Optionsby 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