### Is there art in number?

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

- Reviewing Six Online Math Tutoring Services - What’s the Best?by Hugo Pegley on June 22, 2022 at 4:00 am
Math is an exciting field of study that can lead to a variety of exciting careers or research projects. But if you're a student having difficulty with the topic, you might be thinking about enrolling in an online math tutoring program. This is a great way for you to get assistance in a format and The post Reviewing Six Online Math Tutoring Services - What’s the Best? first appeared on SquareCirclez. Related posts: How to Pick A Live Math Chat Tutoring Service If you’re looking for a live math tutor, you are... How Much Does an Online Math Tutor Cost? Across the world, math is the key to understanding many... Online Algebra Math Tutor Many private and public high schools and colleges require students... Best Online Calculus Math Tutor: How to Choose Calculus and math require tremendous background information, practice, and good...

- Picking the Best Online Precalculus Math Tutorby Hugo Pegley on June 22, 2022 at 3:55 am
Students who want to go on to study math, science, engineering, and other disciplines in college, usually find that their chosen college values some prior knowledge of calculus. An online precalculus math tutor could be the answer. High schools commonly offer precalculus courses in the 11th grade before introducing calculus in the 12th. Precalculus is The post Picking the Best Online Precalculus Math Tutor first appeared on SquareCirclez. Related posts: How Much Does an Online Math Tutor Cost? Across the world, math is the key to understanding many... Best Online Calculus Math Tutor: How to Choose Calculus and math require tremendous background information, practice, and good... Online Algebra Math Tutor Many private and public high schools and colleges require students... Reviewing Six Online Math Tutoring Services - What’s the Best? Math is an exciting field of study that can lead...

- How Much Does an Online Math Tutor Cost?by Hugo Pegley on June 15, 2022 at 4:17 am
Across the world, math is the key to understanding many complex subject matters. It is also imperative that a student does not fall behind, as math typically builds on previous concepts. So, it is no secret that many typical high school and college students struggle in math classes. Due to this fact, skilled math tutors The post How Much Does an Online Math Tutor Cost? first appeared on SquareCirclez. Related posts: Online Algebra Math Tutor Many private and public high schools and colleges require students... Best Online Calculus Math Tutor: How to Choose Calculus and math require tremendous background information, practice, and good... How to Choose a Math Tutor Are you in need of mathematics support, or do you... How to Pick A Live Math Chat Tutoring Service If you’re looking for a live math tutor, you are...

- Online Algebra Math Tutorby Hugo Pegley on June 15, 2022 at 4:12 am
Many private and public high schools and colleges require students to take at least one algebra course to complete the fundamental graduation requirements. Still, math classes can be particularly challenging for some learners. Algebra is a broad math subject that students must grasp to learn more complex math. While not as difficult as more advanced The post Online Algebra Math Tutor first appeared on SquareCirclez. Related posts: How Much Does an Online Math Tutor Cost? Across the world, math is the key to understanding many... Best Online Calculus Math Tutor: How to Choose Calculus and math require tremendous background information, practice, and good... Picking the Best Online Precalculus Math Tutor Students who want to go on to study math, science,... Reviewing Six Online Math Tutoring Services - What’s the Best? Math is an exciting field of study that can lead...

- Best Online Calculus Math Tutor: How to Chooseby Hugo Pegley on June 15, 2022 at 4:11 am
Calculus and math require tremendous background information, practice, and good problem-solving skills compared to other school subjects. Teachers in traditional classrooms don't always have the time and resources to ensure students fully understand a subject. But an online calculus math tutor can help you improve your test scores with one-on-one problem solving and personalized live The post Best Online Calculus Math Tutor: How to Choose first appeared on SquareCirclez. Related posts: How Much Does an Online Math Tutor Cost? Across the world, math is the key to understanding many... Online Algebra Math Tutor Many private and public high schools and colleges require students... Picking the Best Online Precalculus Math Tutor Students who want to go on to study math, science,... How to Choose a Math Tutor Are you in need of mathematics support, or do you...

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

- Please give me a detailed explanation on how angle alpha in second quadrant make points (cos $\alpha$ , sin $\alpha$ ) in second quadrantby Midhun Raj on August 8, 2022 at 4:01 am
How come point B make (cos $\alpha$ , sin $\alpha$) for a unit circle If it was in the first quadrant i could figure it out.But since it is in the second quadrant how come it happen.You cant directly go for a right angle triangle. Angle $\angle BAD$ is making 180-$\alpha$ degree ..But i cant figure it out the more useful facts on how its making cos $\alpha$, and sin $\alpha$ as coordinates of point B. Please help me...If this is a stupid question ..please have some kindness towards me. n

- Proving $\sum_{j=1}^{n+1} {2n+2 \choose 2j-1} {j-1/2 \choose n}=2(n+1)^2$by Z Ahmed on August 8, 2022 at 3:58 am
I have given a partial answer to a very interesting recent post Find $f^{(n)}(1)$ on $f(x)=(1+\sqrt{x})^{2n+2}$, where it remains to prove that $$\sum_{j=1}^{n+1} {2n+2 \choose 2j-1} {j-1/2 \choose n}=2(n+1)^2.$$ Wolfarm Mathematica supports this result, I want your help in proving this.

- Proof of boundedness involving gradientsby Jason Miller on August 8, 2022 at 3:54 am
Define: $$f(z) = \frac{1}{m}\left(F_1(z) + \cdots F_m(z)\right),$$ where $F_i$-s are some differentiable functions. Given that: \begin{equation}\label{single} \frac{1}{m} \sum_{j = 1}^m \left\|\nabla F_{j}(z)-\nabla f(z)\right\|^{2} \leq \sigma^{2}, \; %\forall j \in [m], \forall z. \end{equation} Define: $$f_1(z) = \frac{1}{m_1}\left(F_1(z) + \cdots F_{m_1}(z)\right); \;\; f_2(z) = \frac{1}{m_2}\left( F_{m_1+1} \cdots F_m(z)\right),$$ for some $m_1 <m$ and $m_2$ < m such that $m_1 + m_2 = m$. Prove: \begin{equation} \begin{aligned} \frac{1}{m_1} \sum_{j = 1}^{m_1} \left\|\nabla F_{j}(z)-\nabla f_1(z)\right\|^{2} &\leq \sigma_1^{2}, \; %\forall j \in [m_1], \; \forall z, \\ \frac{1}{m_2} \sum_{j = m_1+1}^{m} \left\|\nabla F_{j}(z)-\nabla f_2(z)\right\|^{2} &\leq \sigma_2^{2}, \; %\forall j \in [m]\setminus[m_1], \; \forall z. \end{aligned} \end{equation} for some $\sigma_1$ and $\sigma_2$. I'm wondering if one can prove this, if not, is there any counter examples?

- If the determinant of a matrix goes to infinity, does the quadratic form of its inverse goes to zero?by zzzhhh on August 8, 2022 at 3:34 am
This question occurs to me while I am self-studying machine learning. Let's assume there is a sequence of non-singular matrices $\{A_n\}$ whose size is the same and whose determinant goes to infinity: $$\lim\limits_{N\to\infty}|A_n|=+\infty.$$ Consider the sequence of quadratic forms of corresponding matrix inverses: $$\{q_n\buildrel \wedge \over =a^TA_n^{-1}a\}$$ where the vector $a$ is a general non-zero constant vector. Do we have that this sequence vanishes in the limit $$\lim\limits_{N\to\infty}q_n=0?$$ I have an inclination to agree with it, but my math background is not strong to prove it. If, in the end, it is not true in general, what additional condition do we need to establish this limit? Thank you.

- set of Convergent complex sequences is not smoothby Bediipo on August 8, 2022 at 3:34 am
Prove that C (The Set of all Convergent complex Sequences) fails to be smooth.

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

- Vaibhav Gautam gave a virtual talk at the CCP2022 computational physics conference at the University of Texasby Tom Bridges on August 5, 2022 at 7:56 am
CCP2022, the 33rd IUPAP Conference on Computational Physics, was held this week (1-4 August), hosted by the University of Texas at Austin and held virtually. Vaibhav Gautam gave a contributed talk on Wednesday 3 August on “Partial confinement and flux tube”. The talk was based on an upcoming joint paper with M. Hanada, J. Holden

- Tom Bridges speaks at conference on water waves at the University of Bathby Tom Bridges on August 4, 2022 at 8:49 am
Tom Bridges attended and gave a talk at the conference “New Directions in Water Waves“, held in the Department of Mathematical Sciences at the University of Bath, during the week of 25-29 July. Tom gave the final talk of the conference on Friday 29th and the title, along with the first slide, is shown below.

- Alessandro Torrielli promoted to Professor of Mathematicsby Tom Bridges on August 3, 2022 at 8:16 am
Congratulations to Alessandro Torrielli who has been promoted to Professor of Mathematics by the University of Surrey. Further information about Alessandro and his research can be found at his website (link here). The promotion takes effect on 1st August 2022. The image below shows Alessandro in action at the blackboard.

- Paul Bergold speaks at conference on computation and quantum technology at the University of Bathby Tom Bridges on August 2, 2022 at 8:36 am
Paul Bergold is attending the conference “Computational Mathematics for Quantum Technologies” this week (1-5 August) at the University of Bath. Paul is speaking on Monday on “Tensor-train Chebyshev method for multidimensional quantum dynamics simulations“. A link to the conference webpage with further information and abstracts is here. The image below shows the University of Bath

- Papers of Sergey Zelik on attractors for the 3D damped Euler equations published in DCDS and Physica Dby Tom Bridges on August 1, 2022 at 9:23 am
The paper “Trajectory attractors for 3D damped Euler equations and their approximation“, co-authored by Alexei Ilyin (Keldysh Institute, Moscow), Anna Kostianko (Imperial), and Sergey Zelik, has been published in the August 2022 issue of Discrete and Continuous Dynamical Systems, Series S (link here). The paper studies the global attractors for the damped 3D Euler–Bardina equations

## FlowingData Strength in Numbers

- Mapping the cool spots in hot citiesby Nathan Yau on August 5, 2022 at 7:09 am
As city centers heat up, people search for cooler areas. For Bloomberg Green,…Tags: Bloomberg, climate, cooling, heat

- ✚ Focus Changeby Nathan Yau on August 4, 2022 at 8:30 pm
A few lines and a color fill can change how others see a dataset.Tags: focus, highlight

- Amtrak train route explorerby Nathan Yau on August 4, 2022 at 3:44 pm
This visual explorer by Rachel Binx lets you see Amtrak routes and stations…Tags: Amtrak, Rachel Binx, train

- More friendships between rich and poor might mean less povertyby Nathan Yau on August 3, 2022 at 8:12 am
Recently published in Nature, research by Chetty, R., Jackson, M.O., Kuchler, T. et…Tags: economics, facebook, income, poverty, relationships

- Most notable person, everywhere in the worldby Nathan Yau on August 2, 2022 at 7:01 am
Who is the most famous person born in the place you live? This…Tags: people, Topi Tjukanov

## AnnMaria's Blog Words from the Prez

- Converting to fiscal years, using SASby annmaria on January 30, 2022 at 5:50 am
Creating a new variable for fiscal year with SAS is actually super simple.

- 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)

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

- Data & Society Names Sona Rai as Director of Communicationsby chris on June 15, 2022 at 7:44 pm
June 15, 2022—Following an extensive national search, Data & Society is delighted to announce the appointment of Sona Rai as its next director of communications. Rai has more than 15 years of interdisciplinary communications experience in the fields of government, media, civil rights, immigration, and criminal legal system reform, and has worked closely with academics

- Welcoming Data & Society’s 2022–23 Faculty Fellowsby chris on June 8, 2022 at 6:34 pm
June 8, 2022—Data & Society is pleased to welcome Lindsey D. Cameron and Christina N. Harrington to our 2022–23 Faculty Fellowship Program. Starting this September, the program will benefit from their unique perspectives and expertise as they conduct rigorous interrogations of data-intensive systems of government and the ways these systems intersect with race. Their work

- Data & Society Welcomes Cindy Cohn to Its Board of Directorsby chris on June 1, 2022 at 3:00 pm
June 1, 2022—Data & Society is pleased to announce that Cindy Cohn, a prominent civil liberties attorney specializing in internet law, has joined its board of directors. Cohn is the executive director of the Electronic Frontier Foundation (EFF), leading the organization in its advocacy for civil liberties on the internet. A fierce defender of free

- Janet Haven Appointed to the National AI Advisory Committeeby chris on April 14, 2022 at 9:15 am
April 14, 2022—Data & Society is thrilled to announce that our Executive Director, Janet Haven, has been appointed to the National AI Advisory Committee by the US Secretary of Commerce. She joins 26 other committee appointees from across academia, the nonprofit sector, civil society, and private industry who will advise the President and the National

- Data & Society Welcomes Ellen Pao & Raina Kumra to its Board of Directorsby veronica on January 11, 2022 at 3:00 pm
Data & Society is delighted to welcome Ellen Pao and Raina Kumra to our Board of Directors. Ellen Pao is a tech investor and advocate, the former CEO of reddit, and a cofounder of the award-winning diversity and inclusion nonprofit Project Include. Her writing has appeared in WIRED, The New York Times, The Washington Post,

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

- Researchers discover major roadblock in alleviating network congestionby Adam Zewe | MIT News Office on August 4, 2022 at 4:00 am
Algorithms designed to ensure multiple users share a network fairly can’t prevent some users from hogging all the bandwidth.

- Emma Gibson: Optimizing health care logistics in Africaby Rachel Yang | MIT News correspondent on July 28, 2022 at 4:00 am
The PhD student seeks to improve patient care by helping facilities use their limited resources more effectively.

- A technique to improve both fairness and accuracy in artificial intelligenceby Adam Zewe | MIT News Office on July 20, 2022 at 4:00 am
Methods that make a machine-learning model’s predictions more accurate overall can reduce accuracy for underrepresented subgroups. A new approach can help.

- Costis Daskalakis appointed inaugural Avanessians Professor in the MIT Schwarzman College of Computingby MIT Schwarzman College of Computing on July 15, 2022 at 5:35 pm
Professor of electrical engineering and computer science will receive additional support to advance his research and career.

- MIT welcomes eight MLK Visiting Professors and Scholars for 2022-23by Beatriz Cantada | Institute Community and Equity Office on July 14, 2022 at 6:55 pm
Martin Luther King Jr. Visiting Professors and Scholars will enhance and enrich the MIT community through engagement with students and faculty.

- Teaching AI to ask clinical questionsby Adam Zewe | MIT News Office on July 14, 2022 at 4:00 am
Researchers have made strides toward machine-learning models that can help doctors more efficiently find information in a patient’s health record.

- Hurricane-resistant construction may be undervalued by billions of dollars annuallyby Andrew Paul Laurent | MIT Concrete Sustainability Hub on July 11, 2022 at 8:00 pm
Failing to consider neighborhood texture in hurricane-related wind loss models may undervalue stronger construction by over 80 percent.

- Building explainability into the components of machine-learning modelsby Adam Zewe | MIT News Office on June 30, 2022 at 4:00 am
Researchers develop tools to help data scientists make the features used in machine-learning models more understandable for end users.

- 3 Questions: Marking the 10th anniversary of the Higgs boson discoveryby Jennifer Chu | MIT News Office on June 30, 2022 at 4:00 am
Christoph Paus, the MIT physicist who co-led the effort to detect the particle, looks ahead to the next 10 years.

- Exploring emerging topics in artificial intelligence policyby Terri Park | MIT Schwarzman College of Computing on June 28, 2022 at 9:20 pm
The second AI Policy Forum Symposium convened global stakeholders across sectors to discuss critical policy questions in artificial intelligence.

## Mathematics – Wolfram Blog News, Views and Insights from Wolfram

- New in 13: Cryptography, Blockchains & NFTsby Stephen Wolfram on April 8, 2022 at 6:32 pm
Two years ago we released Version 12.0 of the Wolfram Language. Here are the updates in cryptography, blockchains and NFTs since then, including the latest features in 13.0. The contents of this post are compiled from Stephen Wolfram’s Release Announcements for 12.1, 12.2, 12.3 and 13.0. Cryptography & Security (December 2020) One of the

- The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematicsby Stephen Wolfram on March 8, 2022 at 12:43 am
One of the many surprising (and to me, unexpected) implications of our Physics Project is its suggestion of a very deep correspondence between the foundations of physics and mathematics. We might have imagined that physics would have certain laws, and mathematics would have certain theories, and that while they might be historically related, there wouldn’t be any fundamental formal correspondence between them. But what our Physics Project suggests is that underneath everything we physically experience there is a single very general abstract structure—that we call the ruliad—and that our physical laws arise in an inexorable way from the particular samples we take of this structure. We can think of the ruliad as the entangled limit of all possible computations—or in effect a representation of all possible formal processes. And this then leads us to the idea that perhaps the ruliad might underlie not only physics but also mathematics—and that everything in mathematics, like everything in physics, might just be the result of sampling the ruliad.

- Learning Differential Equations in 10 Hours or Fewer with the Wolfram Languageby Luke Titus on January 19, 2022 at 3:00 pm
Differential equations are a cornerstone of modern mathematics. From quantum mechanics to population dynamics and stock market predictions, they play a crucial role in understanding the world around us. For this reason, courses on differential equations are core for many undergraduate degrees in the natural sciences, engineering and other fields. Today, I am proud to

- 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