### 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

- Evaluating area of a circle using integration.by Agnibho Dutta on June 5, 2023 at 6:20 am
I became curious about the alternative methods to write a formula for the area of a circle rather than the popular method of dividing a circle into equal sections of an infinitesimal angle. I gave it a little thought and made a little headway. For a circle, $x^2 + y^2 = R^2$, where $R$ is the radius. $\therefore y = \sqrt{R^2 - x^2}$ $\int_{0}^{1} \sqrt{R^2 - x^2}$ = Area of each quadrant $\Rightarrow$ Area of circle = $\int_{0}^{1} 4\sqrt{R^2 - x^2}$ I can't understand how to start with.

- $f$ and $\hat f$ are integrable, right-hand limit and left-hand limit exist, then two limits equal.by Hobby on June 5, 2023 at 6:14 am
I've been struggling with some problems about "Fourier Series" and "Fourier Integral". My main problem is : " The function $f \in L^1(\mathbb R)$ and its fourier integral $\hat f \in L^1(\mathbb R)$ are given, the left-hand limit and the right-hand limit exist on $x=0$, show that two limits equal. " My trial was using "Inverse Fourier Transfrom". Since $\hat f$ is continuous function and $L^1$-integrable, $f(x)= \frac{1}{2\pi}\int_{\mathbb R} \hat f(\alpha) e^{i\alpha x} d\alpha$ a.e. holds. The problem says there exist left-hand limit and right-hand limit on x=0, then $e^{i\alpha x} \rightarrow 1 $ as x goes to 0, so the left-hand limit and right-hand one would be the same. But, my solution have a huge problem. The "inverse" equality only holds "a.e." Only if $f$ is continous, the equality holds everywhere. However, there is no condition about it. Then, how I could solve this problem? Is there any idea solving this problem, without using "the Inverse Fourier Transform"?

- Could someone explain me the last 3 step of this problemby All Things on June 5, 2023 at 5:57 am
mean deviation from mean of Negative probability distribution

- When does the average of R.V.s converge to the average of their means?by Yaroslav Bulatov on June 5, 2023 at 5:49 am
When does the average of $n$ independent random variables concentrate around the average of their means as $n$ tends towards infinity? I'm having trouble understanding Theorem 11 in these class notes from Wade Trappe's class. It gives the following sufficient condition: However, I think this might be incorrect. Consider $X_2,X_3,X_4,\ldots=0$. This scenario does fulfill the theorem's condition and it also implies that the probability of $X_1$ being equal to its expected value is 1, which is applicable to any random variable $X_1$ that has a finite variance. This does not seem right. So, what is the accurate condition for this convergence to occur? This related post provides a formula for the variance of a linear transformation of a 'd'-dimensional Dirichlet random variable. This might suggest that the sum of the squares of the differences between the variances of all pairs of these random variables (i.e., $\sum_{i<j}^n (\operatorname{var}(X_i)-\operatorname{var}(X_j))^2$) needs to grow at a rate slower than $O(n)$ for this convergence to happen.

- How to prove that $ \int_a^b{f(x,t)}dt $ is dependent only on x [closed]by UWU gg on June 5, 2023 at 5:35 am
$F(x) = \int_a^b{f(x,t)}dt $ How to prove this?

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

- Anne Skeldon speaks at Biological Rhythms Conference in Lausanne, Switzerlandby Tom Bridges on June 4, 2023 at 10:41 am
Anne Skeldon was in Lausanne last week (30 May to 1 June) for the 34th Annual Meeting of the Society for Light Treatment and Biological Rhythms (link here). Anne gave a talk on “Identifying whether extreme sleep phenotypes are driven by endogenous circadian factors or environmental factors by combining light and sleep timing data with

- Bernasconi, Furber, and Sullinge-Farrall speak at the SIAM Student Chapter Conference at Oxfordby Tom Bridges on June 2, 2023 at 3:56 pm
Rachel Bernasconi, Jessica Furber, and Elliott Sullinge-Farrall attended the SIAM UKIE National Student Chapter Conference 2023 (link here), hosted by the University of Oxford (1-2 June). Jessica presented a 12 minute talk, titled: “Spending Energy for a Reward: Understanding the Fine Movements of Badgers“; Rachel presented a 12 minute talk, titled “Owls, larks, and tongues.

- Anne Skeldon is an invited speaker at mathematical biology conference at the University of Edinburghby Tom Bridges on June 1, 2023 at 9:50 am
Anne Skeldon was in Edinburgh last week (24-25 May) for a conference on “Separation of time scales in biology“, held at the Bayes Centre, University of Edinburgh (conference website here). Anne was an invited speaker and talked on “The fast-slow dynamics of sleep regulation“, which was based on joint work with Gianne Derks (Leiden) and

- New postdoc Shresth Gupta is working with Philip Aston on IAA-funded projectby Tom Bridges on May 30, 2023 at 1:29 pm
Shresth Gupta has joined the Department today (Monday 22 May) as a postdoc working with Philip Aston. His project lasts for 9 months, is funded by UKRI via an Impact Acceleration Account. The project is entitled “Blood Glucose Estimation from Photoplethysmography Signals to Enable Continuous Blood Glucose Monitoring for Diabetics”. Shresth has just finished his

- Bin Cheng gives invited talk at dynamical systems conference in Moroccoby Tom Bridges on May 30, 2023 at 6:10 am
Bin Cheng was in Marrakesh last week (15-17 May) for the Fifth Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD 2023, link here). Bin was invited to give a talk in the “Dynamics of PDEs” minisymposium, and the title of his talk was “Near-resonance approximation of rotating Navier-Stokes equations“. The abstract can be found in

## FlowingData Strength in Numbers

- Rights at risk at the U.S. Supreme Court levelby Nathan Yau on June 2, 2023 at 6:00 pm
For ProPublica, Ian MacDougall and Sergio Hernandez evaluated records of sitting justices to…Tags: ProPublica, rights, Supreme Court

- An open-access journal for visualization researchby Nathan Yau on June 2, 2023 at 7:42 am
In an effort to provide a more transparent process in visualization and interaction…Tags: journal, open access, research

- ✚ Chart Practice: Feature Focusby Nathan Yau on June 1, 2023 at 6:30 pm
Focus on the small visualization things you can improve while still getting your work done.Tags: practice

- Scale model of the universe’s timelineby Nathan Yau on June 1, 2023 at 7:30 am
To better understand the scale of time and feed your existential dread, Wylie…Tags: Alex Gorosh, scale, time, Wylie Overstreet

- More hiring, because more quittingby Nathan Yau on May 31, 2023 at 7:51 am
This is a good example of things are not quite what they seem…Tags: hiring, Washington Post, work

## AnnMaria's Blog Words from the Prez

- Macros, SQL and Reading CSV with SAS – Part 1by annmaria on December 27, 2022 at 6:31 am
How can you combine data sets with different variable lengths, different unique identifiers, in a different format than last year? It's easy.

- 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.

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

- Data & Society Announces Eleven New Affiliatesby Alessandra Erawan on May 24, 2023 at 6:17 pm
May 24, 2022—Data & Society (D&S) is pleased to welcome eleven new affiliates, adding to an existing group of researchers, thinkers, and advocates who regularly collaborate with and lend their insight to the organization. The affiliates program is a key avenue for D&S to work in partnership with members of its extended network, all of

- Data & Society Announces the Launch of its Algorithmic Impact Methods Labby chris on May 10, 2023 at 4:06 pm
May 10, 2023 — New York, NY — Data & Society (D&S) today announced the launch of its Algorithmic Impact Methods Lab (AIMLab), which will develop robust public interest methodologies to evaluate how increasingly ubiquitous automated decision-making systems impact people’s lives and society at large. We know these systems have enormous consequences, yet there is

- Statement on Organizational Independence and Gift Acceptanceby chris on April 6, 2023 at 5:53 pm
Data & Society’s mission is to advance public understanding of the social implications of data-centric technologies and automation. Our team strongly believes that operational decisions should reflect our organizational values of independence, integrity, and equity. As a 501c3 funded entirely by charitable giving from a range of donors, we recognize the risks inherent to this

- Data & Society Welcomes Brian J. Chen as Director of Policyby Alessandra Erawan on February 22, 2023 at 2:06 pm
New York, NY (2/22/2023) – Data & Society is pleased to announce that Brian J. Chen has joined the organization as policy director. In this role, Chen will increase the visibility of Data & Society’s research with civil society partners, government, and the tech industry, and position sociotechnical research as a tool for policy change.

- Digital Doppelgangersby chris on February 8, 2023 at 9:08 pm

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

- Celebrating the impact of IDSSby Kaitlin Provencher | Institute for Data, Systems, and Society on May 26, 2023 at 2:15 pm
A two-day conference at MIT reflected on the impact of the Institute for Data, Systems, and Society since its launch, as founding Director Munther Dahleh prepares to step down.

- Study doubles the number of known repeating fast radio burstsby MIT Kavli Institute for Astrophysics and Space Research on May 25, 2023 at 2:35 pm
Statistics tools support the idea that all radio bursts may repeat if observed long enough.

- Exploring new methods for increasing safety and reliability of autonomous vehiclesby Madeleine Turner | MIT Laboratory for Information and Decision Systems on May 23, 2023 at 8:55 pm
A new study finds human supervisors have the potential to reduce barriers to deploying autonomous vehicles.

- Using data to write songs for progressby Sandi Miller | Department of Mathematics on May 21, 2023 at 4:00 am
Senior Ananya Gurumurthy adds her musical talents to her math and computer science studies to advocate using data for social change.

- Architectural heritage like you haven’t seen it beforeby Peter Dizikes | MIT News Office on May 19, 2023 at 4:00 am
“Ways of Seeing” project documents endangered Afghan heritage sites through digital imaging, virtual reality, and hand-drawn professional renderings.

- J-WAFS announces 2023 seed grant recipientsby Maria Paula Acosta Bello | Abdul Latif Jameel World Water and Food Systems Lab on May 17, 2023 at 6:45 pm
Fifteen principal investigators from across MIT will conduct early work to solve issues ranging from water contamination to aquaculture monitoring and management.

- A better way to study ocean currentsby Adam Zewe | MIT News Office on May 17, 2023 at 4:00 am
A new machine-learning model makes more accurate predictions about ocean currents, which could help with tracking plastic pollution and oil spills, and aid in search and rescue.

- Joining the battle against health care biasby Eric Bender | MIT Industrial Liaison Program on May 16, 2023 at 9:00 pm
Leo Anthony Celi invites industry to broaden its focus in gathering and analyzing clinical data for every population.

- Success at the intersection of technology and financeby MIT Career Advising and Professional Development on May 10, 2023 at 6:00 pm
Citadel founder and CEO Ken Griffin visits MIT, discusses how technology will continue to transform trading and investing.

- Study: AI models fail to reproduce human judgements about rule violationsby Adam Zewe | MIT News Office on May 10, 2023 at 6:00 pm
Models trained using common data-collection techniques judge rule violations more harshly than humans would, researchers report.

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

- Stack the Odds in Your Favor and Master Probability with Wolfram Languageby Marc Vicuna on March 24, 2023 at 3:46 pm
“I believe that we do not know anything for certain, but everything probably.” —Christiaan Huygens Have you ever wondered how health insurance premiums are calculated or why healthcare is so expensive? Or what led to the financial crisis of 2008? Or whether nuclear power is safe? The answers to these questions require an understanding of

- Active Learning with Wolfram|Alpha Notebook Editionby Jordan Hasler on January 20, 2023 at 8:16 pm
As you may know from your own experience (or perhaps from the literature on education), passively receiving information does not lead to new knowledge in the same way that active participation in inquiry leads to new knowledge. Active learning describes instructional methods that engage students in the learning process. Student participation in the classroom typically

- Wolfram|Alpha Pro Teaches Step-by-Step Arithmetic for All Grade Levelsby AnneMarie Torresen on August 26, 2022 at 3:12 pm
In grade school, long arithmetic is considered a foundational math skill. In the past several decades in the United States, long arithmetic has traditionally been introduced between first and fifth grade, and remains crucial for students of all ages. The Common Core State Standards for mathematics indicate that first-grade students should learn how to add

- Fractional Calculus in Wolfram Language 13.1by Tigran Ishkhanyan on August 12, 2022 at 9:10 pm
What is the half-derivative of x? Fractional calculus studies the extension of derivatives and integrals to such fractional orders, along with methods of solving differential equations involving these fractional-order derivatives and integrals. This branch is becoming more and more popular in fluid dynamics, control theory, signal processing and other areas. Realizing the importance and potential

- 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