### Is there art in number?

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

- Math Homework Help: A Guide to the Best AI Math Solver of 2023by Casey Allen on October 24, 2023 at 4:20 am
About a quarter of the average college student's courseload is general education requirements. While these are graduation requirements, they also are usually time-wasters. They're challenging and stressful... but luckily, help is available. If you're looking for quick math homework help, an online AI math solver can bring your grades up quickly and effectively. Read on to The post Math Homework Help: A Guide to the Best AI Math Solver of 2023 first appeared on SquareCirclez. Related posts: 5 Best Free Math Problem Solvers Math problems allow students to learn new concepts and strengthen... Curriculum Webs - more homework needed "Weaving the Web into Teaching and Learning" Cunningham, C and... Buyer’s Guide: TI-84 Graphing Calculator Math classes can be daunting. From a young age, I... My dilemma - ethical math help Is there a difference between paying someone to do...

- 5 Best Free Math Problem Solversby Casey Allen on June 6, 2023 at 3:43 am
Math problems allow students to learn new concepts and strengthen problem-solving skills. But many learners feel confused or frustrated if they can’t find the correct solution. A math problem solver is a handy tool that helps students doublecheck their work and identify errors. However, not all math problem solvers are created equal. Here are the The post 5 Best Free Math Problem Solvers first appeared on SquareCirclez. Related posts: Microsoft Math 3.0 Review MS Math 3.0 is a well-designed computer-based math tool.... Free math software downloads Wanting to use some math software but find it’s too... GraphSketch.com - free online math grapher GraphSketch is a free offering that allows the user to... Context Free math-based art Context Free is software you can use to produce some...

- 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...

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

- Evaluate $\int_{0}^{\frac{\pi}{2}}(\sin^{2}\frac{x}{2}-\cos^{2}\frac{x}{2})dx$ by definite integral propertiesby shashank nagaraj3 on March 2, 2024 at 5:43 pm
By using property 4 but using trigonometry identities we get -1 as answer

- Showing $x^n - 1 = \prod_{d|n}{\Phi_d(x)}$ with this definition of cyclotomic polynomials.by wheeler on March 2, 2024 at 5:36 pm
Is there a way to show $x^n - 1 = \prod_{d|n}{\Phi_d(x)}$ with the n-th cyclotomic polynomial $\Phi_n(x)$ being defined as the monic integer polynomial of largest degree dividing $x^n - 1$ but being coprime to every $x^k - 1$ for $1 \leq k < n$?

- Noisy Quantum state exercise regarding trace of matrix.by anonymous on March 2, 2024 at 5:25 pm
Prove the following equality: $$\text{Tr}\{A\}= \langle \Gamma \vert_{RS} I_R \otimes A_S \vert \Gamma \rangle_{RS}.$$ Where $A$ is a square operator acting on a Hilbert space $\mathbf{H}_S$, $I_R$ is the identity operator acting on Hilbert space $\mathbf{H}_R$. Here, $$\vert \Gamma \rangle_{RS} \equiv \sum_{i=0}^{d-1} \vert i \rangle_R \vert i \rangle_S.$$ Also, trace is given as $$\text{Tr}\{A\} \equiv\sum_i \langle i \vert A \vert i \rangle.$$ I am a pure math major and am very weak with physics and am stuck computing the RHS of the equality. Thanks in advance for any hints or tips!! I guess what I am trying to say is I am new with all of this notation and how to decipher it all.

- Determine the domain-sets of $f(z)=z\bar{z}/(z^2+\bar{z}^2)$by Confused on March 2, 2024 at 5:21 pm
Determine the domain-sets of $$f(z)=\frac{z\bar{z}}{z^2+\bar{z}^2}$$ Here's my attempt: Consider z = x+iy, $z^2+\bar{z}^2 = (x+iy)^2 +(x-iy)^2 = 2x^2$ we know that $z^2+\bar{z}^2 \neq 0$ and so $x \neq 0$ The solution is $\Bbb{C}$ \ {z = x + iy | x = y or x = -y} I don't really understand the solution or the steps that will lead to it. Any help is appreciated.

- Trouble Understanding Tetrahedral Interpolationby vannira on March 2, 2024 at 5:20 pm
(This is more specifically referring to 3D LUT creations, incase there are other uses of tetrahedral interpolation, which I'm sure there are) I've been reading about spline interpolation which visually has always been relatively intuitive to me, in regards to how we can use sample-source input and corresponding sample-target values to interpolate further non-sampled target values from other input values. However, when I think about tetrahedral interpolation in 3D LUT creation, I can't seem to link the use of source sample data and target sample date aids in the interpolation. To my understanding, we initially analyze which of the 6 tetrahedrons the input (r,g,b) triplet falls into and then proceed to use the 4 corners of these vertices to interpolate. To my knowledge this is usually done by implementing something such as barycentric coordinates. However, aren't these vertices of the cubes just given the standard unit vectors (1,0,0), (0,1,0), (0,0,1) , (1,1,0) and so on. I don't see how the sample data of source and target comes into play to determine how the unsampled source data will be mapped to our target source. I hope this makes sense and that this is the correct forum to post this in. Please leave feedback on how I can make this question easier to answer, although a This is where my understanding,

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

- Matt Turner awarded a travel grant by the London Mathematical Societyby Tom Bridges on February 28, 2024 at 6:29 pm
The London Mathematical Society has awarded a Research in Pairs grant to Matt Turner. The grant funds a one-week visit to the Mathematics Department at Keele University to work with Jonathan Healey. Matt and Jonathan plan to work on a project involving absolute and convective instabilities of shear flows. The photo below shows part of

- Paper of Jan Gutowski accepted for publication in Classical and Quantum Gravityby Tom Bridges on February 28, 2024 at 8:11 am
The paper “Real Supersymmetric Solutions of (3, 2) Signature Five-Dimensional Supergravity“, co-authored by Daniele Farotti, Jan Gutowski, and Wafic Sabra (American University, Beirut), has been accepted for publication in Classical and Quantum Gravity. Daniele is a former PhD student at Surrey, completing in July 2023 (announcement link here). The paper classifies supersymmetric solutions of D

- EPSRC highlights project and paper of Matt Turner on fluid sloshingby Tom Bridges on February 27, 2024 at 5:10 pm
The EPSRC funded project “Dynamic coupling in sloshing systems with multiple baffles” (gow link here), with Principal Investigator Matt Turner, has been selected by EPSRC for highlighting on their website (link here). In the interview with EPSRC, Matt said “Sloshing liquids can impact safety and efficiency. For example, if a tanker transporting liquids via road

- Carina Dunlop gives a seminar at the Insigneo Institute at the University of Sheffieldby Tom Bridges on February 27, 2024 at 10:57 am
Carina Dunlop visited the Insigneo Institute at the University of Sheffield on Monday 26 February. She gave a talk in their seminar series (link here) on “What do cells and tissues feel? The integration of cell contractility, growth and adhesion in mechanosensing“. The Insigneo Institute (link here) is a collaboration between the University of Sheffield,

- Paul Bergold visits France and participates in a workshop on molecular dynamics at the University of Angersby Tom Bridges on February 25, 2024 at 11:46 am
Paul Bergold was in France last week (19-23 February) to participate in a workshop on “Molecular Dynamics“. A link to the workshop website is here. The workshop brought together a diverse group of theoretical chemists and mathematicians keen on diving into the various aspects of molecular dynamics, particularly from the perspectives of numerical analysis and

## FlowingData Strength in Numbers

- If we didn’t have leap yearsby Nathan Yau on March 1, 2024 at 6:26 pm
For CNN, Amy O’Kruk and Kenneth Uzquiano asked what would happen if we…Tags: CNN, leap year

- Rock map of Scotlandby Nathan Yau on March 1, 2024 at 8:14 am
Harry Jefferies shared his grandfather’s 30-year project: My grandpa who is 85 started…Tags: geology, Harry Young, physical, Scotland

- ✚ Visualization Tools and Learning Resources, February 2024 Roundupby Nathan Yau on February 29, 2024 at 7:45 pm
Every month I collect tools and resources that help you make better charts. Here's the good stuff for February.Tags: roundup

- Algorithmic road trip to visit a street named after each day of the yearby Nathan Yau on February 29, 2024 at 8:28 am
Ben Ashforth set out to visit a street named after a day of…Tags: algorithm, Ben Ashforth, OpenStreetMap, road trip

- McDonald’s Locations vs. Golf Coursesby Nathan Yau on February 28, 2024 at 10:26 am
There are thousands of McDonald's locations, but there are still more golf courses in the United States. This seems surprising, but some maps make it clear.Tags: golf, McDonald's

## AnnMaria's Blog Words from the Prez

- Why won’t SAS see this character variable is equal?by annmaria on July 16, 2023 at 6:13 pm
When I selected observations where the character variable was equal to a certain value, SAS returned 0 observations - but I knew there should be a match!

- 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.

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

- Response to RFI Related to NIST’s Assignments Under the AI Executive Orderby Alessandra Erawan on February 14, 2024 at 5:38 pm
- Meet Our Advisorsby Alessandra Erawan on February 14, 2024 at 5:02 pm
- Response to OMB’s Artificial Intelligence Draft Memorandumby Alessandra Erawan on December 13, 2023 at 8:18 pm
December 13, 2023 — Data & Society’s comment on the Office of Management and Budget’s (OMB) draft guidance applauds the important steps it takes toward AI accountability, and encourages OMB to keep those measures in its final guidance. As we note, the draft guidance rightly identifies many AI systems that have caused harm to the

- Eleven New Affiliates Join Data & Societyby Alessandra Erawan on December 13, 2023 at 8:18 pm
- Written Statement: US Senate AI Insight Forumby Alessandra Erawan on December 7, 2023 at 5:27 pm
December 7, 2023 — On December 6, Data & Society Executive Director Janet Haven addressed the bipartisan AI Insight Forum in a session focused on “risk, alignment, and guarding against doomsday scenarios.” She emphasized to US senators that the best way to address the theoretical risks of AI in the future is to address the

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

- Dealing with the limitations of our noisy worldby Adam Zewe | MIT News on March 1, 2024 at 5:00 am
Tamara Broderick uses statistical approaches to understand and quantify the uncertainty that can affect study results.

- Startup accelerates progress toward light-speed computingby Zach Winn | MIT News on March 1, 2024 at 5:00 am
Lightmatter, founded by three MIT alumni, is using photonic technologies to reinvent how chips communicate and calculate.

- Power when the sun doesn’t shineby Deborah Halber | MIT Energy Initiative on February 29, 2024 at 9:45 pm
With batteries based on iron and air, Form Energy leverages MIT research to incorporate renewables into the grid.

- New AI model could streamline operations in a robotic warehouseby Adam Zewe | MIT News on February 27, 2024 at 5:00 am
By breaking an intractable problem into smaller chunks, a deep-learning technique identifies the optimal areas for thinning out traffic in a warehouse.

- “We offer another place for knowledge”by Katherine Ouellette | MIT Open Learning on February 26, 2024 at 7:35 pm
After acquiring data science and AI skills from MIT, Jospin Hassan shared them with his community in the Dzaleka Refugee Camp in Malawi and built pathways for talented learners.

- Putting AI into the hands of people with problems to solveby Zach Winn | MIT News on February 26, 2024 at 5:00 am
Alumni-founded Pienso has developed a user-friendly AI builder so domain experts can build solutions without writing any code.

- Automated method helps researchers quantify uncertainty in their predictionsby Adam Zewe | MIT News on February 21, 2024 at 5:00 am
An easy-to-use technique could assist everyone from economists to sports analysts.

- MIT researchers remotely map crops, field by fieldby Jennifer Chu | MIT News on February 15, 2024 at 5:00 am
The team used machine learning to analyze satellite and roadside images of areas where small farms predominate and agricultural data are sparse.

- Study: Global deforestation leads to more mercury pollutionby Adam Zewe | MIT News on February 12, 2024 at 5:00 am
Scientists quantify a previously overlooked driver of human-related mercury emissions.

- Six MIT students selected as spring 2024 MIT-Pillar AI Collective Fellowsby School of Engineering on February 6, 2024 at 9:50 pm
The graduate students will aim to commercialize innovations in AI, machine learning, and data science.

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

- Hypergeometric Functions: From Euler to Appell and Beyondby Tigran Ishkhanyan on January 25, 2024 at 5:35 pm
Hypergeometric series appeared in the mid-seventeenth century; since then, they have played an important role in the development of mathematical and physical theories. Most of the elementary and special functions are members of the large hypergeometric class. Hypergeometric functions have been a part of Wolfram Language since Version 1.0. The following plot shows the implementation

- Get Down to Business with Finite Mathematics in Wolfram Languageby John McNally on December 22, 2023 at 3:41 pm
“There is every reason to expect that the various social sciences will serve as incentives for the development of great new branches of mathematics and that some day the theoretical social scientist will have to know more mathematics than the physicist needs to know today.” —John G. Kemeny, first author of the original textbook on

- Don’t Be Discreet and Learn Discrete Mathematics with Wolfram Languageby Marc Vicuna on November 29, 2023 at 6:00 pm
“The spread of computers and the internet will put jobs in two categories. People who tell computers what to do, and people who are told by computers what to do.” — Marc Andreessen, inventor of the Netscape browser How is data organized in databases? Why are some computer programs faster than others? How can algorithms

- Learn Multivariable Calculus through Incredible Visualizations with Wolfram Languageby Tim McDevitt on November 6, 2023 at 3:57 pm
Multivariable calculus extends calculus concepts to functions of several variables and is an essential tool for modeling and regression analysis in economics, engineering, data science and other fields. Learning multivariable calculus is also the first step toward advanced calculus and follows single-variable calculus courses. Wolfram Language provides world-class functionality for the computation and visualization of

- Expand Your Understanding of Statistics with Wolfram Languageby Jamie Peterson on June 6, 2023 at 4:27 pm
Statistics is the mathematical discipline dealing with all stages of data analysis, from question design and data collection to analyzing and presenting results. It is an important field for analyzing and understanding data from scientific research and industry. Data-driven decisions are a critical part of modern business, allowing companies to use data and computational analyses

- 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