Number News

Art in Number image: Black Ice, Creative Commons, Pexels.com

Is there art in number?

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

  • Math Homework Help: A Guide to the Best AI Math Solver of 2025
    by Casey Allen on December 1, 2024 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 2025 first appeared on SquareCirclez. Related posts: 5 Best Free Math Problem Solvers Math problems allow students to learn new concepts and strengthen... My dilemma - ethical math help Is there a difference between paying someone to do... Buyer’s Guide: TI-84 Graphing Calculator Math classes can be daunting. From a young age, I... Curriculum Webs - more homework needed "Weaving the Web into Teaching and Learning" Cunningham, C and...

  • 5 Best Free Math Problem Solvers
    by 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 Tutor
    by 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

  • Maximising the volume of a paraboloid with a fixed surface area
    by Springfishtears on April 3, 2025 at 3:24 am

    I would really appreciate if somebody helped with a question I made. Aim I am trying to compare 2 different shapes : a cone and a paraboloid. These are supposed to be the shapes of 2 potential ice cream holders, so the paraboloid's function that creates its curve should be an even function with a power of at least 4. (so that the waffle bowl can actually lay sort of flat on a surface) The aim is to maximise the volume of both shapes with the constraint of a fixed surface area of 100π. Struggle I have not attempted yet with the cone but it seems doable. The main problem here is the paraboloid - I realised it's going to be really complex to figure this out. Problem: I realised I don't actually have the function of the parabola shape because that's what I'm actually looking for. So how am I supposed to do volumes and surface area of revolution without it??? Here is the overview of the question and what I've done so far (don't roast me I've never done multivariable calculus before) Overview of the question Working out for representing the volume of the paraboloid

  • Perturb the metric and estimate the distance
    by HeroZhang001 on April 3, 2025 at 3:22 am

    I encountered the following passage while studying Riemannian geometry: In general, $d^{2}\left(p_{0}, p_{1}\right)$ is the minimum over $\gamma$ of the energy $$E(\gamma)=\int_{0}^{1} g_{i j} \frac{d \gamma^{i}}{d t} \frac{d \gamma^{j}}{d t} d t$$ where $\gamma:[0,1] \rightarrow M$ has $\gamma(0)=p_{0}$ and $\gamma(1)=p_{1}$. If $ \gamma $ is a unique minimizer and we perturb the metric by $ \delta g $, then to leading order, the squared distance changes by $$\delta d^{2}\left(p_{0}, p_{1}\right)=\int_{0}^{1} \delta g_{i j} \frac{d \gamma^{i}}{d t} \frac{d \gamma^{j}}{d t} d t.$$ I know the first claim is from Schwarz inequality. For the second claim, when the metric becomes $g+\delta g$, the energy becomes $$\tilde E(\gamma) = \int_{0}^{1} (g_{ij} + \delta g_{ij}) \frac{d\gamma^i}{dt} \frac{d\gamma^j}{dt} dt = E(\gamma) + \delta E(\gamma),$$ Denote by $\tilde\gamma$ the minimal geodesic after perturbing, then $$\tilde d^2(p_0, p_1) = \min_{\sigma}\tilde E(\sigma) =\tilde E(\tilde\gamma).$$ We have \begin{align*} \tilde d^2(p_0, p_1) &= \tilde E(\tilde\gamma) \\ &= E(\tilde\gamma) + \delta E(\tilde\gamma) \\ &= E(\gamma) + \delta E(\gamma) + ~?\\ &= d^2(p_0, p_1) + \int_{0}^{1} \delta g_{i j} \frac{d \gamma^{i}}{d t} \frac{d \gamma^{j}}{d t} d t + ~?. \end{align*} Therefore we have $$\delta d^{2}\left(p_{0}, p_{1}\right)=\tilde d^2(p_0, p_1)-d^2(p_0, p_1)=\int_{0}^{1} \delta g_{i j} \frac{d \gamma^{i}}{d t} \frac{d \gamma^{j}}{d t} d t + ~?.$$ But I'm not familiar with calculus of variations. I don't know what to write in the "?". How to expand $E(\tilde\gamma) + \delta E(\tilde\gamma)$ into the form of $E(\gamma) + \delta E(\gamma) + ~?$. Any help would be appreciated!

  • How to find all the units in $J[i]$ and $F[x]$
    by Choure Aniket on April 3, 2025 at 3:13 am

    How to find all the units in $J[i]$ and $F[x]$ where $J$ is set of integers.

  • A question about controlling a certain difference involving norms
    by logarithm on April 3, 2025 at 2:51 am

    If $x,y\in \mathbb{R}^{d}$ with $|x|>\frac{\epsilon |y|}{2}$, and $0<\sigma<min\{2,\frac{d}{2}\}$. I want to find an upper bound for the following quantity $\left|\frac{1}{|x+y|^{\sigma}}-\frac{1}{|y|^{\sigma}}\right|$. I tried to do the following calculations \begin{align} \left|\frac{1}{|x+y|^{\sigma}}-\frac{1}{|y|^{\sigma}}\right|&=\left|\int_{0}^{1}\frac{d}{d\theta}\frac{1}{|\theta x+y|^{\sigma}}d\theta\right|\\ &\leq\left|\int_{0}^{1}\frac{-\sigma|x|}{|y+\theta x|^{\sigma+1}}\right|. \end{align} I've used that $\left|y+\theta x|\geq |\theta |x|-|y| \right|>\left||x|\left(1-\frac{2}{\epsilon}\right)\right|$ to then invert. However, I have been told that this last inequality is not true. I think it has problems for values ​​close to the origin. Could you give me a suggestion?

  • How can I solve analytically a system of two linear first order ODE in two unknown variables, if possible?
    by Zoe Blake on April 3, 2025 at 2:49 am

    I am interested to know what is the analytical solution of this simple system of ODEs \begin{align} &c_1 x_1 + c_2 x_2 + c_3 x_1' + c_4 x_2' + c_5 = 0 \\ &k_1 x_1 + k_2 x_2 + k_3 x_1' + k_4 x_2' + k_5 = 0 \end{align} where the $c$s and $k$s are arbitrary constants. I have no idea or clue what to do to deal with it, and I even thought it is impossible, but I wanted to make sure is this system solvable? If yes, what are the approaches I can use? Thank you very much.


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


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.


    Oh Dear! Our feed will be back shortly...

    Oh dear| Our feed will be back shortly...

Mathematics – Wolfram Blog News, Views and Insights from Wolfram

  • What’s Up with Daylight Saving Time? A Brief History and Analysis with Wolfram Language
    by Nick Lariviere on March 5, 2025 at 5:12 pm

    In the next few days, most people in the United States, Canada, Cuba, Haiti and some parts of Mexico will be transitioning from “standard” (or winter) time to “daylight” (or summer) time. This semiannual tradition has been the source of desynchronized alarm clocks, missed appointments and headaches for parents trying to get kids to bed at the right time since 1908, but why exactly do we fiddle with the clocks two times a year?

  • A Whole New Ball Game: Game Theory in Wolfram Language 14.2
    by Marc Vicuna on February 25, 2025 at 6:17 pm

    Do you want to make optimal decisions against competition? Do you want to analyze competitive contexts and predict outcomes of competitive events? Do you need to elaborate strategies and plans against adversity and test the effectiveness of those strategies? Or are you simply an undergraduate student struggling to cope with a required course on game

  • Master the Basics of Laplace Transforms in Just 15 Lessons with Wolfram Language
    by Juan Ortiz on February 5, 2025 at 8:30 pm

    The Laplace transform provides effective and easy means for solving many problems that arise in the fields of science and engineering. It is one of the main tools available for solving differential equations. For most of us, the first time we see it is in an introductory differential equations course. Wolfram Language provides an ideal

  • Learn Complex Analysis Today with Wolfram Language
    by Marco Saragnese on October 15, 2024 at 3:44 pm

    Complex analysis is a versatile tool that is used extensively in science, engineering and other fields. It is also a beautiful topic in and of itself. Hence, a course in complex analysis is a standard part of the curriculum for physics and engineering students and a stepping stone for more advanced topics in mathematics. Wolfram

  • Hypergeometric Functions: From Euler to Appell and Beyond
    by 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 Language
    by 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 Language
    by 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 Language
    by 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 Language
    by 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


Why not visit our other site pages whilst you're here...

Latest Blogs

Lorem ipsum dolor sit ame sed do eiusmod tempor incididunt ut labore et dolore

May 2, 2023

Digital learning in museums? A European view…

Welcome to this informative booklet on Digital Learning and Education in Museums! This report, created …

Nov 23, 2020

Four misconceptions about art education?

An article from our archive for the New Year… Are you interested in exploring art …

Dec 15, 2022

Powering through the econo-cultural blizzard. Happy Christmas!

Happy Christmas break from the publishing team at conversationsEAST – remaining resilient, generous of spirit …