itpmblog wrote a new post, Intro to Visualizing Topology: Quotient, on the site ITPM Blog 3 weeks, 5 days ago

In topology we often think about what things look like. But fundamentally, these are mathematical objects and the jump to visualization is not trivial.

We often think in topology of gluing two different points […]

itpmblog wrote a new post, Topology & Calculus, on the site ITPM Blog 4 weeks ago

If one is familiar with line integrals from calculus, one may have encountered vocabulary used in theorems to describe regions such as **open** and **closed**, **connected** , and **simply connected**. These all […]

itpmblog wrote a new post, (Mathematically) Making a 2×2 Rubik’s Cube, on the site ITPM Blog 2 months ago

Almost everyone has, at some point, played with the deceptively simple puzzle that is a Rubik’s cube. Even before studying pure maths, we had heard about the idea of Group Theory through an interest in Rubik’s Cub […]

itpmblog wrote a new post, 关于我们, on the site ITPM Blog 2 months ago

Chúng tôi là sinh viên năm thứ mười hai ở trường học viên quốc gia quận Morris. Chúng tôi học toán thuần túy. Brendan Halstead là thày giáo của chúng tôi.

itpmblog wrote a new post, Universal Property: How can we define mathematical objects?, on the site ITPM Blog 2 months, 2 weeks ago

In algebra we are interested in thinking about objects. Objects can be many things including numbers, sets, and many more complicated constructions. Category theory is a powerful tool which analyzes these objects […]

itpmblog wrote a new post, Bigger Infinities Than Infinity, on the site ITPM Blog 2 months, 3 weeks ago

Can you get a room in an infinitely large, yet fully booked, hotel? There are a lot of rooms to count in Hilbert’s Grand Hotel, an infinite number of them to be exact. A common understanding of infinity is that i […]

kasrastanimaths wrote a new post, Category Theory for the Mathematically Inclined Person(10/7/21), on the site Kasrastani Maths 3 months ago

::: titlepage

![image](dark green background.png){width=”paperwidth”

height=”paperheight”}; […]rmehta wrote a new post, UPDATE, on the site My deep dive into Algebraic Geometry 5 months ago

I’ve decided to migrate the content of the blog [here](https://rmehtany.github.io/notes/AlgebraicGeometry/) as I wasn’t particularly happy with the styling and features of the site. Be sure to check it out!

huzaifa03 wrote a new post, Basic Special Functions, on the site MATHEMATICS CLASS XI 2021 5 months, 3 weeks ago

Basic Special Functions are Absolute Value Function, Signum Function, Floor and Ceiling Functions, Fractional Part Function and Integer Function.

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hline text { notation } & […]huzaifa03 created the site MATHEMATICS CLASS XI 2021 6 months ago

EtAlS's profile was updated 6 months, 1 week ago

rmehta commented on the post, Universal Properties, on the site My deep dive into Algebraic Geometry 6 months, 2 weeks ago

For some reason, this post is bugged, and the last few bullets aren’t rendering correctly, so I’m going to make a new post with examples of adjoints and other universal properties.

bvkarthik wrote a new post, Points where a sequence accumulates, on the site Another Math Blog 6 months, 2 weeks ago

Let $ (x_n) $ be a sequence of reals.

$ p in mathbb{R} $ is an accumulation point of the sequence if for every $ epsilon > 0 $, $ x_n $ lies in $ (p-epsilon, p+epsilon) $ for infinitely many $ n $ […]

bvkarthik wrote a new post, Equivalence Relations, on the site Another Math Blog 6 months, 2 weeks ago

Let $ S $ be a set. Recall a partition of $ S $ is a collection of non-empty pairwise disjoint subsets with union $ S$.

Any partition $ P $ of $ S$ gives a relation $a sim_P b stackrel{text{def}}{iff} ( a, […]

C. Ding wrote a new post, A net version of dominated convergence theorem, on the site C. Ding's blog 6 months, 3 weeks ago

::: {.lemma}

**Lemma 1**. *Suppose $E$ is a Riesz space, $F$ is an order ideal of $E$

and $(f_i)_{iin I}$ is a net in $F$. Then $f_i$ converges (in order) to

an element $f$ in $F$ iff and only if $f_i$ […]anantha wrote a new post, Welcome!, on the site Infinity 7 months, 1 week ago

Welcome to the blog Infinity!

soupless wrote a new post, Solving Antiderivative of a Function using Table of Integrals, on the site notes 8 months ago

Before anything else, we will start with definitions.

– **Antiderivative**

> Given a well-defined function $f$ on an interval $[a,b]$, the antiderivative of $f$, which we denote as $F$, is also a function […]kasrastanimaths wrote a new post, Introducing Homeomorphisms with a meme, on the site Kasrastani Maths 10 months ago

# Notes

This was a beamer slideshow that [badly] converted into a more text like format. This was also meant for a “maths talk” I did on how to introduce homeomorphisms in a more interesting way.

# […]

kasrastanimaths wrote a new post, Point Set Topology Notes:Defining the Topology and Basis, on the site Kasrastani Maths 10 months ago

# Initial Notes

These notes were also written in December 2020 just as I started to figure out how to use $LaTeX$, and started to write things related to math. This was actually used in a Youtube video I […]

kasrastanimaths wrote a new post, Prime:Factorization and Uniqueness of Factorization, on the site Kasrastani Maths 10 months ago

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