#mathstodon — Public Fediverse posts

Problem for May 14th from the 2026 AMS Daily Epsilon of Math Calendar

@DailyEpsilon

#math #maths #mathematics #mathstodon

Problem for May 13th from the 2026 AMS Daily Epsilon of Math Calendar

@DailyEpsilon

#math #maths #mathematics #mathstodon

Where could I find something like a collection of interesting graphs? There would be fully-connected graphs, grids, binary trees, etc., maybe parametric graphs too?

I think what I am mostly looking for, more than a collection, is a kind of zoology, or "periodic table", with some kind of structure. There would be the fully connected graphs on one side, on the other side I guess vertices with no edges, on another side maybe a fully linear graph (1D), extending to ND, etc.

#TCS #graphs #mathstodon

@ZachWeinersmith does it work if I add hashtags to a reply? I have a feeling a lot of people will enjoy your work who follow hashtags like #math #maths #mathematics #mathematicians #numbers #equation #mathstodon

Hi #Mathstodon - a #GraphTheory question:
Given the following visual set containment, I can obtain the total containment of every item as a list (text on the left). This intuitively seems sufficient information to derive the containment graph (almost a tree - n7 breaks that).
Are there any 'standard' techniques to apply to this?

Boosts, partial ideas, discussion all welcome.
#Higraph

Please #help #MathstodonHelp ! --

Why does my recent
https://mathstodon.xyz/@MisterRelativity/115981301450130598

(Jan 30, 2026, 01:50 AM, Last edited Jan 30, 02:01 AM)

not show up in the "Live feeds" https://mathstodon.xyz/public/local
??

What do I have to set/do ??

Thanks!

#Mathstodon #LiveFeed #LiveFeeds

AI solves Erdos problem #728 (Terence Tao mathstodon post)

https://mathstodon.xyz/@tao/115855840223258103

#HackerNews #AI #Erdos #Problem #Terence #Tao #Mathstodon #Innovation

RE: https://mathstodon.xyz/@dingc/115519958814160502

This is nice: With https://phanpy.social, one can now display mathematical formulas that were written with the #MathJax extension of https://mathstodon.xyz. So it is now possible for people with accounts on other servers to read complex mathematics correctly.

One can also enter mathematical formulas on Phanpy, but the automatic display of the incomplete formula while it is typed is of course not (yet?) implemented.
\[ \sum_{n = 0}^\infty \frac1{n^3} \neq \frac{p}{q} \]

#Phanpy #Mathstodon #Mathematics

Or if you want to think rather than be confused: This is marvelous. Explaining things I didn't understand even conceptually in Uni:
https://youtu.be/-j8PzkZ70Lg
#3b1b #Mathstodon

I follow Terrence Tao. @tao

He has things to say about #maths that I can
Almost
pretend to understand.
(Ah no, not really)(#sortof)

And he's branching out into things to say about the world and, because he's nice and because he comes at it from an odd angle, the things to say that he says are always interesting.

Also #mathstodon.xyz is a very fine instance.

https://mathstodon.xyz/@tao/115259943398316677

🚨BREAKING: Math Genius Discovers Earth Not Flat, Small Orgs Actually Small🤔💡! Terence Tao drops monumental revelation on #Mathstodon, apparently a social network for people who think Twitter's too mainstream📈. JavaScript warning: can’t read his mind without it! 😂
https://mathstodon.xyz/@tao/115259943398316677 #MathGenius #EarthNotFlat #TerenceTao #SocialMedia #HackerNews #ngated

🚨BREAKING: Math Genius Discovers Earth Not Flat, Small Orgs Actually Small🤔💡! Terence Tao drops monumental revelation on #Mathstodon, apparently a social network for people who think Twitter's too mainstream📈. JavaScript warning: can’t read his mind without it! 😂
https://mathstodon.xyz/@tao/115259943398316677 #MathGenius #EarthNotFlat #TerenceTao #SocialMedia #HackerNews #ngated

🚨BREAKING: Math Genius Discovers Earth Not Flat, Small Orgs Actually Small🤔💡! Terence Tao drops monumental revelation on #Mathstodon, apparently a social network for people who think Twitter's too mainstream📈. JavaScript warning: can’t read his mind without it! 😂
https://mathstodon.xyz/@tao/115259943398316677 #MathGenius #EarthNotFlat #TerenceTao #SocialMedia #HackerNews #ngated

🚨BREAKING: Math Genius Discovers Earth Not Flat, Small Orgs Actually Small🤔💡! Terence Tao drops monumental revelation on #Mathstodon, apparently a social network for people who think Twitter's too mainstream📈. JavaScript warning: can’t read his mind without it! 😂
https://mathstodon.xyz/@tao/115259943398316677 #MathGenius #EarthNotFlat #TerenceTao #SocialMedia #HackerNews #ngated

#mathstodon #graphTheory
I am working on writing a GUI for editing edge-representation #Hypergraphs Anyone played with drawing these? I have a couple of ways of approaching this, and would like to choose something useful and useable beyond just my rather narrow experience and application.

I am writing in #Python using #pyside6 and can (within reason!) make it do what is best for editing and thinking.

Any links/ references/ resources/ boosts welcome.

A new video from Matt Parker:

https://www.youtube.com/watch?v=b6S5gHjuN48

And I'm in it !!

Don't let that put you off ... the rest of it is pretty good.

What hashtags should I use?

#Maths #mathstodon #Mathematics #MathChat #MathCommunity

Logistic regression may be used for classification.

In order to preserve the convex nature for the loss function, a log-loss cost function has been designed for logistic regression. This cost function extremes at labels True and False.

The gradient for the loss function of logistic regression comes out to have the same form of terms as the gradient for the Least Squared Error.

More: https://www.baeldung.com/cs/gradient-descent-logistic-regression

#optimization #algebra #linearAlgebra #math #maths #mathematics #mathStodon #ML #dataScience #machineLearning #DeepLearning #neuralNetworks #NLP #modeling #modelling #models #dataDev #AIDev #regression #modelling #dataLearning #probabilities #logisticRegression #logLoss #sigmoid #classification #differentialCalculus #loss

Logistic regression may be used for classification.

In order to preserve the convex nature for the loss function, a log-loss cost function has been designed for logistic regression. This cost function extremes at labels True and False.

The gradient for the loss function of logistic regression comes out to have the same form of terms as the gradient for the Least Squared Error.

More: https://www.baeldung.com/cs/gradient-descent-logistic-regression

#optimization #algebra #linearAlgebra #math #maths #mathematics #mathStodon #ML #dataScience #machineLearning #DeepLearning #neuralNetworks #NLP #modeling #modelling #models #dataDev #AIDev #regression #modelling #dataLearning #probabilities #logisticRegression #logLoss #sigmoid #classification #differentialCalculus #loss

Logistic regression may be used for classification.

In order to preserve the convex nature for the loss function, a log-loss cost function has been designed for logistic regression. This cost function extremes at labels True and False.

The gradient for the loss function of logistic regression comes out to have the same form of terms as the gradient for the Least Squared Error.

More: https://www.baeldung.com/cs/gradient-descent-logistic-regression

#optimization #algebra #linearAlgebra #math #maths #mathematics #mathStodon #ML #dataScience #machineLearning #DeepLearning #neuralNetworks #NLP #modeling #modelling #models #dataDev #AIDev #regression #modelling #dataLearning #probabilities #logisticRegression #logLoss #sigmoid #classification #differentialCalculus #loss

Logistic regression may be used for classification.

In order to preserve the convex nature for the loss function, a log-loss cost function has been designed for logistic regression. This cost function extremes at labels True and False.

The gradient for the loss function of logistic regression comes out to have the same form of terms as the gradient for the Least Squared Error.

More: https://www.baeldung.com/cs/gradient-descent-logistic-regression

#optimization #algebra #linearAlgebra #math #maths #mathematics #mathStodon #ML #dataScience #machineLearning #DeepLearning #neuralNetworks #NLP #modeling #modelling #models #dataDev #AIDev #regression #modelling #dataLearning #probabilities #logisticRegression #logLoss #sigmoid #classification #differentialCalculus #loss

Logistic regression may be used for classification.

In order to preserve the convex nature for the loss function, a log-loss cost function has been designed for logistic regression. This cost function extremes at labels True and False.

The gradient for the loss function of logistic regression comes out to have the same form of terms as the gradient for the Least Squared Error.

More: https://www.baeldung.com/cs/gradient-descent-logistic-regression

#optimization #algebra #linearAlgebra #math #maths #mathematics #mathStodon #ML #dataScience #machineLearning #DeepLearning #neuralNetworks #NLP #modeling #modelling #models #dataDev #AIDev #regression #modelling #dataLearning #probabilities #logisticRegression #logLoss #sigmoid #classification #differentialCalculus #loss

tf.keras.layers.RandomRotation specifies the rotation as a fraction of 2*pi radians. Is this the work of a subversive tauist?

#math #tau #tensorflow #keras #mathstodon

@christianp

Just a thought, from a knuckle-dragging biology scientist. TL;DR: I believe there is scope to make the hosting of a peertube instance even more lightweight in the future.

I read some time ago of people using #webAssembly to transcode video in a user's web-browser. https://blog.scottlogic.com/2020/11/23/ffmpeg-webassembly.html

Since then, I believe #WebGPU has done/is doing some clever things to improve the browser's access to the device's GPU.

I have not seen any #peertube capability that offloads video transcoding to the user in this way.

I imagine, though, that this would align well with peertube's agenda of lowering the bar to entry into web-video hosting, so I cannot help but think that this will come in time.

My own interest is seeing a #Piefed (activitypub) instance whose web-pages could #autotranslate posts into the user's own language using the user's own processing power... One day, maybe!

Thank you again for all your hard work; it is an inspiration.

#mastodon #webVideo #HLS #transcoding #video #decentralization #edgeComputing #webGL #W3C #activitypub #AI #ffmpeg #selfhosted #degoogle #mathstodon

Saw this nascent #macropad for #mathematicians and thought of #mathstodon

Their slogan is "Type equations at the speed of thought with this specialized keypad".

https://www.crowdsupply.com/summa-cogni/mathpad

I'm not a mathematician, so if I've missed any hashtags out please feel free to add them by reply!

#math #maths #mathematics #computing #latex #knuth #keyboard #keyboards #typing #macropads

The Fourier Transform is a mathematical operation that transforms a function of time (or space) into a function of frequency. It decomposes a complex signal into its constituent sinusoidal components, each with a specific frequency, amplitude, and phase. This is particularly useful in many fields, such as signal processing, physics, and engineering, because it allows for analysing the frequency characteristics of signals. The Fourier Transform provides a bridge between the time and frequency domains, enabling the analysis and manipulation of signals in more intuitive and computationally efficient ways. The result of applying a Fourier Transform is often represented as a spectrum, showing how much of each frequency is present in the original signal.

\[\Large\boxed{\boxed{\widehat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,\mathrm dx, \quad \forall\xi \in \mathbb{R}.}}\]

Inverse Fourier Transform:
\[\Large\boxed{\boxed{ f(x) = \int_{-\infty}^{\infty} \widehat f(\xi)\ e^{i 2 \pi \xi x}\,\mathrm d\xi,\quad \forall x \in \mathbb R.}}\]

The equation allows us to listen to mp3s today. Digital Music Couldn’t Exist Without the Fourier Transform: http://bit.ly/22kbNfi

#Fourier #FourierTransform #Transform #Time #Frequency #Space #TimeDomain #FrequencyDomain #Wavenumber #WavenumberDomain #Function #Math #Maths #JosephFourier #Signal #Signals #FT #IFT #DFT #FFT #Physics #SignalProcessing #Engineering #Analysis #Computing #Computation #Operation #ComplexSignal #Sinusoidal #Amplitude #Phase #Spectra #Spectrum #Pustam #Raut #PustamRaut #EGR #Mathstodon #Mastodon #GeoFlow #SpectralMethod

The Fourier Transform is a mathematical operation that transforms a function of time (or space) into a function of frequency. It decomposes a complex signal into its constituent sinusoidal components, each with a specific frequency, amplitude, and phase. This is particularly useful in many fields, such as signal processing, physics, and engineering, because it allows for analysing the frequency characteristics of signals. The Fourier Transform provides a bridge between the time and frequency domains, enabling the analysis and manipulation of signals in more intuitive and computationally efficient ways. The result of applying a Fourier Transform is often represented as a spectrum, showing how much of each frequency is present in the original signal.

\[\Large\boxed{\boxed{\widehat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,\mathrm dx, \quad \forall\xi \in \mathbb{R}.}}\]

Inverse Fourier Transform:
\[\Large\boxed{\boxed{ f(x) = \int_{-\infty}^{\infty} \widehat f(\xi)\ e^{i 2 \pi \xi x}\,\mathrm d\xi,\quad \forall x \in \mathbb R.}}\]

The equation allows us to listen to mp3s today. Digital Music Couldn’t Exist Without the Fourier Transform: http://bit.ly/22kbNfi

#Fourier #FourierTransform #Transform #Time #Frequency #Space #TimeDomain #FrequencyDomain #Wavenumber #WavenumberDomain #Function #Math #Maths #JosephFourier #Signal #Signals #FT #IFT #DFT #FFT #Physics #SignalProcessing #Engineering #Analysis #Computing #Computation #Operation #ComplexSignal #Sinusoidal #Amplitude #Phase #Spectra #Spectrum #Pustam #Raut #PustamRaut #EGR #Mathstodon #Mastodon #GeoFlow #SpectralMethod

The Fourier Transform is a mathematical operation that transforms a function of time (or space) into a function of frequency. It decomposes a complex signal into its constituent sinusoidal components, each with a specific frequency, amplitude, and phase. This is particularly useful in many fields, such as signal processing, physics, and engineering, because it allows for analysing the frequency characteristics of signals. The Fourier Transform provides a bridge between the time and frequency domains, enabling the analysis and manipulation of signals in more intuitive and computationally efficient ways. The result of applying a Fourier Transform is often represented as a spectrum, showing how much of each frequency is present in the original signal.

\[\Large\boxed{\boxed{\widehat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,\mathrm dx, \quad \forall\xi \in \mathbb{R}.}}\]

Inverse Fourier Transform:
\[\Large\boxed{\boxed{ f(x) = \int_{-\infty}^{\infty} \widehat f(\xi)\ e^{i 2 \pi \xi x}\,\mathrm d\xi,\quad \forall x \in \mathbb R.}}\]

The equation allows us to listen to mp3s today. Digital Music Couldn’t Exist Without the Fourier Transform: http://bit.ly/22kbNfi

#Fourier #FourierTransform #Transform #Time #Frequency #Space #TimeDomain #FrequencyDomain #Wavenumber #WavenumberDomain #Function #Math #Maths #JosephFourier #Signal #Signals #FT #IFT #DFT #FFT #Physics #SignalProcessing #Engineering #Analysis #Computing #Computation #Operation #ComplexSignal #Sinusoidal #Amplitude #Phase #Spectra #Spectrum #Pustam #Raut #PustamRaut #EGR #Mathstodon #Mastodon #GeoFlow #SpectralMethod

The Fourier Transform is a mathematical operation that transforms a function of time (or space) into a function of frequency. It decomposes a complex signal into its constituent sinusoidal components, each with a specific frequency, amplitude, and phase. This is particularly useful in many fields, such as signal processing, physics, and engineering, because it allows for analysing the frequency characteristics of signals. The Fourier Transform provides a bridge between the time and frequency domains, enabling the analysis and manipulation of signals in more intuitive and computationally efficient ways. The result of applying a Fourier Transform is often represented as a spectrum, showing how much of each frequency is present in the original signal.

\[\Large\boxed{\boxed{\widehat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,\mathrm dx, \quad \forall\xi \in \mathbb{R}.}}\]

Inverse Fourier Transform:
\[\Large\boxed{\boxed{ f(x) = \int_{-\infty}^{\infty} \widehat f(\xi)\ e^{i 2 \pi \xi x}\,\mathrm d\xi,\quad \forall x \in \mathbb R.}}\]

The equation allows us to listen to mp3s today. Digital Music Couldn’t Exist Without the Fourier Transform: http://bit.ly/22kbNfi

#Fourier #FourierTransform #Transform #Time #Frequency #Space #TimeDomain #FrequencyDomain #Wavenumber #WavenumberDomain #Function #Math #Maths #JosephFourier #Signal #Signals #FT #IFT #DFT #FFT #Physics #SignalProcessing #Engineering #Analysis #Computing #Computation #Operation #ComplexSignal #Sinusoidal #Amplitude #Phase #Spectra #Spectrum #Pustam #Raut #PustamRaut #EGR #Mathstodon #Mastodon #GeoFlow #SpectralMethod

Yes it is 3.14! Happy Pi Day! 🎉 🥳

#Maths #Pi #Numbers #MathIsFun #STEM #PiDay #HappyPiDay #March14 #March14th #Mathstodon

For all Transf ∈ ℝn×n, the matrix is invertible if and only if rank(Transf) = n

The #determinant exists if and only if the transformation matrix is square.
The determinant in a linear transformation is the (signed) area of the image of the fundamental basis formed by the unit square.

#algebra #matrices #tutorial #determinants #singularity #math #maths #mathematics #mathStodon #ML #machineLearning #systems

#Algebra thread 🧵

Which #matrices have an inverse?
Singular matrices never have an inverse.
When we look at the determinant, the determinant is non-zero for invertible matrices in the same way that non-zero numbers have an inverse.
Non-zero determinants mean that the matrices has an inverse, and a zero determinant means that the system (of sentences, of graphs) is singular.

#tutorial #learning #determinants #singularity #math #maths #mathematics #mathStodon #ML #machineLearning #systems

Data returned by an observation typically is represented as a vector in machine learning.

A neural network can be seen as a large collection of linear models. We may represent the inputs and outputs of each layer as vectors, matrices, and tensors (which are like higher dimensional matrices).

#algebra #linearAlgebra #vectors #matrices #determinants #singularity #ML #DataScience #math #maths #mathematics #mathStodon #ML #data #dataDon #dataScience #machineLearning #DeepLearning #neuralNetworks

Linear algebra (continued)

Which of the below operations, when applied to the rows of a matrix, keeps the #singularity (or non-singularity) of the matrix?:
(Hint: It works the same as a system of linear equations.)

#learning #algebra #systems #matrices #determinants #singularity #data #ML #DataScience #math #maths #mathematics #mathStodon #tutorial #poll #exercise #exercice #puzzle #calculus

#mathstodon #mathematicalRecreation #openQuestion

Shower thought from the other day: Is there a generalized continued fraction (https://en.wikipedia.org/wiki/Generalized_continued_fraction) with partial numerators and denominators b0,a1,b1,a2,b2,… (all positive integers)

such that the decimal number it represents is b0.a1b1a2b2a3b3… (concatenation of all the constants)?

Is there a finite one? Are there any? ¯\_(ツ)_/¯

I got properly #NerdSniped last night thinking about how to create #shapes.

A circle is easy and has a defined #circularity (1) and #AspectRatio (1), but how do you create a set of shapes with given values for these properties?

An ellipse seems like a decent "base" shape to start with but then calculating the perimeter is not as trivial as I thought it would be.

Here is the question that started it if anyone is interested in chiming in:
https://forum.image.sc/t/free-shape-generator-based-on-the-obtained-data/96113?u=dnmason
#Maths #Geometry #Mathstodon

@christianp Sorry for the scary email; apparently it's a browser issue! *Firefox* hangs for hours or more at what appears to me to be the stage of loading it normally hangs at when a web server doesn't respond, so I thought it was a network issue. But Chromium loads mathstodon.xyz fine as you can tell by my posting this on it!

Let me know if you or some dev wants to debug it together for other users, but for me, I'm fine now and I can use the site again :>

#Mathstodon #TechnicalIssues

#PhotOctober
Day 17, Prime Number

Day 17, photographed on day 17. Slow uploading because I had no idea what a prime number was, and when I looked it up I was none the wiser, but needed to lie down in a dark room to recover. The only thing I remember is that 11 is the controversial one, with much debate over whether it is a prime number or a composite. And I do like the rebels of any galaxy. But just in case I also present 2, 3, 5, 7 and 11

#PrimeNumber #Mathstodon #Number #clock #photography

Some useful inequalities:

1. Cauchy–Schwarz inequality

\[\displaystyle\sum_{k=1}^na_kb_k\leq\sqrt{\sum_{k=1}^na_k^2}\sqrt{\sum_{k=1}^nb_k^2}\]

2. Hölder's inequality

\[\displaystyle\sum_{k=1}^n\left|a_kb_k\right|\leq\left(\sum_{k=1}^n|a_k|^p\right)^{1/p}\left(\sum_{k=1}^n|b_k|^q\right)^{1/q}\]

3. Minkowski's inequality

\[\displaystyle\left(\sum_{k=1}^n\left|a_k+b_k\right|^p\right)^{1/p}\leq\left(\sum_{k=1}^n|a_k|^p\right)^{1/p}+\left(\sum_{k=1}^n|b_k|^p\right)^{1/p}\]

4. Hardy's inequality

\[\displaystyle\sum_{k=1}^\infty\left(\dfrac{a_1+a_2+\cdots+a_k}{k}\right)^p\leq\left(\dfrac{p}{p-1}\right)^p\sum_{k=1}^\infty a_k^p\]

#Inequality #Cauchy #Schwarz #Hölder #Minkowski #Hardy #Maths #Mathstodon #Mastodon #Mathematics

There is this really awesome series on YouTube about the Riemann-Zeta function which is currently running and seems to want to explain all the mathematic objects related to it properly it would be awesome if you could show the video series some love while it's running. https://youtu.be/4bzSFNCiKrk
#mathematics #mathstodon #primenumbers #riemann #zetafunction

@Miriamm Has anyone from the mathsy Fediverse been able to see the proof yet? Does it hold up? #mathstodon #mathtodon #pythagoras

#Wolfram has a great webpage collection on conic sections.

#ConicSections
#Mathstodon

https://mathworld.wolfram.com/topics/ConicSections.html

Shout out to #mathstodon to say hello. I majored in math at #ReedCollege, decades ago now but I do try to keep up now and then. My undergrad thesis was on #KnotTheory (#algebraic #topology). My father was an applied mathematician in aerospace. These days I make a living as a software architect and it is the rare and joyous day when I get to use any bit of math.

Hello #mathstodon, it’s great to be here! Hard to #introduce myself in 500 chars but here we go:

I currently work as an #SRE where I enjoy automating my job. I’ve also studied electron #optics at one of the world’s largest #laser facilities, built robotic tools for the #Apple #FaceID team, and written firmware for #autonomouscar #radar sensors.

I’m passionate about #combinatorics , #gametheory , and #numbertheory.

In my spare moments you can find me #composing #music, #hiking, and #reading.

#introduction
Hi, I'm Peter - by day I'm a #Sciartist, developing different types of #Science and #Art #Visualizations using #GameEngines #Fulldome #XR. I have a PhD in #ComputationalGeophysics, specialising in #DataVisualization, and another in #Semiotics and #ArtHistory. I'm fascinated by #Antarctica #Wilderness #DigitalHeritage and worried about #ClimateChange, so I try and make work that explores these to aid understanding. I've made #Fulldome movies about #DarkMatter and #AboriginalSonglines, and experiment with novel types of #ImmersiveMedia and #HCI for #Museum and #GLAM applications. By night my magpie interests range across #Astrodon to #ml and #CognitiveNeuroscience, #Mathstodon #Consilience #Literature #Philosophy - I read a lot. When I have a free moment, I'm trying to builld an #OffGrid home. Well OK, #shack :)
I'll approve follows if I can get an idea of who you are from your #introduction. I'd like friendly polite quality in my feed, not random quantity. That seems to be one of the best things about #mastodon! #lists!