toad.social

Jason WeatherlyAnother nerd snipe, but this one was out of spite. Every now and again I come across a YouTube video that shows a simple algebra problem with a tagline that implies it's impossible. Today's was just a simple equation, just had to solve for 'x'.``` 4^x * 4^x * 4^x = 40 ```So, broke out a bit of paper and Ye Olde Fountain Pen, solved for 'x', then couldn't find the video that made it seem like the solution was special or extremely difficult which annoyed me further. Still enjoyed solving it even if putting everything into LaTeX took longer than the initial solve.<a href="https://social.linux.pizza/tags/nerdsnipe" class="mention hashtag" rel="nofollow noopener" target="_blank">#nerdsnipe</a> <a href="https://social.linux.pizza/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://social.linux.pizza/tags/algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#algebra</a>

Eric MaugendreLogistic 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: <a href="https://www.baeldung.com/cs/gradient-descent-logistic-regression" rel="nofollow noopener" translate="no" target="_blank">https://www.baeldung.com/cs/gradient-descent-logistic-regression</a><a href="https://hachyderm.io/tags/optimization" class="mention hashtag" rel="nofollow noopener" target="_blank">#optimization</a> <a href="https://hachyderm.io/tags/algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#algebra</a> <a href="https://hachyderm.io/tags/linearAlgebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#linearAlgebra</a> <a href="https://hachyderm.io/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://hachyderm.io/tags/maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#maths</a> <a href="https://hachyderm.io/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathematics</a> <a href="https://hachyderm.io/tags/mathStodon" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathStodon</a> <a href="https://hachyderm.io/tags/ML" class="mention hashtag" rel="nofollow noopener" target="_blank">#ML</a> <a href="https://hachyderm.io/tags/dataScience" class="mention hashtag" rel="nofollow noopener" target="_blank">#dataScience</a> <a href="https://hachyderm.io/tags/machineLearning" class="mention hashtag" rel="nofollow noopener" target="_blank">#machineLearning</a> <a href="https://hachyderm.io/tags/DeepLearning" class="mention hashtag" rel="nofollow noopener" target="_blank">#DeepLearning</a> <a href="https://hachyderm.io/tags/neuralNetworks" class="mention hashtag" rel="nofollow noopener" target="_blank">#neuralNetworks</a> <a href="https://hachyderm.io/tags/NLP" class="mention hashtag" rel="nofollow noopener" target="_blank">#NLP</a> <a href="https://hachyderm.io/tags/modeling" class="mention hashtag" rel="nofollow noopener" target="_blank">#modeling</a> <a href="https://hachyderm.io/tags/modelling" class="mention hashtag" rel="nofollow noopener" target="_blank">#modelling</a> <a href="https://hachyderm.io/tags/models" class="mention hashtag" rel="nofollow noopener" target="_blank">#models</a> <a href="https://hachyderm.io/tags/dataDev" class="mention hashtag" rel="nofollow noopener" target="_blank">#dataDev</a> <a href="https://hachyderm.io/tags/AIDev" class="mention hashtag" rel="nofollow noopener" target="_blank">#AIDev</a> <a href="https://hachyderm.io/tags/regression" class="mention hashtag" rel="nofollow noopener" target="_blank">#regression</a> <a href="https://hachyderm.io/tags/modelling" class="mention hashtag" rel="nofollow noopener" target="_blank">#modelling</a> <a href="https://hachyderm.io/tags/dataLearning" class="mention hashtag" rel="nofollow noopener" target="_blank">#dataLearning</a> <a href="https://hachyderm.io/tags/probabilities" class="mention hashtag" rel="nofollow noopener" target="_blank">#probabilities</a> <a href="https://hachyderm.io/tags/logisticRegression" class="mention hashtag" rel="nofollow noopener" target="_blank">#logisticRegression</a> <a href="https://hachyderm.io/tags/logLoss" class="mention hashtag" rel="nofollow noopener" target="_blank">#logLoss</a> <a href="https://hachyderm.io/tags/sigmoid" class="mention hashtag" rel="nofollow noopener" target="_blank">#sigmoid</a> <a href="https://hachyderm.io/tags/classification" class="mention hashtag" rel="nofollow noopener" target="_blank">#classification</a> <a href="https://hachyderm.io/tags/differentialCalculus" class="mention hashtag" rel="nofollow noopener" target="_blank">#differentialCalculus</a> <a href="https://hachyderm.io/tags/loss" class="mention hashtag" rel="nofollow noopener" target="_blank">#loss</a>

Joshua GrochowJust read an email subject line "Free group fitness classes" and I was like "ooh, what's the 'fitness' of a free group?" <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://mathstodon.xyz/tags/algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#algebra</a>

Your Future Ex ClippyFor <a href="https://metalhead.club/@derthomas" class="u-url mention" rel="nofollow noopener" target="_blank">@derthomas</a>' <a href="https://metalhead.club/tags/ThrashThursday" class="mention hashtag" rel="nofollow noopener" target="_blank">#ThrashThursday</a>:<a href="https://metalhead.club/tags/Paralysis" class="mention hashtag" rel="nofollow noopener" target="_blank">#Paralysis</a>: Spiral of Suffering<a href="https://album.link/i/1812704629" rel="nofollow noopener" translate="no" target="_blank">https://album.link/i/1812704629</a><a href="https://metalhead.club/tags/GussWhatItsThrashMetalDuh" class="mention hashtag" rel="nofollow noopener" target="_blank">#GussWhatItsThrashMetalDuh</a>FFO <a href="https://metalhead.club/tags/Algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#Algebra</a> <a href="https://metalhead.club/tags/HighCommand" class="mention hashtag" rel="nofollow noopener" target="_blank">#HighCommand</a> <a href="https://metalhead.club/tags/StressTest" class="mention hashtag" rel="nofollow noopener" target="_blank">#StressTest</a>

I ForgetIn theory most instruments look like a pile of integer harmonics through a filter, right? And chords are consonant when parts play in small integer ratios—harmonics of some shared lower chord root. In some sense chord harmonics form a subset of the rationals.12edo tempers out intervals to 2^{1/12} semitones. So do we get anything musically if we analyze ed harmonies as subsets of field extensions, like Q(2^{1/12}) for 12edo?How do different field extensions *sound*?<a href="https://signs.codes/tags/microtonal" class="mention hashtag" rel="nofollow noopener" target="_blank">#microtonal</a> <a href="https://signs.codes/tags/algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#algebra</a>

Sci-books.comA New Branch of Mathematics: The Ausdehnungslehre of 1844 and Other Works by Hermann Grassmann (PDF) Author: Hermann Grassmann File Type: PDF Download at <a href="https://sci-books.com/a-new-branch-of-mathematics-the-ausdehnungslehre-of-1844-and-other-works-0812692764/" rel="nofollow noopener" translate="no" target="_blank">https://sci-books.com/a-new-branch-of-mathematics-the-ausdehnungslehre-of-1844-and-other-works-0812692764/</a> <a href="https://mastodon.social/tags/Algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#Algebra</a>, <a href="https://mastodon.social/tags/HermannGrassmann" class="mention hashtag" rel="nofollow noopener" target="_blank">#HermannGrassmann</a>

Stuff I foundAdmittedly though, I am a bit cross about that one <a class="hashtag" rel="nofollow noopener" href="https://bsky.app/search?q=%23antifascism" target="_blank">#antifascism</a> <a class="hashtag" rel="nofollow noopener" href="https://bsky.app/search?q=%23antifa" target="_blank">#antifa</a> <a class="hashtag" rel="nofollow noopener" href="https://bsky.app/search?q=%23antiracism" target="_blank">#antiracism</a> <a class="hashtag" rel="nofollow noopener" href="https://bsky.app/search?q=%23antiislamophobia" target="_blank">#antiislamophobia</a> <a class="hashtag" rel="nofollow noopener" href="https://bsky.app/search?q=%23islamophobia" target="_blank">#islamophobia</a> <a class="hashtag" rel="nofollow noopener" href="https://bsky.app/search?q=%23math" target="_blank">#math</a> <a class="hashtag" rel="nofollow noopener" href="https://bsky.app/search?q=%23algebra" target="_blank">#algebra</a> <a class="hashtag" rel="nofollow noopener" href="https://bsky.app/search?q=%23activism" target="_blank">#activism</a> <a class="hashtag" rel="nofollow noopener" href="https://bsky.app/search?q=%23anarchism" target="_blank">#anarchism</a>

Stuff I foundAdmittedly though, I am a bit cross about that one <a href="https://pixelfed.social/discover/tags/antifascism?src=hash" class="u-url hashtag" rel="nofollow noopener" target="_blank">#antifascism</a> <a href="https://pixelfed.social/discover/tags/antifa?src=hash" class="u-url hashtag" rel="nofollow noopener" target="_blank">#antifa</a> <a href="https://pixelfed.social/discover/tags/antiracism?src=hash" class="u-url hashtag" rel="nofollow noopener" target="_blank">#antiracism</a> <a href="https://pixelfed.social/discover/tags/antiislamophobia?src=hash" class="u-url hashtag" rel="nofollow noopener" target="_blank">#antiislamophobia</a> <a href="https://pixelfed.social/discover/tags/islamophobia?src=hash" class="u-url hashtag" rel="nofollow noopener" target="_blank">#islamophobia</a> <a href="https://pixelfed.social/discover/tags/math?src=hash" class="u-url hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://pixelfed.social/discover/tags/algebra?src=hash" class="u-url hashtag" rel="nofollow noopener" target="_blank">#algebra</a> <a href="https://pixelfed.social/discover/tags/activism?src=hash" class="u-url hashtag" rel="nofollow noopener" target="_blank">#activism</a> <a href="https://pixelfed.social/discover/tags/anarchism?src=hash" class="u-url hashtag" rel="nofollow noopener" target="_blank">#anarchism</a>

qbiDas Periodensystem der endlichen einfachen Gruppenvia <a href="https://www.reddit.com/r/math/comments/99brzy/the_periodic_table_of_finite_simple_groups/" rel="nofollow noopener" translate="no" target="_blank">https://www.reddit.com/r/math/comments/99brzy/the_periodic_table_of_finite_simple_groups/</a><a href="https://freie-re.de/tags/Mathematik" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathematik</a> <a href="https://freie-re.de/tags/Algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#Algebra</a> <a href="https://freie-re.de/tags/Gruppentheorie" class="mention hashtag" rel="nofollow noopener" target="_blank">#Gruppentheorie</a>

katch wreck... that's nothing new. the point was to address a related question: suppose that the eigensystem {v_i, λ_i}, i = 1, ..., n of a full-rank, well-conditioned n-by-n square matrix A is known, and then you are given a related matrix B = A + E, where E represents some type of random noise. Can a relationship between E and c be derived, such that the eigensystem of A also satisfies f( B v_i - λ_i v_i ) <= c, for all i and some f?<a href="https://mastodon.social/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://mastodon.social/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathematics</a> <a href="https://mastodon.social/tags/linearAlgebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#linearAlgebra</a> <a href="https://mastodon.social/tags/eigenvalue" class="mention hashtag" rel="nofollow noopener" target="_blank">#eigenvalue</a> <a href="https://mastodon.social/tags/eigensystem" class="mention hashtag" rel="nofollow noopener" target="_blank">#eigensystem</a> <a href="https://mastodon.social/tags/algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#algebra</a>

Ross Gayler#rstats hivemind assistance request: How to structure a program to change the algebraic properties of an arithmetic calculation independent of the structure of the calculation?

Rowan Brad QuniHumans are <a href="https://mstdn.science/tags/NotThatSmart" class="mention hashtag" rel="nofollow noopener" target="_blank">#NotThatSmart</a> with a multitude of <a href="https://mstdn.science/tags/laws" class="mention hashtag" rel="nofollow noopener" target="_blank">#laws</a> for how we *think* <a href="https://mstdn.science/tags/reality" class="mention hashtag" rel="nofollow noopener" target="_blank">#reality</a> works, that we then selectively pick and choose ("<a href="https://mstdn.science/tags/CafeteriaPhysics" class="mention hashtag" rel="nofollow noopener" target="_blank">#CafeteriaPhysics</a>") when it suits us (<a href="https://mstdn.science/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#physics</a>' GR/SM).Adding to our ignorant hubris, we proclaim that <a href="https://mstdn.science/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> is the language of the <a href="https://mstdn.science/tags/cosmos" class="mention hashtag" rel="nofollow noopener" target="_blank">#cosmos</a> + the <a href="https://mstdn.science/tags/universe" class="mention hashtag" rel="nofollow noopener" target="_blank">#universe</a> is constant and immutable! Yet we fail <a href="https://mstdn.science/tags/algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#algebra</a>: the same variable **is the same value** in a system of equations:E = mc^2 E = hf Therefore, mc^2 = E = hf (basic algebra, transitive and commutative properties)

Bill SeitzYeah, we couldn't figure out how to stop, mitigate, or adapt-to climate change, but.... <a href="https://toolsforthought.social/tags/algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#algebra</a> <a href="https://toolsforthought.social/tags/TAG" class="mention hashtag" rel="nofollow noopener" target="_blank">#TAG</a> <a href="https://toolsforthought.social/tags/gifted" class="mention hashtag" rel="nofollow noopener" target="_blank">#gifted</a> <a href="https://toolsforthought.social/tags/civilization" class="mention hashtag" rel="nofollow noopener" target="_blank">#civilization</a>

screwlisp<a href="https://gamerplus.org/tags/softwareEngineering" class="mention hashtag" rel="nofollow noopener" target="_blank">#softwareEngineering</a> <a href="https://gamerplus.org/tags/programming" class="mention hashtag" rel="nofollow noopener" target="_blank">#programming</a> <a href="https://gamerplus.org/tags/commonLisp" class="mention hashtag" rel="nofollow noopener" target="_blank">#commonLisp</a> <a href="https://gamerplus.org/tags/assertions" class="mention hashtag" rel="nofollow noopener" target="_blank">#assertions</a> <a href="https://gamerplus.org/tags/algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#algebra</a> - tight, efficient <a href="https://gamerplus.org/tags/lazyEvaluation" class="mention hashtag" rel="nofollow noopener" target="_blank">#lazyEvaluation</a> vector multiplication with <a href="https://gamerplus.org/tags/series" class="mention hashtag" rel="nofollow noopener" target="_blank">#series</a> . <a href="https://screwlisp.small-web.org/programming/cl-series-vector-mult-assert-lisp-interactivity/" rel="nofollow noopener" translate="no" target="_blank">https://screwlisp.small-web.org/programming/cl-series-vector-mult-assert-lisp-interactivity/</a>I use assert in lisp, which automatically generates an interactive in-context failure resolution which I utilize in the article, where the lazy cotruncation series feature was not wanted. Shows off a <a href="https://gamerplus.org/tags/lisp" class="mention hashtag" rel="nofollow noopener" target="_blank">#lisp</a> useage: classic.<a href="https://ieji.de/@vnikolov" class="u-url mention" rel="nofollow noopener" target="_blank">@vnikolov</a> what do you think of this example of assert viz your assertables? + <a href="https://climatejustice.social/@kentpitman" class="u-url mention" rel="nofollow noopener" target="_blank">@kentpitman</a>

Sci-books.comThe Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities 1st Edition by J. Michael Steele (PDF) Author: J. Michael Steele File Type: PDF Download at <a href="https://sci-books.com/the-cauchy-schwarz-master-class-an-introduction-to-the-art-of-mathematical-inequalities-1st-edition-b00killjla/" rel="nofollow noopener" translate="no" target="_blank">https://sci-books.com/the-cauchy-schwarz-master-class-an-introduction-to-the-art-of-mathematical-inequalities-1st-edition-b00killjla/</a> <a href="https://mastodon.social/tags/Algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#Algebra</a>, <a href="https://mastodon.social/tags/J" class="mention hashtag" rel="nofollow noopener" target="_blank">#J</a>.MichaelSteele

katch wreck`Although the term "matrix" was introduced into mathematical literature by James Joseph Sylvester in 1850, the credit for founding the theory of matrices must be given to Arthur Cayley, since he published the first expository articles on the subject. ... Cayley's introductory paper in matrix theory was written in French and published in a German periodical [in 1855]`<a href="https://mathshistory.st-andrews.ac.uk/Biographies/Cayley/" rel="nofollow noopener" translate="no" target="_blank">https://mathshistory.st-andrews.ac.uk/Biographies/Cayley/</a><a href="https://mastodon.social/tags/history" class="mention hashtag" rel="nofollow noopener" target="_blank">#history</a> <a href="https://mastodon.social/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://mastodon.social/tags/mathHistory" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathHistory</a> <a href="https://mastodon.social/tags/matrix" class="mention hashtag" rel="nofollow noopener" target="_blank">#matrix</a> <a href="https://mastodon.social/tags/linearAlgebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#linearAlgebra</a> <a href="https://mastodon.social/tags/algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#algebra</a>

Project GutenbergAlgebra is more than alphabet soup – it’s the language of algorithms and relationshipsBy Courtney Gibbons<a href="https://theconversation.com/algebra-is-more-than-alphabet-soup-its-the-language-of-algorithms-and-relationships-234541" rel="nofollow noopener" translate="no" target="_blank">https://theconversation.com/algebra-is-more-than-alphabet-soup-its-the-language-of-algorithms-and-relationships-234541</a><a href="https://mastodon.social/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathematics</a> <a href="https://mastodon.social/tags/number" class="mention hashtag" rel="nofollow noopener" target="_blank">#number</a> <a href="https://mastodon.social/tags/algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#algebra</a>

Sci-books.comAn Algebraic Introduction to K-Theory (Encyclopedia of Mathematics and its Applications Book 87) 1st Edition by Bruce A. Magurn (PDF) Author: Bruce A. Magurn File Type: PDF Download at <a href="https://sci-books.com/an-algebraic-introduction-to-k-theory-encyclopedia-of-mathematics-and-its-applications-book-87-1st-edition-b00cf0jlyo/" rel="nofollow noopener" translate="no" target="_blank">https://sci-books.com/an-algebraic-introduction-to-k-theory-encyclopedia-of-mathematics-and-its-applications-book-87-1st-edition-b00cf0jlyo/</a> <a href="https://mastodon.social/tags/Algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#Algebra</a>, <a href="https://mastodon.social/tags/BruceA" class="mention hashtag" rel="nofollow noopener" target="_blank">#BruceA</a>.Magurn

Sci-books.comElementary Dirichlet Series and Modular Forms (Springer Monographs in Mathematics) 2007th Edition by Goro Shimura (PDF) Author: Goro Shimura File Type: PDF Download at <a href="https://sci-books.com/elementary-dirichlet-series-and-modular-forms-springer-monographs-in-mathematics-2007th-edition-b00fb2pqmy/" rel="nofollow noopener" translate="no" target="_blank">https://sci-books.com/elementary-dirichlet-series-and-modular-forms-springer-monographs-in-mathematics-2007th-edition-b00fb2pqmy/</a> <a href="https://mastodon.social/tags/Algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#Algebra</a>, <a href="https://mastodon.social/tags/GoroShimura" class="mention hashtag" rel="nofollow noopener" target="_blank">#GoroShimura</a>

ƧƿѦςɛ♏ѦਹѤʞWhy weren't you taught the cubic formula? <a href="https://www.youtube.com/watch?v=N-KXStupwsc" rel="nofollow noopener" translate="no" target="_blank">https://www.youtube.com/watch?v=N-KXStupwsc</a> <a href="https://mastodon.social/tags/Mathologer" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathologer</a> <a href="https://mastodon.social/tags/BurkardPolster" class="mention hashtag" rel="nofollow noopener" target="_blank">#BurkardPolster</a> @Mathologer <a href="https://mastodon.social/tags/NumberTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#NumberTheory</a> <a href="https://mastodon.social/tags/algebra" class="mention hashtag" rel="nofollow noopener" target="_blank">#algebra</a> <a href="https://mastodon.social/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#geometry</a> <a href="https://mastodon.social/tags/quadratic" class="mention hashtag" rel="nofollow noopener" target="_blank">#quadratic</a> <a href="https://mastodon.social/tags/cubic" class="mention hashtag" rel="nofollow noopener" target="_blank">#cubic</a> <a href="https://mastodon.social/tags/polynomial" class="mention hashtag" rel="nofollow noopener" target="_blank">#polynomial</a> <a href="https://mastodon.social/tags/maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#maths</a> <a href="https://mastodon.social/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathematics</a> <a href="https://mastodon.social/tags/education" class="mention hashtag" rel="nofollow noopener" target="_blank">#education</a> <a href="https://mastodon.social/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a>

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