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#algebra

3 posts3 participants0 posts today
Jason Weatherly

Another 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.

#nerdsnipe#math#algebra
Replied in thread
Eric Maugendre

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: baeldung.com/cs/gradient-desce

#optimization#algebra#linearAlgebra
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?

screwlisp

#softwareEngineering #programming #commonLisp #assertions #algebra - tight, efficient #lazyEvaluation vector multiplication with #series .
screwlisp.small-web.org/progra

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 #lisp useage: classic.

@vnikolov what do you think of this example of assert viz your assertables?
+ @kentpitman

Flipboard Science Desk

What do Sudoku, AI, Rubik’s cubes, clocks and molecules have in common? They can all be reimagined as algebraic equations.

From @TheConversationUS: "Algebra is more than alphabet soup – it’s the language of algorithms and relationships."

flip.it/41r-jh

The ConversationAlgebra is more than alphabet soup – it’s the language of algorithms and relationshipsWhat do Sudoku, AI, Rubik’s cubes, clocks and molecules have in common? They can all be reimagined as algebraic equations.
#Algebra#Math#Mathematics
reinoud kaasschieter

2025 = (1+2+3+4+5+6+7+8+9)² = 1³+2³+3³+4³+5³+6³+7³+8³+9³

Leuk toch? Meer bijzonderheden over 2025 en #Nichomachus in dit artikel geschreven door @ionica

[Artikel] 𝗪𝗮𝘁 𝟮𝟬𝟮𝟱 𝗼𝗼𝗸 𝗺𝗮𝗴 𝗯𝗿𝗲𝗻𝗴𝗲𝗻, 𝗵𝗲𝘁 𝗷𝗮𝗮𝗿𝘁𝗮𝗹 𝗶𝘀 𝘄𝗲𝗿𝗸𝗲𝗹𝗶𝗷𝗸 𝗲𝗲𝗻 𝗳𝗮𝗻𝘁𝗮𝘀𝘁𝗶𝘀𝗰𝗵 𝗴𝗲𝘁𝗮𝗹

Door Ionica Smeets

volkskrant.nl/wetenschap/wat-2 via @volkskrant

#Wiskunde#Algebra#Rekenen
Joshua Grochow

Just found an English translation of Emmy Noether's 1921 "Idealtheorie in Ringbereichen" ("Ideal Theory in Rings"): arxiv.org/abs/1401.2577

(while editing the wikipedia page on subdirect products - my first wiki edit to add an Emmy Noether reference! Turns out there's a direct lineage from Noether to Birkhoff's introduction of subdirect products in universal algebra. Just one more way in which she really revolutionized algebra.)

arXiv.orgIdeal Theory in Rings (Translation of "Idealtheorie in Ringbereichen" by Emmy Noether)This paper is a translation of the paper "Idealtheorie in Ringbereichen", written by Emmy Noether in 1920, from the original German into English. It in particular brings the language used into the modern world so that it is easily understandable by the mathematicians of today. The paper itself deals with ideal theory, and was revolutionary in its field, that is modern algebra. Topics covered include: the representation of an ideal as the least common multiple of irreducible ideals; the representation of an ideal as the least common multiple of maximal primary ideals; the association of prime ideals with primary ideals; the representation of an ideal as the least common multiple of relatively prime irreducible ideals; isolated ideals; the representation of an ideal as the product of coprime irreducible ideals; equivalent concepts regarding modules.
#math#AlgebraicGeomtry#Algebra
mc ☕

Learn Algebra with Julia - Math for entry-level IT professionals, vol. 1, #mybook #newbook 🆕 is available here:
leanpub.com/learnalgebrawithju

> As W. W. Saywer writes in his Mathematicians Delight, “The main object of this book is to dispel the fear of mathematics.”

> “It’s no secret that knowing advanced mathematical concepts and being comfortable with learning #math will open up more avenues for you as a software #developer. …"

> The very nature of programming is mathematical.

-- from the Intro

LeanpubLearn Algebra with JuliaLearn Algebra the fun way using Julia programming language
#algebra#julialang#programming
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