#mcal
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bluedementia.bsky.social
bsky.app/profile/mcal...
mcalpena.bsky.social Mar Calpena @mcalpena.bsky.social · 10d
Antes estaba firmado por Wendy Dávila. Lo han quitado.
September 26, 2026 at 10:01 AM
bluedementia.bsky.social
bsky.app/profile/mcal...
mcalpena.bsky.social Mar Calpena @mcalpena.bsky.social · 20d
Spinal tap have now withdrawn from the Ed Sheeran tour.
September 16, 2026 at 7:18 AM
bluedementia.bsky.social
bsky.app/profile/mcal...
July 27, 2026 at 1:33 PM
esqueer.net
This comes after another attempted shooting at a border patrol station in Texas. Unclear if these are related at all.

apnews.com/article/mcal...
Man with an assault rifle killed after shooting at a Border Patrol facility in Texas
Authorities say a 27-year-old man was killed after opening fire at a U.S. Border Patrol facility in McAllen, Texas.
apnews.com
July 9, 2025 at 3:42 AM
shinonomelab.bsky.social
約1Mcalの晩ごはん #青空ごはん部 #購買班
September 11, 2024 at 11:25 AM
mcalpena.bsky.social
Great minds etc bsky.app/profile/mcal...
mcalpena.bsky.social Mar Calpena @mcalpena.bsky.social · Jan 16
Anava a preguntar si, per la mateixa regla de tres que se substitueixen il·lustradores per la IA també es poden substituir guionistes, però havent passat ja per alguns llocs de l'audiovisual català no voldria jo donar idees.
January 16, 2026 at 4:44 PM
satin-bowerbird.bsky.social
ArtFight 2024: Attack for artfight.net/~Mercuriumis, featuring his awesome Miraidon/Charizard fusion, Mcal Draco.

artfight.net/character/38...

#digitalart #Birb'sArt #dragon #Miraidon #Charizard #pokemon #OC #Artfight #Artfight2024
February 6, 2025 at 1:44 AM
mcalerom.eurosky.social
Hace poco salió esto...

bsky.app/profile/mcal...
October 14, 2024 at 12:07 PM
sassyfrog.bsky.social
Trying to take photos of a large project brings ALL the kitties out 🧶 #mcal #crochet #wip
February 9, 2025 at 4:32 AM
mogswing.bsky.social
もぐさんも2Mcal消費したい
September 23, 2026 at 12:45 PM
mjk4mj.bsky.social
This shit didn't happen under Biden and Obama. bsky.app/profile/mcal...
March 23, 2026 at 2:45 PM
hypv.bsky.social
A lot of people think that the complex numbers are more nicely behaved than the real numbers. But in fact ℝ is better than ℂ, and model theory and Gottfried Wilhelm von Leibniz can help us to understand why. Part 2/2 #MathSky
\begin{frame}{Leibnizian structures} A structure $\Mcal$ is \highlightb{Leibnizian} if it satisfies Leibniz's identity of indiscernibles. \begin{itemize} \item In model theoretic language, if for all $x,y \in \Mcal$, we have $x = y$ iff $\type(x) = \type(y)$, \item Where $\type(x) = \{ \varphi : \Mcal \models \varphi(x) \}$ is the \highlightb{type} of $x$. \end{itemize} \bigskip \highlightv{Example:} $\mathbb Q$ is Leibnizian because e.g. $3/2$ is only number satisfying the property of being $1 + 1 + 1$ times the multiplicative inverse of $1 + 1$. \bigskip \highlightv{Example:} But if we consider $\mathbb Q$ merely as an order, not as an algebraic structure, then it is \highlightr{not} Leibnizian. (Proof: Exercise.) \bigskip \highlightv{Silly Example:} Any structure can be made Leibnizian by adding names for every object to the language, because then ``I am $x$'' is in the type of $x$. \end{frame} \begin{frame}{$\Rbb$ is good} \highlightv{\textbf{Theorem} (Dedekind)\textbf{:}} $\Rbb$, considered as an algebraic structure, is Leibnizian. \begin{itemize} \item Every rational number is uniquely definable, so properties like ``$3/2 < x$'' appear in the type of $x$. \item You can express $<$ using the fact that nonnegative numbers don't have square roots. \item Thus, $\type(x)$ includes all the information about the \highlightb{Dedekind cut} identifying $x$. \item Real numbers are identical iff they have the same Dedekind cut. \item For example, $0.999\ldots$ and $1$ are identical because for any rational number $q$, we have $q < 0.999\ldots$ iff $q < 1$. \end{itemize} \end{frame} \begin{frame}{Automorphisms} \textbf{\highlightv{Fundamental Theorem of Isomorphisms:}} If $\pi : \Mcal \cong \Ncal$ is an isomorphism, then for any property $\varphi$ and any $x \in \Mcal$, \[ \Mcal \models \varphi(x) \iff \Ncal \models \varphi(\pi x). \] In other words, $\type(x) = \type(\pi x)$ for every $x \in \Mcal$. \bigskip % \textit{\highlightv{Corollary:}} If $\Mcal$ has a nontrivial automorphism then it is not Leibnizian. \begin{itemize} \item Because $x$ and $\pi x$ have the same type. \end{itemize} \bigskip \textit{\highlightv{Remark:}} \highlightb{Rigid} ($=$ no nontrivial automorphisms) doesn't imply Leibnizian. \begin{itemize} \item If the language of $\Mcal$ has $\kappa$ many properties then $\Mcal$ has $2^\kappa$ many different possible types. \item Thus, Leibnizian $\Mcal$ can have cardinality at most $2^\kappa$. \item But there are rigid structures of any cardinality, e.g. well-orders. \end{itemize} \end{frame} \begin{frame}{$\Cbb$ is bad} \textbf{\highlightv{Theorem:}} $\Cbb$ has a nontrivial automorphism, so it is not Leibneizian. \begin{itemize} \item One automorphism is the one which flips the complex plane vertically. \item Assuming the \highlightv{axiom of choice} there are $2^{\aleph_0}$ many other automorphisms, but they are hard to write down explicitly. \end{itemize} \end{frame}
October 10, 2025 at 3:37 PM
ackey.bsky.social
にゃんにゃん（3Mcal消費）
July 5, 2026 at 8:58 AM
jodimca.bsky.social
I match-made them with their celebrant, who's a good friend of mine, so beginning 2026 in a sort of fairy godmother role felt very nice and wholesome for your romance writing pal Dr McAl.
January 2, 2026 at 10:36 PM
kaijusaur.io
From "merely" 10 Mcal a bite, to over a Gcal, and now pushing the Tcal range~
September 3, 2026 at 10:23 PM
organizingpower.bsky.social
Yea, each state in the US has its own sovereignty and separate education system. This is not unique.
bsky.app/profile/mcal...
June 14, 2026 at 2:16 AM
mcalpena.bsky.social
bsky.app/profile/mcal...
mcalpena.bsky.social Mar Calpena @mcalpena.bsky.social · Jun 25
This. Cal descolonitzar el debat sobre l'AC i la ventilació, o com a mínim tenir present aquest biaix.
thrasherxy.bsky.social dr. thrasher, an american writer in ex(archia)(xile) @thrasherxy.bsky.social · Jun 25
Imperial boomerang: for centuries, Europeans have framed tech to protect against cold (fire, furnaces) as noble and good, while they’ve framed the warm climates they colonized as full of lazy people (Asians, Africans) and, thus, the need to use AC or fans as frivaloues, wasteful & unnecessary
June 26, 2026 at 5:53 AM
lizzielizliz.bsky.social
A 27-year-old man was killed Monday after opening fire at a U.S. Border Patrol facility in McAllen, Texas, authorities said.

Federal agents returned fire at the man, who had an assault rifle and was carrying a utility vest, per McAllen Police Chief Victor Rodriguez.

apnews.com/article/mcal...
A man has been killed after opening fire at a US Border Patrol facility in Texas, authorities say
Authorities say a 27-year-old man has been killed after opening fire at a U.S. Border Patrol facility in McAllen, Texas.
apnews.com
July 7, 2025 at 3:36 PM
ackey.bsky.social
みなさんが酒を飲んで串を食べている間に私は2Mcalを消費しました（？？？）
September 23, 2026 at 12:44 PM
arisquetaigea.bsky.social
bsky.app/profile/mcal...
June 19, 2025 at 11:10 AM
whitedogsakura.bsky.social
これこれ。

youtube.com/watch?v=mCaL...
伝説のツッコミ
YouTube video by 人型エイリアンの宇宙船
youtube.com
November 21, 2025 at 1:49 PM
revealinglight.bsky.social
Trump’s America is a violent one apnews.com/article/mcal...
Man with an assault rifle killed after shooting at a Border Patrol facility in Texas
Authorities say a 27-year-old man was killed after opening fire at a U.S. Border Patrol facility in McAllen, Texas.
apnews.com
July 7, 2025 at 9:28 PM
balloondra.bsky.social
I can be a doting momballoon too, when I want to! Serving my dear @bestiarynia.bsky.social all the ultra-filling mochas she could ever want!
Two anthro characters, a purple cat on the left and a brown many-tailed fox on the right. The purple cat is very big and heavy from drinking many mochas labeled "The 1 MCal Mocha", while the brown fox is a balloonie with an inflated belly and chest to make her appear pregnant, and she is serving the cat these mochas. The illustration is in flat colors with highlights with a simple 2 point perspective background.
August 20, 2026 at 8:44 PM
hypv.bsky.social
A lot of people think that the complex numbers are more nicely behaved than the real numbers. But in fact ℝ is better than ℂ, and model theory and Gottfried Wilhelm von Leibniz can help us to understand why. Part 1/2 #MathSky
\title{Why $\mathbb R > \mathbb C$, and how model theory can help explain why} \author{Julia Redacted} \begin{document} \begin{frame} \titlepage \end{frame} \begin{frame}{How do you tell when two things are different?} Mathematicians love to gloss over this, but it's \highlightv{really hard} to tell whether two things are equal. One object can be presented in different ways and it can be non-trivial to see they give the same thing. \bigskip \begin{itemize} \item If you were ever confused why $1 = 0.999\ldots$ you've experienced this. \end{itemize} \bigskip If you're interested in some mathematical structure \highlightb{$\Mcal$} consisting of objects, how do you tell them apart? \end{frame} \begin{frame}{Leibniz's Identity of Indiscernibles} \begin{columns} \begin{column}{0.2\textwidth} \includegraphics[width=0.75in]{leibniz.jpg} \end{column} \begin{column}{0.8\textwidth} \highlightp{\textbf{\Large``}}Two objects are identical iff they have the same properties.\highlightp{\textbf{\Large''}} \vspace{.5in} \end{column} \end{columns} \begin{columns} \begin{column}{0.8\textwidth} \ Mathematically: $x$ and $y$ are objects in $\Mcal$. Then $x = y$ iff $\Mcal \models \phi(x) \iff \Mcal \models \phi(y)$ for every property $\phi$. \begin{itemize} \item $\Mcal \models \varphi(x)$ is model theorist speak for \highlightv{$x$ has property $\varphi$ in the structure $\Mcal$}. \item It's circular to have a property like ``identical to $x$''. We only mean properties you can express in the \highlightv{language} of the structure, e.g. the language of rings. \end{itemize} \end{column} \end{columns} \end{frame} \begin{frame}{Telling numbers apart} \begin{itemize} \item You can distinguish $1$ from any other number, because $1$ is the only number which is a multiplicative identity. \item You can distinguish $\pi - e$ from $\pi/e$ because one is negative and the other is positive. \item You might think you can distinguish $i$ and $-i$ because only one is on the top half of the complex plane, but what if you are holding $\Cbb$ upside down? \end{itemize} \end{frame}
October 10, 2025 at 3:37 PM
hachefilardi.bsky.social
¡Esto que dice Mar es muy, muy potente! bsky.app/profile/mcal...
mcalpena.bsky.social Mar Calpena @mcalpena.bsky.social · Mar 22
También es un "back to basics". Un "quita lo superfluo". Yo en lecturas más abstractas, o para pedir consejo, la veo un poco así.
March 22, 2026 at 1:35 PM