#tensors

[dnieperrobot69420]

Taking a slight tangent from classical optics, I decided to delve more into non-linear optics.

As someone who never had to use Gaussian form of Maxwell's equations, never used Tensors, and had never used Einsteins notation for summation; let me just say the algebra of the book proved to be a hard nut to crack!

What am I learning about? Anisotropy! Who knew that the direction at which you observe/propagate through a material such as a crystal plays a role in the material properties you will experience!!

I still don't believe you can determine eigenvalues and eigenvectors for an arbitrary 3x3 permittivity matrix (I need to use numerical examples to really see it) and that there exists rotational matricies that let us make the math all neat and proper.

But, slowly and with growing pains, I am continuing to slowly tread the waters of this fascinating topic!

[studywith-minmin-shelved]

[12/26/23] Day 8: Tensors and Cheesecake

I went to a cafe with my dad to work today. Had a great Frappuccino and a mindblowing cheesecake for lunch. It paired well with a light reading of Part I of Zee's QFT in a Nutshell.

Today's crowning achievement is that I finally get what a tensor is, hallelujah. No thanks to my physics education; everyone was so vague about it! Things are slowly falling into place when it comes to tensor calculus since I don't want to know it like a mathematician. Just enough to get a handle on things.

Meanwhile, I just couldn't make it through another QFT lecture today. Didn't manage time well and ended up so sleepy that I quit twelve minutes in. Oh well, difficult things take time.

[eiosys-seo]

What is a Tensor in AI?

Tensors are the backbone of AI & deep learning! They act like multi-dimensional arrays, allowing AI to process & store data efficiently. Think of them as an advanced version of matrices! 🧠🚀 #AI #Tensors #DeepLearning #TechExplained

Read more- What is Tensor in AI?

[dandelionsandderivatives]

Overtures of friendship were received well. Tensions remain high; however, we have hopes of establishing a healthy working relationship with the tensors.

why are tensors like this

[turbofanatic]

Floyd was such a good design I’ve decided to recycle him for Living Creatures. I never managed to show his monster form in Sanguine Tensor anyways (it would have taken ten comics to get there! What was I thinking?). Now he’s a weird posthuman dragon thing. Anyways, here’s when he gets his ass wrecked by Lioness. Literally. She cuts his ass off. I’m so sorry Floyd.

[proof-by-intimidation]

Ok this is like an itch in my brain, even though I think it's true, I am getting confused the more I look at it.

Suppose B,M, N, P are A-modules. Suppose I know that the sequence

is exact in the category of A-mod. Then is it also exact in the category of B-mod?

[duct-taped-shoes]

For Go Skate Day this year I put together the set up I wanted when I first started skating

[aroaessidhe]

trans rights readathon !

here's some of my favourite trans books I happen to own. (bottom 3 designed by me:))

as a bit of a wrapup; I've posted reviews for some of the trans books I've read recently:

Everyday Aliens

Phoenix Extravagant (reread, but my 2021 reviewpost is here. might write a longer one sometime)

The Subtweet

They Bloom At Night

The Woods All Black

A Song for You & I

Strange Bedfellows

also a most recent trans aro & ace books post!

And finally: I did some fanart of They Bloom At Night!

Remember: TRR is also about donating to trans organisations/mutual aid! I've donated to this mutual aid fund for queer & trans palestinians and gender minorities aotearoa

[kanoyachi]

flow without stopping

[questioning-my-identity-element]

as someone with a passing knowledge of knot theory & a dilettante interest in math I'm really interested in the behavior/rules of those graphs, could you talk a little more about them?

this is my first ask! and it's on my research!!! i still do research in this area. i am getting my phd in topological quantum computation. i saw someone else talk about categorical quantum in response to the post. as i understand, this is a related but distinct field from quantum algebra, despite both using monoidal categories as a central focus.

if you're familiar with knot theory, you may have heard of the jones polynomial. jones is famous for many things, but one of which is his major contributions to the use of skein theory (this graphical calculus) in quantum algebra, subfactor theory, and more.

For an reu, i made an animation of how these diagrams, mostly for monoidal categories, work:

https://people.math.osu.edu/penneys.2/Synoptic.mp4

to add onto the video, in quantum algebra, we deal a lot with tensor categories, where the morphisms between any two objects form a vector space. in particular, since these diagrams are representing morphisms, it makes sense to take linear combinations, which is what we saw in the post. moreover, any relationships you have between morphisms in a tensor category, can be captured in these diagrams...for example, in the fusion category Fib, the following rules apply (in fact, these rules uniquely describe Fib):

thus, any time, these show up in your diagrams, you can replace them with something else. in general, this is a lot easier to read than commutative diagrams.

[chelledoggo]

my overreactive tensor tympani muscle when i hear a loud, harsh, high pitched noise

[studywith-minmin-shelved]

[01/04/23] Day 17: Worry Less, Math More!

No QFT or Application stuff today but I had a lot of fun doing tensor calculus in the cafe today!

I have been thinking about a certain conversation I had with a TA recently, so I sat down to work through the algebra proof and finally figured out what he said actually meant. It was kind of embarrassing because I was trying to answer a different question and was talking myself in circles.

It’s kind of funny how I’m treating abstract algebra as a hobby now!

[fruitlicense]

went and saw Interstellar in IMAX on Wednesday and I’m still thinking about it. 4th time I’ve seen the film, 2nd time with a bunch of other physicists, but first time in theaters. I’m still looping the score and thinking about what it is to watch that film a little too close to the screen, when every feeling is just a little too big to hold. it’s a movie about space, about science, about love. it’s about not being able to solve something no matter how hard you try and hurting people as you try to find yourself. it’s about hurting yourself in the process and coming back from it. it’s about care and honesty and humanity and encoding all of that in numbers sent across spacetime. it’s about feeling the same smallness in the vast universe and the dark of the theater when the organ music shakes your seat. it’s about the crashing waves and the gasping breaths and the spinning ship and crying for someone you love. anyway that movie fucks me up. it’s one of the most beautiful films in the world

[queereads-bracket]

Queer Fiction Free-for-All Book Bracket Tournament: Round 1C

Book summaries below:

The Witch Boy series (The Witch Boy, The Hidden Magic, The Midwinter Witch) by Molly Knox Ostertag

In thirteen-year-old Aster's family, all the girls are raised to be witches, while boys grow up to be shapeshifters. Anyone who dares cross those lines is exiled. Unfortunately for Aster, he still hasn't shifted . . . and he's still fascinated by witchery, no matter how forbidden it might be. When a mysterious danger threatens the other boys, Aster knows he can help -- as a witch. It will take the encouragement of a new friend, the non-magical and non-conforming Charlie, to convince Aster to try practicing his skills. And it will require even more courage to save his family . . . and be truly himself.

Graphic novel, fantasy, series, middle grade, young adult

The Black Tides of Heaven by Neon Yang

Mokoya and Akeha, the twin children of the Protector, were sold to the Grand Monastery as children. While Mokoya developed her strange prophetic gift, Akeha was always the one who could see the strings that moved adults to action. While his sister received visions of what would be, Akeha realized what could be. What's more, he saw the sickness at the heart of his mother's Protectorate.

A rebellion is growing. The Machinists discover new levers to move the world every day, while the Tensors fight to put them down and preserve the power of the state. Unwilling to continue to play a pawn in his mother's twisted schemes, Akeha leaves the Tensorate behind and falls in with the rebels. But every step Akeha takes towards the Machinists is a step away from his sister Mokoya. Can Akeha find peace without shattering the bond he shares with his twin sister?

Fantasy, politics, secondary world, novella, adult

[chazza-studies-mphys]

screenshots from two of today’s lecture slides, presented without comment:

[pbwells3]

"Beauty and the Beast" From the eclectic art of P.B. Wells.

DeviantArt Premium downloads include files for personal prints. Thank you. Take care and be well.

https://www.deviantart.com/pbwells/art/1154980574