#Null Space

Day 299 Ost:*cutscene null space* from Sonic Forces GOTTA GO FAST! 🦔💨 #sonicthehedgehog #sonic #gaming #gottagofast #sonicmusic shadowthehedgehog

What is a kernel? What is a null space? How are the two related? How do you compute them? Very important questions in linear algebra! So let's go thru the definitions and examples #math #linearalgebra #nullspace

The @kalliasofficial run was a blast! Here is a clip from our first live performance of the track “Null Space”.

The Rank-Nullity Theorem is an important result in linear algebra that tells us how a linear map splits a vector space in subspaces. Given a linear map A (for example, a matrix), vectors that are mapped to zero are called elements of the null space, or kernel. The set of outputs under multiplication is called the image. This decomposition allows out to determine the dimensions of one subspace if we know the other. In finite dimensions, this result can tell us whether a matrix is invertible: it can only be inverted if the kernel is just the zero vector - this means no information is “lost”. This also allows use to know if a system of equations is solvable. We can also generalise this equation to other algebraic structures into the first isomorphism theorem of algebra. In infinite dimensions, we can use similar results to analyse linear operators, allowing us to determine existence and uniqueness of solutions to certain differential equations. These results (known as index theorems) relate these solutions to the geometry of the space - a very powerful result for theoretical physics and differential geometry. #physics #math #mathmemes #mathmatics #stem #science #equation #equations #oxbridge #oxford #cambridge #universe #university #blackhole #physicsfun #physicist #physicists #mathproblems #scientist #scientific #physicsnotes #experiment #cern #physicsmemes #antimatter #quantum #quantumphysics #quantumtheory #quantumfield

@prod.neft._ ☔️ #flstudio #omnisphere #noloops #nosamples #music

Want to learn Math for ML? This is MIT’s roadmap to learn Linear Algebra. This was the EXACT roadmap that I followed to land a 6-figure data science ML job. Here is the list: 1. Elimination 2. Matrix inverse 3. A = LU Factorizarion 4. Verctor Spaces 5. Column Space 6. Null Space Ax=0 7. Rref Ax=b 8. Projections X(X*X)^X* 9. Eigen decomp A=X^LX 10. SVD A=UDV* if you want the ENTIRE curriculum with lectures and homework, comment “Eigenvector.” I will DM you the entire FREE MIT course!! #mathematics #ml #python #computerscience #CS #Math #Phd #Statistics #datascience #ai #Machinelearning #engineering #computers

We often think of empty space as truly empty, but quantum physics says otherwise. Even when there are no particles around, space is still filled with invisible quantum fields that are constantly in motion. Physicist David Tong explains this idea using a visual simulation that shows the vacuum as something active rather than calm or empty. Tiny fluctuations happen all the time, with virtual particles briefly appearing and disappearing. This is a normal feature of quantum physics, not an exception. One real effect of this hidden activity is the Casimir effect. When two uncharged metal plates are placed extremely close together, they are gently pulled toward each other. The reason is that quantum fluctuations outside the plates are stronger than those in the small gap between them, creating a net force. This effect has been measured and matters in very small scale technologies. Seeing “nothing” as something active changes how we think about space itself. Tong’s explanation helps make this idea easier to grasp, showing that even the emptiest parts of the universe are never truly quiet. 🎥/ @ri_science , https://youtu.be/zNVQfWC_evg?si=TUjLPjzzjAjp9X_-

The Universe has a problem with the number zero. And that problem has a name: THE SINGULARITY. At the center of every black hole lies a point where space, time, and the laws of physics completely break down. A point of infinite density. A point of zero volume. A point where our equations scream — undefined. Scientists call it a singularity. And the terrifying truth? We don’t fully understand what happens there. Does time stop? Does space fold into itself? Does something else begin? The singularity isn’t just a place in space — it’s the edge of human knowledge. The moment where our greatest theories fail us. And somewhere out there, millions of them exist — silently waiting at the hearts of black holes across the cosmos. Follow @quantumxparadoxx for deep cosmic insights and mind-expanding space videos 🚀 #Singularity #BlackHolePhysics #CosmicMysteries #Astrophysics #spaceexploration

in the void 🪐 Visuals and production by @echoesofjoonas. I create my surreal AI videos and content using various tools such as Midjourney, Freepik and Topaz Labs. I aim to explore emotion at the crossroads of human creativity and machine intelligence.

...#lyrics #tradução #song #edit #liminalspaces

Tap tap 🎶 Null Space 🎥 @rx.misanthropicloner

Liminal Spaces with The Style Astronaut ✨ Tunes in the helmet : A1 - Just a burning Memory @thecaretaker Liminal space : B̶̻̤̾̈́̑̉̓́͗̓͐͋̑̃̇̂̊͒̚͠Ȧ̸̭͓͓͕̖̔̓̃̆̅́̓̈̍̔̔̃̔̈́̅͋̽̕͝͝C̵̛̛̫̰̝̻̭͓̮̜̄̀̌͋̉̉̇͌̉̄̈͌̌͘͘͝͝Ķ̷̧̞̰̜̩̤̼̪̝̝͔̙̺̖̗̅̈̌͂̏̐̋̚͝Ŗ̴̛̤̭̩͙̞́̿̃̓͂̽͂̇̈̊͜Ơ̵̡͔͙̥̝̭͖̜͈̯̰̣̲͔͓̮̼͒̎̐̾͒̈́̽͊̐̐͂̐͛̓̎̀͠O̴͑̈̿͒̍͜͠M̴̥̹̻̻̩̭̓̈́̐́̌̈̔̌̅ ̶̡̢̠̭͍̯̙͖͍̖͖̥̳̞̝̝̪̺͍̖͒̆͛̈́ͅͅͅB̵̧̥͉̟̣̪͈͍͓̫̜͖̠̿̎̾̂̽̾͂͌̔̐̾̇̏̓͑̊́͘A̴͎͑̒͊͂̈́͑̍̎̐͗̋̒͑̊̀̒͘͝͝͝T̵̡̞̲̭͍͖̩͓͕͓̜̏̿̽̅̃̃̎̅̓͆̐͛̎̅͆̍̈͘̕͘͜͜͝ͅH̴̖̬̒R̷̗͓̥̤̀̋͆̈́͑̆͠Ờ̸̡̨͓̣͎͖̬̮͙̟̠̗̩̠̝̱̯͔̣̼̬̲̊͌̋̽̓͆͑̍̊̑̓̕O̴̧̡̦̙͎̮͖͈͖̭̱͉͙̘̥̱̩̣̱͇̎̏̽̿͑͛͗̍͐̋͗͊͋̌̉̓͗͒̀̕̕͝M̵̡̨̨̡̦̪̺̦̘̘̮̩̥͙̗̣̟̹̊͂̊̏̏̈́̇̄̂̿̅ͅS̸̛͖̖͖͎̣̭̫͕̳͇͇̫̜̺̘̽̊̃͊̋́̀̔̏͋̈́̀̀̂̊ Curtesy of @amberfromsalem @diewithbootson 🫶✨ thanks for letting an astronaut have a liminal space explore session Fitcheck Deetz : Vintage @betseyjohnson Stripes sweater hoodie Mini Bloomers @foxbloodshop Fleece lined leggings @primark Customized Boots @yokai.curio #liminalspaces #backrooms