What you’re describing is unambiguously a discontinuity.
A line from (0,0) to (5,0) and then from (5,0) to (5,6) is discontinuous by definition.
What you’re describing is unambiguously a discontinuity.
A line from (0,0) to (5,0) and then from (5,0) to (5,6) is discontinuous by definition.
It’s not debatable; you’re just wrong here, and I don’t understand why.
It’s not debatable; you’re just wrong here, and I don’t understand why.
for instance: as the number n of dimensions increases, the volume of an n-dimensional ball concentrates into a thin outer shell close to the boundary; the interior shrinks away
for instance: as the number n of dimensions increases, the volume of an n-dimensional ball concentrates into a thin outer shell close to the boundary; the interior shrinks away
Mp3 encoding
FFT
Freaking N-dimensional convolution, truly based stuff
Runge-kutta 4th
Z-transform
Not sure i'd call any of them beautiful but there's some clever stuff going on
Mp3 encoding
FFT
Freaking N-dimensional convolution, truly based stuff
Runge-kutta 4th
Z-transform
Not sure i'd call any of them beautiful but there's some clever stuff going on
Yes, there is a cover up, it's bad, & lots of people will deny involvement.
Yes, there is a cover up, it's bad, & lots of people will deny involvement.
https://www.newsbeep.com/us/288774/
Materials TMC, melamine and N-Methyl-2-pyrrolidone (NMP) were open and stored in a N2-environment glovebox. All other reagents, including…
https://www.newsbeep.com/us/288774/
Materials TMC, melamine and N-Methyl-2-pyrrolidone (NMP) were open and stored in a N2-environment glovebox. All other reagents, including…
Materials TMC, melamine and N-Methyl-2-pyrrolidone (NMP) were open and stored in a N2-environment glovebox. All other reagents, including acetone, isopropyl alcohol (IPA), TFA, deuterated TFA, polystyrene (280 kDa), anisole,…
Materials TMC, melamine and N-Methyl-2-pyrrolidone (NMP) were open and stored in a N2-environment glovebox. All other reagents, including acetone, isopropyl alcohol (IPA), TFA, deuterated TFA, polystyrene (280 kDa), anisole,…
Read the full @statnews.com story: www.statnews.com/2025/11/06/n...
Read the full @statnews.com story: www.statnews.com/2025/11/06/n...
1️⃣ WHAT is represented → relational structure > appearance
2️⃣ HOW it is represented → compact, low-dimensional manifolds aligned with task structure
3️⃣ WHERE it is represented → from domain-specific to domain-general networks
10/n
1️⃣ WHAT is represented → relational structure > appearance
2️⃣ HOW it is represented → compact, low-dimensional manifolds aligned with task structure
3️⃣ WHERE it is represented → from domain-specific to domain-general networks
10/n
Using manifold dimensionality (Participation Ratio), we find lower-dimensional, more compressed neural codes in experts. And these compressed manifolds carry more task-relevant information.
👉 Experts pack more information into fewer dimensions.
7/n
Using manifold dimensionality (Participation Ratio), we find lower-dimensional, more compressed neural codes in experts. And these compressed manifolds carry more task-relevant information.
👉 Experts pack more information into fewer dimensions.
7/n
Ergo, sex, biologically, is a continuum.
Ergo, sex, biologically, is a continuum.
1/2⤵
1/2⤵
Youngjoo Yun, Rishabh Dudeja
http://arxiv.org/abs/2511.07270
Youngjoo Yun, Rishabh Dudeja
http://arxiv.org/abs/2511.07270
How do you address a 'bug' in an LLM? It is, at heart, a gigantic n-dimensional set of probabilistic values. GPT4 is estimated to have about 1-2 trillion.
How do 'debug' that massive set of numbers?
How do you address a 'bug' in an LLM? It is, at heart, a gigantic n-dimensional set of probabilistic values. GPT4 is estimated to have about 1-2 trillion.
How do 'debug' that massive set of numbers?