https://eli.thegreenplace.net/2025/hilbert-space-treating-functions-as-vectors/ #Eureka #HilbertSpace #InfiniteDimensions #MathFun #MathMisery #HackerNews #ngated
Hilbert space: Treating functions as vectors
https://eli.thegreenplace.net/2025/hilbert-space-treating-functions-as-vectors/
#HackerNews #HilbertSpace #FunctionsAsVectors #MathPhysics #QuantumTheory
Berberian, Sterling Khazag. Introduction To Hilbert Space. Oxford University Press, 1961. Reprint Literary Licensing, 2012.
He’s not happy that it ignores measure theory as a means to introduce the Lebesque integral, so he’ll be supplementing that with additional notes. I’ve ordered a used copy of the 1st edition, but there are also versions from AMS as well as a more recent reprint from 2012.
He also suggested that Debnath & Mikusinski was pretty good, albeit more expensive than he would like in addition to not being a fan some of their approaches to topics.
Debnath, Lokenath, and Piotr Mikusinski. Introduction to Hilbert Spaces with Applications. 3rd ed., Academic Press, 2005.
Looking for some serious entertainment with an intellectual bent on Tuesday nights this fall? Professor Michael Miller has got you covered in multiple dimensions. Dr. Miller has now listed his mathematics offering for Fall 2025 at UCLA Extension. It's Introduction to Hilbert Spaces: An Adventure In Infinite Dimensions (MATH 900). As always, it will be
Introduction to Hilbert Spaces: An Adventure In Infinite Dimensions
Looking for some serious entertainment with an intellectual bent on Tuesday nights this fall? Professor Michael Miller has got you covered in multiple dimensions. Dr. Miller has now listed his mathematics offering for Fall 2025 at UCLA Extension. It's Introduction to Hilbert Spaces: An Adventure In Infinite Dimensions (MATH 900). As always, it will be presented in lectures on Tuesday nights from 7:00 PM to 10:00 PM with a short break in the middle. The class runs from September 23 - […]Hilbert spaces are mathematical constructs used in information retrieval to represent and analyze data in high-dimensional vector spaces. They provide a framework for modeling the relationships and similarities between documents, queries, and other information elements, enabling advanced techniques like latent semantic analysis and vector space models to improve the accuracy and effectiveness of search and recommendation systems.
Early in 2024 I started spending time with Barb Ash, who I met in the Los Gatos Coffee Roasting. Being with Barb makes me a lot happier than I've been for the last year and a half. I'm glad I met her. In May, we went ahead and did a trip to England together, spending
#DavidDeutsch - What Does #QuantumTheory Mean?
https://www.youtube.com/watch?v=0CwPa0tScf8
#Philosophy #PhilosophyOfScience #Science #Physics #QM #QuantumPhysics #QuantumMechanics #ManyWorlds #Multiverse #Time #QuantumGravity #WaveFunction #HilbertSpace #CloserToTruth #RobertKuhn
If you mean the kind of #Nothing that #Physicists can talk about (some kind of #HilbertSpace or #StateSpace of possibilities where the #LawsOfPhysics can operate) then yes.