Alright, future engineers!
The **Norm** (`||v||`) is the length or magnitude of a vector. Ex: For `v=[3,4]`, `||v|| = sqrt(3^2 + 4^2) = 5`. Pro-Tip: Essential for calculating distances & normalizing vectors to unit length!
#LinearAlgebra #VectorMath #STEM #StudyNotes

Alright, future engineers!

A **Linear Combination** is a new vector made by scaling existing vectors & adding them. Ex: `2*[1,0] + 3*[0,1] = [2,3]`. Pro-Tip: It's the fundamental way to build new vectors within a given space!

#LinearAlgebra #VectorMath #STEM #StudyNotes

Alright, let's nail this Linear Algebra concept!

Dot product measures how much two vectors 'agree' on direction. Ex: For v=[v1,v2], w=[w1,w2], v.w = v1w1 + v2w2. Pro-Tip: If v.w = 0, they're orthogonal! Crucial for projections & bases.

#LinearAlgebra #VectorMath #STEM #StudyNotes

#APLQuest 2014-08: Write a function that returns the distance between two points in a space of any number of dimensions (see https://apl.quest/2014/8/ to test your solution and view ours).

#APL #EuclideanDistance #VectorMath

APL Quest 2014-8: Go The Distance

Write a function that returns the distance between two points in a space of any number of dimensions.

Piotr Migda tries to explain vector math magic in 'king – man + woman = queen' using #word2vec πŸ€“, but it's basically just a linguistic Ouija board session. πŸ€” Spoiler alert: it's still math, not #sorcery. πŸ§™β€β™‚οΈβœ¨
https://p.migdal.pl/blog/2017/01/king-man-woman-queen-why/ #PiotrMigda #vectorMath #linguisticOuijaBoard #mathNotMagic #HackerNews #ngated
king - man + woman is queen; but why? - Piotr MigdaΕ‚

Words, vectors, analogies and conceptual metaphors - the linear space of word2vec and GloVe. Or: how to change gender with a vector.

FYI: Vector Search Magic: Superhero & Sporty Car Combo! #shorts: By using vector math, one can combine a DeLorean image with the text query for superhero to generate an embedding. Averaging these embeddings together then allows a search to find a superhero on top of a sporty car with cool lights. #vectormath #image #superhero #DeLorean #embedding https://www.youtube.com/shorts/RMX2A02pP90
ICYMI: Vector Search Magic: Superhero & Sporty Car Combo! #shorts: By using vector math, one can combine a DeLorean image with the text query for superhero to generate an embedding. Averaging these embeddings together then allows a search to find a superhero on top of a sporty car with cool lights. #vectormath #image #superhero #DeLorean #embedding https://www.youtube.com/shorts/RMX2A02pP90
Vector Search Magic: Superhero & Sporty Car Combo! #shorts: By using vector math, one can combine a DeLorean image with the text query for superhero to generate an embedding. Averaging these embeddings together then allows a search to find a superhero on top of a sporty car with cool lights. #vectormath #image #superhero #DeLorean #embedding https://www.youtube.com/shorts/RMX2A02pP90
#100DaysOfCode day 18:
I finished the chapter bout #Vectors and #VectorMath. And I am happy to be moving forward. Not fully up to "top speed" brain wise, but getting better each day. Sleeping helps a lot.
#NatureOfCode #P5JS #JavaScript #CreativeCode #GenerativeCode

#!00DaysOfCode day 16:
More #vectorMath and more acceleration for vectors, but still a laugh. Can make me happy for a few hours to something "stupid" on the computer :)

#Math #JavaScript #P5JS #NatureOfCode #CreativeCode #GenerativeArt

https://github.com/mhoumann87/nature_of_code_js

GitHub - mhoumann87/nature_of_code_js

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