wzrc

 music, notes, stuff

playlist

 sample drums here
chill, jazz, funk, not old music
  1. truth
  2. 1989
  3. ready
  4. vacuum
  5. djm
  6. moonrocks
  7. naima
  8. earth
  9. silas
  10. qwalia
  11. gaia
  12. brazil
  13. cats
  14. it has the st denis bass lick
  15. gwang
  16. spring
  17. montara
  18. flowers
  19. butcherBrown
  20. replaceme
  21. mononeon donyea
  22. 1992
  23. swagism
  24. zoo
  25. natesmith
  26. knuckles
  27. shaun martin
  28. noir
  29. leaves
  30. end

text

 rowreducing
linear algebra notes i took from a DS textbook

linear algebra stuff works on things that are linear

basis vectors are the building blocks of vectors (it's like the squares in our 2d graph).

span is the space of the combinations that our vector can reach. sometimes your basis vectors can reach all available dimensions, sometimes not.

a matrix describes a transformation composed of its basis vectors. when you perform matrix-vector multiplication, you apply that transformation to the vector. matrix-matrix multiplication is just applying a transformation to another transformation. alternatively you can imagine matrix-vector multiplication as scaling the vector along the matrix's eigenvector by its eigenvalue (probably doesn't apply when eigenvalue is complex? idk???).

\(A\vec{v}=\lambda\vec{v}\)

\((A-\lambda I)\vec{v}=0\)

determinant describes how much your transformation (matrix) scales an area. Negative determinant means we invert ourselves, and a determinant of zero means we smash space to a lesser dimension (not necessarily one dimension down).

solve for \(\lambda\), \(det(A-\lambda I)=0\)

NOTE: discriminant is \(\sqrt{b^2-4ac}\)

Monoid: is a set, associative, has law of composition, and a unit element, represents a binary operation. e.g. \(S^2\mapsto S\)


playlist

 ...
classical guitar, no BOSSA allowed, flamenco
  1. ldfelices
  2. despeus
  3. 200ph
  4. pedra
  5. ondas
  6. dissimulado
  7. Guinguiana
  8. tua_imagem
  9. FLORESTA
  10. outro

text

 can't forget these
math stuff that I should NOT forget

\(\log_2(8) = x\) is asking us "what power do I take 2 to in order to get 8?"

\(\log_a(b) = c\) is equal to \(a^c = b\)

One time I was trying to find the amount of digits of a really large number like 11578902317. If the number had commas, it’d be easier to see the digit count, but it wasn’t formatted that way. We could use \(\log_a(b)\) tells us how many digits \(b\) has, given an \(a\) based numbering system.

\(floor(log_{10}(11578902317)) + 1 = 11\) digits.

Commutative is about the order of operands

Associate is about the order of operations

Transitivity is about relationships


reading

 📙
stuff i enjoyed reading