Intersections

Geometric object = a set of points satisfying a given relationship(e.g. equations)

“Flat” = defined by linear equations
Linear equations:
-Can add and subtract variables and constants
-Can multiply a variable by a constant

Linear: x + 2y = 1, y/2 – 2z =x
Nonlinear: x^2 -1 = y, y/x = 3

Equations come from observed or modeled relationships between real-world quantities.

ML for trading
stock:A, B
Wa = proportion of portfolio invested in A
Wb = proportion of portfolio invested in B
0 < Wa, Wb < 1 β value = measure of correlation of a stock's price movements with market movement β of portfolio = weighted average of individual components' β values Wa + Wb = 1 B portfolio = 2Wb - Wa = 0 Variables: weights of the stocks Constraints: equations representing physical realities or objectives Lines in Two dimensions Two pieces of info define a line -basepoint x -direction vector v x(t) = x + tv Ax + By = 0 (A and B not both 0)